kyleaskine

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Mar 4th, 2026
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  1. Tue Mar 3 21:20:48 2026
  2. Tue Mar 3 21:20:48 2026
  3. Tue Mar 3 21:20:48 2026 Msieve v. 1.54 (SVN unknown)
  4. Tue Mar 3 21:20:48 2026 random seeds: 0284874c 3a1c5470
  5. Tue Mar 3 21:20:48 2026 factoring 226804763222893824800744424277189550920121454245772669581710327590421457765435142925575276462965322353788281678037248700298630519291091856905933336601373066469132852070331885134956050997785981706097471 (201 digits)
  6. Tue Mar 3 21:20:49 2026 no P-1/P+1/ECM available, skipping
  7. Tue Mar 3 21:20:49 2026 commencing number field sieve (201-digit input)
  8. Tue Mar 3 21:20:49 2026 R0: 202073046351706160639046138779227599242
  9. Tue Mar 3 21:20:49 2026 R1: -14215239932963008579
  10. Tue Mar 3 21:20:49 2026 A0: -1
  11. Tue Mar 3 21:20:49 2026 A1: 3
  12. Tue Mar 3 21:20:49 2026 A2: 6
  13. Tue Mar 3 21:20:49 2026 A3: -4
  14. Tue Mar 3 21:20:49 2026 A4: -5
  15. Tue Mar 3 21:20:49 2026 A5: 1
  16. Tue Mar 3 21:20:49 2026 A6: 1
  17. Tue Mar 3 21:20:49 2026 skew 1.37, size 2.560e-11, alpha 3.126, combined = 1.245e-12 rroots = 6
  18. Tue Mar 3 21:20:49 2026
  19. Tue Mar 3 21:20:49 2026 commencing relation filtering
  20. Tue Mar 3 21:20:49 2026 setting target matrix density to 90.0
  21. Tue Mar 3 21:20:49 2026 estimated available RAM is 95911.2 MB
  22. Tue Mar 3 21:20:49 2026 commencing duplicate removal, pass 1
  23. Tue Mar 3 21:22:31 2026 error -9 reading relation 26778372
  24. Tue Mar 3 21:22:50 2026 error -5 reading relation 31522282
  25. Tue Mar 3 21:22:58 2026 error -15 reading relation 33366325
  26. Tue Mar 3 21:22:59 2026 error -9 reading relation 33519441
  27. Tue Mar 3 21:23:37 2026 error -9 reading relation 42592311
  28. Tue Mar 3 21:23:38 2026 error -9 reading relation 42862065
  29. Tue Mar 3 21:24:05 2026 error -9 reading relation 49118365
  30. Tue Mar 3 21:24:32 2026 error -15 reading relation 55604191
  31. Tue Mar 3 21:24:36 2026 error -5 reading relation 56606107
  32. Tue Mar 3 21:24:50 2026 error -5 reading relation 60091823
  33. Tue Mar 3 21:25:26 2026 error -5 reading relation 68483459
  34. Tue Mar 3 21:25:27 2026 error -9 reading relation 68765493
  35. Tue Mar 3 21:25:57 2026 error -9 reading relation 75772308
  36. Tue Mar 3 21:26:08 2026 error -9 reading relation 78479102
  37. Tue Mar 3 21:26:12 2026 error -9 reading relation 79302150
  38. Tue Mar 3 21:26:13 2026 error -15 reading relation 79706878
  39. Tue Mar 3 21:26:14 2026 error -9 reading relation 79798316
  40. Tue Mar 3 21:26:15 2026 error -9 reading relation 80181361
  41. Tue Mar 3 21:26:15 2026 error -9 reading relation 80228283
  42. Tue Mar 3 21:26:15 2026 error -5 reading relation 80283196
  43. Tue Mar 3 21:26:16 2026 error -15 reading relation 80382038
  44. Tue Mar 3 21:26:17 2026 error -9 reading relation 80592188
  45. Tue Mar 3 21:26:20 2026 error -9 reading relation 81459800
  46. Tue Mar 3 21:26:27 2026 error -15 reading relation 83238623
  47. Tue Mar 3 21:26:31 2026 error -9 reading relation 84356158
  48. Tue Mar 3 21:27:04 2026 error -9 reading relation 92907909
  49. Tue Mar 3 21:27:09 2026 error -9 reading relation 94159391
  50. Tue Mar 3 21:27:09 2026 error -15 reading relation 94179929
