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37779_243 msieve log

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Aug 14th, 2025
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  1. Thu Aug 14 01:16:13 2025
  2. Thu Aug 14 01:16:13 2025
  3. Thu Aug 14 01:16:13 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Aug 14 01:16:13 2025 random seeds: 74352552 b659a4b3
  5. Thu Aug 14 01:16:13 2025 MPI process 0 of 1
  6. Thu Aug 14 01:16:13 2025 Using 8 OpenMP threads
  7. Thu Aug 14 01:16:13 2025 factoring 2670242248774383350501571361435590749145369830819266154521504919478609406441675029356804467645772352759398860395760137755716482172980384335198120184903039627104183 (163 digits)
  8. Thu Aug 14 01:16:14 2025 searching for 15-digit factors
  9. Thu Aug 14 01:16:14 2025 commencing number field sieve (163-digit input)
  10. Thu Aug 14 01:16:14 2025 R0: 26754028792387386166697611295700
  11. Thu Aug 14 01:16:14 2025 R1: 4138204231603199853712873
  12. Thu Aug 14 01:16:14 2025 A0: -226952919422711048618145758133705521307
  13. Thu Aug 14 01:16:14 2025 A1: 52812027047423221550801011218002
  14. Thu Aug 14 01:16:14 2025 A2: 25334993737785413086871280
  15. Thu Aug 14 01:16:14 2025 A3: -13001387836540459358
  16. Thu Aug 14 01:16:14 2025 A4: 3547520578107
  17. Thu Aug 14 01:16:14 2025 A5: 318780
  18. Thu Aug 14 01:16:14 2025 skew 1.00, size 8.702e-16, alpha -6.896, combined = 7.244e-15 rroots = 3
  19. Thu Aug 14 01:16:14 2025
  20. Thu Aug 14 01:16:14 2025 commencing relation filtering
  21. Thu Aug 14 01:16:14 2025 setting target matrix density to 130.0
  22. Thu Aug 14 01:16:14 2025 estimated available RAM is 64046.8 MB
  23. Thu Aug 14 01:16:14 2025 commencing duplicate removal, pass 1
  24. Thu Aug 14 01:19:30 2025 skipped 1 malformed relations
  25. Thu Aug 14 01:19:30 2025 found 26051792 hash collisions in 199394352 relations
  26. Thu Aug 14 01:19:45 2025 added 121898 free relations
  27. Thu Aug 14 01:19:45 2025 commencing duplicate removal, pass 2
  28. Thu Aug 14 01:20:30 2025 found 20484466 duplicates and 179031784 unique relations
  29. Thu Aug 14 01:20:30 2025 memory use: 852.8 MB
  30. Thu Aug 14 01:20:30 2025 reading ideals above 720000
  31. Thu Aug 14 01:20:30 2025 commencing singleton removal, initial pass
  32. Thu Aug 14 01:26:40 2025 memory use: 3012.0 MB
  33. Thu Aug 14 01:26:40 2025 reading all ideals from disk
  34. Thu Aug 14 01:26:42 2025 memory use: 8110.2 MB
  35. Thu Aug 14 01:26:52 2025 keeping 156824658 ideals with weight <= 200, target excess is 865394
  36. Thu Aug 14 01:27:06 2025 commencing in-memory singleton removal
  37. Thu Aug 14 01:27:11 2025 begin with 179031783 relations and 156824658 unique ideals
  38. Thu Aug 14 01:27:41 2025 reduce to 128724071 relations and 103477201 ideals in 14 passes
  39. Thu Aug 14 01:27:41 2025 max relations containing the same ideal: 169
  40. Thu Aug 14 01:28:13 2025 removing 11653959 relations and 9653959 ideals in 2000000 cliques
  41. Thu Aug 14 01:28:16 2025 commencing in-memory singleton removal
  42. Thu Aug 14 01:28:20 2025 begin with 117070112 relations and 103477201 unique ideals
  43. Thu Aug 14 01:28:34 2025 reduce to 116277709 relations and 93014882 ideals in 8 passes
  44. Thu Aug 14 01:28:34 2025 max relations containing the same ideal: 158
  45. Thu Aug 14 01:29:03 2025 removing 8846020 relations and 6846020 ideals in 2000000 cliques
  46. Thu Aug 14 01:29:06 2025 commencing in-memory singleton removal
  47. Thu Aug 14 01:29:09 2025 begin with 107431689 relations and 93014882 unique ideals
