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Nov 11th, 2024
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  1. Sun Nov 10 19:00:14 2024
  2. Sun Nov 10 19:00:14 2024
  3. Sun Nov 10 19:00:14 2024 Msieve v. 1.54 (SVN unknown)
  4. Sun Nov 10 19:00:14 2024 random seeds: 902f0b5d 56434341
  5. Sun Nov 10 19:00:14 2024 factoring 24409934569180907634569074765878937437127289563845080470427946204638084216027352508783265605283374235995080033040585119470624271166997970282958790063779622038215903650855239265852265260665154024990193952519830841517623048873 (224 digits)
  6. Sun Nov 10 19:00:15 2024 no P-1/P+1/ECM available, skipping
  7. Sun Nov 10 19:00:15 2024 commencing number field sieve (224-digit input)
  8. Sun Nov 10 19:00:15 2024 R0: 733808524516385808949551614305062311761
  9. Sun Nov 10 19:00:15 2024 R1: -1
  10. Sun Nov 10 19:00:15 2024 A0: -1733
  11. Sun Nov 10 19:00:15 2024 A1: 0
  12. Sun Nov 10 19:00:15 2024 A2: 0
  13. Sun Nov 10 19:00:15 2024 A3: 0
  14. Sun Nov 10 19:00:15 2024 A4: 0
  15. Sun Nov 10 19:00:15 2024 A5: 0
  16. Sun Nov 10 19:00:15 2024 A6: 1
  17. Sun Nov 10 19:00:15 2024 skew 4.43, size 7.163e-12, alpha 2.399, combined = 5.134e-13 rroots = 2
  18. Sun Nov 10 19:00:15 2024
  19. Sun Nov 10 19:00:15 2024 commencing relation filtering
  20. Sun Nov 10 19:00:15 2024 setting target matrix density to 112.0
  21. Sun Nov 10 19:00:15 2024 estimated available RAM is 15954.4 MB
  22. Sun Nov 10 19:00:15 2024 commencing duplicate removal, pass 1
  23. Sun Nov 10 19:03:07 2024 error -11 reading relation 30732225
  24. Sun Nov 10 19:13:32 2024 skipped 1 relations with b > 2^32
  25. Sun Nov 10 19:13:32 2024 skipped 5 relations with composite factors
  26. Sun Nov 10 19:13:32 2024 found 4484994 hash collisions in 141909443 relations
  27. Sun Nov 10 19:13:43 2024 commencing duplicate removal, pass 2
  28. Sun Nov 10 19:14:25 2024 found 0 duplicates and 141909443 unique relations
  29. Sun Nov 10 19:14:25 2024 memory use: 389.2 MB
  30. Sun Nov 10 19:14:25 2024 reading ideals above 123928576
  31. Sun Nov 10 19:14:25 2024 commencing singleton removal, initial pass
  32. Sun Nov 10 19:24:00 2024 memory use: 3012.0 MB
  33. Sun Nov 10 19:24:00 2024 reading all ideals from disk
  34. Sun Nov 10 19:24:04 2024 memory use: 2425.7 MB
  35. Sun Nov 10 19:24:09 2024 commencing in-memory singleton removal
  36. Sun Nov 10 19:24:13 2024 begin with 141909443 relations and 116737416 unique ideals
  37. Sun Nov 10 19:24:59 2024 reduce to 92346701 relations and 62364979 ideals in 13 passes
  38. Sun Nov 10 19:24:59 2024 max relations containing the same ideal: 35
  39. Sun Nov 10 19:25:03 2024 reading ideals above 720000
  40. Sun Nov 10 19:25:03 2024 commencing singleton removal, initial pass
  41. Sun Nov 10 19:33:21 2024 memory use: 1506.0 MB
  42. Sun Nov 10 19:33:21 2024 reading all ideals from disk
  43. Sun Nov 10 19:33:28 2024 memory use: 3586.9 MB
  44. Sun Nov 10 19:33:36 2024 keeping 76001431 ideals with weight <= 200, target excess is 465034
  45. Sun Nov 10 19:33:45 2024 commencing in-memory singleton removal
  46. Sun Nov 10 19:33:52 2024 begin with 92346701 relations and 76001431 unique ideals
  47. Sun Nov 10 19:34:30 2024 reduce to 92345977 relations and 76000707 ideals in 6 passes
  48. Sun Nov 10 19:34:30 2024 max relations containing the same ideal: 200
  49. Sun Nov 10 19:35:02 2024 removing 9708465 relations and 7708465 ideals in 2000000 cliques
  50. Sun Nov 10 19:35:05 2024 commencing in-memory singleton removal
