kyleaskine

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May 15th, 2026
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  1. Thu May 14 15:43:23 2026
  2. Thu May 14 15:43:23 2026
  3. Thu May 14 15:43:23 2026 Msieve v. 1.54 (SVN unknown)
  4. Thu May 14 15:43:23 2026 random seeds: 0c7235ea be80a34a
  5. Thu May 14 15:43:23 2026 Using 14 OpenMP threads
  6. Thu May 14 15:43:23 2026 factoring 855371720505851403184744765057626512422186268833412926647444117498623979221367215263161087069642860664898007846228956383831636254205330411334109019456679623841722330964936863080773324149623556018549375761359883210119015825054007849749080199 (240 digits)
  7. Thu May 14 15:43:23 2026 no P-1/P+1/ECM available, skipping
  8. Thu May 14 15:43:23 2026 commencing number field sieve (240-digit input)
  9. Thu May 14 15:43:23 2026 R0: 141926026370668085609056630575488383791043
  10. Thu May 14 15:43:23 2026 R1: -1
  11. Thu May 14 15:43:23 2026 A0: 1
  12. Thu May 14 15:43:23 2026 A1: 1
  13. Thu May 14 15:43:23 2026 A2: 1
  14. Thu May 14 15:43:23 2026 A3: 1
  15. Thu May 14 15:43:23 2026 A4: 1
  16. Thu May 14 15:43:23 2026 A5: 1
  17. Thu May 14 15:43:23 2026 A6: 1
  18. Thu May 14 15:43:23 2026 skew 1.36, size 3.398e-12, alpha 2.428, combined = 2.896e-13 rroots = 0
  19. Thu May 14 15:43:23 2026
  20. Thu May 14 15:43:23 2026 commencing relation filtering
  21. Thu May 14 15:43:23 2026 setting 3 target densities:Thu May 14 15:43:23 2026 80Thu May 14 15:43:23 2026 100Thu May 14 15:43:23 2026 120Thu May 14 15:43:23 2026
  22. Thu May 14 15:43:23 2026 estimated available RAM is 78540.1 MB
  23. Thu May 14 15:43:23 2026 commencing duplicate removal, pass 1
  24. Thu May 14 15:43:51 2026 error -1 reading relation 43504767
  25. Thu May 14 15:43:52 2026 error -1 reading relation 45490882
  26. Thu May 14 15:44:02 2026 error -1 reading relation 61504902
  27. Thu May 14 15:44:05 2026 error -1 reading relation 65868173
  28. Thu May 14 15:44:06 2026 error -1 reading relation 69194188
  29. Thu May 14 15:44:27 2026 error -1 reading relation 99973896
  30. Thu May 14 15:44:30 2026 error -1 reading relation 103619158
  31. Thu May 14 15:45:21 2026 error -1 reading relation 181850627
  32. Thu May 14 15:45:27 2026 error -1 reading relation 188964515
  33. Thu May 14 15:45:31 2026 error -1 reading relation 195700438
  34. Thu May 14 15:45:40 2026 error -1 reading relation 209878967
  35. Thu May 14 15:45:40 2026 error -1 reading relation 210011885
  36. Thu May 14 15:45:44 2026 error -1 reading relation 216465121
  37. Thu May 14 15:45:48 2026 error -1 reading relation 220983718
  38. Thu May 14 15:46:05 2026 skipped 10 relations with b > 2^32
  39. Thu May 14 15:46:05 2026 skipped 4 relations with composite factors
  40. Thu May 14 15:46:05 2026 skipped 208 malformed relations
  41. Thu May 14 15:46:05 2026 found 74438361 hash collisions in 246918019 relations
  42. Thu May 14 15:46:08 2026 added 2438534 free relations
  43. Thu May 14 15:46:08 2026 commencing duplicate removal, pass 2
  44. Thu May 14 15:47:31 2026 found 97937259 duplicates and 151419294 unique relations
  45. Thu May 14 15:47:31 2026 memory use: 1449.5 MB
  46. Thu May 14 15:47:31 2026 reading ideals above 720000
  47. Thu May 14 15:47:31 2026 commencing singleton removal, initial pass
  48. Thu May 14 15:51:50 2026 memory use: 3012.0 MB
  49. Thu May 14 15:51:50 2026 reading all ideals from disk
  50. Thu May 14 15:51:53 2026 memory use: 7045.4 MB
  51. Thu May 14 15:52:00 2026 keeping 159614233 ideals with weight <= 200, target excess is 780849