  48. Thu Aug 14 01:29:22 2025 reduce to 106895836 relations and 85623543 ideals in 8 passes
  49. Thu Aug 14 01:29:22 2025 max relations containing the same ideal: 151
  50. Thu Aug 14 01:29:48 2025 removing 8009344 relations and 6009344 ideals in 2000000 cliques
  51. Thu Aug 14 01:29:51 2025 commencing in-memory singleton removal
  52. Thu Aug 14 01:29:53 2025 begin with 98886492 relations and 85623543 unique ideals
  53. Thu Aug 14 01:30:07 2025 reduce to 98406715 relations and 79125739 ideals in 9 passes
  54. Thu Aug 14 01:30:07 2025 max relations containing the same ideal: 144
  55. Thu Aug 14 01:30:31 2025 removing 7583981 relations and 5583981 ideals in 2000000 cliques
  56. Thu Aug 14 01:30:33 2025 commencing in-memory singleton removal
  57. Thu Aug 14 01:30:36 2025 begin with 90822734 relations and 79125739 unique ideals
  58. Thu Aug 14 01:30:47 2025 reduce to 90363382 relations and 73073609 ideals in 8 passes
  59. Thu Aug 14 01:30:47 2025 max relations containing the same ideal: 134
  60. Thu Aug 14 01:31:09 2025 removing 7320557 relations and 5320557 ideals in 2000000 cliques
  61. Thu Aug 14 01:31:12 2025 commencing in-memory singleton removal
  62. Thu Aug 14 01:31:14 2025 begin with 83042825 relations and 73073609 unique ideals
  63. Thu Aug 14 01:31:24 2025 reduce to 82583068 relations and 67283947 ideals in 8 passes
  64. Thu Aug 14 01:31:24 2025 max relations containing the same ideal: 127
  65. Thu Aug 14 01:31:45 2025 removing 7159636 relations and 5159636 ideals in 2000000 cliques
  66. Thu Aug 14 01:31:47 2025 commencing in-memory singleton removal
  67. Thu Aug 14 01:31:49 2025 begin with 75423432 relations and 67283947 unique ideals
  68. Thu Aug 14 01:31:57 2025 reduce to 74948905 relations and 61639681 ideals in 7 passes
  69. Thu Aug 14 01:31:57 2025 max relations containing the same ideal: 119
  70. Thu Aug 14 01:32:16 2025 removing 7053875 relations and 5053875 ideals in 2000000 cliques
  71. Thu Aug 14 01:32:18 2025 commencing in-memory singleton removal
  72. Thu Aug 14 01:32:20 2025 begin with 67895030 relations and 61639681 unique ideals
  73. Thu Aug 14 01:32:28 2025 reduce to 67392588 relations and 56071304 ideals in 9 passes
  74. Thu Aug 14 01:32:28 2025 max relations containing the same ideal: 111
  75. Thu Aug 14 01:32:46 2025 removing 6993854 relations and 4993854 ideals in 2000000 cliques
  76. Thu Aug 14 01:32:48 2025 commencing in-memory singleton removal
  77. Thu Aug 14 01:32:49 2025 begin with 60398734 relations and 56071304 unique ideals
  78. Thu Aug 14 01:32:56 2025 reduce to 59853847 relations and 50518369 ideals in 8 passes
  79. Thu Aug 14 01:32:56 2025 max relations containing the same ideal: 99
  80. Thu Aug 14 01:33:12 2025 removing 6980347 relations and 4980347 ideals in 2000000 cliques
  81. Thu Aug 14 01:33:14 2025 commencing in-memory singleton removal
  82. Thu Aug 14 01:33:15 2025 begin with 52873500 relations and 50518369 unique ideals
  83. Thu Aug 14 01:33:21 2025 reduce to 52265174 relations and 44912080 ideals in 8 passes
  84. Thu Aug 14 01:33:21 2025 max relations containing the same ideal: 92
  85. Thu Aug 14 01:33:35 2025 removing 7004207 relations and 5004207 ideals in 2000000 cliques
  86. Thu Aug 14 01:33:37 2025 commencing in-memory singleton removal
  87. Thu Aug 14 01:33:38 2025 begin with 45260967 relations and 44912080 unique ideals
  88. Thu Aug 14 01:33:43 2025 reduce to 44552826 relations and 39176216 ideals in 8 passes
  89. Thu Aug 14 01:33:43 2025 max relations containing the same ideal: 83
