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Nov 10th, 2025
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  1. Mon Nov 10 09:17:26 2025
  2. Mon Nov 10 09:17:26 2025
  3. Mon Nov 10 09:17:26 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Nov 10 09:17:26 2025 random seeds: d972bc28 f16536a4
  5. Mon Nov 10 09:17:26 2025 MPI process 0 of 1
  6. Mon Nov 10 09:17:26 2025 Using 32 OpenMP threads
  7. Mon Nov 10 09:17:26 2025 factoring 23253389035217554317473786176421262896457329023603314924237639805280225705220925612971217545690754174867112137694002820789331427040208953954039722539986648991119193733 (167 digits)
  8. Mon Nov 10 09:17:27 2025 searching for 15-digit factors
  9. Mon Nov 10 09:17:27 2025 commencing number field sieve (167-digit input)
  10. Mon Nov 10 09:17:27 2025 R0: -140356665384964236160531023601037
  11. Mon Nov 10 09:17:27 2025 R1: 1434732517640701651793537
  12. Mon Nov 10 09:17:27 2025 A0: -3381846001789592665695003250219304400
  13. Mon Nov 10 09:17:27 2025 A1: -6017391007127642541745673605280
  14. Mon Nov 10 09:17:27 2025 A2: 27572973342529521532110601
  15. Mon Nov 10 09:17:27 2025 A3: 11804321671388230571
  16. Mon Nov 10 09:17:27 2025 A4: -10032516193734
  17. Mon Nov 10 09:17:27 2025 A5: 955080
  18. Mon Nov 10 09:17:27 2025 skew 1865698.01, size 4.166e-16, alpha -5.413, combined = 6.944e-13 rroots = 5
  19. Mon Nov 10 09:17:27 2025
  20. Mon Nov 10 09:17:27 2025 commencing relation filtering
  21. Mon Nov 10 09:17:27 2025 setting target matrix density to 120.0
  22. Mon Nov 10 09:17:27 2025 estimated available RAM is 257736.5 MB
  23. Mon Nov 10 09:17:27 2025 commencing duplicate removal, pass 1
  24. Mon Nov 10 09:17:52 2025 error -1 reading relation 10050828
  25. Mon Nov 10 09:21:00 2025 error -1 reading relation 89513577
  26. Mon Nov 10 09:22:06 2025 error -1 reading relation 114841756
  27. Mon Nov 10 09:22:32 2025 error -1 reading relation 124467214
  28. Mon Nov 10 09:22:34 2025 error -1 reading relation 125133457
  29. Mon Nov 10 09:22:47 2025 error -1 reading relation 130188925
  30. Mon Nov 10 09:23:10 2025 error -1 reading relation 139297484
  31. Mon Nov 10 09:23:56 2025 error -1 reading relation 158562181
  32. Mon Nov 10 09:23:57 2025 error -1 reading relation 158834043
  33. Mon Nov 10 09:24:00 2025 error -1 reading relation 160037846
  34. Mon Nov 10 09:24:15 2025 error -1 reading relation 166230811
  35. Mon Nov 10 09:25:38 2025 error -1 reading relation 200210267
  36. Mon Nov 10 09:26:43 2025 error -1 reading relation 227239052
  37. Mon Nov 10 09:27:25 2025 error -1 reading relation 243824121
  38. Mon Nov 10 09:27:25 2025 error -1 reading relation 243841768
  39. Mon Nov 10 09:27:42 2025 error -1 reading relation 250041029
  40. Mon Nov 10 09:27:43 2025 error -1 reading relation 250426006
  41. Mon Nov 10 09:27:45 2025 error -1 reading relation 251041744
  42. Mon Nov 10 09:27:56 2025 error -1 reading relation 254542937
  43. Mon Nov 10 09:28:00 2025 skipped 1 relations with b > 2^32
  44. Mon Nov 10 09:28:00 2025 skipped 99 malformed relations
  45. Mon Nov 10 09:28:00 2025 found 42802606 hash collisions in 256088582 relations
  46. Mon Nov 10 09:28:39 2025 added 121674 free relations
