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Jun 6th, 2025
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  1. Thu Jun 5 23:45:48 2025
  2. Thu Jun 5 23:45:48 2025
  3. Thu Jun 5 23:45:48 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Jun 5 23:45:48 2025 random seeds: 4ca343f3 bbc72d94
  5. Thu Jun 5 23:45:48 2025 MPI process 0 of 1
  6. Thu Jun 5 23:45:48 2025 Using 32 OpenMP threads
  7. Thu Jun 5 23:45:48 2025 factoring 19077914521549692577550447222357227573671105044688024127739139534522237181931395736246633328336083098478304067379708120707308449701406093024265820804494762107387 (161 digits)
  8. Thu Jun 5 23:45:49 2025 searching for 15-digit factors
  9. Thu Jun 5 23:45:49 2025 commencing number field sieve (161-digit input)
  10. Thu Jun 5 23:45:49 2025 reversing signs of algebraic polynomial
  11. Thu Jun 5 23:45:49 2025 R0: -13324245833099848309474490557723
  12. Thu Jun 5 23:45:49 2025 R1: 387293809849811412619607
  13. Thu Jun 5 23:45:49 2025 A0: 153020487878302159819103851155350355504
  14. Thu Jun 5 23:45:49 2025 A1: 395257650006259253984407487180404
  15. Thu Jun 5 23:45:49 2025 A2: -71013002803858654600179776
  16. Thu Jun 5 23:45:49 2025 A3: -37723670602255992911
  17. Thu Jun 5 23:45:49 2025 A4: 1808506038300
  18. Thu Jun 5 23:45:49 2025 A5: 207900
  19. Thu Jun 5 23:45:49 2025 skew 6132118.30, size 1.600e-15, alpha -7.797, combined = 1.538e-12 rroots = 5
  20. Thu Jun 5 23:45:49 2025
  21. Thu Jun 5 23:45:49 2025 commencing relation filtering
  22. Thu Jun 5 23:45:49 2025 setting target matrix density to 130.0
  23. Thu Jun 5 23:45:49 2025 reversing signs of algebraic polynomial
  24. Thu Jun 5 23:45:49 2025 estimated available RAM is 257736.5 MB
  25. Thu Jun 5 23:45:49 2025 commencing duplicate removal, pass 1
  26. Thu Jun 5 23:47:25 2025 error -5 reading relation 50702553
  27. Thu Jun 5 23:48:08 2025 error -1 reading relation 71052762
  28. Thu Jun 5 23:48:34 2025 error -1 reading relation 83108316
  29. Thu Jun 5 23:48:34 2025 error -1 reading relation 83244628
  30. Thu Jun 5 23:49:26 2025 error -1 reading relation 107004268
  31. Thu Jun 5 23:49:41 2025 skipped 135 malformed relations
  32. Thu Jun 5 23:49:41 2025 found 18921504 hash collisions in 114234571 relations
  33. Thu Jun 5 23:50:09 2025 added 121649 free relations
  34. Thu Jun 5 23:50:09 2025 commencing duplicate removal, pass 2
  35. Thu Jun 5 23:52:43 2025 found 17167111 duplicates and 97189109 unique relations
  36. Thu Jun 5 23:52:43 2025 memory use: 660.8 MB
  37. Thu Jun 5 23:52:43 2025 reading ideals above 720000
  38. Thu Jun 5 23:52:43 2025 commencing singleton removal, initial pass
  39. Fri Jun 6 00:00:14 2025 memory use: 2756.0 MB
  40. Fri Jun 6 00:00:14 2025 reading all ideals from disk
  41. Fri Jun 6 00:00:16 2025 memory use: 4344.2 MB
  42. Fri Jun 6 00:00:27 2025 keeping 88911272 ideals with weight <= 200, target excess is 503037
  43. Fri Jun 6 00:00:41 2025 commencing in-memory singleton removal
  44. Fri Jun 6 00:00:43 2025 begin with 97189109 relations and 88911272 unique ideals
  45. Fri Jun 6 00:00:50 2025 reduce to 61211755 relations and 49081502 ideals in 12 passes
  46. Fri Jun 6 00:00:50 2025 max relations containing the same ideal: 156
  47. Fri Jun 6 00:01:16 2025 removing 8878347 relations and 6878347 ideals in 2000000 cliques
  48. Fri Jun 6 00:01:19 2025 commencing in-memory singleton removal
