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Mar 31st, 2025
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  1. Mon Mar 31 11:30:45 2025 Msieve v. 1.54 (SVN 03e8738)
  2. Mon Mar 31 11:30:45 2025 random seeds: ac6c0906 e907b25f
  3. Mon Mar 31 11:30:45 2025 Using 16 OpenMP threads
  4. Mon Mar 31 11:30:45 2025 factoring 15016127320742477420749885376894784999089021609208272980401513148899129286500782143260118772581251607672277764209434930249437306946207389061624121228029518143979463 (164 digits)
  5. Mon Mar 31 11:30:45 2025 no P-1/P+1/ECM available, skipping
  6. Mon Mar 31 11:30:45 2025 commencing number field sieve (164-digit input)
  7. Mon Mar 31 11:30:45 2025 R0: -103570832390390237370522151859728
  8. Mon Mar 31 11:30:45 2025 R1: 28526534112500671
  9. Mon Mar 31 11:30:45 2025 A0: -32031139512672982546565938607660655858899175
  10. Mon Mar 31 11:30:45 2025 A1: -554095856639792368267518063064779198
  11. Mon Mar 31 11:30:45 2025 A2: 12022966762891519350908451286
  12. Mon Mar 31 11:30:45 2025 A3: -38839124481773224166
  13. Mon Mar 31 11:30:45 2025 A4: 670078763145
  14. Mon Mar 31 11:30:45 2025 A5: 1260
  15. Mon Mar 31 11:30:45 2025 skew 160483759.51, size 4.948e-16, alpha -8.293, combined = 7.275e-13 rroots = 3
  16. Mon Mar 31 11:30:45 2025
  17. Mon Mar 31 11:30:45 2025 commencing relation filtering
  18. Mon Mar 31 11:30:45 2025 setting target matrix density to 120.0
  19. Mon Mar 31 11:30:45 2025 estimated available RAM is 128734.6 MB
  20. Mon Mar 31 11:30:45 2025 commencing duplicate removal, pass 1
  21. Mon Mar 31 11:31:45 2025 found 3837214 hash collisions in 130992445 relations
  22. Mon Mar 31 11:31:58 2025 added 122566 free relations
  23. Mon Mar 31 11:31:58 2025 commencing duplicate removal, pass 2
  24. Mon Mar 31 11:32:22 2025 found 0 duplicates and 131115011 unique relations
  25. Mon Mar 31 11:32:22 2025 memory use: 405.2 MB
  26. Mon Mar 31 11:32:22 2025 reading ideals above 720000
  27. Mon Mar 31 11:32:22 2025 commencing singleton removal, initial pass
  28. Mon Mar 31 11:35:28 2025 memory use: 3012.0 MB
  29. Mon Mar 31 11:35:28 2025 reading all ideals from disk
  30. Mon Mar 31 11:35:29 2025 memory use: 5987.3 MB
  31. Mon Mar 31 11:35:34 2025 keeping 114814696 ideals with weight <= 200, target excess is 649631
  32. Mon Mar 31 11:35:40 2025 commencing in-memory singleton removal
  33. Mon Mar 31 11:35:42 2025 begin with 131115011 relations and 114814696 unique ideals
  34. Mon Mar 31 11:35:56 2025 reduce to 105217745 relations and 87814401 ideals in 14 passes
  35. Mon Mar 31 11:35:56 2025 max relations containing the same ideal: 187
  36. Mon Mar 31 11:36:14 2025 removing 11116225 relations and 9116225 ideals in 2000000 cliques
  37. Mon Mar 31 11:36:17 2025 commencing in-memory singleton removal
  38. Mon Mar 31 11:36:18 2025 begin with 94101520 relations and 87814401 unique ideals
  39. Mon Mar 31 11:36:25 2025 reduce to 93142242 relations and 77715328 ideals in 8 passes
  40. Mon Mar 31 11:36:25 2025 max relations containing the same ideal: 171