  52. Thu May 14 15:52:09 2026 commencing in-memory singleton removal
  53. Thu May 14 15:52:10 2026 begin with 151419294 relations and 159614233 unique ideals
  54. Thu May 14 15:52:22 2026 reduce to 71236028 relations and 68019295 ideals in 20 passes
  55. Thu May 14 15:52:22 2026 max relations containing the same ideal: 128
  56. Thu May 14 15:52:38 2026 removing 4534034 relations and 4134034 ideals in 400000 cliques
  57. Thu May 14 15:52:39 2026 commencing in-memory singleton removal
  58. Thu May 14 15:52:39 2026 begin with 66701994 relations and 68019295 unique ideals
  59. Thu May 14 15:52:43 2026 reduce to 66430357 relations and 63611268 ideals in 10 passes
  60. Thu May 14 15:52:43 2026 max relations containing the same ideal: 124
  61. Thu May 14 15:52:58 2026 removing 3355562 relations and 2955562 ideals in 400000 cliques
  62. Thu May 14 15:52:59 2026 commencing in-memory singleton removal
  63. Thu May 14 15:53:00 2026 begin with 63074795 relations and 63611268 unique ideals
  64. Thu May 14 15:53:03 2026 reduce to 62908937 relations and 60488620 ideals in 10 passes
  65. Thu May 14 15:53:03 2026 max relations containing the same ideal: 121
  66. Thu May 14 15:53:16 2026 removing 2988781 relations and 2588781 ideals in 400000 cliques
  67. Thu May 14 15:53:17 2026 commencing in-memory singleton removal
  68. Thu May 14 15:53:18 2026 begin with 59920156 relations and 60488620 unique ideals
  69. Thu May 14 15:53:21 2026 reduce to 59780081 relations and 57758745 ideals in 10 passes
  70. Thu May 14 15:53:21 2026 max relations containing the same ideal: 116
  71. Thu May 14 15:53:35 2026 removing 2796955 relations and 2396955 ideals in 400000 cliques
  72. Thu May 14 15:53:36 2026 commencing in-memory singleton removal
  73. Thu May 14 15:53:36 2026 begin with 56983126 relations and 57758745 unique ideals
  74. Thu May 14 15:53:39 2026 reduce to 56851499 relations and 55229254 ideals in 9 passes
  75. Thu May 14 15:53:39 2026 max relations containing the same ideal: 109
  76. Thu May 14 15:53:51 2026 removing 2676714 relations and 2276714 ideals in 400000 cliques
  77. Thu May 14 15:53:52 2026 commencing in-memory singleton removal
  78. Thu May 14 15:53:52 2026 begin with 54174785 relations and 55229254 unique ideals
  79. Thu May 14 15:53:55 2026 reduce to 54048107 relations and 52824950 ideals in 11 passes
  80. Thu May 14 15:53:55 2026 max relations containing the same ideal: 104
  81. Thu May 14 15:54:08 2026 removing 2142575 relations and 1825203 ideals in 317372 cliques
  82. Thu May 14 15:54:09 2026 commencing in-memory singleton removal
  83. Thu May 14 15:54:09 2026 begin with 51905532 relations and 52824950 unique ideals
  84. Thu May 14 15:54:11 2026 reduce to 51823012 relations and 50916707 ideals in 9 passes
  85. Thu May 14 15:54:11 2026 max relations containing the same ideal: 100
  86. Thu May 14 15:54:23 2026 trying target density 80
  87. Thu May 14 15:54:27 2026 relations with 0 large ideals: 59065
  88. Thu May 14 15:54:27 2026 relations with 1 large ideals: 16427
  89. Thu May 14 15:54:27 2026 relations with 2 large ideals: 213812
  90. Thu May 14 15:54:27 2026 relations with 3 large ideals: 1374500
  91. Thu May 14 15:54:27 2026 relations with 4 large ideals: 4901176
  92. Thu May 14 15:54:27 2026 relations with 5 large ideals: 10509198
  93. Thu May 14 15:54:27 2026 relations with 6 large ideals: 13935210
  94. Thu May 14 15:54:27 2026 relations with 7+ large ideals: 20813624
  95. Thu May 14 15:54:27 2026 commencing 2-way merge
