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Apr 4th, 2025
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  1. Fri Apr 4 09:46:48 2025
  2. Fri Apr 4 09:46:48 2025
  3. Fri Apr 4 09:46:48 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Apr 4 09:46:48 2025 random seeds: ca6ddca7 bdaa9e84
  5. Fri Apr 4 09:46:48 2025 MPI process 0 of 1
  6. Fri Apr 4 09:46:48 2025 Using 32 OpenMP threads
  7. Fri Apr 4 09:46:48 2025 factoring 15487617972351729826278319756972782877980634705177647410439965407598883675231699905611369463424576032540772459973333208698115050621236572582226573686144692685338903 (164 digits)
  8. Fri Apr 4 09:46:48 2025 searching for 15-digit factors
  9. Fri Apr 4 09:46:49 2025 commencing number field sieve (164-digit input)
  10. Fri Apr 4 09:46:49 2025 R0: -35075485574339234370176097886337
  11. Fri Apr 4 09:46:49 2025 R1: 105723105613666399
  12. Fri Apr 4 09:46:49 2025 A0: -28037410873665952122133120437072327486432
  13. Fri Apr 4 09:46:49 2025 A1: 8473635195169541098421967638823460
  14. Fri Apr 4 09:46:49 2025 A2: 777385376311091522622353088
  15. Fri Apr 4 09:46:49 2025 A3: -191027912235166284207
  16. Fri Apr 4 09:46:49 2025 A4: -8311724197114
  17. Fri Apr 4 09:46:49 2025 A5: 291720
  18. Fri Apr 4 09:46:49 2025 skew 12088373.57, size 6.398e-16, alpha -7.652, combined = 8.643e-13 rroots = 5
  19. Fri Apr 4 09:46:49 2025
  20. Fri Apr 4 09:46:49 2025 commencing relation filtering
  21. Fri Apr 4 09:46:49 2025 setting target matrix density to 130.0
  22. Fri Apr 4 09:46:49 2025 estimated available RAM is 257736.5 MB
  23. Fri Apr 4 09:46:49 2025 commencing duplicate removal, pass 1
  24. Fri Apr 4 09:47:14 2025 error -1 reading relation 9602399
  25. Fri Apr 4 09:47:55 2025 error -1 reading relation 28598397
  26. Fri Apr 4 09:52:09 2025 error -1 reading relation 134938905
  27. Fri Apr 4 09:52:42 2025 error -1 reading relation 148264706
  28. Fri Apr 4 09:54:06 2025 error -1 reading relation 180910097
  29. Fri Apr 4 09:56:09 2025 error -1 reading relation 240861574
  30. Fri Apr 4 09:56:23 2025 error -1 reading relation 246435079
  31. Fri Apr 4 09:56:23 2025 error -1 reading relation 246520206
  32. Fri Apr 4 09:56:29 2025 error -1 reading relation 248627212
  33. Fri Apr 4 09:56:29 2025 error -1 reading relation 248631476
  34. Fri Apr 4 09:58:08 2025 error -1 reading relation 288665053
  35. Fri Apr 4 09:58:13 2025 skipped 1 relations with composite factors
  36. Fri Apr 4 09:58:13 2025 skipped 156 malformed relations
  37. Fri Apr 4 09:58:13 2025 found 57741711 hash collisions in 290432765 relations
  38. Fri Apr 4 09:58:44 2025 added 121187 free relations
  39. Fri Apr 4 09:58:44 2025 commencing duplicate removal, pass 2
  40. Fri Apr 4 10:06:48 2025 found 61191244 duplicates and 229362708 unique relations
  41. Fri Apr 4 10:06:48 2025 memory use: 1705.5 MB
  42. Fri Apr 4 10:06:48 2025 reading ideals above 720000
  43. Fri Apr 4 10:06:49 2025 commencing singleton removal, initial pass
  44. Fri Apr 4 10:28:07 2025 memory use: 6024.0 MB
  45. Fri Apr 4 10:28:07 2025 reading all ideals from disk