  41. Mon Mar 31 11:36:41 2025 removing 8577985 relations and 6577985 ideals in 2000000 cliques
  42. Mon Mar 31 11:36:43 2025 commencing in-memory singleton removal
  43. Mon Mar 31 11:36:44 2025 begin with 84564257 relations and 77715328 unique ideals
  44. Mon Mar 31 11:36:50 2025 reduce to 83898664 relations and 70457445 ideals in 8 passes
  45. Mon Mar 31 11:36:50 2025 max relations containing the same ideal: 162
  46. Mon Mar 31 11:37:05 2025 removing 7849237 relations and 5849237 ideals in 2000000 cliques
  47. Mon Mar 31 11:37:07 2025 commencing in-memory singleton removal
  48. Mon Mar 31 11:37:08 2025 begin with 76049427 relations and 70457445 unique ideals
  49. Mon Mar 31 11:37:13 2025 reduce to 75433729 relations and 63978580 ideals in 9 passes
  50. Mon Mar 31 11:37:13 2025 max relations containing the same ideal: 151
  51. Mon Mar 31 11:37:27 2025 removing 7505864 relations and 5505864 ideals in 2000000 cliques
  52. Mon Mar 31 11:37:29 2025 commencing in-memory singleton removal
  53. Mon Mar 31 11:37:30 2025 begin with 67927865 relations and 63978580 unique ideals
  54. Mon Mar 31 11:37:34 2025 reduce to 67310626 relations and 57840691 ideals in 7 passes
  55. Mon Mar 31 11:37:34 2025 max relations containing the same ideal: 141
  56. Mon Mar 31 11:37:46 2025 removing 7329491 relations and 5329491 ideals in 2000000 cliques
  57. Mon Mar 31 11:37:48 2025 commencing in-memory singleton removal
  58. Mon Mar 31 11:37:49 2025 begin with 59981135 relations and 57840691 unique ideals
  59. Mon Mar 31 11:37:53 2025 reduce to 59330763 relations and 51843491 ideals in 8 passes
  60. Mon Mar 31 11:37:53 2025 max relations containing the same ideal: 129
  61. Mon Mar 31 11:38:04 2025 removing 7254143 relations and 5254143 ideals in 2000000 cliques
  62. Mon Mar 31 11:38:05 2025 commencing in-memory singleton removal
  63. Mon Mar 31 11:38:06 2025 begin with 52076620 relations and 51843491 unique ideals
  64. Mon Mar 31 11:38:10 2025 reduce to 51357014 relations and 45848244 ideals in 9 passes
  65. Mon Mar 31 11:38:10 2025 max relations containing the same ideal: 118
  66. Mon Mar 31 11:38:20 2025 removing 7256492 relations and 5256492 ideals in 2000000 cliques
  67. Mon Mar 31 11:38:21 2025 commencing in-memory singleton removal
  68. Mon Mar 31 11:38:22 2025 begin with 44100522 relations and 45848244 unique ideals
  69. Mon Mar 31 11:38:24 2025 reduce to 43261984 relations and 39724770 ideals in 8 passes
  70. Mon Mar 31 11:38:24 2025 max relations containing the same ideal: 103
  71. Mon Mar 31 11:38:33 2025 removing 7333913 relations and 5333913 ideals in 2000000 cliques
  72. Mon Mar 31 11:38:34 2025 commencing in-memory singleton removal
  73. Mon Mar 31 11:38:35 2025 begin with 35928071 relations and 39724770 unique ideals
  74. Mon Mar 31 11:38:38 2025 reduce to 34896650 relations and 33317352 ideals in 12 passes
  75. Mon Mar 31 11:38:38 2025 max relations containing the same ideal: 88
  76. Mon Mar 31 11:38:45 2025 removing 3827619 relations and 3001893 ideals in 825726 cliques
