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Dec 15th, 2025
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  1. Mon Dec 15 01:43:57 2025
  2. Mon Dec 15 01:43:57 2025
  3. Mon Dec 15 01:43:57 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Dec 15 01:43:57 2025 random seeds: 0794346b 38303f78
  5. Mon Dec 15 01:43:57 2025 MPI process 0 of 1
  6. Mon Dec 15 01:43:57 2025 Using 32 OpenMP threads
  7. Mon Dec 15 01:43:57 2025 factoring 122064782250102896708676833782412418219171392604595086659165026789956647126966130307853964139302387236753414699327897237798702394730735288851098877778510293279636038083 (168 digits)
  8. Mon Dec 15 01:43:58 2025 searching for 15-digit factors
  9. Mon Dec 15 01:43:58 2025 commencing number field sieve (168-digit input)
  10. Mon Dec 15 01:43:58 2025 R0: -221234289978492754633409834599811
  11. Mon Dec 15 01:43:58 2025 R1: 2141084143783897563397003
  12. Mon Dec 15 01:43:58 2025 A0: -14162104076761734180340420764460660317840
  13. Mon Dec 15 01:43:58 2025 A1: -1564806263834261011955875125717828
  14. Mon Dec 15 01:43:58 2025 A2: 522205297736316342386130239
  15. Mon Dec 15 01:43:58 2025 A3: -53108601415174409971
  16. Mon Dec 15 01:43:58 2025 A4: -9742591452670
  17. Mon Dec 15 01:43:58 2025 A5: 559440
  18. Mon Dec 15 01:43:58 2025 skew 10062767.10, size 3.083e-16, alpha -7.493, combined = 5.718e-13 rroots = 3
  19. Mon Dec 15 01:43:58 2025
  20. Mon Dec 15 01:43:58 2025 commencing relation filtering
  21. Mon Dec 15 01:43:58 2025 setting target matrix density to 120.0
  22. Mon Dec 15 01:43:58 2025 estimated available RAM is 257736.5 MB
  23. Mon Dec 15 01:43:58 2025 commencing duplicate removal, pass 1
  24. Mon Dec 15 01:55:16 2025 skipped 3 relations with b > 2^32
  25. Mon Dec 15 01:55:16 2025 skipped 208 malformed relations
  26. Mon Dec 15 01:55:16 2025 found 51199288 hash collisions in 270133511 relations
  27. Mon Dec 15 01:55:55 2025 commencing duplicate removal, pass 2
  28. Mon Dec 15 02:05:27 2025 found 53906161 duplicates and 216227350 unique relations
  29. Mon Dec 15 02:05:27 2025 memory use: 1705.5 MB
  30. Mon Dec 15 02:05:28 2025 reading ideals above 720000
  31. Mon Dec 15 02:05:28 2025 commencing singleton removal, initial pass
  32. Mon Dec 15 02:34:10 2025 memory use: 6024.0 MB
  33. Mon Dec 15 02:34:11 2025 reading all ideals from disk
  34. Mon Dec 15 02:34:17 2025 memory use: 9971.5 MB
  35. Mon Dec 15 02:35:30 2025 keeping 220336259 ideals with weight <= 200, target excess is 1060976
  36. Mon Dec 15 02:36:50 2025 commencing in-memory singleton removal
  37. Mon Dec 15 02:36:55 2025 begin with 216227350 relations and 220336259 unique ideals
  38. Mon Dec 15 02:37:18 2025 reduce to 103276652 relations and 91540262 ideals in 18 passes
  39. Mon Dec 15 02:37:18 2025 max relations containing the same ideal: 125
  40. Mon Dec 15 02:38:43 2025 removing 13445486 relations and 11445486 ideals in 2000000 cliques
  41. Mon Dec 15 02:38:49 2025 commencing in-memory singleton removal
  42. Mon Dec 15 02:38:52 2025 begin with 89831166 relations and 91540262 unique ideals
  43. Mon Dec 15 02:39:02 2025 reduce to 88378948 relations and 78605667 ideals in 11 passes
  44. Mon Dec 15 02:39:02 2025 max relations containing the same ideal: 115
  45. Mon Dec 15 02:40:16 2025 removing 10301151 relations and 8301151 ideals in 2000000 cliques