  90. Thu Aug 14 01:33:55 2025 removing 7075497 relations and 5075497 ideals in 2000000 cliques
  91. Thu Aug 14 01:33:57 2025 commencing in-memory singleton removal
  92. Thu Aug 14 01:33:58 2025 begin with 37477329 relations and 39176216 unique ideals
  93. Thu Aug 14 01:34:03 2025 reduce to 36619959 relations and 33209784 ideals in 10 passes
  94. Thu Aug 14 01:34:03 2025 max relations containing the same ideal: 72
  95. Thu Aug 14 01:34:13 2025 removing 7198052 relations and 5198052 ideals in 2000000 cliques
  96. Thu Aug 14 01:34:14 2025 commencing in-memory singleton removal
  97. Thu Aug 14 01:34:15 2025 begin with 29421907 relations and 33209784 unique ideals
  98. Thu Aug 14 01:34:19 2025 reduce to 28300517 relations and 26836564 ideals in 10 passes
  99. Thu Aug 14 01:34:19 2025 max relations containing the same ideal: 64
  100. Thu Aug 14 01:34:27 2025 removing 2412894 relations and 1952799 ideals in 460095 cliques
  101. Thu Aug 14 01:34:28 2025 commencing in-memory singleton removal
  102. Thu Aug 14 01:34:29 2025 begin with 25887623 relations and 26836564 unique ideals
  103. Thu Aug 14 01:34:31 2025 reduce to 25737505 relations and 24731476 ideals in 8 passes
  104. Thu Aug 14 01:34:31 2025 max relations containing the same ideal: 59
  105. Thu Aug 14 01:34:41 2025 relations with 0 large ideals: 3137
  106. Thu Aug 14 01:34:41 2025 relations with 1 large ideals: 25276
  107. Thu Aug 14 01:34:41 2025 relations with 2 large ideals: 326333
  108. Thu Aug 14 01:34:41 2025 relations with 3 large ideals: 1698584
  109. Thu Aug 14 01:34:41 2025 relations with 4 large ideals: 4602112
  110. Thu Aug 14 01:34:41 2025 relations with 5 large ideals: 7166772
  111. Thu Aug 14 01:34:41 2025 relations with 6 large ideals: 6705804
  112. Thu Aug 14 01:34:41 2025 relations with 7+ large ideals: 5209487
  113. Thu Aug 14 01:34:41 2025 commencing 2-way merge
  114. Thu Aug 14 01:34:50 2025 reduce to 15250072 relation sets and 14244043 unique ideals
  115. Thu Aug 14 01:34:50 2025 commencing full merge
  116. Thu Aug 14 01:38:09 2025 memory use: 1783.1 MB
  117. Thu Aug 14 01:38:10 2025 found 6557768 cycles, need 6532243
  118. Thu Aug 14 01:38:11 2025 weight of 6532243 cycles is about 849585711 (130.06/cycle)
  119. Thu Aug 14 01:38:11 2025 distribution of cycle lengths:
  120. Thu Aug 14 01:38:11 2025 1 relations: 374812
  121. Thu Aug 14 01:38:11 2025 2 relations: 402810
  122. Thu Aug 14 01:38:11 2025 3 relations: 417782
  123. Thu Aug 14 01:38:11 2025 4 relations: 410271
  124. Thu Aug 14 01:38:11 2025 5 relations: 414593
  125. Thu Aug 14 01:38:11 2025 6 relations: 412187
  126. Thu Aug 14 01:38:11 2025 7 relations: 404719
  127. Thu Aug 14 01:38:11 2025 8 relations: 396568
  128. Thu Aug 14 01:38:11 2025 9 relations: 380200
  129. Thu Aug 14 01:38:11 2025 10+ relations: 2918301
  130. Thu Aug 14 01:38:11 2025 heaviest cycle: 28 relations
  131. Thu Aug 14 01:38:12 2025 commencing cycle optimization
  132. Thu Aug 14 01:38:21 2025 start with 62274792 relations
  133. Thu Aug 14 01:39:44 2025 pruned 2686385 relations
  134. Thu Aug 14 01:39:44 2025 memory use: 1677.3 MB
  135. Thu Aug 14 01:39:44 2025 distribution of cycle lengths:
  136. Thu Aug 14 01:39:44 2025 1 relations: 374812
  137. Thu Aug 14 01:39:44 2025 2 relations: 412673
  138. Thu Aug 14 01:39:44 2025 3 relations: 434023
  139. Thu Aug 14 01:39:44 2025 4 relations: 425414
  140. Thu Aug 14 01:39:44 2025 5 relations: 432867
  141. Thu Aug 14 01:39:44 2025 6 relations: 430074
  142. Thu Aug 14 01:39:44 2025 7 relations: 424612