  49. Fri Jun 6 00:01:20 2025 begin with 52333408 relations and 49081502 unique ideals
  50. Fri Jun 6 00:01:23 2025 reduce to 51342572 relations and 41172699 ideals in 9 passes
  51. Fri Jun 6 00:01:23 2025 max relations containing the same ideal: 145
  52. Fri Jun 6 00:01:53 2025 removing 6995485 relations and 4995485 ideals in 2000000 cliques
  53. Fri Jun 6 00:01:57 2025 commencing in-memory singleton removal
  54. Fri Jun 6 00:01:58 2025 begin with 44347087 relations and 41172699 unique ideals
  55. Fri Jun 6 00:02:00 2025 reduce to 43628950 relations and 35431890 ideals in 7 passes
  56. Fri Jun 6 00:02:00 2025 max relations containing the same ideal: 127
  57. Fri Jun 6 00:02:28 2025 removing 6484597 relations and 4484597 ideals in 2000000 cliques
  58. Fri Jun 6 00:02:32 2025 commencing in-memory singleton removal
  59. Fri Jun 6 00:02:33 2025 begin with 37144353 relations and 35431890 unique ideals
  60. Fri Jun 6 00:02:35 2025 reduce to 36462838 relations and 30237272 ideals in 7 passes
  61. Fri Jun 6 00:02:35 2025 max relations containing the same ideal: 111
  62. Fri Jun 6 00:02:53 2025 removing 6243027 relations and 4243027 ideals in 2000000 cliques
  63. Fri Jun 6 00:02:55 2025 commencing in-memory singleton removal
  64. Fri Jun 6 00:02:55 2025 begin with 30219811 relations and 30237272 unique ideals
  65. Fri Jun 6 00:02:57 2025 reduce to 29505076 relations and 25244386 ideals in 8 passes
  66. Fri Jun 6 00:02:57 2025 max relations containing the same ideal: 98
  67. Fri Jun 6 00:03:11 2025 removing 6102630 relations and 4102630 ideals in 2000000 cliques
  68. Fri Jun 6 00:03:13 2025 commencing in-memory singleton removal
  69. Fri Jun 6 00:03:13 2025 begin with 23402446 relations and 25244386 unique ideals
  70. Fri Jun 6 00:03:15 2025 reduce to 22595711 relations and 20287025 ideals in 8 passes
  71. Fri Jun 6 00:03:15 2025 max relations containing the same ideal: 85
  72. Fri Jun 6 00:03:26 2025 removing 5324269 relations and 3599106 ideals in 1725163 cliques
  73. Fri Jun 6 00:03:28 2025 commencing in-memory singleton removal
  74. Fri Jun 6 00:03:28 2025 begin with 17271442 relations and 20287025 unique ideals
  75. Fri Jun 6 00:03:29 2025 reduce to 16474142 relations and 15836602 ideals in 13 passes
  76. Fri Jun 6 00:03:29 2025 max relations containing the same ideal: 68
  77. Fri Jun 6 00:03:38 2025 removing 331028 relations and 277011 ideals in 54017 cliques
  78. Fri Jun 6 00:03:38 2025 commencing in-memory singleton removal
  79. Fri Jun 6 00:03:39 2025 begin with 16143114 relations and 15836602 unique ideals
  80. Fri Jun 6 00:03:39 2025 reduce to 16138972 relations and 15555439 ideals in 5 passes
  81. Fri Jun 6 00:03:39 2025 max relations containing the same ideal: 67
  82. Fri Jun 6 00:03:41 2025 relations with 0 large ideals: 1636
  83. Fri Jun 6 00:03:41 2025 relations with 1 large ideals: 10239
  84. Fri Jun 6 00:03:41 2025 relations with 2 large ideals: 136579
  85. Fri Jun 6 00:03:41 2025 relations with 3 large ideals: 781501
  86. Fri Jun 6 00:03:41 2025 relations with 4 large ideals: 2342376
  87. Fri Jun 6 00:03:41 2025 relations with 5 large ideals: 4086450
  88. Fri Jun 6 00:03:41 2025 relations with 6 large ideals: 4383391
  89. Fri Jun 6 00:03:41 2025 relations with 7+ large ideals: 4396800
  90. Fri Jun 6 00:03:41 2025 commencing 2-way merge
  91. Fri Jun 6 00:03:54 2025 reduce to 10419407 relation sets and 9835874 unique ideals
