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May 23rd, 2025
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  1. Fri May 23 11:58:56 2025
  2. Fri May 23 11:58:56 2025
  3. Fri May 23 11:58:56 2025 Msieve v. 1.54 (SVN unknown)
  4. Fri May 23 11:58:56 2025 random seeds: a16072f5 2125bf4d
  5. Fri May 23 11:58:56 2025 factoring 1371320258487324983365758531331638387501342421736844816755958486468621825674587692154625879022895321856597998479544981608355223551746523393519088694383198516296603 (163 digits)
  6. Fri May 23 11:58:57 2025 no P-1/P+1/ECM available, skipping
  7. Fri May 23 11:58:57 2025 commencing number field sieve (163-digit input)
  8. Fri May 23 11:58:57 2025 R0: 722174057320190554936568271924583129
  9. Fri May 23 11:58:57 2025 R1: -1
  10. Fri May 23 11:58:57 2025 A0: -1
  11. Fri May 23 11:58:57 2025 A1: 0
  12. Fri May 23 11:58:57 2025 A2: 0
  13. Fri May 23 11:58:57 2025 A3: 0
  14. Fri May 23 11:58:57 2025 A4: 0
  15. Fri May 23 11:58:57 2025 A5: 0
  16. Fri May 23 11:58:57 2025 A6: 947197
  17. Fri May 23 11:58:57 2025 skew 0.13, size 2.482e-11, alpha 0.054, combined = 1.257e-12 rroots = 2
  18. Fri May 23 11:58:57 2025
  19. Fri May 23 11:58:57 2025 commencing relation filtering
  20. Fri May 23 11:58:57 2025 setting target matrix density to 108.0
  21. Fri May 23 11:58:57 2025 estimated available RAM is 15954.4 MB
  22. Fri May 23 11:58:57 2025 commencing duplicate removal, pass 1
  23. Fri May 23 11:59:19 2025 error -1 reading relation 2244017
  24. Fri May 23 12:06:24 2025 error -15 reading relation 44037125
  25. Fri May 23 12:15:20 2025 error -15 reading relation 89250865
  26. Fri May 23 12:17:47 2025 skipped 208 relations with b > 2^32
  27. Fri May 23 12:17:47 2025 skipped 3 relations with composite factors
  28. Fri May 23 12:17:47 2025 found 4300128 hash collisions in 99030675 relations
  29. Fri May 23 12:18:06 2025 commencing duplicate removal, pass 2
  30. Fri May 23 12:19:02 2025 found 0 duplicates and 99030675 unique relations
  31. Fri May 23 12:19:02 2025 memory use: 261.2 MB
  32. Fri May 23 12:19:02 2025 reading ideals above 65994752
  33. Fri May 23 12:19:02 2025 commencing singleton removal, initial pass
  34. Fri May 23 12:32:32 2025 memory use: 2756.0 MB
  35. Fri May 23 12:32:32 2025 reading all ideals from disk
  36. Fri May 23 12:32:36 2025 memory use: 1758.8 MB
  37. Fri May 23 12:32:45 2025 commencing in-memory singleton removal
  38. Fri May 23 12:32:53 2025 begin with 99030675 relations and 83297021 unique ideals
  39. Fri May 23 12:34:13 2025 reduce to 64368611 relations and 45075094 ideals in 14 passes
  40. Fri May 23 12:34:13 2025 max relations containing the same ideal: 42
  41. Fri May 23 12:34:20 2025 reading ideals above 720000
  42. Fri May 23 12:34:21 2025 commencing singleton removal, initial pass
  43. Fri May 23 12:47:09 2025 memory use: 1378.0 MB
  44. Fri May 23 12:47:09 2025 reading all ideals from disk
  45. Fri May 23 12:47:15 2025 memory use: 2395.9 MB
  46. Fri May 23 12:47:28 2025 keeping 52543839 ideals with weight <= 200, target excess is 320891
  47. Fri May 23 12:47:41 2025 commencing in-memory singleton removal
  48. Fri May 23 12:47:50 2025 begin with 64368611 relations and 52543839 unique ideals
  49. Fri May 23 12:48:41 2025 reduce to 64368500 relations and 52543728 ideals in 6 passes