  51. Tue Mar 3 21:27:13 2026 error -15 reading relation 95188113
  52. Tue Mar 3 21:27:13 2026 error -15 reading relation 95229541
  53. Tue Mar 3 21:27:17 2026 error -9 reading relation 96174287
  54. Tue Mar 3 21:27:17 2026 error -1 reading relation 96224929
  55. Tue Mar 3 21:27:20 2026 error -15 reading relation 97110540
  56. Tue Mar 3 21:28:00 2026 error -1 reading relation 107766860
  57. Tue Mar 3 21:28:02 2026 error -9 reading relation 108256064
  58. Tue Mar 3 21:28:08 2026 error -1 reading relation 109988587
  59. Tue Mar 3 21:28:09 2026 error -15 reading relation 110156563
  60. Tue Mar 3 21:28:10 2026 error -1 reading relation 110341791
  61. Tue Mar 3 21:28:10 2026 error -9 reading relation 110388425
  62. Tue Mar 3 21:28:11 2026 error -1 reading relation 110647078
  63. Tue Mar 3 21:28:11 2026 error -1 reading relation 110750864
  64. Tue Mar 3 21:28:11 2026 error -9 reading relation 110855665
  65. Tue Mar 3 21:28:12 2026 error -9 reading relation 110904130
  66. Tue Mar 3 21:28:13 2026 error -9 reading relation 111220949
  67. Tue Mar 3 21:28:25 2026 error -9 reading relation 114646299
  68. Tue Mar 3 21:28:25 2026 error -1 reading relation 114646412
  69. Tue Mar 3 21:28:25 2026 error -9 reading relation 114708974
  70. Tue Mar 3 21:28:25 2026 error -9 reading relation 114709097
  71. Tue Mar 3 21:28:25 2026 error -9 reading relation 114742738
  72. Tue Mar 3 21:28:25 2026 error -9 reading relation 114742843
  73. Tue Mar 3 21:28:30 2026 error -1 reading relation 116102730
  74. Tue Mar 3 21:29:07 2026 skipped 5 relations with b > 2^32
  75. Tue Mar 3 21:29:07 2026 skipped 27 relations with composite factors
  76. Tue Mar 3 21:29:07 2026 found 23981133 hash collisions in 126072972 relations
  77. Tue Mar 3 21:29:12 2026 added 2438358 free relations
  78. Tue Mar 3 21:29:12 2026 commencing duplicate removal, pass 2
  79. Tue Mar 3 21:31:15 2026 found 22747548 duplicates and 105763782 unique relations
  80. Tue Mar 3 21:31:15 2026 memory use: 660.8 MB
  81. Tue Mar 3 21:31:16 2026 reading ideals above 720000
  82. Tue Mar 3 21:31:16 2026 commencing singleton removal, initial pass
  83. Tue Mar 3 21:40:29 2026 memory use: 3012.0 MB
  84. Tue Mar 3 21:40:29 2026 reading all ideals from disk
  85. Tue Mar 3 21:40:31 2026 memory use: 3938.2 MB
  86. Tue Mar 3 21:40:37 2026 keeping 110784894 ideals with weight <= 200, target excess is 542591
  87. Tue Mar 3 21:40:49 2026 commencing in-memory singleton removal
  88. Tue Mar 3 21:40:54 2026 begin with 105763782 relations and 110784894 unique ideals
  89. Tue Mar 3 21:42:43 2026 reduce to 46479141 relations and 42415443 ideals in 17 passes
  90. Tue Mar 3 21:42:43 2026 max relations containing the same ideal: 119
  91. Tue Mar 3 21:43:03 2026 removing 3792335 relations and 3392335 ideals in 400000 cliques
  92. Tue Mar 3 21:43:05 2026 commencing in-memory singleton removal
  93. Tue Mar 3 21:43:07 2026 begin with 42686806 relations and 42415443 unique ideals
  94. Tue Mar 3 21:43:58 2026 reduce to 42393661 relations and 38726089 ideals in 9 passes
  95. Tue Mar 3 21:43:58 2026 max relations containing the same ideal: 111
  96. Tue Mar 3 21:44:14 2026 removing 2812809 relations and 2412809 ideals in 400000 cliques
  97. Tue Mar 3 21:44:16 2026 commencing in-memory singleton removal
