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Jan 26th, 2026
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  1. Mon Jan 26 11:18:43 2026 Msieve v. 1.54 (SVN 573b9ef)
  2. Mon Jan 26 11:18:43 2026 random seeds: 023cd424 a8826f23
  3. Mon Jan 26 11:18:43 2026 Using 32 OpenMP threads
  4. Mon Jan 26 11:18:43 2026 factoring 789863193721444138651340251540409404952862807643972756962479570448561969379378436805629715373983747964291226383009316445981994309502783575714670279108495137790676346582672679801378234253183850434962583845084308991591209132176405029033561069967265253387101 (255 digits)
  5. Mon Jan 26 11:18:43 2026 no P-1/P+1/ECM available, skipping
  6. Mon Jan 26 11:18:43 2026 commencing number field sieve (255-digit input)
  7. Mon Jan 26 11:18:43 2026 R0: 1
  8. Mon Jan 26 11:18:43 2026 R1: -3040333510421013305209384715736829761562849
  9. Mon Jan 26 11:18:43 2026 A0: -17713
  10. Mon Jan 26 11:18:43 2026 A1: 0
  11. Mon Jan 26 11:18:43 2026 A2: 0
  12. Mon Jan 26 11:18:43 2026 A3: 0
  13. Mon Jan 26 11:18:43 2026 A4: 0
  14. Mon Jan 26 11:18:43 2026 A5: 0
  15. Mon Jan 26 11:18:43 2026 A6: 1
  16. Mon Jan 26 11:18:43 2026 skew 3.95, size 8.558e-13, alpha -1.092, combined = 1.043e-13 rroots = 2
  17. Mon Jan 26 11:18:43 2026
  18. Mon Jan 26 11:18:43 2026 commencing relation filtering
  19. Mon Jan 26 11:18:43 2026 setting target matrix density to 100.0
  20. Mon Jan 26 11:18:43 2026 estimated available RAM is 128740.1 MB
  21. Mon Jan 26 11:18:43 2026 commencing duplicate removal, pass 1
  22. Mon Jan 26 11:19:35 2026 error -15 reading relation 98024316
  23. Mon Jan 26 11:19:45 2026 error -15 reading relation 117649694
  24. Mon Jan 26 11:20:23 2026 skipped 61 relations with b > 2^32
  25. Mon Jan 26 11:20:23 2026 found 7978910 hash collisions in 190616403 relations
  26. Mon Jan 26 11:20:30 2026 added 1218965 free relations
  27. Mon Jan 26 11:20:30 2026 commencing duplicate removal, pass 2
  28. Mon Jan 26 11:20:58 2026 found 0 duplicates and 191835368 unique relations
  29. Mon Jan 26 11:20:58 2026 memory use: 554.4 MB
  30. Mon Jan 26 11:20:58 2026 reading ideals above 720000
  31. Mon Jan 26 11:20:58 2026 commencing singleton removal, initial pass
  32. Mon Jan 26 11:25:46 2026 memory use: 5512.0 MB
  33. Mon Jan 26 11:25:46 2026 reading all ideals from disk
  34. Mon Jan 26 11:25:47 2026 memory use: 9287.4 MB
  35. Mon Jan 26 11:25:55 2026 keeping 167215603 ideals with weight <= 200, target excess is 1005404
  36. Mon Jan 26 11:26:05 2026 commencing in-memory singleton removal
  37. Mon Jan 26 11:26:07 2026 begin with 191835368 relations and 167215603 unique ideals
  38. Mon Jan 26 11:26:25 2026 reduce to 152552747 relations and 126202848 ideals in 14 passes
  39. Mon Jan 26 11:26:25 2026 max relations containing the same ideal: 181
  40. Mon Jan 26 11:26:52 2026 removing 12267696 relations and 10267696 ideals in 2000000 cliques
  41. Mon Jan 26 11:26:55 2026 commencing in-memory singleton removal
  42. Mon Jan 26 11:26:57 2026 begin with 140285051 relations and 126202848 unique ideals
  43. Mon Jan 26 11:27:07 2026 reduce to 139518853 relations and 115155908 ideals in 10 passes
  44. Mon Jan 26 11:27:07 2026 max relations containing the same ideal: 173
  45. Mon Jan 26 11:27:31 2026 removing 9309742 relations and 7309742 ideals in 2000000 cliques
  46. Mon Jan 26 11:27:34 2026 commencing in-memory singleton removal