  51. Sun Nov 10 19:35:10 2024 begin with 82637512 relations and 76000707 unique ideals
  52. Sun Nov 10 19:35:47 2024 reduce to 81824688 relations and 67457497 ideals in 8 passes
  53. Sun Nov 10 19:35:47 2024 max relations containing the same ideal: 196
  54. Sun Nov 10 19:36:14 2024 removing 7609507 relations and 5609507 ideals in 2000000 cliques
  55. Sun Nov 10 19:36:17 2024 commencing in-memory singleton removal
  56. Sun Nov 10 19:36:21 2024 begin with 74215181 relations and 67457497 unique ideals
  57. Sun Nov 10 19:36:55 2024 reduce to 73643527 relations and 61262463 ideals in 8 passes
  58. Sun Nov 10 19:36:55 2024 max relations containing the same ideal: 181
  59. Sun Nov 10 19:37:19 2024 removing 7025299 relations and 5025299 ideals in 2000000 cliques
  60. Sun Nov 10 19:37:21 2024 commencing in-memory singleton removal
  61. Sun Nov 10 19:37:25 2024 begin with 66618228 relations and 61262463 unique ideals
  62. Sun Nov 10 19:37:52 2024 reduce to 66089777 relations and 55695203 ideals in 7 passes
  63. Sun Nov 10 19:37:52 2024 max relations containing the same ideal: 170
  64. Sun Nov 10 19:38:13 2024 removing 6750600 relations and 4750600 ideals in 2000000 cliques
  65. Sun Nov 10 19:38:15 2024 commencing in-memory singleton removal
  66. Sun Nov 10 19:38:19 2024 begin with 59339177 relations and 55695203 unique ideals
  67. Sun Nov 10 19:38:45 2024 reduce to 58814450 relations and 50405561 ideals in 8 passes
  68. Sun Nov 10 19:38:45 2024 max relations containing the same ideal: 156
  69. Sun Nov 10 19:39:04 2024 removing 6596560 relations and 4596560 ideals in 2000000 cliques
  70. Sun Nov 10 19:39:07 2024 commencing in-memory singleton removal
  71. Sun Nov 10 19:39:10 2024 begin with 52217890 relations and 50405561 unique ideals
  72. Sun Nov 10 19:39:33 2024 reduce to 51673970 relations and 45248858 ideals in 8 passes
  73. Sun Nov 10 19:39:33 2024 max relations containing the same ideal: 146
  74. Sun Nov 10 19:39:50 2024 removing 6508028 relations and 4508028 ideals in 2000000 cliques
  75. Sun Nov 10 19:39:52 2024 commencing in-memory singleton removal
  76. Sun Nov 10 19:39:54 2024 begin with 45165942 relations and 45248858 unique ideals
  77. Sun Nov 10 19:40:14 2024 reduce to 44576272 relations and 40131065 ideals in 8 passes
  78. Sun Nov 10 19:40:14 2024 max relations containing the same ideal: 134
  79. Sun Nov 10 19:40:29 2024 removing 6461882 relations and 4461882 ideals in 2000000 cliques
  80. Sun Nov 10 19:40:31 2024 commencing in-memory singleton removal
  81. Sun Nov 10 19:40:33 2024 begin with 38114390 relations and 40131065 unique ideals
  82. Sun Nov 10 19:40:48 2024 reduce to 37448540 relations and 34977044 ideals in 7 passes
  83. Sun Nov 10 19:40:48 2024 max relations containing the same ideal: 117
  84. Sun Nov 10 19:41:01 2024 removing 6277727 relations and 4345671 ideals in 1932056 cliques
  85. Sun Nov 10 19:41:03 2024 commencing in-memory singleton removal
  86. Sun Nov 10 19:41:04 2024 begin with 31170813 relations and 34977044 unique ideals
  87. Sun Nov 10 19:41:18 2024 reduce to 30413329 relations and 29839676 ideals in 8 passes
  88. Sun Nov 10 19:41:18 2024 max relations containing the same ideal: 100
  89. Sun Nov 10 19:41:28 2024 removing 232603 relations and 198390 ideals in 34213 cliques
  90. Sun Nov 10 19:41:29 2024 commencing in-memory singleton removal
  91. Sun Nov 10 19:41:31 2024 begin with 30180726 relations and 29839676 unique ideals
  92. Sun Nov 10 19:41:39 2024 reduce to 30179426 relations and 29639986 ideals in 5 passes
