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138__569_17m1

gchilders
Sep 9th, 2026
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  1. Tue Sep 8 23:36:27 2026
  2. Tue Sep 8 23:36:27 2026
  3. Tue Sep 8 23:36:27 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Sep 8 23:36:27 2026 random seeds: a35025ab 2d2f6bf4
  5. Tue Sep 8 23:36:27 2026 MPI process 0 of 1
  6. Tue Sep 8 23:36:27 2026 Using 46 OpenMP threads
  7. Tue Sep 8 23:36:27 2026 factoring 4292922064367612487083738348847430745441851926407387517948730054244842243317602764238163858897964527445158273721947362088168279527618265984542050286747438639862249808523729627496011151461 (187 digits)
  8. Tue Sep 8 23:36:28 2026 no P-1/P+1/ECM available, skipping
  9. Tue Sep 8 23:36:28 2026 commencing number field sieve (187-digit input)
  10. Tue Sep 8 23:36:28 2026 R0: 2657036197955463622225790786647858009
  11. Tue Sep 8 23:36:28 2026 R1: -1
  12. Tue Sep 8 23:36:28 2026 A0: -1385051186569
  13. Tue Sep 8 23:36:28 2026 A1: 0
  14. Tue Sep 8 23:36:28 2026 A2: 0
  15. Tue Sep 8 23:36:28 2026 A3: 0
  16. Tue Sep 8 23:36:28 2026 A4: 0
  17. Tue Sep 8 23:36:28 2026 A5: 0
  18. Tue Sep 8 23:36:28 2026 A6: 1
  19. Tue Sep 8 23:36:28 2026 skew 133.23, size 1.113e-11, alpha -2.062, combined = 7.085e-13 rroots = 2
  20. Tue Sep 8 23:36:28 2026
  21. Tue Sep 8 23:36:28 2026 commencing relation filtering
  22. Tue Sep 8 23:36:28 2026 setting target matrix density to 110.0
  23. Tue Sep 8 23:36:28 2026 estimated available RAM is 192068.7 MB
  24. Tue Sep 8 23:36:28 2026 commencing duplicate removal, pass 1
  25. Tue Sep 8 23:37:53 2026 skipped 1 relations with composite factors
  26. Tue Sep 8 23:37:53 2026 skipped 362 malformed relations
  27. Tue Sep 8 23:37:53 2026 found 17995428 hash collisions in 131409419 relations
  28. Tue Sep 8 23:38:08 2026 added 1218196 free relations
  29. Tue Sep 8 23:38:08 2026 commencing duplicate removal, pass 2
  30. Tue Sep 8 23:38:51 2026 found 16745840 duplicates and 115881775 unique relations
  31. Tue Sep 8 23:38:51 2026 memory use: 992.0 MB
  32. Tue Sep 8 23:38:51 2026 reading ideals above 720000
  33. Tue Sep 8 23:38:51 2026 commencing singleton removal, initial pass
  34. Tue Sep 8 23:41:37 2026 LP64 contains 115881775 relations and 116783454 unique large ideals
  35. Tue Sep 8 23:41:37 2026 memory use: 4288.0 MB
  36. Tue Sep 8 23:41:37 2026 preparing 64-bit LP file for common filtering
  37. Tue Sep 8 23:41:37 2026 start with 115881775 relations and 116783454 ideals
  38. Tue Sep 8 23:41:56 2026 compacted LP dataset has 115881775 relations and 116783454 large ideals
  39. Tue Sep 8 23:41:56 2026 reading all ideals from disk
  40. Tue Sep 8 23:41:59 2026 memory use: 5318.4 MB
  41. Tue Sep 8 23:42:01 2026 keeping 116315158 ideals with weight <= 200, target excess is 584192
  42. Tue Sep 8 23:42:12 2026 commencing in-memory singleton removal
  43. Tue Sep 8 23:42:13 2026 begin with 115881775 relations and 116315158 unique ideals
  44. Tue Sep 8 23:42:18 2026 reduce to 59754165 relations and 53027011 ideals in 18 passes
  45. Tue Sep 8 23:42:18 2026 max relations containing the same ideal: 138
  46. Tue Sep 8 23:42:34 2026 removing 6632161 relations and 5632161 ideals in 1000000 cliques
  47. Tue Sep 8 23:42:35 2026 commencing in-memory singleton removal
  48. Tue Sep 8 23:42:36 2026 begin with 53122004 relations and 53027011 unique ideals