  47. Mon Jan 26 11:27:36 2026 begin with 130209111 relations and 115155908 unique ideals
  48. Mon Jan 26 11:27:43 2026 reduce to 129706208 relations and 107335743 ideals in 7 passes
  49. Mon Jan 26 11:27:43 2026 max relations containing the same ideal: 167
  50. Mon Jan 26 11:28:05 2026 removing 8404327 relations and 6404327 ideals in 2000000 cliques
  51. Mon Jan 26 11:28:07 2026 commencing in-memory singleton removal
  52. Mon Jan 26 11:28:09 2026 begin with 121301881 relations and 107335743 unique ideals
  53. Mon Jan 26 11:28:16 2026 reduce to 120858315 relations and 100481114 ideals in 8 passes
  54. Mon Jan 26 11:28:16 2026 max relations containing the same ideal: 158
  55. Mon Jan 26 11:28:37 2026 removing 7943931 relations and 5943931 ideals in 2000000 cliques
  56. Mon Jan 26 11:28:39 2026 commencing in-memory singleton removal
  57. Mon Jan 26 11:28:41 2026 begin with 112914384 relations and 100481114 unique ideals
  58. Mon Jan 26 11:28:47 2026 reduce to 112493955 relations and 94110314 ideals in 7 passes
  59. Mon Jan 26 11:28:47 2026 max relations containing the same ideal: 152
  60. Mon Jan 26 11:29:07 2026 removing 7652890 relations and 5652890 ideals in 2000000 cliques
  61. Mon Jan 26 11:29:10 2026 commencing in-memory singleton removal
  62. Mon Jan 26 11:29:11 2026 begin with 104841065 relations and 94110314 unique ideals
  63. Mon Jan 26 11:29:17 2026 reduce to 104428284 relations and 88037947 ideals in 8 passes
  64. Mon Jan 26 11:29:17 2026 max relations containing the same ideal: 145
  65. Mon Jan 26 11:29:36 2026 removing 7468333 relations and 5468333 ideals in 2000000 cliques
  66. Mon Jan 26 11:29:38 2026 commencing in-memory singleton removal
  67. Mon Jan 26 11:29:39 2026 begin with 96959951 relations and 88037947 unique ideals
  68. Mon Jan 26 11:29:44 2026 reduce to 96540542 relations and 82143028 ideals in 7 passes
  69. Mon Jan 26 11:29:44 2026 max relations containing the same ideal: 143
  70. Mon Jan 26 11:30:02 2026 removing 7348529 relations and 5348529 ideals in 2000000 cliques
  71. Mon Jan 26 11:30:03 2026 commencing in-memory singleton removal
  72. Mon Jan 26 11:30:05 2026 begin with 89192013 relations and 82143028 unique ideals
  73. Mon Jan 26 11:30:09 2026 reduce to 88758762 relations and 76353347 ideals in 7 passes
  74. Mon Jan 26 11:30:09 2026 max relations containing the same ideal: 136
  75. Mon Jan 26 11:30:26 2026 removing 7273171 relations and 5273171 ideals in 2000000 cliques
  76. Mon Jan 26 11:30:27 2026 commencing in-memory singleton removal
  77. Mon Jan 26 11:30:28 2026 begin with 81485591 relations and 76353347 unique ideals
  78. Mon Jan 26 11:30:33 2026 reduce to 81029594 relations and 70615180 ideals in 7 passes
  79. Mon Jan 26 11:30:33 2026 max relations containing the same ideal: 122
  80. Mon Jan 26 11:30:48 2026 removing 7236988 relations and 5236988 ideals in 2000000 cliques
  81. Mon Jan 26 11:30:50 2026 commencing in-memory singleton removal
  82. Mon Jan 26 11:30:51 2026 begin with 73792606 relations and 70615180 unique ideals
  83. Mon Jan 26 11:30:55 2026 reduce to 73300338 relations and 64875348 ideals in 8 passes
  84. Mon Jan 26 11:30:55 2026 max relations containing the same ideal: 113
  85. Mon Jan 26 11:31:09 2026 removing 7235133 relations and 5235133 ideals in 2000000 cliques
  86. Mon Jan 26 11:31:10 2026 commencing in-memory singleton removal
  87. Mon Jan 26 11:31:11 2026 begin with 66065205 relations and 64875348 unique ideals