  77. Mon Mar 31 11:38:46 2025 commencing in-memory singleton removal
  78. Mon Mar 31 11:38:46 2025 begin with 31069031 relations and 33317352 unique ideals
  79. Mon Mar 31 11:38:48 2025 reduce to 30742143 relations and 29981792 ideals in 8 passes
  80. Mon Mar 31 11:38:48 2025 max relations containing the same ideal: 81
  81. Mon Mar 31 11:38:57 2025 relations with 0 large ideals: 2333
  82. Mon Mar 31 11:38:57 2025 relations with 1 large ideals: 11979
  83. Mon Mar 31 11:38:57 2025 relations with 2 large ideals: 176741
  84. Mon Mar 31 11:38:57 2025 relations with 3 large ideals: 1106749
  85. Mon Mar 31 11:38:57 2025 relations with 4 large ideals: 3693579
  86. Mon Mar 31 11:38:57 2025 relations with 5 large ideals: 7216174
  87. Mon Mar 31 11:38:57 2025 relations with 6 large ideals: 8653004
  88. Mon Mar 31 11:38:57 2025 relations with 7+ large ideals: 9881584
  89. Mon Mar 31 11:38:57 2025 commencing 2-way merge
  90. Mon Mar 31 11:39:06 2025 reduce to 18797639 relation sets and 18037288 unique ideals
  91. Mon Mar 31 11:39:06 2025 commencing full merge
  92. Mon Mar 31 11:42:47 2025 memory use: 2204.2 MB
  93. Mon Mar 31 11:42:48 2025 found 8219516 cycles, need 8197488
  94. Mon Mar 31 11:42:50 2025 weight of 8197488 cycles is about 984427217 (120.09/cycle)
  95. Mon Mar 31 11:42:50 2025 distribution of cycle lengths:
  96. Mon Mar 31 11:42:50 2025 1 relations: 514344
  97. Mon Mar 31 11:42:50 2025 2 relations: 556682
  98. Mon Mar 31 11:42:50 2025 3 relations: 583693
  99. Mon Mar 31 11:42:50 2025 4 relations: 570377
  100. Mon Mar 31 11:42:50 2025 5 relations: 573660
  101. Mon Mar 31 11:42:50 2025 6 relations: 555390
  102. Mon Mar 31 11:42:50 2025 7 relations: 544292
  103. Mon Mar 31 11:42:50 2025 8 relations: 518118
  104. Mon Mar 31 11:42:50 2025 9 relations: 493163
  105. Mon Mar 31 11:42:50 2025 10+ relations: 3287769
  106. Mon Mar 31 11:42:50 2025 heaviest cycle: 28 relations
  107. Mon Mar 31 11:42:51 2025 commencing cycle optimization
  108. Mon Mar 31 11:43:01 2025 start with 72629052 relations
  109. Mon Mar 31 11:44:28 2025 pruned 2980607 relations
  110. Mon Mar 31 11:44:29 2025 memory use: 1997.4 MB
  111. Mon Mar 31 11:44:29 2025 distribution of cycle lengths:
  112. Mon Mar 31 11:44:29 2025 1 relations: 514344
  113. Mon Mar 31 11:44:29 2025 2 relations: 570757
  114. Mon Mar 31 11:44:29 2025 3 relations: 606697
  115. Mon Mar 31 11:44:29 2025 4 relations: 591376
  116. Mon Mar 31 11:44:29 2025 5 relations: 598004
  117. Mon Mar 31 11:44:29 2025 6 relations: 578558
  118. Mon Mar 31 11:44:29 2025 7 relations: 568248
  119. Mon Mar 31 11:44:29 2025 8 relations: 539370
  120. Mon Mar 31 11:44:29 2025 9 relations: 512192
  121. Mon Mar 31 11:44:29 2025 10+ relations: 3117942
  122. Mon Mar 31 11:44:29 2025 heaviest cycle: 28 relations
  123. Mon Mar 31 11:44:38 2025 RelProcTime: 833
  124. Mon Mar 31 11:44:38 2025 elapsed time 00:13:53
  125. Mon Mar 31 11:44:42 2025
  126. Mon Mar 31 11:44:42 2025
  127. Mon Mar 31 11:44:42 2025 Msieve v. 1.54 (SVN 03e8738)
  128. Mon Mar 31 11:44:42 2025 random seeds: e0a4f576 5866c8fb