  49. Tue Sep 8 23:42:38 2026 reduce to 52525936 relations and 46785805 ideals in 11 passes
  50. Tue Sep 8 23:42:38 2026 max relations containing the same ideal: 127
  51. Tue Sep 8 23:42:53 2026 removing 5075685 relations and 4075685 ideals in 1000000 cliques
  52. Tue Sep 8 23:42:53 2026 commencing in-memory singleton removal
  53. Tue Sep 8 23:42:54 2026 begin with 47450251 relations and 46785805 unique ideals
  54. Tue Sep 8 23:42:55 2026 reduce to 47051357 relations and 42303414 ideals in 8 passes
  55. Tue Sep 8 23:42:55 2026 max relations containing the same ideal: 115
  56. Tue Sep 8 23:43:09 2026 removing 4604437 relations and 3604437 ideals in 1000000 cliques
  57. Tue Sep 8 23:43:09 2026 commencing in-memory singleton removal
  58. Tue Sep 8 23:43:10 2026 begin with 42446920 relations and 42303414 unique ideals
  59. Tue Sep 8 23:43:11 2026 reduce to 42085656 relations and 38330330 ideals in 8 passes
  60. Tue Sep 8 23:43:11 2026 max relations containing the same ideal: 107
  61. Tue Sep 8 23:43:23 2026 removing 4365065 relations and 3365065 ideals in 1000000 cliques
  62. Tue Sep 8 23:43:24 2026 commencing in-memory singleton removal
  63. Tue Sep 8 23:43:24 2026 begin with 37720591 relations and 38330330 unique ideals
  64. Tue Sep 8 23:43:25 2026 reduce to 37365552 relations and 34602404 ideals in 8 passes
  65. Tue Sep 8 23:43:25 2026 max relations containing the same ideal: 99
  66. Tue Sep 8 23:43:36 2026 removing 4216153 relations and 3216153 ideals in 1000000 cliques
  67. Tue Sep 8 23:43:37 2026 commencing in-memory singleton removal
  68. Tue Sep 8 23:43:37 2026 begin with 33149399 relations and 34602404 unique ideals
  69. Tue Sep 8 23:43:38 2026 reduce to 32778424 relations and 31006277 ideals in 8 passes
  70. Tue Sep 8 23:43:38 2026 max relations containing the same ideal: 89
  71. Tue Sep 8 23:43:48 2026 removing 4123389 relations and 3123389 ideals in 1000000 cliques
  72. Tue Sep 8 23:43:49 2026 commencing in-memory singleton removal
  73. Tue Sep 8 23:43:49 2026 begin with 28655035 relations and 31006277 unique ideals
  74. Tue Sep 8 23:43:50 2026 reduce to 28257097 relations and 27474407 ideals in 8 passes
  75. Tue Sep 8 23:43:50 2026 max relations containing the same ideal: 82
  76. Tue Sep 8 23:43:58 2026 removing 662744 relations and 557717 ideals in 105027 cliques
  77. Tue Sep 8 23:43:59 2026 commencing in-memory singleton removal
  78. Tue Sep 8 23:43:59 2026 begin with 27594353 relations and 27474407 unique ideals
  79. Tue Sep 8 23:44:00 2026 reduce to 27584226 relations and 26906523 ideals in 6 passes
  80. Tue Sep 8 23:44:00 2026 max relations containing the same ideal: 80
  81. Tue Sep 8 23:44:00 2026 relations with 0 large ideals: 22033
  82. Tue Sep 8 23:44:00 2026 relations with 1 large ideals: 8000
  83. Tue Sep 8 23:44:00 2026 relations with 2 large ideals: 115274
  84. Tue Sep 8 23:44:00 2026 relations with 3 large ideals: 757415
  85. Tue Sep 8 23:44:00 2026 relations with 4 large ideals: 2693767
  86. Tue Sep 8 23:44:00 2026 relations with 5 large ideals: 5697363
  87. Tue Sep 8 23:44:00 2026 relations with 6 large ideals: 7466272
  88. Tue Sep 8 23:44:00 2026 relations with 7+ large ideals: 10824102
  89. Tue Sep 8 23:44:00 2026 commencing 2-way merge
  90. Tue Sep 8 23:44:11 2026 reduce to 17505695 relation sets and 16827992 unique ideals