  46. Mon Dec 15 02:40:22 2025 commencing in-memory singleton removal
  47. Mon Dec 15 02:40:24 2025 begin with 78077797 relations and 78605667 unique ideals
  48. Mon Dec 15 02:40:31 2025 reduce to 77044686 relations and 69247547 ideals in 10 passes
  49. Mon Dec 15 02:40:31 2025 max relations containing the same ideal: 105
  50. Mon Dec 15 02:41:44 2025 removing 9405032 relations and 7405032 ideals in 2000000 cliques
  51. Mon Dec 15 02:41:50 2025 commencing in-memory singleton removal
  52. Mon Dec 15 02:41:51 2025 begin with 67639654 relations and 69247547 unique ideals
  53. Mon Dec 15 02:41:56 2025 reduce to 66639735 relations and 60817674 ideals in 9 passes
  54. Mon Dec 15 02:41:56 2025 max relations containing the same ideal: 94
  55. Mon Dec 15 02:43:00 2025 removing 9012985 relations and 7012985 ideals in 2000000 cliques
  56. Mon Dec 15 02:43:06 2025 commencing in-memory singleton removal
  57. Mon Dec 15 02:43:06 2025 begin with 57626750 relations and 60817674 unique ideals
  58. Mon Dec 15 02:43:11 2025 reduce to 56550586 relations and 52698584 ideals in 10 passes
  59. Mon Dec 15 02:43:11 2025 max relations containing the same ideal: 86
  60. Mon Dec 15 02:43:59 2025 removing 8867924 relations and 6867924 ideals in 2000000 cliques
  61. Mon Dec 15 02:44:03 2025 commencing in-memory singleton removal
  62. Mon Dec 15 02:44:04 2025 begin with 47682662 relations and 52698584 unique ideals
  63. Mon Dec 15 02:44:08 2025 reduce to 46428768 relations and 44536270 ideals in 10 passes
  64. Mon Dec 15 02:44:08 2025 max relations containing the same ideal: 75
  65. Mon Dec 15 02:44:48 2025 removing 3872242 relations and 3210477 ideals in 661765 cliques
  66. Mon Dec 15 02:44:51 2025 commencing in-memory singleton removal
  67. Mon Dec 15 02:44:52 2025 begin with 42556526 relations and 44536270 unique ideals
  68. Mon Dec 15 02:44:55 2025 reduce to 42297806 relations and 41063589 ideals in 9 passes
  69. Mon Dec 15 02:44:55 2025 max relations containing the same ideal: 70
  70. Mon Dec 15 02:45:39 2025 relations with 0 large ideals: 3760
  71. Mon Dec 15 02:45:39 2025 relations with 1 large ideals: 29051
  72. Mon Dec 15 02:45:39 2025 relations with 2 large ideals: 388565
  73. Mon Dec 15 02:45:39 2025 relations with 3 large ideals: 2163551
  74. Mon Dec 15 02:45:39 2025 relations with 4 large ideals: 6439422
  75. Mon Dec 15 02:45:39 2025 relations with 5 large ideals: 11150764
  76. Mon Dec 15 02:45:39 2025 relations with 6 large ideals: 11640857
  77. Mon Dec 15 02:45:39 2025 relations with 7+ large ideals: 10481836
  78. Mon Dec 15 02:45:39 2025 commencing 2-way merge
  79. Mon Dec 15 02:46:28 2025 reduce to 24899985 relation sets and 23665768 unique ideals
  80. Mon Dec 15 02:46:28 2025 commencing full merge
  81. Mon Dec 15 03:02:35 2025 memory use: 2744.9 MB
  82. Mon Dec 15 03:02:40 2025 found 10696597 cycles, need 10667968
  83. Mon Dec 15 03:02:45 2025 weight of 10667968 cycles is about 1280206603 (120.00/cycle)
  84. Mon Dec 15 03:02:45 2025 distribution of cycle lengths:
  85. Mon Dec 15 03:02:45 2025 1 relations: 889798
  86. Mon Dec 15 03:02:45 2025 2 relations: 767361
  87. Mon Dec 15 03:02:45 2025 3 relations: 756961
  88. Mon Dec 15 03:02:45 2025 4 relations: 730988
  89. Mon Dec 15 03:02:45 2025 5 relations: 721268
  90. Mon Dec 15 03:02:45 2025 6 relations: 691427