  92. Fri Jun 6 00:03:54 2025 commencing full merge
  93. Fri Jun 6 00:09:26 2025 memory use: 1289.6 MB
  94. Fri Jun 6 00:09:27 2025 found 4632723 cycles, need 4608074
  95. Fri Jun 6 00:09:29 2025 weight of 4608074 cycles is about 599843870 (130.17/cycle)
  96. Fri Jun 6 00:09:29 2025 distribution of cycle lengths:
  97. Fri Jun 6 00:09:29 2025 1 relations: 116208
  98. Fri Jun 6 00:09:29 2025 2 relations: 241055
  99. Fri Jun 6 00:09:29 2025 3 relations: 302092
  100. Fri Jun 6 00:09:29 2025 4 relations: 321729
  101. Fri Jun 6 00:09:29 2025 5 relations: 338002
  102. Fri Jun 6 00:09:29 2025 6 relations: 337700
  103. Fri Jun 6 00:09:29 2025 7 relations: 333654
  104. Fri Jun 6 00:09:29 2025 8 relations: 321815
  105. Fri Jun 6 00:09:29 2025 9 relations: 302323
  106. Fri Jun 6 00:09:29 2025 10+ relations: 1993496
  107. Fri Jun 6 00:09:29 2025 heaviest cycle: 28 relations
  108. Fri Jun 6 00:09:30 2025 commencing cycle optimization
  109. Fri Jun 6 00:09:46 2025 start with 43422197 relations
  110. Fri Jun 6 00:12:29 2025 pruned 2196505 relations
  111. Fri Jun 6 00:12:29 2025 memory use: 1113.4 MB
  112. Fri Jun 6 00:12:29 2025 distribution of cycle lengths:
  113. Fri Jun 6 00:12:29 2025 1 relations: 116208
  114. Fri Jun 6 00:12:29 2025 2 relations: 248237
  115. Fri Jun 6 00:12:29 2025 3 relations: 317232
  116. Fri Jun 6 00:12:29 2025 4 relations: 337236
  117. Fri Jun 6 00:12:29 2025 5 relations: 357116
  118. Fri Jun 6 00:12:29 2025 6 relations: 356407
  119. Fri Jun 6 00:12:29 2025 7 relations: 354183
  120. Fri Jun 6 00:12:29 2025 8 relations: 339079
  121. Fri Jun 6 00:12:29 2025 9 relations: 317945
  122. Fri Jun 6 00:12:29 2025 10+ relations: 1864431
  123. Fri Jun 6 00:12:29 2025 heaviest cycle: 28 relations
  124. Fri Jun 6 00:12:40 2025 RelProcTime: 1611
  125. Fri Jun 6 00:12:40 2025
  126. Fri Jun 6 00:12:40 2025 commencing linear algebra
  127. Fri Jun 6 00:12:40 2025 using VBITS=256
  128. Fri Jun 6 00:12:40 2025 stopping after matrix build
  129. Fri Jun 6 00:12:40 2025 initialized process (0,0) of 1 x 1 grid
  130. Fri Jun 6 00:12:40 2025 reversing signs of algebraic polynomial
  131. Fri Jun 6 00:12:41 2025 read 4608074 cycles
  132. Fri Jun 6 00:12:54 2025 cycles contain 15823394 unique relations
  133. Fri Jun 6 00:14:58 2025 read 15823394 relations
  134. Fri Jun 6 00:15:00 2025 using 20 quadratic characters above 4294917295
  135. Fri Jun 6 00:15:02 2025 building initial matrix
  136. Fri Jun 6 00:19:20 2025 memory use: 2170.5 MB
  137. Fri Jun 6 00:19:24 2025 read 4608074 cycles
  138. Fri Jun 6 00:19:25 2025 matrix is 4607897 x 4608074 (2316.8 MB) with weight 706359452 (153.29/col)
  139. Fri Jun 6 00:19:25 2025 sparse part has weight 552035220 (119.80/col)
  140. Fri Jun 6 00:20:36 2025 filtering completed in 2 passes
  141. Fri Jun 6 00:20:37 2025 matrix is 4607825 x 4608001 (2316.8 MB) with weight 706356046 (153.29/col)
  142. Fri Jun 6 00:20:37 2025 sparse part has weight 552034430 (119.80/col)
  143. Fri Jun 6 00:21:05 2025 BLanczosTime: 505
  144. Fri Jun 6 00:21:05 2025 elapsed time 00:35:17
  145. Fri Jun 6 00:35:19 2025
  146. Fri Jun 6 00:35:19 2025
  147. Fri Jun 6 00:35:19 2025 Msieve v. 1.54 (SVN Unversioned directory)
  148. Fri Jun 6 00:35:19 2025 random seeds: a17db078 3ce58242
  149. Fri Jun 6 00:35:19 2025 Using 96 OpenMP threads