  96. Thu May 14 15:54:48 2026 reduce to 31428304 relation sets and 30522000 unique ideals
  97. Thu May 14 15:54:48 2026 ignored 1 oversize relation sets
  98. Thu May 14 15:54:48 2026 commencing full merge
  99. Thu May 14 16:00:16 2026 memory use: 3649.0 MB
  100. Thu May 14 16:00:18 2026 found 15556670 cycles, need 15452200
  101. Thu May 14 16:00:21 2026 weight of 15452200 cycles is about 1236391146 (80.01/cycle)
  102. Thu May 14 16:00:21 2026 distribution of cycle lengths:
  103. Thu May 14 16:00:21 2026 1 relations: 2042876
  104. Thu May 14 16:00:21 2026 2 relations: 1785515
  105. Thu May 14 16:00:21 2026 3 relations: 1658080
  106. Thu May 14 16:00:21 2026 4 relations: 1474792
  107. Thu May 14 16:00:21 2026 5 relations: 1321372
  108. Thu May 14 16:00:21 2026 6 relations: 1129574
  109. Thu May 14 16:00:21 2026 7 relations: 1002772
  110. Thu May 14 16:00:21 2026 8 relations: 868933
  111. Thu May 14 16:00:21 2026 9 relations: 745958
  112. Thu May 14 16:00:21 2026 10+ relations: 3422328
  113. Thu May 14 16:00:21 2026 heaviest cycle: 26 relations
  114. Thu May 14 16:00:23 2026 commencing cycle optimization
  115. Thu May 14 16:00:42 2026 start with 96360347 relations
  116. Thu May 14 16:02:19 2026 pruned 2174624 relations
  117. Thu May 14 16:02:20 2026 memory use: 3089.7 MB
  118. Thu May 14 16:02:20 2026 distribution of cycle lengths:
  119. Thu May 14 16:02:20 2026 1 relations: 2042876
  120. Thu May 14 16:02:20 2026 2 relations: 1818299
  121. Thu May 14 16:02:20 2026 3 relations: 1708692
  122. Thu May 14 16:02:20 2026 4 relations: 1506052
  123. Thu May 14 16:02:20 2026 5 relations: 1349485
  124. Thu May 14 16:02:20 2026 6 relations: 1146010
  125. Thu May 14 16:02:20 2026 7 relations: 1012618
  126. Thu May 14 16:02:20 2026 8 relations: 870894
  127. Thu May 14 16:02:20 2026 9 relations: 743935
  128. Thu May 14 16:02:20 2026 10+ relations: 3253339
  129. Thu May 14 16:02:20 2026 heaviest cycle: 26 relations
  130. Thu May 14 16:02:37 2026 trying target density 100
  131. Thu May 14 16:02:41 2026 relations with 0 large ideals: 59065
  132. Thu May 14 16:02:41 2026 relations with 1 large ideals: 16427
  133. Thu May 14 16:02:41 2026 relations with 2 large ideals: 213812
  134. Thu May 14 16:02:41 2026 relations with 3 large ideals: 1374500
  135. Thu May 14 16:02:41 2026 relations with 4 large ideals: 4901176
  136. Thu May 14 16:02:41 2026 relations with 5 large ideals: 10509198
  137. Thu May 14 16:02:41 2026 relations with 6 large ideals: 13935210
  138. Thu May 14 16:02:41 2026 relations with 7+ large ideals: 20813624
  139. Thu May 14 16:02:41 2026 commencing 2-way merge
  140. Thu May 14 16:03:02 2026 reduce to 31428304 relation sets and 30522000 unique ideals
  141. Thu May 14 16:03:02 2026 ignored 1 oversize relation sets
  142. Thu May 14 16:03:02 2026 commencing full merge
  143. Thu May 14 16:10:23 2026 memory use: 3711.5 MB
  144. Thu May 14 16:10:25 2026 found 14154115 cycles, need 14152200
  145. Thu May 14 16:10:28 2026 weight of 14152200 cycles is about 1415543075 (100.02/cycle)
  146. Thu May 14 16:10:28 2026 distribution of cycle lengths:
  147. Thu May 14 16:10:28 2026 1 relations: 1515049
  148. Thu May 14 16:10:28 2026 2 relations: 1316566
  149. Thu May 14 16:10:28 2026 3 relations: 1251602
  150. Thu May 14 16:10:28 2026 4 relations: 1135321
  151. Thu May 14 16:10:28 2026 5 relations: 1057118
  152. Thu May 14 16:10:28 2026 6 relations: 959051
  153. Thu May 14 16:10:28 2026 7 relations: 868737