  46. Fri Apr 4 10:28:11 2025 memory use: 10419.6 MB
  47. Fri Apr 4 10:28:37 2025 keeping 221927777 ideals with weight <= 200, target excess is 1145952
  48. Fri Apr 4 10:29:09 2025 commencing in-memory singleton removal
  49. Fri Apr 4 10:29:12 2025 begin with 229362708 relations and 221927777 unique ideals
  50. Fri Apr 4 10:29:27 2025 reduce to 120843209 relations and 99267750 ideals in 15 passes
  51. Fri Apr 4 10:29:27 2025 max relations containing the same ideal: 137
  52. Fri Apr 4 10:30:13 2025 removing 11972977 relations and 9972977 ideals in 2000000 cliques
  53. Fri Apr 4 10:30:19 2025 commencing in-memory singleton removal
  54. Fri Apr 4 10:30:21 2025 begin with 108870232 relations and 99267750 unique ideals
  55. Fri Apr 4 10:30:27 2025 reduce to 107970663 relations and 88376217 ideals in 9 passes
  56. Fri Apr 4 10:30:27 2025 max relations containing the same ideal: 126
  57. Fri Apr 4 10:31:26 2025 removing 9093047 relations and 7093047 ideals in 2000000 cliques
  58. Fri Apr 4 10:31:32 2025 commencing in-memory singleton removal
  59. Fri Apr 4 10:31:34 2025 begin with 98877616 relations and 88376217 unique ideals
  60. Fri Apr 4 10:31:41 2025 reduce to 98266319 relations and 80660407 ideals in 8 passes
  61. Fri Apr 4 10:31:41 2025 max relations containing the same ideal: 120
  62. Fri Apr 4 10:32:49 2025 removing 8227206 relations and 6227206 ideals in 2000000 cliques
  63. Fri Apr 4 10:32:54 2025 commencing in-memory singleton removal
  64. Fri Apr 4 10:32:56 2025 begin with 90039113 relations and 80660407 unique ideals
  65. Fri Apr 4 10:33:01 2025 reduce to 89486812 relations and 73870350 ideals in 7 passes
  66. Fri Apr 4 10:33:01 2025 max relations containing the same ideal: 113
  67. Fri Apr 4 10:34:01 2025 removing 7806222 relations and 5806222 ideals in 2000000 cliques
  68. Fri Apr 4 10:34:06 2025 commencing in-memory singleton removal
  69. Fri Apr 4 10:34:07 2025 begin with 81680590 relations and 73870350 unique ideals
  70. Fri Apr 4 10:34:12 2025 reduce to 81141065 relations and 67513540 ideals in 8 passes
  71. Fri Apr 4 10:34:12 2025 max relations containing the same ideal: 106
  72. Fri Apr 4 10:35:05 2025 removing 7551468 relations and 5551468 ideals in 2000000 cliques
  73. Fri Apr 4 10:35:09 2025 commencing in-memory singleton removal
  74. Fri Apr 4 10:35:11 2025 begin with 73589597 relations and 67513540 unique ideals
  75. Fri Apr 4 10:35:15 2025 reduce to 73039391 relations and 61399750 ideals in 8 passes
  76. Fri Apr 4 10:35:15 2025 max relations containing the same ideal: 100
  77. Fri Apr 4 10:36:02 2025 removing 7406325 relations and 5406325 ideals in 2000000 cliques
  78. Fri Apr 4 10:36:06 2025 commencing in-memory singleton removal
  79. Fri Apr 4 10:36:07 2025 begin with 65633066 relations and 61399750 unique ideals
  80. Fri Apr 4 10:36:11 2025 reduce to 65051011 relations and 55397211 ideals in 8 passes
  81. Fri Apr 4 10:36:11 2025 max relations containing the same ideal: 90
  82. Fri Apr 4 10:36:54 2025 removing 7323798 relations and 5323798 ideals in 2000000 cliques
  83. Fri Apr 4 10:36:57 2025 commencing in-memory singleton removal