  47. Mon Nov 10 09:28:39 2025 commencing duplicate removal, pass 2
  48. Mon Nov 10 09:37:31 2025 found 43369067 duplicates and 212841189 unique relations
  49. Mon Nov 10 09:37:31 2025 memory use: 1577.5 MB
  50. Mon Nov 10 09:37:31 2025 reading ideals above 720000
  51. Mon Nov 10 09:37:32 2025 commencing singleton removal, initial pass
  52. Mon Nov 10 10:02:58 2025 memory use: 6024.0 MB
  53. Mon Nov 10 10:02:59 2025 reading all ideals from disk
  54. Mon Nov 10 10:03:06 2025 memory use: 9795.0 MB
  55. Mon Nov 10 10:03:51 2025 keeping 218222519 ideals with weight <= 200, target excess is 1040503
  56. Mon Nov 10 10:04:50 2025 commencing in-memory singleton removal
  57. Mon Nov 10 10:04:55 2025 begin with 212841189 relations and 218222519 unique ideals
  58. Mon Nov 10 10:05:20 2025 reduce to 99102058 relations and 88140504 ideals in 20 passes
  59. Mon Nov 10 10:05:20 2025 max relations containing the same ideal: 128
  60. Mon Nov 10 10:07:00 2025 removing 8458226 relations and 7458226 ideals in 1000000 cliques
  61. Mon Nov 10 10:07:06 2025 commencing in-memory singleton removal
  62. Mon Nov 10 10:07:08 2025 begin with 90643832 relations and 88140504 unique ideals
  63. Mon Nov 10 10:07:16 2025 reduce to 90053899 relations and 80083945 ideals in 10 passes
  64. Mon Nov 10 10:07:16 2025 max relations containing the same ideal: 120
  65. Mon Nov 10 10:08:40 2025 removing 6318779 relations and 5318779 ideals in 1000000 cliques
  66. Mon Nov 10 10:08:46 2025 commencing in-memory singleton removal
  67. Mon Nov 10 10:08:48 2025 begin with 83735120 relations and 80083945 unique ideals
  68. Mon Nov 10 10:08:53 2025 reduce to 83358630 relations and 74384116 ideals in 9 passes
  69. Mon Nov 10 10:08:53 2025 max relations containing the same ideal: 114
  70. Mon Nov 10 10:10:10 2025 removing 5662291 relations and 4662291 ideals in 1000000 cliques
  71. Mon Nov 10 10:10:15 2025 commencing in-memory singleton removal
  72. Mon Nov 10 10:10:17 2025 begin with 77696339 relations and 74384116 unique ideals
  73. Mon Nov 10 10:10:22 2025 reduce to 77369009 relations and 69390699 ideals in 9 passes
  74. Mon Nov 10 10:10:22 2025 max relations containing the same ideal: 110
  75. Mon Nov 10 10:11:24 2025 removing 5318531 relations and 4318531 ideals in 1000000 cliques
  76. Mon Nov 10 10:11:29 2025 commencing in-memory singleton removal
  77. Mon Nov 10 10:11:30 2025 begin with 72050478 relations and 69390699 unique ideals
  78. Mon Nov 10 10:11:35 2025 reduce to 71734701 relations and 64752527 ideals in 8 passes
  79. Mon Nov 10 10:11:35 2025 max relations containing the same ideal: 105
  80. Mon Nov 10 10:12:42 2025 removing 5108709 relations and 4108709 ideals in 1000000 cliques
  81. Mon Nov 10 10:12:46 2025 commencing in-memory singleton removal
  82. Mon Nov 10 10:12:47 2025 begin with 66625992 relations and 64752527 unique ideals
  83. Mon Nov 10 10:12:52 2025 reduce to 66312115 relations and 60325969 ideals in 10 passes
  84. Mon Nov 10 10:12:52 2025 max relations containing the same ideal: 98
  85. Mon Nov 10 10:13:52 2025 removing 4979541 relations and 3979541 ideals in 1000000 cliques