  98. Tue Mar 3 21:44:18 2026 begin with 39580852 relations and 38726089 unique ideals
  99. Tue Mar 3 21:45:05 2026 reduce to 39405914 relations and 36136462 ideals in 9 passes
  100. Tue Mar 3 21:45:05 2026 max relations containing the same ideal: 105
  101. Tue Mar 3 21:45:21 2026 removing 2507735 relations and 2107735 ideals in 400000 cliques
  102. Tue Mar 3 21:45:22 2026 commencing in-memory singleton removal
  103. Tue Mar 3 21:45:24 2026 begin with 36898179 relations and 36136462 unique ideals
  104. Tue Mar 3 21:46:05 2026 reduce to 36750238 relations and 33879237 ideals in 9 passes
  105. Tue Mar 3 21:46:05 2026 max relations containing the same ideal: 102
  106. Tue Mar 3 21:46:20 2026 removing 2342254 relations and 1942254 ideals in 400000 cliques
  107. Tue Mar 3 21:46:21 2026 commencing in-memory singleton removal
  108. Tue Mar 3 21:46:23 2026 begin with 34407984 relations and 33879237 unique ideals
  109. Tue Mar 3 21:46:59 2026 reduce to 34272658 relations and 31800195 ideals in 8 passes
  110. Tue Mar 3 21:46:59 2026 max relations containing the same ideal: 96
  111. Tue Mar 3 21:47:13 2026 removing 2241814 relations and 1841814 ideals in 400000 cliques
  112. Tue Mar 3 21:47:14 2026 commencing in-memory singleton removal
  113. Tue Mar 3 21:47:16 2026 begin with 32030844 relations and 31800195 unique ideals
  114. Tue Mar 3 21:47:56 2026 reduce to 31900499 relations and 29826572 ideals in 9 passes
  115. Tue Mar 3 21:47:56 2026 max relations containing the same ideal: 92
  116. Tue Mar 3 21:48:09 2026 removing 2170460 relations and 1770460 ideals in 400000 cliques
  117. Tue Mar 3 21:48:10 2026 commencing in-memory singleton removal
  118. Tue Mar 3 21:48:12 2026 begin with 29730039 relations and 29826572 unique ideals
  119. Tue Mar 3 21:48:46 2026 reduce to 29601095 relations and 27925666 ideals in 9 passes
  120. Tue Mar 3 21:48:46 2026 max relations containing the same ideal: 88
  121. Tue Mar 3 21:48:57 2026 removing 2123018 relations and 1723018 ideals in 400000 cliques
  122. Tue Mar 3 21:48:58 2026 commencing in-memory singleton removal
  123. Tue Mar 3 21:49:00 2026 begin with 27478077 relations and 27925666 unique ideals
  124. Tue Mar 3 21:49:28 2026 reduce to 27347051 relations and 26070063 ideals in 8 passes
  125. Tue Mar 3 21:49:28 2026 max relations containing the same ideal: 84
  126. Tue Mar 3 21:49:39 2026 removing 2087712 relations and 1687712 ideals in 400000 cliques
  127. Tue Mar 3 21:49:40 2026 commencing in-memory singleton removal
  128. Tue Mar 3 21:49:41 2026 begin with 25259339 relations and 26070063 unique ideals
  129. Tue Mar 3 21:50:07 2026 reduce to 25124141 relations and 24245368 ideals in 8 passes
  130. Tue Mar 3 21:50:07 2026 max relations containing the same ideal: 80
  131. Tue Mar 3 21:50:17 2026 removing 1405692 relations and 1156325 ideals in 249367 cliques
  132. Tue Mar 3 21:50:18 2026 commencing in-memory singleton removal
  133. Tue Mar 3 21:50:19 2026 begin with 23718449 relations and 24245368 unique ideals
  134. Tue Mar 3 21:50:44 2026 reduce to 23655889 relations and 23025866 ideals in 8 passes
  135. Tue Mar 3 21:50:44 2026 max relations containing the same ideal: 77
  136. Tue Mar 3 21:50:55 2026 relations with 0 large ideals: 41560
  137. Tue Mar 3 21:50:55 2026 relations with 1 large ideals: 10684