  154. Thu May 14 16:10:28 2026 8 relations: 768535
  155. Thu May 14 16:10:28 2026 9 relations: 691717
  156. Thu May 14 16:10:28 2026 10+ relations: 4588504
  157. Thu May 14 16:10:28 2026 heaviest cycle: 28 relations
  158. Thu May 14 16:10:29 2026 commencing cycle optimization
  159. Thu May 14 16:10:51 2026 start with 110758290 relations
  160. Thu May 14 16:13:20 2026 pruned 3304065 relations
  161. Thu May 14 16:13:20 2026 memory use: 3238.5 MB
  162. Thu May 14 16:13:20 2026 distribution of cycle lengths:
  163. Thu May 14 16:13:20 2026 1 relations: 1515049
  164. Thu May 14 16:13:20 2026 2 relations: 1343052
  165. Thu May 14 16:13:20 2026 3 relations: 1294206
  166. Thu May 14 16:13:20 2026 4 relations: 1167192
  167. Thu May 14 16:13:20 2026 5 relations: 1089226
  168. Thu May 14 16:13:20 2026 6 relations: 981946
  169. Thu May 14 16:13:20 2026 7 relations: 887720
  170. Thu May 14 16:13:20 2026 8 relations: 781312
  171. Thu May 14 16:13:20 2026 9 relations: 701553
  172. Thu May 14 16:13:20 2026 10+ relations: 4390944
  173. Thu May 14 16:13:20 2026 heaviest cycle: 28 relations
  174. Thu May 14 16:13:38 2026 trying target density 120
  175. Thu May 14 16:13:41 2026 relations with 0 large ideals: 59065
  176. Thu May 14 16:13:41 2026 relations with 1 large ideals: 16427
  177. Thu May 14 16:13:41 2026 relations with 2 large ideals: 213812
  178. Thu May 14 16:13:41 2026 relations with 3 large ideals: 1374500
  179. Thu May 14 16:13:41 2026 relations with 4 large ideals: 4901176
  180. Thu May 14 16:13:41 2026 relations with 5 large ideals: 10509198
  181. Thu May 14 16:13:41 2026 relations with 6 large ideals: 13935210
  182. Thu May 14 16:13:41 2026 relations with 7+ large ideals: 20813624
  183. Thu May 14 16:13:41 2026 commencing 2-way merge
  184. Thu May 14 16:14:00 2026 reduce to 31428304 relation sets and 30522000 unique ideals
  185. Thu May 14 16:14:00 2026 ignored 1 oversize relation sets
  186. Thu May 14 16:14:00 2026 commencing full merge
  187. Thu May 14 16:28:19 2026 memory use: 1445.6 MB
  188. Thu May 14 16:28:19 2026 found 817919 cycles, need 6729049
  189. Thu May 14 16:28:19 2026 too few cycles, matrix probably cannot build
  190. Thu May 14 16:28:20 2026 RelProcTime: 2697
  191. Thu May 14 16:28:20 2026
  192. Thu May 14 16:28:20 2026 commencing linear algebra
  193. Thu May 14 16:28:20 2026 using VBITS=256
  194. Thu May 14 16:28:20 2026 building matrices for all densities
  195. Thu May 14 16:28:20 2026 found 2 density files
  196. Thu May 14 16:28:20 2026 building matrix for density 80
  197. Thu May 14 16:28:21 2026 read 15452200 cycles
  198. Thu May 14 16:28:36 2026 cycles contain 50985880 unique relations
  199. Thu May 14 16:28:57 2026 read 50985880 relations
  200. Thu May 14 16:29:05 2026 using 20 quadratic characters above 4294917295
  201. Thu May 14 16:29:16 2026 building initial matrix
  202. Thu May 14 16:33:44 2026 memory use: 6122.9 MB
  203. Thu May 14 16:33:49 2026 read 15452200 cycles
  204. Thu May 14 16:33:50 2026 matrix is 15452020 x 15452200 (5211.2 MB) with weight 1488211743 (96.31/col)
  205. Thu May 14 16:33:50 2026 sparse part has weight 1196107824 (77.41/col)
  206. Thu May 14 16:35:18 2026 filtering completed in 2 passes
  207. Thu May 14 16:35:19 2026 matrix is 15435855 x 15436021 (5210.0 MB) with weight 1487770801 (96.38/col)
  208. Thu May 14 16:35:19 2026 sparse part has weight 1195974092 (77.48/col)
  209. Thu May 14 16:35:39 2026 building matrix for density 100
  210. Thu May 14 16:35:40 2026 read 14152200 cycles