  84. Fri Apr 4 10:36:58 2025 begin with 57727213 relations and 55397211 unique ideals
  85. Fri Apr 4 10:37:02 2025 reduce to 57088828 relations and 49417831 ideals in 8 passes
  86. Fri Apr 4 10:37:02 2025 max relations containing the same ideal: 83
  87. Fri Apr 4 10:37:40 2025 removing 7308501 relations and 5308501 ideals in 2000000 cliques
  88. Fri Apr 4 10:37:43 2025 commencing in-memory singleton removal
  89. Fri Apr 4 10:37:44 2025 begin with 49780327 relations and 49417831 unique ideals
  90. Fri Apr 4 10:37:47 2025 reduce to 49054287 relations and 43361000 ideals in 8 passes
  91. Fri Apr 4 10:37:47 2025 max relations containing the same ideal: 78
  92. Fri Apr 4 10:38:21 2025 removing 7346609 relations and 5346609 ideals in 2000000 cliques
  93. Fri Apr 4 10:38:24 2025 commencing in-memory singleton removal
  94. Fri Apr 4 10:38:25 2025 begin with 41707678 relations and 43361000 unique ideals
  95. Fri Apr 4 10:38:28 2025 reduce to 40837204 relations and 37112953 ideals in 9 passes
  96. Fri Apr 4 10:38:28 2025 max relations containing the same ideal: 65
  97. Fri Apr 4 10:39:01 2025 removing 7458300 relations and 5458300 ideals in 2000000 cliques
  98. Fri Apr 4 10:39:05 2025 commencing in-memory singleton removal
  99. Fri Apr 4 10:39:05 2025 begin with 33378904 relations and 37112953 unique ideals
  100. Fri Apr 4 10:39:07 2025 reduce to 32261976 relations and 30489666 ideals in 10 passes
  101. Fri Apr 4 10:39:07 2025 max relations containing the same ideal: 57
  102. Fri Apr 4 10:39:23 2025 removing 2428338 relations and 1985333 ideals in 443005 cliques
  103. Fri Apr 4 10:39:24 2025 commencing in-memory singleton removal
  104. Fri Apr 4 10:39:25 2025 begin with 29833638 relations and 30489666 unique ideals
  105. Fri Apr 4 10:39:26 2025 reduce to 29699615 relations and 28368562 ideals in 10 passes
  106. Fri Apr 4 10:39:26 2025 max relations containing the same ideal: 54
  107. Fri Apr 4 10:39:44 2025 relations with 0 large ideals: 4333
  108. Fri Apr 4 10:39:44 2025 relations with 1 large ideals: 54228
  109. Fri Apr 4 10:39:44 2025 relations with 2 large ideals: 586593
  110. Fri Apr 4 10:39:44 2025 relations with 3 large ideals: 2669806
  111. Fri Apr 4 10:39:44 2025 relations with 4 large ideals: 6356736
  112. Fri Apr 4 10:39:44 2025 relations with 5 large ideals: 8651572
  113. Fri Apr 4 10:39:44 2025 relations with 6 large ideals: 6998970
  114. Fri Apr 4 10:39:44 2025 relations with 7+ large ideals: 4377377
  115. Fri Apr 4 10:39:44 2025 commencing 2-way merge
  116. Fri Apr 4 10:40:02 2025 reduce to 17567982 relation sets and 16236929 unique ideals
  117. Fri Apr 4 10:40:02 2025 commencing full merge
  118. Fri Apr 4 10:49:05 2025 memory use: 1894.5 MB
  119. Fri Apr 4 10:49:08 2025 found 7412008 cycles, need 7365129
  120. Fri Apr 4 10:49:11 2025 weight of 7365129 cycles is about 958173027 (130.10/cycle)
  121. Fri Apr 4 10:49:11 2025 distribution of cycle lengths:
  122. Fri Apr 4 10:49:11 2025 1 relations: 448784
  123. Fri Apr 4 10:49:11 2025 2 relations: 442911
  124. Fri Apr 4 10:49:11 2025 3 relations: 452676