  88. Mon Jan 26 11:31:15 2026 reduce to 65522394 relations and 59084643 ideals in 9 passes
  89. Mon Jan 26 11:31:15 2026 max relations containing the same ideal: 107
  90. Mon Jan 26 11:31:28 2026 removing 7273102 relations and 5273102 ideals in 2000000 cliques
  91. Mon Jan 26 11:31:30 2026 commencing in-memory singleton removal
  92. Mon Jan 26 11:31:31 2026 begin with 58249292 relations and 59084643 unique ideals
  93. Mon Jan 26 11:31:34 2026 reduce to 57632182 relations and 53178422 ideals in 8 passes
  94. Mon Jan 26 11:31:34 2026 max relations containing the same ideal: 96
  95. Mon Jan 26 11:31:45 2026 removing 7347034 relations and 5347034 ideals in 2000000 cliques
  96. Mon Jan 26 11:31:47 2026 commencing in-memory singleton removal
  97. Mon Jan 26 11:31:47 2026 begin with 50285148 relations and 53178422 unique ideals
  98. Mon Jan 26 11:31:50 2026 reduce to 49559758 relations and 47084443 ideals in 8 passes
  99. Mon Jan 26 11:31:50 2026 max relations containing the same ideal: 88
  100. Mon Jan 26 11:32:00 2026 removing 5338945 relations and 4029899 ideals in 1309046 cliques
  101. Mon Jan 26 11:32:01 2026 commencing in-memory singleton removal
  102. Mon Jan 26 11:32:02 2026 begin with 44220813 relations and 47084443 unique ideals
  103. Mon Jan 26 11:32:04 2026 reduce to 43781939 relations and 42605504 ideals in 8 passes
  104. Mon Jan 26 11:32:04 2026 max relations containing the same ideal: 81
  105. Mon Jan 26 11:32:13 2026 removing 86277 relations and 76111 ideals in 10166 cliques
  106. Mon Jan 26 11:32:14 2026 commencing in-memory singleton removal
  107. Mon Jan 26 11:32:14 2026 begin with 43695662 relations and 42605504 unique ideals
  108. Mon Jan 26 11:32:16 2026 reduce to 43695542 relations and 42529273 ideals in 4 passes
  109. Mon Jan 26 11:32:16 2026 max relations containing the same ideal: 81
  110. Mon Jan 26 11:32:19 2026 relations with 0 large ideals: 32370
  111. Mon Jan 26 11:32:19 2026 relations with 1 large ideals: 14396
  112. Mon Jan 26 11:32:19 2026 relations with 2 large ideals: 204569
  113. Mon Jan 26 11:32:19 2026 relations with 3 large ideals: 1312144
  114. Mon Jan 26 11:32:19 2026 relations with 4 large ideals: 4502969
  115. Mon Jan 26 11:32:19 2026 relations with 5 large ideals: 9164624
  116. Mon Jan 26 11:32:19 2026 relations with 6 large ideals: 11669913
  117. Mon Jan 26 11:32:19 2026 relations with 7+ large ideals: 16794557
  118. Mon Jan 26 11:32:19 2026 commencing 2-way merge
  119. Mon Jan 26 11:32:32 2026 reduce to 27345949 relation sets and 26179680 unique ideals
  120. Mon Jan 26 11:32:32 2026 commencing full merge
  121. Mon Jan 26 11:37:33 2026 memory use: 3470.3 MB
  122. Mon Jan 26 11:37:35 2026 found 13165826 cycles, need 13031880
  123. Mon Jan 26 11:37:38 2026 weight of 13031880 cycles is about 1303499333 (100.02/cycle)
  124. Mon Jan 26 11:37:38 2026 distribution of cycle lengths:
  125. Mon Jan 26 11:37:38 2026 1 relations: 1036654
  126. Mon Jan 26 11:37:38 2026 2 relations: 1091934
  127. Mon Jan 26 11:37:38 2026 3 relations: 1121591
  128. Mon Jan 26 11:37:38 2026 4 relations: 1108405
  129. Mon Jan 26 11:37:38 2026 5 relations: 1088142
  130. Mon Jan 26 11:37:38 2026 6 relations: 1036036
  131. Mon Jan 26 11:37:38 2026 7 relations: 987204
  132. Mon Jan 26 11:37:38 2026 8 relations: 914462
  133. Mon Jan 26 11:37:38 2026 9 relations: 822579
  134. Mon Jan 26 11:37:38 2026 10+ relations: 3824873