  91. Tue Sep 8 23:44:11 2026 commencing full merge
  92. Tue Sep 8 23:49:24 2026 memory use: 2421.8 MB
  93. Tue Sep 8 23:49:24 2026 found 8052587 cycles, need 8018192
  94. Tue Sep 8 23:49:26 2026 weight of 8018192 cycles is about 882268054 (110.03/cycle)
  95. Tue Sep 8 23:49:26 2026 distribution of cycle lengths:
  96. Tue Sep 8 23:49:26 2026 1 relations: 471901
  97. Tue Sep 8 23:49:26 2026 2 relations: 597030
  98. Tue Sep 8 23:49:26 2026 3 relations: 636466
  99. Tue Sep 8 23:49:26 2026 4 relations: 622119
  100. Tue Sep 8 23:49:26 2026 5 relations: 604205
  101. Tue Sep 8 23:49:26 2026 6 relations: 569759
  102. Tue Sep 8 23:49:26 2026 7 relations: 539841
  103. Tue Sep 8 23:49:26 2026 8 relations: 503456
  104. Tue Sep 8 23:49:26 2026 9 relations: 468913
  105. Tue Sep 8 23:49:26 2026 10+ relations: 3004502
  106. Tue Sep 8 23:49:26 2026 heaviest cycle: 28 relations
  107. Tue Sep 8 23:49:27 2026 commencing cycle optimization
  108. Tue Sep 8 23:49:38 2026 start with 68306429 relations
  109. Tue Sep 8 23:51:40 2026 pruned 2739928 relations
  110. Tue Sep 8 23:51:40 2026 memory use: 1928.0 MB
  111. Tue Sep 8 23:51:40 2026 distribution of cycle lengths:
  112. Tue Sep 8 23:51:40 2026 1 relations: 471901
  113. Tue Sep 8 23:51:40 2026 2 relations: 610478
  114. Tue Sep 8 23:51:40 2026 3 relations: 661966
  115. Tue Sep 8 23:51:40 2026 4 relations: 645621
  116. Tue Sep 8 23:51:40 2026 5 relations: 629831
  117. Tue Sep 8 23:51:40 2026 6 relations: 591676
  118. Tue Sep 8 23:51:40 2026 7 relations: 561077
  119. Tue Sep 8 23:51:40 2026 8 relations: 520784
  120. Tue Sep 8 23:51:40 2026 9 relations: 483690
  121. Tue Sep 8 23:51:40 2026 10+ relations: 2841168
  122. Tue Sep 8 23:51:40 2026 heaviest cycle: 28 relations
  123. Tue Sep 8 23:51:43 2026 RelProcTime: 915
  124. Tue Sep 8 23:51:43 2026 elapsed time 00:15:16
  125. Tue Sep 8 23:51:43 2026
  126. Tue Sep 8 23:51:43 2026
  127. Tue Sep 8 23:51:43 2026 Msieve v. 1.54 (SVN Unversioned directory)
  128. Tue Sep 8 23:51:43 2026 random seeds: 29212575 2ed570a3
  129. Tue Sep 8 23:51:43 2026 MPI process 0 of 1
  130. Tue Sep 8 23:51:43 2026 Using 46 OpenMP threads
  131. Tue Sep 8 23:51:43 2026 factoring 4292922064367612487083738348847430745441851926407387517948730054244842243317602764238163858897964527445158273721947362088168279527618265984542050286747438639862249808523729627496011151461 (187 digits)
  132. Tue Sep 8 23:51:43 2026 no P-1/P+1/ECM available, skipping
  133. Tue Sep 8 23:51:43 2026 commencing number field sieve (187-digit input)
  134. Tue Sep 8 23:51:43 2026 R0: 2657036197955463622225790786647858009
  135. Tue Sep 8 23:51:43 2026 R1: -1
  136. Tue Sep 8 23:51:43 2026 A0: -1385051186569
  137. Tue Sep 8 23:51:43 2026 A1: 0
  138. Tue Sep 8 23:51:43 2026 A2: 0
  139. Tue Sep 8 23:51:43 2026 A3: 0
  140. Tue Sep 8 23:51:43 2026 A4: 0
  141. Tue Sep 8 23:51:43 2026 A5: 0
  142. Tue Sep 8 23:51:43 2026 A6: 1
  143. Tue Sep 8 23:51:43 2026 skew 133.23, size 1.113e-11, alpha -2.062, combined = 7.085e-13 rroots = 2
  144. Tue Sep 8 23:51:43 2026
  145. Tue Sep 8 23:51:43 2026 commencing linear algebra
  146. Tue Sep 8 23:51:43 2026 using VBITS=128
  147. Tue Sep 8 23:51:43 2026 stopping after matrix build
  148. Tue Sep 8 23:51:43 2026 initialized process (0,0) of 1 x 1 grid
  149. Tue Sep 8 23:51:45 2026 read 8018192 cycles