  86. Mon Nov 10 10:13:58 2025 commencing in-memory singleton removal
  87. Mon Nov 10 10:13:59 2025 begin with 61332574 relations and 60325969 unique ideals
  88. Mon Nov 10 10:14:04 2025 reduce to 61010284 relations and 56019653 ideals in 9 passes
  89. Mon Nov 10 10:14:04 2025 max relations containing the same ideal: 89
  90. Mon Nov 10 10:14:55 2025 removing 4900138 relations and 3900138 ideals in 1000000 cliques
  91. Mon Nov 10 10:14:59 2025 commencing in-memory singleton removal
  92. Mon Nov 10 10:15:00 2025 begin with 56110146 relations and 56019653 unique ideals
  93. Mon Nov 10 10:15:03 2025 reduce to 55767938 relations and 51772367 ideals in 8 passes
  94. Mon Nov 10 10:15:03 2025 max relations containing the same ideal: 85
  95. Mon Nov 10 10:15:48 2025 removing 4867237 relations and 3867237 ideals in 1000000 cliques
  96. Mon Nov 10 10:15:52 2025 commencing in-memory singleton removal
  97. Mon Nov 10 10:15:53 2025 begin with 50900701 relations and 51772367 unique ideals
  98. Mon Nov 10 10:15:56 2025 reduce to 50526161 relations and 47524694 ideals in 8 passes
  99. Mon Nov 10 10:15:56 2025 max relations containing the same ideal: 79
  100. Mon Nov 10 10:16:36 2025 removing 4866633 relations and 3866633 ideals in 1000000 cliques
  101. Mon Nov 10 10:16:39 2025 commencing in-memory singleton removal
  102. Mon Nov 10 10:16:40 2025 begin with 45659528 relations and 47524694 unique ideals
  103. Mon Nov 10 10:16:44 2025 reduce to 45242509 relations and 43233862 ideals in 11 passes
  104. Mon Nov 10 10:16:44 2025 max relations containing the same ideal: 74
  105. Mon Nov 10 10:17:23 2025 removing 4124589 relations and 3322926 ideals in 801663 cliques
  106. Mon Nov 10 10:17:25 2025 commencing in-memory singleton removal
  107. Mon Nov 10 10:17:26 2025 begin with 41117920 relations and 43233862 unique ideals
  108. Mon Nov 10 10:17:29 2025 reduce to 40787969 relations and 39575799 ideals in 9 passes
  109. Mon Nov 10 10:17:29 2025 max relations containing the same ideal: 72
  110. Mon Nov 10 10:18:14 2025 relations with 0 large ideals: 3747
  111. Mon Nov 10 10:18:14 2025 relations with 1 large ideals: 27606
  112. Mon Nov 10 10:18:14 2025 relations with 2 large ideals: 371277
  113. Mon Nov 10 10:18:14 2025 relations with 3 large ideals: 2082361
  114. Mon Nov 10 10:18:14 2025 relations with 4 large ideals: 6201330
  115. Mon Nov 10 10:18:14 2025 relations with 5 large ideals: 10758932
  116. Mon Nov 10 10:18:14 2025 relations with 6 large ideals: 11254109
  117. Mon Nov 10 10:18:14 2025 relations with 7+ large ideals: 10088607
  118. Mon Nov 10 10:18:14 2025 commencing 2-way merge
  119. Mon Nov 10 10:19:08 2025 reduce to 23941133 relation sets and 22728963 unique ideals
  120. Mon Nov 10 10:19:08 2025 commencing full merge
  121. Mon Nov 10 10:37:33 2025 memory use: 2612.8 MB
  122. Mon Nov 10 10:37:39 2025 found 10152899 cycles, need 10147163
  123. Mon Nov 10 10:37:45 2025 weight of 10147163 cycles is about 1217690630 (120.00/cycle)
  124. Mon Nov 10 10:37:45 2025 distribution of cycle lengths:
  125. Mon Nov 10 10:37:45 2025 1 relations: 863888
  126. Mon Nov 10 10:37:45 2025 2 relations: 722648
  127. Mon Nov 10 10:37:45 2025 3 relations: 709511