  125. Fri Apr 4 10:49:11 2025 4 relations: 453237
  126. Fri Apr 4 10:49:11 2025 5 relations: 460341
  127. Fri Apr 4 10:49:11 2025 6 relations: 458976
  128. Fri Apr 4 10:49:11 2025 7 relations: 452906
  129. Fri Apr 4 10:49:11 2025 8 relations: 443224
  130. Fri Apr 4 10:49:11 2025 9 relations: 424622
  131. Fri Apr 4 10:49:11 2025 10+ relations: 3327452
  132. Fri Apr 4 10:49:11 2025 heaviest cycle: 28 relations
  133. Fri Apr 4 10:49:15 2025 commencing cycle optimization
  134. Fri Apr 4 10:49:40 2025 start with 70573639 relations
  135. Fri Apr 4 10:52:25 2025 pruned 2989741 relations
  136. Fri Apr 4 10:52:25 2025 memory use: 1913.8 MB
  137. Fri Apr 4 10:52:25 2025 distribution of cycle lengths:
  138. Fri Apr 4 10:52:25 2025 1 relations: 448784
  139. Fri Apr 4 10:52:25 2025 2 relations: 453697
  140. Fri Apr 4 10:52:25 2025 3 relations: 470394
  141. Fri Apr 4 10:52:25 2025 4 relations: 470222
  142. Fri Apr 4 10:52:25 2025 5 relations: 480802
  143. Fri Apr 4 10:52:25 2025 6 relations: 478964
  144. Fri Apr 4 10:52:25 2025 7 relations: 475128
  145. Fri Apr 4 10:52:25 2025 8 relations: 463247
  146. Fri Apr 4 10:52:25 2025 9 relations: 444927
  147. Fri Apr 4 10:52:25 2025 10+ relations: 3178964
  148. Fri Apr 4 10:52:25 2025 heaviest cycle: 28 relations
  149. Fri Apr 4 10:52:46 2025 RelProcTime: 3957
  150. Fri Apr 4 10:52:47 2025
  151. Fri Apr 4 10:52:47 2025 commencing linear algebra
  152. Fri Apr 4 10:52:47 2025 using VBITS=256
  153. Fri Apr 4 10:52:47 2025 stopping after matrix build
  154. Fri Apr 4 10:52:47 2025 initialized process (0,0) of 1 x 1 grid
  155. Fri Apr 4 10:52:49 2025 read 7365129 cycles
  156. Fri Apr 4 10:53:15 2025 cycles contain 28787304 unique relations
  157. Fri Apr 4 10:58:46 2025 read 28787304 relations
  158. Fri Apr 4 10:58:49 2025 using 20 quadratic characters above 4294917295
  159. Fri Apr 4 10:58:53 2025 building initial matrix
  160. Fri Apr 4 11:07:00 2025 memory use: 3863.9 MB
  161. Fri Apr 4 11:07:09 2025 read 7365129 cycles
  162. Fri Apr 4 11:07:11 2025 matrix is 7364951 x 7365129 (3721.9 MB) with weight 1132963719 (153.83/col)
  163. Fri Apr 4 11:07:11 2025 sparse part has weight 887294065 (120.47/col)
  164. Fri Apr 4 11:09:59 2025 filtering completed in 2 passes
  165. Fri Apr 4 11:10:02 2025 matrix is 7364426 x 7364603 (3721.8 MB) with weight 1132933817 (153.84/col)
  166. Fri Apr 4 11:10:02 2025 sparse part has weight 887283056 (120.48/col)
  167. Fri Apr 4 11:10:47 2025 BLanczosTime: 1080
  168. Fri Apr 4 11:10:47 2025 elapsed time 01:23:59
  169. Fri Apr 4 19:19:10 2025
  170. Fri Apr 4 19:19:10 2025
  171. Fri Apr 4 19:19:10 2025 Msieve v. 1.54 (SVN Unversioned directory)
  172. Fri Apr 4 19:19:10 2025 random seeds: 7a6b177a 16aef3d2
  173. Fri Apr 4 19:19:10 2025 MPI process 0 of 1
  174. Fri Apr 4 19:19:10 2025 Using 64 OpenMP threads
  175. Fri Apr 4 19:19:10 2025 factoring 15487617972351729826278319756972782877980634705177647410439965407598883675231699905611369463424576032540772459973333208698115050621236572582226573686144692685338903 (164 digits)
  176. Fri Apr 4 19:19:10 2025 searching for 15-digit factors