  150. Tue Sep 8 23:52:02 2026 cycles contain 27181251 unique relations
  151. Tue Sep 8 23:52:16 2026 read 27181251 relations
  152. Tue Sep 8 23:52:17 2026 using 20 quadratic characters above 4294917295
  153. Tue Sep 8 23:52:21 2026 building initial matrix
  154. Tue Sep 8 23:57:36 2026 memory use: 3534.4 MB
  155. Tue Sep 8 23:57:44 2026 read 8018192 cycles
  156. Tue Sep 8 23:57:45 2026 matrix is 8018015 x 8018192 (3501.2 MB) with weight 1044061688 (130.21/col)
  157. Tue Sep 8 23:57:45 2026 sparse part has weight 829607561 (103.47/col)
  158. Tue Sep 8 23:58:58 2026 filtering completed in 2 passes
  159. Tue Sep 8 23:58:59 2026 matrix is 8017703 x 8017880 (3501.1 MB) with weight 1044048929 (130.22/col)
  160. Tue Sep 8 23:58:59 2026 sparse part has weight 829603963 (103.47/col)
  161. Tue Sep 8 23:59:18 2026 BLanczosTime: 455
  162. Tue Sep 8 23:59:18 2026 elapsed time 00:07:35
  163. Tue Sep 8 23:59:29 2026
  164. Tue Sep 8 23:59:29 2026
  165. Tue Sep 8 23:59:29 2026 Msieve v. 1.54 (SVN Unversioned directory)
  166. Tue Sep 8 23:59:29 2026 random seeds: e72a1ef7 0ee6895c
  167. Tue Sep 8 23:59:29 2026 MPI process 0 of 2
  168. Tue Sep 8 23:59:29 2026 Using 6 OpenMP threads
  169. Tue Sep 8 23:59:29 2026 factoring 4292922064367612487083738348847430745441851926407387517948730054244842243317602764238163858897964527445158273721947362088168279527618265984542050286747438639862249808523729627496011151461 (187 digits)
  170. Tue Sep 8 23:59:30 2026 no P-1/P+1/ECM available, skipping
  171. Tue Sep 8 23:59:30 2026 commencing number field sieve (187-digit input)
  172. Tue Sep 8 23:59:30 2026 R0: 2657036197955463622225790786647858009
  173. Tue Sep 8 23:59:30 2026 R1: -1
  174. Tue Sep 8 23:59:30 2026 A0: -1385051186569
  175. Tue Sep 8 23:59:30 2026 A1: 0
  176. Tue Sep 8 23:59:30 2026 A2: 0
  177. Tue Sep 8 23:59:30 2026 A3: 0
  178. Tue Sep 8 23:59:30 2026 A4: 0
  179. Tue Sep 8 23:59:30 2026 A5: 0
  180. Tue Sep 8 23:59:30 2026 A6: 1
  181. Tue Sep 8 23:59:30 2026 skew 133.23, size 1.113e-11, alpha -2.062, combined = 7.085e-13 rroots = 2
  182. Tue Sep 8 23:59:30 2026
  183. Tue Sep 8 23:59:30 2026 commencing linear algebra
  184. Tue Sep 8 23:59:30 2026 using VBITS=256
  185. Tue Sep 8 23:59:30 2026 skipping matrix build
  186. Tue Sep 8 23:59:30 2026 initialized process (0,0) of 1 x 2 grid
  187. Tue Sep 8 23:59:32 2026 matrix starts at (0, 0)
  188. Tue Sep 8 23:59:33 2026 matrix is 8017703 x 4008941 (1750.6 MB) with weight 522030016 (130.22/col)
  189. Tue Sep 8 23:59:33 2026 sparse part has weight 414802156 (103.47/col)
  190. Tue Sep 8 23:59:33 2026 saving the first 240 matrix rows for later
  191. Tue Sep 8 23:59:34 2026 matrix includes 256 packed rows
  192. Tue Sep 8 23:59:35 2026 matrix is 8017463 x 4008941 (1613.3 MB) with weight 379945134 (94.77/col)
  193. Tue Sep 8 23:59:35 2026 sparse part has weight 358768765 (89.49/col)
  194. Tue Sep 8 23:59:35 2026 using GPU 0 (NVIDIA A100-SXM4-40GB)
  195. Tue Sep 8 23:59:35 2026 selected card has CUDA arch 8.0
  196. Tue Sep 8 23:59:58 2026 commencing Lanczos iteration
  197. Tue Sep 8 23:59:59 2026 memory use: 4128.8 MB
  198. Wed Sep 9 00:00:06 2026 linear algebra at 0.4%, ETA 0h30m
  199. Wed Sep 9 00:00:16 2026 checking every 270000 dimensions, checkpointing every 16470000 dimensions
  200. Wed Sep 9 00:29:59 2026 lanczos halted after 31413 iterations (dim = 8017460)