  211. Thu May 14 16:35:55 2026 cycles contain 50992013 unique relations
  212. Thu May 14 16:36:15 2026 read 50992013 relations
  213. Thu May 14 16:36:22 2026 using 20 quadratic characters above 4294917295
  214. Thu May 14 16:36:32 2026 building initial matrix
  215. Thu May 14 16:41:37 2026 memory use: 6134.6 MB
  216. Thu May 14 16:41:42 2026 read 14152200 cycles
  217. Thu May 14 16:41:43 2026 matrix is 14152023 x 14152200 (5741.3 MB) with weight 1631404715 (115.28/col)
  218. Thu May 14 16:41:43 2026 sparse part has weight 1349379798 (95.35/col)
  219. Thu May 14 16:42:59 2026 filtering completed in 2 passes
  220. Thu May 14 16:43:01 2026 matrix is 14150938 x 14151102 (5741.2 MB) with weight 1631370962 (115.28/col)
  221. Thu May 14 16:43:01 2026 sparse part has weight 1349370144 (95.35/col)
  222. Thu May 14 16:43:17 2026 BLanczosTime: 897
  223. Thu May 14 16:43:17 2026 elapsed time 00:59:54
  224. Thu May 14 23:52:38 2026
  225. Thu May 14 23:52:38 2026
  226. Thu May 14 23:52:38 2026 Msieve v. 1.54 (SVN unknown)
  227. Thu May 14 23:52:38 2026 random seeds: dcafb44f dc6d799b
  228. Thu May 14 23:52:38 2026 factoring 855371720505851403184744765057626512422186268833412926647444117498623979221367215263161087069642860664898007846228956383831636254205330411334109019456679623841722330964936863080773324149623556018549375761359883210119015825054007849749080199 (240 digits)
  229. Thu May 14 23:52:38 2026 no P-1/P+1/ECM available, skipping
  230. Thu May 14 23:52:38 2026 commencing number field sieve (240-digit input)
  231. Thu May 14 23:52:38 2026 R0: 141926026370668085609056630575488383791043
  232. Thu May 14 23:52:38 2026 R1: -1
  233. Thu May 14 23:52:38 2026 A0: 1
  234. Thu May 14 23:52:38 2026 A1: 1
  235. Thu May 14 23:52:38 2026 A2: 1
  236. Thu May 14 23:52:38 2026 A3: 1
  237. Thu May 14 23:52:38 2026 A4: 1
  238. Thu May 14 23:52:38 2026 A5: 1
  239. Thu May 14 23:52:38 2026 A6: 1
  240. Thu May 14 23:52:38 2026 skew 1.36, size 3.398e-12, alpha 2.428, combined = 2.896e-13 rroots = 0
  241. Thu May 14 23:52:38 2026
  242. Thu May 14 23:52:38 2026 commencing linear algebra
  243. Thu May 14 23:52:38 2026 using VBITS=64
  244. Thu May 14 23:52:38 2026 skipping matrix build
  245. Thu May 14 23:52:43 2026 matrix starts at (0, 0)
  246. Thu May 14 23:52:44 2026 matrix is 14150938 x 14151102 (5741.2 MB) with weight 1631370962 (115.28/col)
  247. Thu May 14 23:52:44 2026 sparse part has weight 1349370144 (95.35/col)
  248. Thu May 14 23:52:44 2026 saving the first 48 matrix rows for later
  249. Thu May 14 23:52:45 2026 matrix includes 64 packed rows
  250. Thu May 14 23:52:47 2026 matrix is 14150890 x 14151102 (5493.4 MB) with weight 1388250138 (98.10/col)
  251. Thu May 14 23:52:47 2026 sparse part has weight 1298546025 (91.76/col)
  252. Thu May 14 23:52:48 2026 using GPU 0 (NVIDIA GeForce RTX 5090)
  253. Thu May 14 23:52:48 2026 selected card has CUDA arch 12.0
  254. Thu May 14 23:54:32 2026 commencing Lanczos iteration
  255. Thu May 14 23:54:33 2026 memory use: 10878.8 MB
  256. Thu May 14 23:54:46 2026 checking every 80000 dimensions, checkpointing every 5360000 dimensions
  257. Thu May 14 23:54:54 2026 linear algebra at 0.2%, ETA 2h42m
  258. Fri May 15 02:40:48 2026 lanczos halted after 223777 iterations (dim = 14150890)
  259. Fri May 15 02:40:54 2026 recovered 38 nontrivial dependencies
  260. Fri May 15 02:40:54 2026 BLanczosTime: 10096
  261. Fri May 15 02:40:54 2026 elapsed time 02:48:16
  262. Fri May 15 05:46:50 2026
  263. Fri May 15 05:46:50 2026