  129. Mon Mar 31 11:44:42 2025 Using 16 OpenMP threads
  130. Mon Mar 31 11:44:42 2025 factoring 15016127320742477420749885376894784999089021609208272980401513148899129286500782143260118772581251607672277764209434930249437306946207389061624121228029518143979463 (164 digits)
  131. Mon Mar 31 11:44:42 2025 no P-1/P+1/ECM available, skipping
  132. Mon Mar 31 11:44:42 2025 commencing number field sieve (164-digit input)
  133. Mon Mar 31 11:44:42 2025 R0: -103570832390390237370522151859728
  134. Mon Mar 31 11:44:42 2025 R1: 28526534112500671
  135. Mon Mar 31 11:44:42 2025 A0: -32031139512672982546565938607660655858899175
  136. Mon Mar 31 11:44:42 2025 A1: -554095856639792368267518063064779198
  137. Mon Mar 31 11:44:42 2025 A2: 12022966762891519350908451286
  138. Mon Mar 31 11:44:42 2025 A3: -38839124481773224166
  139. Mon Mar 31 11:44:42 2025 A4: 670078763145
  140. Mon Mar 31 11:44:42 2025 A5: 1260
  141. Mon Mar 31 11:44:42 2025 skew 160483759.51, size 4.948e-16, alpha -8.293, combined = 7.275e-13 rroots = 3
  142. Mon Mar 31 11:44:42 2025
  143. Mon Mar 31 11:44:42 2025 commencing linear algebra
  144. Mon Mar 31 11:44:42 2025 using VBITS=256
  145. Mon Mar 31 11:44:43 2025 read 8197488 cycles
  146. Mon Mar 31 11:44:53 2025 cycles contain 30167631 unique relations
  147. Mon Mar 31 11:45:04 2025 read 30167631 relations
  148. Mon Mar 31 11:45:08 2025 using 20 quadratic characters above 4294917295
  149. Mon Mar 31 11:45:12 2025 building initial matrix
  150. Mon Mar 31 11:48:21 2025 memory use: 4121.9 MB
  151. Mon Mar 31 11:48:23 2025 read 8197488 cycles
  152. Mon Mar 31 11:48:24 2025 matrix is 8197309 x 8197488 (3869.0 MB) with weight 1199796221 (146.36/col)
  153. Mon Mar 31 11:48:24 2025 sparse part has weight 915865340 (111.73/col)
  154. Mon Mar 31 11:49:09 2025 filtering completed in 2 passes
  155. Mon Mar 31 11:49:10 2025 matrix is 8197012 x 8197189 (3869.0 MB) with weight 1199780435 (146.36/col)
  156. Mon Mar 31 11:49:10 2025 sparse part has weight 915860673 (111.73/col)
  157. Mon Mar 31 11:49:24 2025 matrix starts at (0, 0)
  158. Mon Mar 31 11:49:25 2025 matrix is 8197012 x 8197189 (3869.0 MB) with weight 1199780435 (146.36/col)
  159. Mon Mar 31 11:49:25 2025 sparse part has weight 915860673 (111.73/col)
  160. Mon Mar 31 11:49:25 2025 saving the first 240 matrix rows for later
  161. Mon Mar 31 11:49:26 2025 matrix includes 256 packed rows
  162. Mon Mar 31 11:49:27 2025 matrix is 8196772 x 8197189 (3490.4 MB) with weight 837634500 (102.19/col)
  163. Mon Mar 31 11:49:27 2025 sparse part has weight 783841677 (95.62/col)
  164. Mon Mar 31 11:49:28 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  165. Mon Mar 31 11:49:28 2025 selected card has CUDA arch 8.6
  166. Mon Mar 31 11:49:50 2025 commencing Lanczos iteration
  167. Mon Mar 31 11:49:51 2025 memory use: 8044.1 MB
  168. Mon Mar 31 11:50:15 2025 linear algebra at 0.4%, ETA 1h46m
  169. Mon Mar 31 11:50:51 2025 checking every 70000 dimensions, checkpointing every 4620000 dimensions