  201. Wed Sep 9 00:30:26 2026 recovered 33 nontrivial dependencies
  202. Wed Sep 9 00:30:26 2026 BLanczosTime: 1856
  203. Wed Sep 9 00:30:26 2026 elapsed time 00:30:57
  204. Wed Sep 9 00:30:27 2026
  205. Wed Sep 9 00:30:27 2026
  206. Wed Sep 9 00:30:27 2026 Msieve v. 1.54 (SVN Unversioned directory)
  207. Wed Sep 9 00:30:27 2026 random seeds: 820192f7 ee49b4e9
  208. Wed Sep 9 00:30:27 2026 MPI process 0 of 1
  209. Wed Sep 9 00:30:27 2026 Using 32 OpenMP threads
  210. Wed Sep 9 00:30:27 2026 factoring 4292922064367612487083738348847430745441851926407387517948730054244842243317602764238163858897964527445158273721947362088168279527618265984542050286747438639862249808523729627496011151461 (187 digits)
  211. Wed Sep 9 00:30:28 2026 no P-1/P+1/ECM available, skipping
  212. Wed Sep 9 00:30:28 2026 commencing number field sieve (187-digit input)
  213. Wed Sep 9 00:30:28 2026 R0: 2657036197955463622225790786647858009
  214. Wed Sep 9 00:30:28 2026 R1: -1
  215. Wed Sep 9 00:30:28 2026 A0: -1385051186569
  216. Wed Sep 9 00:30:28 2026 A1: 0
  217. Wed Sep 9 00:30:28 2026 A2: 0
  218. Wed Sep 9 00:30:28 2026 A3: 0
  219. Wed Sep 9 00:30:28 2026 A4: 0
  220. Wed Sep 9 00:30:28 2026 A5: 0
  221. Wed Sep 9 00:30:28 2026 A6: 1
  222. Wed Sep 9 00:30:28 2026 skew 133.23, size 1.113e-11, alpha -2.062, combined = 7.085e-13 rroots = 2
  223. Wed Sep 9 00:30:28 2026
  224. Wed Sep 9 00:30:28 2026 commencing square root phase
  225. Wed Sep 9 00:30:28 2026 reading relations for dependency 1
  226. Wed Sep 9 00:30:29 2026 read 4005649 cycles
  227. Wed Sep 9 00:30:36 2026 cycles contain 13579912 unique relations
  228. Wed Sep 9 00:30:48 2026 read 13579912 relations
  229. Wed Sep 9 00:31:35 2026 multiplying 13579912 relations
  230. Wed Sep 9 00:32:18 2026 multiply complete, coefficients have about 381.10 million bits
  231. Wed Sep 9 00:32:19 2026 initial square root is modulo 6888163
  232. Wed Sep 9 00:34:31 2026 GCD is 1, no factor found
  233. Wed Sep 9 00:34:31 2026 reading relations for dependency 2
  234. Wed Sep 9 00:34:32 2026 read 4008639 cycles
  235. Wed Sep 9 00:34:39 2026 cycles contain 13587586 unique relations
  236. Wed Sep 9 00:34:50 2026 read 13587586 relations
  237. Wed Sep 9 00:35:43 2026 multiplying 13587586 relations
  238. Wed Sep 9 00:36:23 2026 multiply complete, coefficients have about 381.31 million bits
  239. Wed Sep 9 00:36:25 2026 initial square root is modulo 6949321
  240. Wed Sep 9 00:38:36 2026 GCD is N, no factor found
  241. Wed Sep 9 00:38:36 2026 reading relations for dependency 3
  242. Wed Sep 9 00:38:37 2026 read 4011447 cycles
  243. Wed Sep 9 00:38:44 2026 cycles contain 13594510 unique relations
  244. Wed Sep 9 00:38:55 2026 read 13594510 relations
  245. Wed Sep 9 00:39:48 2026 multiplying 13594510 relations
  246. Wed Sep 9 00:40:29 2026 multiply complete, coefficients have about 381.51 million bits
  247. Wed Sep 9 00:40:30 2026 initial square root is modulo 7005997
  248. Wed Sep 9 00:42:42 2026 sqrtTime: 734
  249. Wed Sep 9 00:42:42 2026 p56 factor: 26469859464428553144784451318259199231979806355787726203
  250. Wed Sep 9 00:42:42 2026 p132 factor: 162181520840208609212650027537490320505241673957560063557709573104885748572921456250362811385542271523671385800719296891644597750687
  251. Wed Sep 9 00:42:42 2026 elapsed time 00:12:15
  252.  
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