  264. Fri May 15 05:46:50 2026 Msieve v. 1.54 (SVN unknown)
  265. Fri May 15 05:46:50 2026 random seeds: db4a0ba3 a244c853
  266. Fri May 15 05:46:50 2026 Using 14 OpenMP threads
  267. Fri May 15 05:46:50 2026 factoring 855371720505851403184744765057626512422186268833412926647444117498623979221367215263161087069642860664898007846228956383831636254205330411334109019456679623841722330964936863080773324149623556018549375761359883210119015825054007849749080199 (240 digits)
  268. Fri May 15 05:46:50 2026 no P-1/P+1/ECM available, skipping
  269. Fri May 15 05:46:50 2026 commencing number field sieve (240-digit input)
  270. Fri May 15 05:46:50 2026 R0: 141926026370668085609056630575488383791043
  271. Fri May 15 05:46:50 2026 R1: -1
  272. Fri May 15 05:46:50 2026 A0: 1
  273. Fri May 15 05:46:50 2026 A1: 1
  274. Fri May 15 05:46:50 2026 A2: 1
  275. Fri May 15 05:46:50 2026 A3: 1
  276. Fri May 15 05:46:50 2026 A4: 1
  277. Fri May 15 05:46:50 2026 A5: 1
  278. Fri May 15 05:46:50 2026 A6: 1
  279. Fri May 15 05:46:50 2026 skew 1.36, size 3.398e-12, alpha 2.428, combined = 2.896e-13 rroots = 0
  280. Fri May 15 05:46:50 2026
  281. Fri May 15 05:46:50 2026 commencing square root phase
  282. Fri May 15 05:46:50 2026 reading relations for dependency 1
  283. Fri May 15 05:48:32 2026
  284. Fri May 15 05:48:32 2026
  285. Fri May 15 05:48:32 2026 Msieve v. 1.54 (SVN unknown)
  286. Fri May 15 05:48:32 2026 random seeds: 9bf548e9 ec69f087
  287. Fri May 15 05:48:32 2026 Using 14 OpenMP threads
  288. Fri May 15 05:48:32 2026 factoring 855371720505851403184744765057626512422186268833412926647444117498623979221367215263161087069642860664898007846228956383831636254205330411334109019456679623841722330964936863080773324149623556018549375761359883210119015825054007849749080199 (240 digits)
  289. Fri May 15 05:48:32 2026 no P-1/P+1/ECM available, skipping
  290. Fri May 15 05:48:32 2026 commencing number field sieve (240-digit input)
  291. Fri May 15 05:48:32 2026 R0: 141926026370668085609056630575488383791043
  292. Fri May 15 05:48:32 2026 R1: -1
  293. Fri May 15 05:48:32 2026 A0: 1
  294. Fri May 15 05:48:32 2026 A1: 1
  295. Fri May 15 05:48:32 2026 A2: 1
  296. Fri May 15 05:48:32 2026 A3: 1
  297. Fri May 15 05:48:32 2026 A4: 1
  298. Fri May 15 05:48:32 2026 A5: 1
  299. Fri May 15 05:48:32 2026 A6: 1
  300. Fri May 15 05:48:32 2026 skew 1.36, size 3.398e-12, alpha 2.428, combined = 2.896e-13 rroots = 0
  301. Fri May 15 05:48:32 2026
  302. Fri May 15 05:48:32 2026 commencing square root phase
  303. Fri May 15 05:48:32 2026 reading relations for dependency 1
  304. Fri May 15 05:48:35 2026 read 7075664 cycles
  305. Fri May 15 05:48:46 2026 cycles contain 25495156 unique relations
  306. Fri May 15 05:51:39 2026 read 25495156 relations
  307. Fri May 15 05:52:43 2026 multiplying 25495156 relations
  308. Fri May 15 05:54:05 2026 multiply complete, coefficients have about 629.35 million bits
  309. Fri May 15 05:54:07 2026 initial square root is modulo 442879
  310. Fri May 15 05:56:52 2026 sqrtTime: 500
  311. Fri May 15 05:56:52 2026 p68 factor: 82122922691736967833176261635471965815147908132059791850992708154157
  312. Fri May 15 05:56:52 2026 p173 factor: 10415748642028263678143240012364696692749660350878970581595518690695366401041037150629955368085538781446896209482187919155073082923802567182253947373425238901568160409922307
  313. Fri May 15 05:56:52 2026 elapsed time 00:08:20
  314.  
Tags: math
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