  150. Fri Jun 6 00:35:19 2025 factoring 19077914521549692577550447222357227573671105044688024127739139534522237181931395736246633328336083098478304067379708120707308449701406093024265820804494762107387 (161 digits)
  151. Fri Jun 6 00:35:20 2025 searching for 15-digit factors
  152. Fri Jun 6 00:35:21 2025 commencing number field sieve (161-digit input)
  153. Fri Jun 6 00:35:21 2025 reversing signs of algebraic polynomial
  154. Fri Jun 6 00:35:21 2025 R0: -13324245833099848309474490557723
  155. Fri Jun 6 00:35:21 2025 R1: 387293809849811412619607
  156. Fri Jun 6 00:35:21 2025 A0: 153020487878302159819103851155350355504
  157. Fri Jun 6 00:35:21 2025 A1: 395257650006259253984407487180404
  158. Fri Jun 6 00:35:21 2025 A2: -71013002803858654600179776
  159. Fri Jun 6 00:35:21 2025 A3: -37723670602255992911
  160. Fri Jun 6 00:35:21 2025 A4: 1808506038300
  161. Fri Jun 6 00:35:21 2025 A5: 207900
  162. Fri Jun 6 00:35:21 2025 skew 6132118.30, size 1.600e-15, alpha -7.797, combined = 1.538e-12 rroots = 5
  163. Fri Jun 6 00:35:21 2025
  164. Fri Jun 6 00:35:21 2025 commencing linear algebra
  165. Fri Jun 6 00:35:21 2025 using VBITS=256
  166. Fri Jun 6 00:35:21 2025 skipping matrix build
  167. Fri Jun 6 00:35:23 2025 matrix starts at (0, 0)
  168. Fri Jun 6 00:35:24 2025 matrix is 4607825 x 4608001 (2316.8 MB) with weight 706356046 (153.29/col)
  169. Fri Jun 6 00:35:24 2025 sparse part has weight 552034430 (119.80/col)
  170. Fri Jun 6 00:35:24 2025 saving the first 240 matrix rows for later
  171. Fri Jun 6 00:35:25 2025 matrix includes 256 packed rows
  172. Fri Jun 6 00:35:26 2025 matrix is 4607585 x 4608001 (2060.7 MB) with weight 500873001 (108.70/col)
  173. Fri Jun 6 00:35:26 2025 sparse part has weight 466462816 (101.23/col)
  174. Fri Jun 6 00:35:26 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  175. Fri Jun 6 00:35:36 2025 commencing Lanczos iteration (96 threads)
  176. Fri Jun 6 00:35:36 2025 memory use: 2775.8 MB
  177. Fri Jun 6 00:36:10 2025 linear algebra at 0.7%, ETA 1h24m
  178. Fri Jun 6 00:36:56 2025 checking every 50000 dimensions, checkpointing every 3500000 dimensions
  179. Fri Jun 6 01:51:18 2025 lanczos halted after 18054 iterations (dim = 4607583)
  180. Fri Jun 6 01:51:40 2025 recovered 28 nontrivial dependencies
  181. Fri Jun 6 01:51:41 2025 BLanczosTime: 4580
  182. Fri Jun 6 01:51:41 2025
  183. Fri Jun 6 01:51:41 2025 commencing square root phase
  184. Fri Jun 6 01:51:41 2025 reversing signs of algebraic polynomial
  185. Fri Jun 6 01:51:41 2025 handling dependencies 1 to 64
  186. Fri Jun 6 01:51:41 2025 reading relations for dependency 1
  187. Fri Jun 6 01:51:41 2025 read 2303969 cycles
  188. Fri Jun 6 01:51:46 2025 cycles contain 7909506 unique relations
  189. Fri Jun 6 01:54:04 2025 read 7909506 relations
  190. Fri Jun 6 01:54:54 2025 multiplying 7909506 relations
  191. Fri Jun 6 02:01:07 2025 multiply complete, coefficients have about 427.21 million bits
  192. Fri Jun 6 02:01:10 2025 initial square root is modulo 46300811
  193. Fri Jun 6 02:06:12 2025 sqrtTime: 871
  194. Fri Jun 6 02:06:12 2025 p63 factor: 126972152181883516481521276695042505370333442264517264505736233
  195. Fri Jun 6 02:06:12 2025 p99 factor: 150252745926691033695320133840228327506260975166035726019781326895402342574293753059240270512587139
  196. Fri Jun 6 02:06:12 2025 elapsed time 01:30:53
  197.  
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