  177. Fri Apr 4 19:19:10 2025 commencing number field sieve (164-digit input)
  178. Fri Apr 4 19:19:10 2025 R0: -35075485574339234370176097886337
  179. Fri Apr 4 19:19:10 2025 R1: 105723105613666399
  180. Fri Apr 4 19:19:10 2025 A0: -28037410873665952122133120437072327486432
  181. Fri Apr 4 19:19:10 2025 A1: 8473635195169541098421967638823460
  182. Fri Apr 4 19:19:10 2025 A2: 777385376311091522622353088
  183. Fri Apr 4 19:19:10 2025 A3: -191027912235166284207
  184. Fri Apr 4 19:19:10 2025 A4: -8311724197114
  185. Fri Apr 4 19:19:10 2025 A5: 291720
  186. Fri Apr 4 19:19:10 2025 skew 12088373.57, size 6.398e-16, alpha -7.652, combined = 8.643e-13 rroots = 5
  187. Fri Apr 4 19:19:10 2025
  188. Fri Apr 4 19:19:10 2025 commencing linear algebra
  189. Fri Apr 4 19:19:10 2025 using VBITS=256
  190. Fri Apr 4 19:19:10 2025 skipping matrix build
  191. Fri Apr 4 19:19:10 2025 initialized process (0,0) of 1 x 1 grid
  192. Fri Apr 4 19:19:14 2025 matrix starts at (0, 0)
  193. Fri Apr 4 19:19:15 2025 matrix is 7364426 x 7364603 (3721.8 MB) with weight 1132933817 (153.84/col)
  194. Fri Apr 4 19:19:15 2025 sparse part has weight 887283056 (120.48/col)
  195. Fri Apr 4 19:19:15 2025 saving the first 240 matrix rows for later
  196. Fri Apr 4 19:19:17 2025 matrix includes 256 packed rows
  197. Fri Apr 4 19:19:19 2025 matrix is 7364186 x 7364603 (3336.5 MB) with weight 808441741 (109.77/col)
  198. Fri Apr 4 19:19:19 2025 sparse part has weight 756819946 (102.76/col)
  199. Fri Apr 4 19:19:19 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  200. Fri Apr 4 19:19:36 2025 commencing Lanczos iteration (64 threads)
  201. Fri Apr 4 19:19:36 2025 memory use: 4711.2 MB
  202. Fri Apr 4 19:20:43 2025 linear algebra at 0.4%, ETA 4h19m
  203. Fri Apr 4 19:22:19 2025 checking every 20000 dimensions, checkpointing every 1720000 dimensions
  204. Fri Apr 4 23:32:23 2025 lanczos halted after 28854 iterations (dim = 7364186)
  205. Fri Apr 4 23:32:46 2025 recovered 30 nontrivial dependencies
  206. Fri Apr 4 23:32:46 2025 BLanczosTime: 15216
  207. Fri Apr 4 23:32:46 2025
  208. Fri Apr 4 23:32:46 2025 commencing square root phase
  209. Fri Apr 4 23:32:46 2025 handling dependencies 1 to 64
  210. Fri Apr 4 23:32:46 2025 reading relations for dependency 1
  211. Fri Apr 4 23:32:47 2025 read 3682804 cycles
  212. Fri Apr 4 23:32:53 2025 cycles contain 14389476 unique relations
  213. Fri Apr 4 23:37:00 2025 read 14389476 relations
  214. Fri Apr 4 23:37:49 2025 multiplying 14389476 relations
  215. Fri Apr 4 23:39:06 2025 multiply complete, coefficients have about 791.40 million bits
  216. Fri Apr 4 23:39:08 2025 initial square root is modulo 12590009
  217. Fri Apr 4 23:46:59 2025 sqrtTime: 853
  218. Fri Apr 4 23:46:59 2025 p60 factor: 147821827539593401186838344522168006862600303358850246151021
  219. Fri Apr 4 23:46:59 2025 p105 factor: 104772199276209341324155861090717245274958566415147723132520354303395836390960535124430249327312066945043
  220. Fri Apr 4 23:46:59 2025 elapsed time 04:27:49
  221.  
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