  50. Fri May 23 12:48:41 2025 max relations containing the same ideal: 200
  51. Fri May 23 12:49:39 2025 removing 8902531 relations and 6902531 ideals in 2000000 cliques
  52. Fri May 23 12:49:43 2025 commencing in-memory singleton removal
  53. Fri May 23 12:49:52 2025 begin with 55465969 relations and 52543728 unique ideals
  54. Fri May 23 12:50:48 2025 reduce to 54393656 relations and 44526268 ideals in 8 passes
  55. Fri May 23 12:50:48 2025 max relations containing the same ideal: 190
  56. Fri May 23 12:51:34 2025 removing 7157018 relations and 5157018 ideals in 2000000 cliques
  57. Fri May 23 12:51:38 2025 commencing in-memory singleton removal
  58. Fri May 23 12:51:44 2025 begin with 47236638 relations and 44526268 unique ideals
  59. Fri May 23 12:52:28 2025 reduce to 46457892 relations and 38561114 ideals in 8 passes
  60. Fri May 23 12:52:28 2025 max relations containing the same ideal: 172
  61. Fri May 23 12:53:04 2025 removing 6669938 relations and 4669938 ideals in 2000000 cliques
  62. Fri May 23 12:53:07 2025 commencing in-memory singleton removal
  63. Fri May 23 12:53:14 2025 begin with 39787954 relations and 38561114 unique ideals
  64. Fri May 23 12:53:57 2025 reduce to 39038276 relations and 33111093 ideals in 9 passes
  65. Fri May 23 12:53:57 2025 max relations containing the same ideal: 154
  66. Fri May 23 12:54:28 2025 removing 6440998 relations and 4440998 ideals in 2000000 cliques
  67. Fri May 23 12:54:32 2025 commencing in-memory singleton removal
  68. Fri May 23 12:54:36 2025 begin with 32597278 relations and 33111093 unique ideals
  69. Fri May 23 12:55:04 2025 reduce to 31806047 relations and 27841468 ideals in 8 passes
  70. Fri May 23 12:55:04 2025 max relations containing the same ideal: 133
  71. Fri May 23 12:55:29 2025 removing 6321058 relations and 4321058 ideals in 2000000 cliques
  72. Fri May 23 12:55:33 2025 commencing in-memory singleton removal
  73. Fri May 23 12:55:36 2025 begin with 25484989 relations and 27841468 unique ideals
  74. Fri May 23 12:56:05 2025 reduce to 24590409 relations and 22574665 ideals in 11 passes
  75. Fri May 23 12:56:05 2025 max relations containing the same ideal: 116
  76. Fri May 23 12:56:24 2025 removing 5333910 relations and 3690400 ideals in 1643510 cliques
  77. Fri May 23 12:56:28 2025 commencing in-memory singleton removal
  78. Fri May 23 12:56:30 2025 begin with 19256499 relations and 22574665 unique ideals
  79. Fri May 23 12:56:51 2025 reduce to 18448408 relations and 18026424 ideals in 10 passes
  80. Fri May 23 12:56:51 2025 max relations containing the same ideal: 91
  81. Fri May 23 12:57:09 2025 removing 322805 relations and 273055 ideals in 49750 cliques
  82. Fri May 23 12:57:10 2025 commencing in-memory singleton removal
  83. Fri May 23 12:57:12 2025 begin with 18125603 relations and 18026424 unique ideals
  84. Fri May 23 12:57:22 2025 reduce to 18121631 relations and 17749388 ideals in 5 passes
  85. Fri May 23 12:57:22 2025 max relations containing the same ideal: 89
  86. Fri May 23 12:57:28 2025 relations with 0 large ideals: 11219
  87. Fri May 23 12:57:28 2025 relations with 1 large ideals: 5296
  88. Fri May 23 12:57:28 2025 relations with 2 large ideals: 45376
  89. Fri May 23 12:57:28 2025 relations with 3 large ideals: 336253