  143. Thu Aug 14 01:39:44 2025 8 relations: 414635
  144. Thu Aug 14 01:39:44 2025 9 relations: 398141
  145. Thu Aug 14 01:39:44 2025 10+ relations: 2784992
  146. Thu Aug 14 01:39:44 2025 heaviest cycle: 28 relations
  147. Thu Aug 14 01:39:50 2025 RelProcTime: 1416
  148. Thu Aug 14 01:39:50 2025
  149. Thu Aug 14 01:39:50 2025 commencing linear algebra
  150. Thu Aug 14 01:39:50 2025 using VBITS=256
  151. Thu Aug 14 01:39:50 2025 initialized process (0,0) of 1 x 1 grid
  152. Thu Aug 14 01:39:50 2025 read 6532243 cycles
  153. Thu Aug 14 01:39:58 2025 cycles contain 25048473 unique relations
  154. Thu Aug 14 01:40:23 2025 read 25048473 relations
  155. Thu Aug 14 01:40:32 2025 using 20 quadratic characters above 4294917295
  156. Thu Aug 14 01:40:44 2025 building initial matrix
  157. Thu Aug 14 01:44:10 2025 memory use: 3322.9 MB
  158. Thu Aug 14 01:44:13 2025 read 6532243 cycles
  159. Thu Aug 14 01:44:13 2025 matrix is 6532065 x 6532243 (3272.6 MB) with weight 993514783 (152.09/col)
  160. Thu Aug 14 01:44:13 2025 sparse part has weight 786040791 (120.33/col)
  161. Thu Aug 14 01:45:03 2025 filtering completed in 2 passes
  162. Thu Aug 14 01:45:04 2025 matrix is 6531835 x 6532013 (3272.6 MB) with weight 993503144 (152.10/col)
  163. Thu Aug 14 01:45:04 2025 sparse part has weight 786036988 (120.34/col)
  164. Thu Aug 14 01:45:34 2025 matrix starts at (0, 0)
  165. Thu Aug 14 01:45:34 2025 matrix is 6531835 x 6532013 (3272.6 MB) with weight 993503144 (152.10/col)
  166. Thu Aug 14 01:45:34 2025 sparse part has weight 786036988 (120.34/col)
  167. Thu Aug 14 01:45:34 2025 saving the first 240 matrix rows for later
  168. Thu Aug 14 01:45:35 2025 matrix includes 256 packed rows
  169. Thu Aug 14 01:45:36 2025 matrix is 6531595 x 6532013 (2952.7 MB) with weight 714595910 (109.40/col)
  170. Thu Aug 14 01:45:36 2025 sparse part has weight 669513599 (102.50/col)
  171. Thu Aug 14 01:45:36 2025 using block size 8192 and superblock size 294912 for processor cache size 12288 kB
  172. Thu Aug 14 01:45:48 2025 commencing Lanczos iteration (8 threads)
  173. Thu Aug 14 01:45:48 2025 memory use: 4159.9 MB
  174. Thu Aug 14 01:50:05 2025 linear algebra at 0.5%, ETA 15h 1m
  175. Thu Aug 14 01:56:28 2025 checking every 10000 dimensions, checkpointing every 440000 dimensions
  176. Thu Aug 14 16:52:57 2025 lanczos halted after 25591 iterations (dim = 6531594)
  177. Thu Aug 14 16:53:17 2025 recovered 29 nontrivial dependencies
  178. Thu Aug 14 16:53:17 2025 BLanczosTime: 54807
  179. Thu Aug 14 16:53:17 2025
  180. Thu Aug 14 16:53:17 2025 commencing square root phase
  181. Thu Aug 14 16:53:17 2025 handling dependencies 1 to 64
  182. Thu Aug 14 16:53:17 2025 reading relations for dependency 1
  183. Thu Aug 14 16:53:18 2025 read 3266317 cycles
  184. Thu Aug 14 16:53:22 2025 cycles contain 12526798 unique relations
  185. Thu Aug 14 16:53:40 2025 read 12526798 relations
  186. Thu Aug 14 16:54:11 2025 multiplying 12526798 relations
  187. Thu Aug 14 16:56:03 2025 multiply complete, coefficients have about 683.07 million bits
  188. Thu Aug 14 16:56:04 2025 initial square root is modulo 1343477
  189. Thu Aug 14 16:58:55 2025 sqrtTime: 338
  190. Thu Aug 14 16:58:55 2025 p81 factor: 118070323414796062812569061414330502009175132980104900064585066088639226695639351
  191. Thu Aug 14 16:58:55 2025 p83 factor: 22615693525234810431224631342906468228232091273844781764939021113909495087806645633
  192. Thu Aug 14 16:58:55 2025 elapsed time 15:42:42
  193.  
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