  128. Mon Nov 10 10:37:45 2025 4 relations: 682248
  129. Mon Nov 10 10:37:45 2025 5 relations: 670290
  130. Mon Nov 10 10:37:45 2025 6 relations: 640234
  131. Mon Nov 10 10:37:45 2025 7 relations: 613739
  132. Mon Nov 10 10:37:45 2025 8 relations: 583345
  133. Mon Nov 10 10:37:45 2025 9 relations: 553480
  134. Mon Nov 10 10:37:45 2025 10+ relations: 4107780
  135. Mon Nov 10 10:37:45 2025 heaviest cycle: 28 relations
  136. Mon Nov 10 10:37:51 2025 commencing cycle optimization
  137. Mon Nov 10 10:38:38 2025 start with 90827604 relations
  138. Mon Nov 10 10:46:09 2025 pruned 3278068 relations
  139. Mon Nov 10 10:46:09 2025 memory use: 2565.8 MB
  140. Mon Nov 10 10:46:09 2025 distribution of cycle lengths:
  141. Mon Nov 10 10:46:09 2025 1 relations: 863888
  142. Mon Nov 10 10:46:09 2025 2 relations: 740625
  143. Mon Nov 10 10:46:09 2025 3 relations: 735346
  144. Mon Nov 10 10:46:09 2025 4 relations: 704920
  145. Mon Nov 10 10:46:09 2025 5 relations: 695369
  146. Mon Nov 10 10:46:09 2025 6 relations: 661617
  147. Mon Nov 10 10:46:09 2025 7 relations: 636298
  148. Mon Nov 10 10:46:09 2025 8 relations: 602343
  149. Mon Nov 10 10:46:09 2025 9 relations: 569251
  150. Mon Nov 10 10:46:09 2025 10+ relations: 3937506
  151. Mon Nov 10 10:46:09 2025 heaviest cycle: 28 relations
  152. Mon Nov 10 10:46:47 2025 RelProcTime: 5360
  153. Mon Nov 10 10:46:47 2025
  154. Mon Nov 10 10:46:47 2025 commencing linear algebra
  155. Mon Nov 10 10:46:47 2025 using VBITS=256
  156. Mon Nov 10 10:46:47 2025 stopping after matrix build
  157. Mon Nov 10 10:46:47 2025 initialized process (0,0) of 1 x 1 grid
  158. Mon Nov 10 10:46:49 2025 read 10147163 cycles
  159. Mon Nov 10 10:47:28 2025 cycles contain 39759490 unique relations
  160. Mon Nov 10 10:53:23 2025 read 39759490 relations
  161. Mon Nov 10 10:53:28 2025 using 20 quadratic characters above 4294917295
  162. Mon Nov 10 10:53:35 2025 building initial matrix
  163. Mon Nov 10 11:08:37 2025 memory use: 5154.0 MB
  164. Mon Nov 10 11:08:50 2025 read 10147163 cycles
  165. Mon Nov 10 11:08:53 2025 matrix is 10146986 x 10147163 (4772.7 MB) with weight 1438612394 (141.77/col)
  166. Mon Nov 10 11:08:53 2025 sparse part has weight 1139514471 (112.30/col)
  167. Mon Nov 10 11:12:56 2025 filtering completed in 2 passes
  168. Mon Nov 10 11:13:00 2025 matrix is 10146596 x 10146772 (4772.7 MB) with weight 1438596112 (141.78/col)
  169. Mon Nov 10 11:13:00 2025 sparse part has weight 1139510518 (112.30/col)
  170. Mon Nov 10 11:14:15 2025 BLanczosTime: 1648
  171. Mon Nov 10 11:14:15 2025 elapsed time 01:56:49
  172. Mon Nov 10 11:19:37 2025
  173. Mon Nov 10 11:19:37 2025
  174. Mon Nov 10 11:19:37 2025 Msieve v. 1.54 (SVN Unversioned directory)
  175. Mon Nov 10 11:19:37 2025 random seeds: 367625c6 a10a0b88
  176. Mon Nov 10 11:19:37 2025 MPI process 0 of 1
  177. Mon Nov 10 11:19:37 2025 Using 64 OpenMP threads
  178. Mon Nov 10 11:19:37 2025 factoring 23253389035217554317473786176421262896457329023603314924237639805280225705220925612971217545690754174867112137694002820789331427040208953954039722539986648991119193733 (167 digits)