  90. Fri May 23 12:57:28 2025 relations with 4 large ideals: 1343759
  91. Fri May 23 12:57:28 2025 relations with 5 large ideals: 3199628
  92. Fri May 23 12:57:28 2025 relations with 6 large ideals: 4742169
  93. Fri May 23 12:57:28 2025 relations with 7+ large ideals: 8437931
  94. Fri May 23 12:57:28 2025 commencing 2-way merge
  95. Fri May 23 12:57:47 2025 reduce to 11757011 relation sets and 11384768 unique ideals
  96. Fri May 23 12:57:47 2025 commencing full merge
  97. Fri May 23 13:05:52 2025 memory use: 1559.8 MB
  98. Fri May 23 13:05:54 2025 found 5527969 cycles, need 5504968
  99. Fri May 23 13:05:57 2025 weight of 5504968 cycles is about 595128605 (108.11/cycle)
  100. Fri May 23 13:05:57 2025 distribution of cycle lengths:
  101. Fri May 23 13:05:57 2025 1 relations: 276528
  102. Fri May 23 13:05:57 2025 2 relations: 393856
  103. Fri May 23 13:05:57 2025 3 relations: 446860
  104. Fri May 23 13:05:57 2025 4 relations: 452728
  105. Fri May 23 13:05:57 2025 5 relations: 452734
  106. Fri May 23 13:05:57 2025 6 relations: 438039
  107. Fri May 23 13:05:57 2025 7 relations: 416086
  108. Fri May 23 13:05:57 2025 8 relations: 386873
  109. Fri May 23 13:05:57 2025 9 relations: 352228
  110. Fri May 23 13:05:57 2025 10+ relations: 1889036
  111. Fri May 23 13:05:57 2025 heaviest cycle: 28 relations
  112. Fri May 23 13:06:01 2025 commencing cycle optimization
  113. Fri May 23 13:06:18 2025 start with 44883564 relations
  114. Fri May 23 13:09:18 2025 pruned 1917599 relations
  115. Fri May 23 13:09:18 2025 memory use: 1216.8 MB
  116. Fri May 23 13:09:18 2025 distribution of cycle lengths:
  117. Fri May 23 13:09:18 2025 1 relations: 276528
  118. Fri May 23 13:09:18 2025 2 relations: 403648
  119. Fri May 23 13:09:18 2025 3 relations: 465825
  120. Fri May 23 13:09:18 2025 4 relations: 471104
  121. Fri May 23 13:09:18 2025 5 relations: 474150
  122. Fri May 23 13:09:18 2025 6 relations: 457151
  123. Fri May 23 13:09:18 2025 7 relations: 434838
  124. Fri May 23 13:09:18 2025 8 relations: 401685
  125. Fri May 23 13:09:18 2025 9 relations: 364350
  126. Fri May 23 13:09:18 2025 10+ relations: 1755689
  127. Fri May 23 13:09:18 2025 heaviest cycle: 28 relations
  128. Fri May 23 13:09:44 2025 RelProcTime: 4247
  129. Fri May 23 13:09:44 2025 elapsed time 01:10:48
  130. Fri May 23 13:55:16 2025
  131. Fri May 23 13:55:16 2025
  132. Fri May 23 13:55:16 2025 Msieve v. 1.54 (SVN unknown)
  133. Fri May 23 13:55:16 2025 random seeds: 01f1cc39 1f54d76a
  134. Fri May 23 13:55:16 2025 factoring 1371320258487324983365758531331638387501342421736844816755958486468621825674587692154625879022895321856597998479544981608355223551746523393519088694383198516296603 (163 digits)
  135. Fri May 23 13:55:17 2025 no P-1/P+1/ECM available, skipping
  136. Fri May 23 13:55:17 2025 commencing number field sieve (163-digit input)
  137. Fri May 23 13:55:17 2025 R0: 722174057320190554936568271924583129
  138. Fri May 23 13:55:17 2025 R1: -1
  139. Fri May 23 13:55:17 2025 A0: -1
  140. Fri May 23 13:55:17 2025 A1: 0
  141. Fri May 23 13:55:17 2025 A2: 0
  142. Fri May 23 13:55:17 2025 A3: 0
  143. Fri May 23 13:55:17 2025 A4: 0
  144. Fri May 23 13:55:17 2025 A5: 0
  145. Fri May 23 13:55:17 2025 A6: 947197