  91. Mon Dec 15 03:02:45 2025 7 relations: 659855
  92. Mon Dec 15 03:02:45 2025 8 relations: 628535
  93. Mon Dec 15 03:02:45 2025 9 relations: 592110
  94. Mon Dec 15 03:02:45 2025 10+ relations: 4229665
  95. Mon Dec 15 03:02:45 2025 heaviest cycle: 28 relations
  96. Mon Dec 15 03:02:51 2025 commencing cycle optimization
  97. Mon Dec 15 03:03:33 2025 start with 93867963 relations
  98. Mon Dec 15 03:09:31 2025 pruned 3388443 relations
  99. Mon Dec 15 03:09:31 2025 memory use: 2662.4 MB
  100. Mon Dec 15 03:09:31 2025 distribution of cycle lengths:
  101. Mon Dec 15 03:09:31 2025 1 relations: 889798
  102. Mon Dec 15 03:09:31 2025 2 relations: 786461
  103. Mon Dec 15 03:09:31 2025 3 relations: 785047
  104. Mon Dec 15 03:09:31 2025 4 relations: 755575
  105. Mon Dec 15 03:09:31 2025 5 relations: 748162
  106. Mon Dec 15 03:09:31 2025 6 relations: 715127
  107. Mon Dec 15 03:09:31 2025 7 relations: 684092
  108. Mon Dec 15 03:09:31 2025 8 relations: 648623
  109. Mon Dec 15 03:09:31 2025 9 relations: 610055
  110. Mon Dec 15 03:09:31 2025 10+ relations: 4045028
  111. Mon Dec 15 03:09:31 2025 heaviest cycle: 28 relations
  112. Mon Dec 15 03:10:03 2025 RelProcTime: 5165
  113. Mon Dec 15 03:10:04 2025
  114. Mon Dec 15 03:10:04 2025 commencing linear algebra
  115. Mon Dec 15 03:10:04 2025 using VBITS=256
  116. Mon Dec 15 03:10:04 2025 stopping after matrix build
  117. Mon Dec 15 03:10:04 2025 initialized process (0,0) of 1 x 1 grid
  118. Mon Dec 15 03:10:06 2025 read 10667968 cycles
  119. Mon Dec 15 03:10:45 2025 cycles contain 41289726 unique relations
  120. Mon Dec 15 03:16:48 2025 read 41289726 relations
  121. Mon Dec 15 03:16:58 2025 using 20 quadratic characters above 4294917295
  122. Mon Dec 15 03:17:05 2025 building initial matrix
  123. Mon Dec 15 03:34:12 2025 memory use: 5615.5 MB
  124. Mon Dec 15 03:34:31 2025 read 10667968 cycles
  125. Mon Dec 15 03:34:35 2025 matrix is 10667791 x 10667968 (5008.4 MB) with weight 1526057051 (143.05/col)
  126. Mon Dec 15 03:34:35 2025 sparse part has weight 1195576349 (112.07/col)
  127. Mon Dec 15 03:41:24 2025 filtering completed in 2 passes
  128. Mon Dec 15 03:41:28 2025 matrix is 10666948 x 10667124 (5008.3 MB) with weight 1526016594 (143.06/col)
  129. Mon Dec 15 03:41:28 2025 sparse part has weight 1195564928 (112.08/col)
  130. Mon Dec 15 03:43:05 2025 BLanczosTime: 1981
  131. Mon Dec 15 03:43:05 2025 elapsed time 01:59:08
  132. Mon Dec 15 10:30:19 2025
  133. Mon Dec 15 10:30:19 2025
  134. Mon Dec 15 10:30:19 2025 Msieve v. 1.54 (SVN Unversioned directory)
  135. Mon Dec 15 10:30:19 2025 random seeds: 13d90c5b 5eed7d9e
  136. Mon Dec 15 10:30:19 2025 MPI process 0 of 1
  137. Mon Dec 15 10:30:19 2025 Using 64 OpenMP threads
  138. Mon Dec 15 10:30:19 2025 factoring 122064782250102896708676833782412418219171392604595086659165026789956647126966130307853964139302387236753414699327897237798702394730735288851098877778510293279636038083 (168 digits)
  139. Mon Dec 15 10:30:20 2025 searching for 15-digit factors
  140. Mon Dec 15 10:30:21 2025 commencing number field sieve (168-digit input)
  141. Mon Dec 15 10:30:21 2025 R0: -221234289978492754633409834599811
  142. Mon Dec 15 10:30:21 2025 R1: 2141084143783897563397003
  143. Mon Dec 15 10:30:21 2025 A0: -14162104076761734180340420764460660317840
  144. Mon Dec 15 10:30:21 2025 A1: -1564806263834261011955875125717828