  179. Mon Nov 10 11:19:38 2025 searching for 15-digit factors
  180. Mon Nov 10 11:19:39 2025 commencing number field sieve (167-digit input)
  181. Mon Nov 10 11:19:39 2025 R0: -140356665384964236160531023601037
  182. Mon Nov 10 11:19:39 2025 R1: 1434732517640701651793537
  183. Mon Nov 10 11:19:39 2025 A0: -3381846001789592665695003250219304400
  184. Mon Nov 10 11:19:39 2025 A1: -6017391007127642541745673605280
  185. Mon Nov 10 11:19:39 2025 A2: 27572973342529521532110601
  186. Mon Nov 10 11:19:39 2025 A3: 11804321671388230571
  187. Mon Nov 10 11:19:39 2025 A4: -10032516193734
  188. Mon Nov 10 11:19:39 2025 A5: 955080
  189. Mon Nov 10 11:19:39 2025 skew 1865698.01, size 4.166e-16, alpha -5.413, combined = 6.944e-13 rroots = 5
  190. Mon Nov 10 11:19:39 2025
  191. Mon Nov 10 11:19:39 2025 commencing linear algebra
  192. Mon Nov 10 11:19:39 2025 using VBITS=256
  193. Mon Nov 10 11:19:39 2025 skipping matrix build
  194. Mon Nov 10 11:19:39 2025 initialized process (0,0) of 1 x 1 grid
  195. Mon Nov 10 11:19:45 2025 matrix starts at (0, 0)
  196. Mon Nov 10 11:19:47 2025 matrix is 10146596 x 10146772 (4772.7 MB) with weight 1438596112 (141.78/col)
  197. Mon Nov 10 11:19:47 2025 sparse part has weight 1139510518 (112.30/col)
  198. Mon Nov 10 11:19:47 2025 saving the first 240 matrix rows for later
  199. Mon Nov 10 11:19:49 2025 matrix includes 256 packed rows
  200. Mon Nov 10 11:19:52 2025 matrix is 10146356 x 10146772 (4346.8 MB) with weight 1039380172 (102.43/col)
  201. Mon Nov 10 11:19:52 2025 sparse part has weight 977148033 (96.30/col)
  202. Mon Nov 10 11:19:52 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  203. Mon Nov 10 11:20:13 2025 commencing Lanczos iteration (64 threads)
  204. Mon Nov 10 11:20:13 2025 memory use: 6285.3 MB
  205. Mon Nov 10 11:21:36 2025 linear algebra at 0.3%, ETA 7h26m
  206. Mon Nov 10 11:23:35 2025 checking every 20000 dimensions, checkpointing every 1400000 dimensions
  207. Mon Nov 10 18:38:37 2025 lanczos halted after 39755 iterations (dim = 10146353)
  208. Mon Nov 10 18:39:26 2025 recovered 26 nontrivial dependencies
  209. Mon Nov 10 18:39:27 2025 BLanczosTime: 26388
  210. Mon Nov 10 18:39:27 2025
  211. Mon Nov 10 18:39:27 2025 commencing square root phase
  212. Mon Nov 10 18:39:27 2025 handling dependencies 1 to 64
  213. Mon Nov 10 18:39:27 2025 reading relations for dependency 1
  214. Mon Nov 10 18:39:28 2025 read 5072192 cycles
  215. Mon Nov 10 18:39:36 2025 cycles contain 19873222 unique relations
  216. Mon Nov 10 18:43:12 2025 read 19873222 relations
  217. Mon Nov 10 18:44:17 2025 multiplying 19873222 relations
  218. Mon Nov 10 18:46:04 2025 multiply complete, coefficients have about 1114.12 million bits
  219. Mon Nov 10 18:46:07 2025 initial square root is modulo 99529
  220. Mon Nov 10 18:52:24 2025 sqrtTime: 777
  221. Mon Nov 10 18:52:24 2025 p62 factor: 26956000215038254546343726276867393240336799277509735345361109
  222. Mon Nov 10 18:52:24 2025 p105 factor: 862642411697449020938043582454633110622314638307767447809651096710835767678809959513407586491421442500337
  223. Mon Nov 10 18:52:24 2025 elapsed time 07:32:47
  224.  
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