  146. Fri May 23 13:55:17 2025 skew 0.13, size 2.482e-11, alpha 0.054, combined = 1.257e-12 rroots = 2
  147. Fri May 23 13:55:17 2025
  148. Fri May 23 13:55:17 2025 commencing linear algebra
  149. Fri May 23 13:55:17 2025 using VBITS=512
  150. Fri May 23 13:55:19 2025 read 5504737 cycles
  151. Fri May 23 13:55:42 2025 cycles contain 17908346 unique relations
  152. Fri May 23 13:57:51 2025 read 17908346 relations
  153. Fri May 23 13:58:41 2025 using 20 quadratic characters above 4294917295
  154. Fri May 23 14:00:47 2025 building initial matrix
  155. Fri May 23 14:07:42 2025 memory use: 2262.8 MB
  156. Fri May 23 14:07:46 2025 read 5504737 cycles
  157. Fri May 23 14:07:47 2025 matrix is 5504579 x 5504737 (2351.4 MB) with weight 674254580 (122.49/col)
  158. Fri May 23 14:07:47 2025 sparse part has weight 561362149 (101.98/col)
  159. Fri May 23 14:08:55 2025 filtering completed in 1 passes
  160. Fri May 23 14:08:57 2025 matrix is 5504579 x 5504737 (2351.4 MB) with weight 674254580 (122.49/col)
  161. Fri May 23 14:08:57 2025 sparse part has weight 561362149 (101.98/col)
  162. Fri May 23 14:09:17 2025 matrix starts at (0, 0)
  163. Fri May 23 14:09:18 2025 matrix is 5504579 x 5504737 (2351.4 MB) with weight 674254580 (122.49/col)
  164. Fri May 23 14:09:18 2025 sparse part has weight 561362149 (101.98/col)
  165. Fri May 23 14:09:18 2025 saving the first 496 matrix rows for later
  166. Fri May 23 14:09:21 2025 matrix includes 512 packed rows
  167. Fri May 23 14:09:27 2025 matrix is 5504083 x 5504737 (2197.6 MB) with weight 471863325 (85.72/col)
  168. Fri May 23 14:09:27 2025 sparse part has weight 443972645 (80.65/col)
  169. Fri May 23 14:09:28 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  170. Fri May 23 14:09:28 2025 selected card has CUDA arch 8.6
  171. Fri May 23 14:10:35 2025 commencing Lanczos iteration
  172. Fri May 23 14:10:36 2025 memory use: 6159.1 MB
  173. Fri May 23 14:10:56 2025 linear algebra at 0.3%, ETA 1h53m
  174. Fri May 23 14:10:57 2025 checkpointing every 2860000 dimensions
  175. Fri May 23 16:17:24 2025 lanczos halted after 10768 iterations (dim = 5504079)
  176. Fri May 23 16:20:13 2025 recovered 34 nontrivial dependencies
  177. Fri May 23 16:20:14 2025 BLanczosTime: 8697
  178. Fri May 23 16:20:14 2025
  179. Fri May 23 16:20:14 2025 commencing square root phase
  180. Fri May 23 16:20:14 2025 handling dependencies 1 to 64
  181. Fri May 23 16:20:14 2025 reading relations for dependency 1
  182. Fri May 23 16:20:22 2025 read 2749968 cycles
  183. Fri May 23 16:20:33 2025 cycles contain 8950956 unique relations
  184. Fri May 23 16:21:46 2025 read 8950956 relations
  185. Fri May 23 16:23:06 2025 multiplying 8950956 relations
  186. Fri May 23 16:36:54 2025 multiply complete, coefficients have about 380.63 million bits
  187. Fri May 23 16:36:56 2025 initial square root is modulo 6757843
  188. Fri May 23 16:48:38 2025 sqrtTime: 1704
  189. Fri May 23 16:48:38 2025 p67 factor: 6292298205041925895349530461027426435281464003240136369909956838387
  190. Fri May 23 16:48:38 2025 p96 factor: 217936310995004377482157054414441987111307189956991506188327169237305539508626575727575118371769
  191. Fri May 23 16:48:38 2025 elapsed time 02:53:22
  192.  
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