  138. Tue Mar 3 21:50:55 2026 relations with 2 large ideals: 130682
  139. Tue Mar 3 21:50:55 2026 relations with 3 large ideals: 810775
  140. Tue Mar 3 21:50:55 2026 relations with 4 large ideals: 2716906
  141. Tue Mar 3 21:50:55 2026 relations with 5 large ideals: 5339346
  142. Tue Mar 3 21:50:55 2026 relations with 6 large ideals: 6403162
  143. Tue Mar 3 21:50:55 2026 relations with 7+ large ideals: 8202774
  144. Tue Mar 3 21:50:55 2026 commencing 2-way merge
  145. Tue Mar 3 21:51:10 2026 reduce to 14227787 relation sets and 13597764 unique ideals
  146. Tue Mar 3 21:51:11 2026 commencing full merge
  147. Tue Mar 3 21:55:10 2026 memory use: 1810.6 MB
  148. Tue Mar 3 21:55:12 2026 found 6884482 cycles, need 6817964
  149. Tue Mar 3 21:55:12 2026 weight of 6817964 cycles is about 613794737 (90.03/cycle)
  150. Tue Mar 3 21:55:12 2026 distribution of cycle lengths:
  151. Tue Mar 3 21:55:12 2026 1 relations: 739272
  152. Tue Mar 3 21:55:12 2026 2 relations: 664961
  153. Tue Mar 3 21:55:12 2026 3 relations: 622378
  154. Tue Mar 3 21:55:13 2026 4 relations: 571317
  155. Tue Mar 3 21:55:13 2026 5 relations: 535813
  156. Tue Mar 3 21:55:13 2026 6 relations: 490628
  157. Tue Mar 3 21:55:13 2026 7 relations: 450698
  158. Tue Mar 3 21:55:13 2026 8 relations: 404824
  159. Tue Mar 3 21:55:13 2026 9 relations: 366365
  160. Tue Mar 3 21:55:13 2026 10+ relations: 1971708
  161. Tue Mar 3 21:55:13 2026 heaviest cycle: 27 relations
  162. Tue Mar 3 21:55:15 2026 commencing cycle optimization
  163. Tue Mar 3 21:55:25 2026 start with 48695594 relations
  164. Tue Mar 3 21:56:51 2026 pruned 1444621 relations
  165. Tue Mar 3 21:56:51 2026 memory use: 1460.2 MB
  166. Tue Mar 3 21:56:51 2026 distribution of cycle lengths:
  167. Tue Mar 3 21:56:51 2026 1 relations: 739272
  168. Tue Mar 3 21:56:51 2026 2 relations: 676695
  169. Tue Mar 3 21:56:51 2026 3 relations: 641729
  170. Tue Mar 3 21:56:51 2026 4 relations: 586428
  171. Tue Mar 3 21:56:51 2026 5 relations: 552827
  172. Tue Mar 3 21:56:51 2026 6 relations: 503324
  173. Tue Mar 3 21:56:51 2026 7 relations: 462413
  174. Tue Mar 3 21:56:51 2026 8 relations: 413135
  175. Tue Mar 3 21:56:51 2026 9 relations: 373565
  176. Tue Mar 3 21:56:51 2026 10+ relations: 1868576
  177. Tue Mar 3 21:56:51 2026 heaviest cycle: 27 relations
  178. Tue Mar 3 21:57:02 2026 RelProcTime: 2173
  179. Tue Mar 3 21:57:02 2026
  180. Tue Mar 3 21:57:02 2026 commencing linear algebra
  181. Tue Mar 3 21:57:03 2026 read 6817964 cycles
  182. Tue Mar 3 21:57:13 2026 cycles contain 23193343 unique relations
  183. Tue Mar 3 21:59:16 2026 read 23193343 relations
  184. Tue Mar 3 21:59:52 2026 using 20 quadratic characters above 4294917295
  185. Tue Mar 3 22:00:48 2026 building initial matrix
  186. Tue Mar 3 22:03:37 2026 memory use: 2764.8 MB
  187. Tue Mar 3 22:03:41 2026 read 6817964 cycles
  188. Tue Mar 3 22:03:42 2026 matrix is 6817785 x 6817964 (2497.2 MB) with weight 710681648 (104.24/col)
  189. Tue Mar 3 22:03:42 2026 sparse part has weight 586447019 (86.01/col)
  190. Tue Mar 3 22:04:38 2026 filtering completed in 2 passes
  191. Tue Mar 3 22:04:40 2026 matrix is 6815295 x 6815472 (2497.0 MB) with weight 710604723 (104.26/col)
  192. Tue Mar 3 22:04:40 2026 sparse part has weight 586416585 (86.04/col)
  193. Tue Mar 3 22:04:54 2026 matrix starts at (0, 0)