  135. Mon Jan 26 11:37:38 2026 heaviest cycle: 27 relations
  136. Mon Jan 26 11:37:40 2026 commencing cycle optimization
  137. Mon Jan 26 11:37:55 2026 start with 95268060 relations
  138. Mon Jan 26 11:39:28 2026 pruned 3367076 relations
  139. Mon Jan 26 11:39:28 2026 memory use: 2773.9 MB
  140. Mon Jan 26 11:39:28 2026 distribution of cycle lengths:
  141. Mon Jan 26 11:39:28 2026 1 relations: 1036654
  142. Mon Jan 26 11:39:28 2026 2 relations: 1115520
  143. Mon Jan 26 11:39:28 2026 3 relations: 1163213
  144. Mon Jan 26 11:39:28 2026 4 relations: 1145940
  145. Mon Jan 26 11:39:28 2026 5 relations: 1131314
  146. Mon Jan 26 11:39:28 2026 6 relations: 1074197
  147. Mon Jan 26 11:39:28 2026 7 relations: 1024755
  148. Mon Jan 26 11:39:28 2026 8 relations: 942086
  149. Mon Jan 26 11:39:28 2026 9 relations: 845104
  150. Mon Jan 26 11:39:28 2026 10+ relations: 3553097
  151. Mon Jan 26 11:39:28 2026 heaviest cycle: 26 relations
  152. Mon Jan 26 11:39:40 2026 RelProcTime: 1257
  153. Mon Jan 26 11:39:40 2026 elapsed time 00:20:57
  154. Mon Jan 26 15:12:08 2026
  155. Mon Jan 26 15:12:08 2026
  156. Mon Jan 26 15:12:08 2026 Msieve v. 1.54 (SVN 573b9ef)
  157. Mon Jan 26 15:12:08 2026 random seeds: 32876bb1 78864f68
  158. Mon Jan 26 15:12:08 2026 MPI process 0 of 2
  159. Mon Jan 26 15:12:08 2026 Using 8 OpenMP threads
  160. Mon Jan 26 15:12:08 2026 factoring 789863193721444138651340251540409404952862807643972756962479570448561969379378436805629715373983747964291226383009316445981994309502783575714670279108495137790676346582672679801378234253183850434962583845084308991591209132176405029033561069967265253387101 (255 digits)
  161. Mon Jan 26 15:12:08 2026 no P-1/P+1/ECM available, skipping
  162. Mon Jan 26 15:12:08 2026 commencing number field sieve (255-digit input)
  163. Mon Jan 26 15:12:08 2026 R0: 1
  164. Mon Jan 26 15:12:08 2026 R1: -3040333510421013305209384715736829761562849
  165. Mon Jan 26 15:12:08 2026 A0: -17713
  166. Mon Jan 26 15:12:08 2026 A1: 0
  167. Mon Jan 26 15:12:08 2026 A2: 0
  168. Mon Jan 26 15:12:08 2026 A3: 0
  169. Mon Jan 26 15:12:08 2026 A4: 0
  170. Mon Jan 26 15:12:08 2026 A5: 0
  171. Mon Jan 26 15:12:08 2026 A6: 1
  172. Mon Jan 26 15:12:08 2026 skew 3.95, size 8.558e-13, alpha -1.092, combined = 1.043e-13 rroots = 2
  173. Mon Jan 26 15:12:08 2026
  174. Mon Jan 26 15:12:08 2026 commencing linear algebra
  175. Mon Jan 26 15:12:08 2026 using VBITS=256
  176. Mon Jan 26 15:12:08 2026 initialized process (0,0) of 1 x 2 grid
  177. Mon Jan 26 15:12:09 2026 read 13030109 cycles
  178. Mon Jan 26 15:12:22 2026 cycles contain 42975147 unique relations
  179. Mon Jan 26 15:12:51 2026 read 42975147 relations
  180. Mon Jan 26 15:12:58 2026 using 20 quadratic characters above 4294917295
  181. Mon Jan 26 15:13:10 2026 building initial matrix
  182. Mon Jan 26 15:17:30 2026 memory use: 5616.1 MB
  183. Mon Jan 26 15:17:34 2026 read 13030109 cycles
  184. Mon Jan 26 15:17:35 2026 matrix is 13029938 x 13030109 (5258.8 MB) with weight 1539694656 (118.16/col)
  185. Mon Jan 26 15:17:35 2026 sparse part has weight 1235241726 (94.80/col)
  186. Mon Jan 26 15:18:11 2026 filtering completed in 1 passes
  187. Mon Jan 26 15:18:12 2026 matrix is 13029938 x 13030109 (5258.8 MB) with weight 1539694656 (118.16/col)
  188. Mon Jan 26 15:18:12 2026 sparse part has weight 1235241726 (94.80/col)
  189. Mon Jan 26 15:18:24 2026 matrix starts at (0, 0)