  170. Mon Mar 31 13:35:59 2025 lanczos halted after 32116 iterations (dim = 8196770)
  171. Mon Mar 31 13:36:25 2025 recovered 31 nontrivial dependencies
  172. Mon Mar 31 13:36:25 2025 BLanczosTime: 6703
  173. Mon Mar 31 13:36:25 2025 elapsed time 01:51:43
  174. Mon Mar 31 13:36:29 2025
  175. Mon Mar 31 13:36:29 2025
  176. Mon Mar 31 13:36:29 2025 Msieve v. 1.54 (SVN 03e8738)
  177. Mon Mar 31 13:36:29 2025 random seeds: b0f65447 ee0d018a
  178. Mon Mar 31 13:36:29 2025 Using 16 OpenMP threads
  179. Mon Mar 31 13:36:29 2025 factoring 15016127320742477420749885376894784999089021609208272980401513148899129286500782143260118772581251607672277764209434930249437306946207389061624121228029518143979463 (164 digits)
  180. Mon Mar 31 13:36:29 2025 no P-1/P+1/ECM available, skipping
  181. Mon Mar 31 13:36:29 2025 commencing number field sieve (164-digit input)
  182. Mon Mar 31 13:36:29 2025 R0: -103570832390390237370522151859728
  183. Mon Mar 31 13:36:29 2025 R1: 28526534112500671
  184. Mon Mar 31 13:36:29 2025 A0: -32031139512672982546565938607660655858899175
  185. Mon Mar 31 13:36:29 2025 A1: -554095856639792368267518063064779198
  186. Mon Mar 31 13:36:29 2025 A2: 12022966762891519350908451286
  187. Mon Mar 31 13:36:29 2025 A3: -38839124481773224166
  188. Mon Mar 31 13:36:29 2025 A4: 670078763145
  189. Mon Mar 31 13:36:29 2025 A5: 1260
  190. Mon Mar 31 13:36:29 2025 skew 160483759.51, size 4.948e-16, alpha -8.293, combined = 7.275e-13 rroots = 3
  191. Mon Mar 31 13:36:29 2025
  192. Mon Mar 31 13:36:29 2025 commencing square root phase
  193. Mon Mar 31 13:36:29 2025 reading relations for dependency 1
  194. Mon Mar 31 13:36:30 2025 read 4097061 cycles
  195. Mon Mar 31 13:36:34 2025 cycles contain 15084450 unique relations
  196. Mon Mar 31 13:36:44 2025 read 15084450 relations
  197. Mon Mar 31 13:37:17 2025 multiplying 15084450 relations
  198. Mon Mar 31 13:38:19 2025 multiply complete, coefficients have about 753.99 million bits
  199. Mon Mar 31 13:38:21 2025 initial square root is modulo 5813141
  200. Mon Mar 31 13:40:35 2025 found factor: 8363675580327176709391452817321190804291357087913446863469910881910873474954529
  201. Mon Mar 31 13:40:35 2025 reading relations for dependency 2
  202. Mon Mar 31 13:40:35 2025 read 4097305 cycles
  203. Mon Mar 31 13:40:40 2025 cycles contain 15080326 unique relations
  204. Mon Mar 31 13:40:48 2025 read 15080326 relations
  205. Mon Mar 31 13:41:22 2025 multiplying 15080326 relations
  206. Mon Mar 31 13:42:24 2025 multiply complete, coefficients have about 753.78 million bits
  207. Mon Mar 31 13:42:25 2025 initial square root is modulo 5787961
  208. Mon Mar 31 13:44:40 2025 sqrtTime: 491
  209. Mon Mar 31 13:44:40 2025 p37 factor: 9662517169603080146597075804361334307
  210. Mon Mar 31 13:44:40 2025 p42 factor: 865579375800554706630632939154853433850347
  211. Mon Mar 31 13:44:40 2025 p85 factor: 1795398108944233460501808938026833797341592478448107830465329141586471885486349545447
  212. Mon Mar 31 13:44:40 2025 elapsed time 00:08:11
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