  194. Tue Mar 3 22:04:55 2026 matrix is 6815295 x 6815472 (2497.0 MB) with weight 710604723 (104.26/col)
  195. Tue Mar 3 22:04:55 2026 sparse part has weight 586416585 (86.04/col)
  196. Tue Mar 3 22:04:55 2026 saving the first 48 matrix rows for later
  197. Tue Mar 3 22:04:56 2026 matrix includes 64 packed rows
  198. Tue Mar 3 22:04:57 2026 matrix is 6815247 x 6815472 (2397.0 MB) with weight 597717031 (87.70/col)
  199. Tue Mar 3 22:04:57 2026 sparse part has weight 560216860 (82.20/col)
  200. Tue Mar 3 22:04:57 2026 using block size 8192 and superblock size 18874368 for processor cache size 196608 kB
  201. Tue Mar 3 22:05:14 2026 commencing Lanczos iteration (16 threads)
  202. Tue Mar 3 22:05:14 2026 memory use: 2330.2 MB
  203. Tue Mar 3 22:05:23 2026 linear algebra at 0.0%, ETA 11h13m
  204. Tue Mar 3 22:05:26 2026 checkpointing every 610000 dimensions
  205. Wed Mar 4 04:04:08 2026 lanczos halted after 107777 iterations (dim = 6815245)
  206. Wed Mar 4 04:04:11 2026 recovered 35 nontrivial dependencies
  207. Wed Mar 4 04:04:11 2026 BLanczosTime: 22029
  208. Wed Mar 4 04:04:11 2026
  209. Wed Mar 4 04:04:11 2026 commencing square root phase
  210. Wed Mar 4 04:04:11 2026 handling dependencies 1 to 64
  211. Wed Mar 4 04:04:11 2026 reading relations for dependency 1
  212. Wed Mar 4 04:04:12 2026 read 3407780 cycles
  213. Wed Mar 4 04:04:15 2026 cycles contain 11594930 unique relations
  214. Wed Mar 4 04:05:27 2026 read 11594930 relations
  215. Wed Mar 4 04:05:44 2026 multiplying 11594930 relations
  216. Wed Mar 4 04:08:42 2026 multiply complete, coefficients have about 279.08 million bits
  217. Wed Mar 4 04:08:42 2026 initial square root is modulo 101797
  218. Wed Mar 4 04:11:40 2026 found factor: 25133626548521548623813686388795353583769253011377109081
  219. Wed Mar 4 04:11:40 2026 reading relations for dependency 2
  220. Wed Mar 4 04:11:41 2026 read 3407434 cycles
  221. Wed Mar 4 04:11:43 2026 cycles contain 11590760 unique relations
  222. Wed Mar 4 04:12:54 2026 read 11590760 relations
  223. Wed Mar 4 04:13:11 2026 multiplying 11590760 relations
  224. Wed Mar 4 04:16:08 2026 multiply complete, coefficients have about 278.98 million bits
  225. Wed Mar 4 04:16:08 2026 initial square root is modulo 101363
  226. Wed Mar 4 04:19:06 2026 GCD is N, no factor found
  227. Wed Mar 4 04:19:06 2026 reading relations for dependency 3
  228. Wed Mar 4 04:19:07 2026 read 3408906 cycles
  229. Wed Mar 4 04:19:09 2026 cycles contain 11601392 unique relations
  230. Wed Mar 4 04:20:20 2026 read 11601392 relations
  231. Wed Mar 4 04:20:37 2026 multiplying 11601392 relations
  232. Wed Mar 4 04:23:33 2026 multiply complete, coefficients have about 279.24 million bits
  233. Wed Mar 4 04:23:33 2026 initial square root is modulo 102481
  234. Wed Mar 4 04:26:31 2026 sqrtTime: 1340
  235. Wed Mar 4 04:26:31 2026 p56 factor: 25133626548521548623813686388795353583769253011377109081
  236. Wed Mar 4 04:26:31 2026 p69 factor: 308740705038871366653403153928120331472934199403899030153410123948603
  237. Wed Mar 4 04:26:31 2026 p77 factor: 29228270755841330316120009297166535262161892944520666749053333729805083822997
  238. Wed Mar 4 04:26:31 2026 elapsed time 07:05:43
  239.  
Tags: math
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