  190. Mon Jan 26 15:18:25 2026 matrix is 13029938 x 6515058 (2629.4 MB) with weight 769827352 (118.16/col)
  191. Mon Jan 26 15:18:25 2026 sparse part has weight 617621034 (94.80/col)
  192. Mon Jan 26 15:18:25 2026 saving the first 240 matrix rows for later
  193. Mon Jan 26 15:18:25 2026 matrix includes 256 packed rows
  194. Mon Jan 26 15:18:28 2026 matrix is 13029698 x 6515058 (2426.9 MB) with weight 562933233 (86.40/col)
  195. Mon Jan 26 15:18:28 2026 sparse part has weight 531953116 (81.65/col)
  196. Mon Jan 26 15:18:28 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  197. Mon Jan 26 15:18:28 2026 selected card has CUDA arch 8.6
  198. Mon Jan 26 15:18:49 2026 commencing Lanczos iteration
  199. Mon Jan 26 15:18:50 2026 memory use: 6320.1 MB
  200. Mon Jan 26 15:19:14 2026 linear algebra at 0.2%, ETA 2h42m
  201. Mon Jan 26 15:19:51 2026 checking every 70000 dimensions, checkpointing every 4620000 dimensions
  202. Mon Jan 26 18:09:18 2026 lanczos halted after 51051 iterations (dim = 13029698)
  203. Mon Jan 26 18:12:00 2026 recovered 31 nontrivial dependencies
  204. Mon Jan 26 18:12:01 2026 BLanczosTime: 10793
  205. Mon Jan 26 18:12:01 2026 elapsed time 02:59:53
  206. Mon Jan 26 18:18:48 2026
  207. Mon Jan 26 18:18:48 2026
  208. Mon Jan 26 18:18:48 2026 Msieve v. 1.54 (SVN 573b9ef)
  209. Mon Jan 26 18:18:48 2026 random seeds: 6d65d784 21e70513
  210. Mon Jan 26 18:18:48 2026 Using 32 OpenMP threads
  211. Mon Jan 26 18:18:48 2026 factoring 789863193721444138651340251540409404952862807643972756962479570448561969379378436805629715373983747964291226383009316445981994309502783575714670279108495137790676346582672679801378234253183850434962583845084308991591209132176405029033561069967265253387101 (255 digits)
  212. Mon Jan 26 18:18:48 2026 no P-1/P+1/ECM available, skipping
  213. Mon Jan 26 18:18:48 2026 commencing number field sieve (255-digit input)
  214. Mon Jan 26 18:18:48 2026 R0: 1
  215. Mon Jan 26 18:18:48 2026 R1: -3040333510421013305209384715736829761562849
  216. Mon Jan 26 18:18:48 2026 A0: -17713
  217. Mon Jan 26 18:18:48 2026 A1: 0
  218. Mon Jan 26 18:18:48 2026 A2: 0
  219. Mon Jan 26 18:18:48 2026 A3: 0
  220. Mon Jan 26 18:18:48 2026 A4: 0
  221. Mon Jan 26 18:18:48 2026 A5: 0
  222. Mon Jan 26 18:18:48 2026 A6: 1
  223. Mon Jan 26 18:18:48 2026 skew 3.95, size 8.558e-13, alpha -1.092, combined = 1.043e-13 rroots = 2
  224. Mon Jan 26 18:18:48 2026
  225. Mon Jan 26 18:18:48 2026 commencing square root phase
  226. Mon Jan 26 18:18:48 2026 reading relations for dependency 1
  227. Mon Jan 26 18:18:50 2026 read 6516938 cycles
  228. Mon Jan 26 18:18:58 2026 cycles contain 21488618 unique relations
  229. Mon Jan 26 18:19:14 2026 read 21488618 relations
  230. Mon Jan 26 18:20:00 2026 multiplying 21488618 relations
  231. Mon Jan 26 18:20:53 2026 multiply complete, coefficients have about 579.42 million bits
  232. Mon Jan 26 18:20:54 2026 initial square root is modulo 157897
  233. Mon Jan 26 18:22:54 2026 sqrtTime: 246
  234. Mon Jan 26 18:22:54 2026 p112 factor: 2943709727494436781218967412779501797992033174302277580998425202774525285332192062007492729116081349281677219607
  235. Mon Jan 26 18:22:54 2026 p144 factor: 268322377829604422076311268621710910865240316591984381670028419102490730492436156354665430013475244660442095751034964810491357442688775921392043
  236. Mon Jan 26 18:22:54 2026 elapsed time 00:04:06
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