  145. Mon Dec 15 10:30:21 2025 A2: 522205297736316342386130239
  146. Mon Dec 15 10:30:21 2025 A3: -53108601415174409971
  147. Mon Dec 15 10:30:21 2025 A4: -9742591452670
  148. Mon Dec 15 10:30:21 2025 A5: 559440
  149. Mon Dec 15 10:30:21 2025 skew 10062767.10, size 3.083e-16, alpha -7.493, combined = 5.718e-13 rroots = 3
  150. Mon Dec 15 10:30:21 2025
  151. Mon Dec 15 10:30:21 2025 commencing linear algebra
  152. Mon Dec 15 10:30:21 2025 using VBITS=256
  153. Mon Dec 15 10:30:21 2025 skipping matrix build
  154. Mon Dec 15 10:30:21 2025 initialized process (0,0) of 1 x 1 grid
  155. Mon Dec 15 10:30:28 2025 matrix starts at (0, 0)
  156. Mon Dec 15 10:30:29 2025 matrix is 10666948 x 10667124 (5008.3 MB) with weight 1526016594 (143.06/col)
  157. Mon Dec 15 10:30:29 2025 sparse part has weight 1195564928 (112.08/col)
  158. Mon Dec 15 10:30:29 2025 saving the first 240 matrix rows for later
  159. Mon Dec 15 10:30:31 2025 matrix includes 256 packed rows
  160. Mon Dec 15 10:30:35 2025 matrix is 10666708 x 10667124 (4531.2 MB) with weight 1084252353 (101.64/col)
  161. Mon Dec 15 10:30:35 2025 sparse part has weight 1017165195 (95.36/col)
  162. Mon Dec 15 10:30:35 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  163. Mon Dec 15 10:30:57 2025 commencing Lanczos iteration (64 threads)
  164. Mon Dec 15 10:30:57 2025 memory use: 6570.2 MB
  165. Mon Dec 15 10:32:22 2025 linear algebra at 0.3%, ETA 8h 6m
  166. Mon Dec 15 10:34:27 2025 checking every 20000 dimensions, checkpointing every 1340000 dimensions
  167. Mon Dec 15 18:32:53 2025 lanczos halted after 41793 iterations (dim = 10666706)
  168. Mon Dec 15 18:33:42 2025 recovered 28 nontrivial dependencies
  169. Mon Dec 15 18:33:43 2025 BLanczosTime: 29002
  170. Mon Dec 15 18:33:43 2025
  171. Mon Dec 15 18:33:43 2025 commencing square root phase
  172. Mon Dec 15 18:33:43 2025 handling dependencies 1 to 64
  173. Mon Dec 15 18:33:43 2025 reading relations for dependency 1
  174. Mon Dec 15 18:33:44 2025 read 5330484 cycles
  175. Mon Dec 15 18:33:53 2025 cycles contain 20635192 unique relations
  176. Mon Dec 15 18:39:48 2025 read 20635192 relations
  177. Mon Dec 15 18:42:52 2025 multiplying 20635192 relations
  178. Mon Dec 15 18:46:53 2025 multiply complete, coefficients have about 1144.99 million bits
  179. Mon Dec 15 18:46:58 2025 initial square root is modulo 136849
  180. Mon Dec 15 19:01:34 2025 GCD is 1, no factor found
  181. Mon Dec 15 19:01:34 2025 reading relations for dependency 2
  182. Mon Dec 15 19:01:37 2025 read 5334156 cycles
  183. Mon Dec 15 19:01:59 2025 cycles contain 20647946 unique relations
  184. Mon Dec 15 19:07:54 2025 read 20647946 relations
  185. Mon Dec 15 19:11:02 2025 multiplying 20647946 relations
  186. Mon Dec 15 19:14:54 2025 multiply complete, coefficients have about 1145.70 million bits
  187. Mon Dec 15 19:14:59 2025 initial square root is modulo 137909
  188. Mon Dec 15 19:29:17 2025 sqrtTime: 3334
  189. Mon Dec 15 19:29:17 2025 p76 factor: 1044199522747200028105760860076086364246785202072229504865663064725047891019
  190. Mon Dec 15 19:29:17 2025 p93 factor: 116897948707121459637298979481458101362285807458065473993528497958494429207589091278718750057
  191. Mon Dec 15 19:29:17 2025 elapsed time 08:58:58
  192.  
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