  93. Sun Nov 10 19:41:39 2024 max relations containing the same ideal: 99
  94. Sun Nov 10 19:41:44 2024 relations with 0 large ideals: 17421
  95. Sun Nov 10 19:41:44 2024 relations with 1 large ideals: 5508
  96. Sun Nov 10 19:41:44 2024 relations with 2 large ideals: 64655
  97. Sun Nov 10 19:41:44 2024 relations with 3 large ideals: 489201
  98. Sun Nov 10 19:41:44 2024 relations with 4 large ideals: 2011432
  99. Sun Nov 10 19:41:44 2024 relations with 5 large ideals: 4963595
  100. Sun Nov 10 19:41:44 2024 relations with 6 large ideals: 7685262
  101. Sun Nov 10 19:41:44 2024 relations with 7+ large ideals: 14942352
  102. Sun Nov 10 19:41:44 2024 commencing 2-way merge
  103. Sun Nov 10 19:41:58 2024 reduce to 20022000 relation sets and 19482560 unique ideals
  104. Sun Nov 10 19:41:58 2024 commencing full merge
  105. Sun Nov 10 19:48:04 2024 memory use: 2590.4 MB
  106. Sun Nov 10 19:48:06 2024 found 9168880 cycles, need 9152760
  107. Sun Nov 10 19:48:08 2024 weight of 9152760 cycles is about 1025241755 (112.01/cycle)
  108. Sun Nov 10 19:48:08 2024 distribution of cycle lengths:
  109. Sun Nov 10 19:48:08 2024 1 relations: 441724
  110. Sun Nov 10 19:48:08 2024 2 relations: 608274
  111. Sun Nov 10 19:48:08 2024 3 relations: 701392
  112. Sun Nov 10 19:48:08 2024 4 relations: 718065
  113. Sun Nov 10 19:48:08 2024 5 relations: 728267
  114. Sun Nov 10 19:48:08 2024 6 relations: 709276
  115. Sun Nov 10 19:48:08 2024 7 relations: 682034
  116. Sun Nov 10 19:48:08 2024 8 relations: 639195
  117. Sun Nov 10 19:48:08 2024 9 relations: 589325
  118. Sun Nov 10 19:48:08 2024 10+ relations: 3335208
  119. Sun Nov 10 19:48:08 2024 heaviest cycle: 28 relations
  120. Sun Nov 10 19:48:11 2024 commencing cycle optimization
  121. Sun Nov 10 19:48:26 2024 start with 77348973 relations
  122. Sun Nov 10 19:50:43 2024 pruned 3523045 relations
  123. Sun Nov 10 19:50:44 2024 memory use: 2053.0 MB
  124. Sun Nov 10 19:50:44 2024 distribution of cycle lengths:
  125. Sun Nov 10 19:50:44 2024 1 relations: 441724
  126. Sun Nov 10 19:50:44 2024 2 relations: 623736
  127. Sun Nov 10 19:50:44 2024 3 relations: 732371
  128. Sun Nov 10 19:50:44 2024 4 relations: 748691
  129. Sun Nov 10 19:50:44 2024 5 relations: 765057
  130. Sun Nov 10 19:50:44 2024 6 relations: 743100
  131. Sun Nov 10 19:50:44 2024 7 relations: 715451
  132. Sun Nov 10 19:50:44 2024 8 relations: 666212
  133. Sun Nov 10 19:50:44 2024 9 relations: 612870
  134. Sun Nov 10 19:50:44 2024 10+ relations: 3103548
  135. Sun Nov 10 19:50:44 2024 heaviest cycle: 28 relations
  136. Sun Nov 10 19:50:59 2024 RelProcTime: 3044
  137. Sun Nov 10 19:50:59 2024
  138. Sun Nov 10 19:50:59 2024 commencing linear algebra
  139. Sun Nov 10 19:50:59 2024 using VBITS=256
  140. Sun Nov 10 19:51:00 2024 read 9152760 cycles
  141. Sun Nov 10 19:51:15 2024 cycles contain 29878603 unique relations
  142. Sun Nov 10 19:52:59 2024 read 29878603 relations
  143. Sun Nov 10 19:53:37 2024 using 20 quadratic characters above 4294917295
  144. Sun Nov 10 19:55:33 2024 building initial matrix
  145. Sun Nov 10 20:00:38 2024 memory use: 3634.5 MB
  146. Sun Nov 10 20:00:41 2024 read 9152760 cycles
  147. Sun Nov 10 20:00:42 2024 matrix is 9152583 x 9152760 (4002.7 MB) with weight 1140119622 (124.57/col)
  148. Sun Nov 10 20:00:42 2024 sparse part has weight 957753986 (104.64/col)
  149. Sun Nov 10 20:02:18 2024 filtering completed in 2 passes
  150. Sun Nov 10 20:02:19 2024 matrix is 9152422 x 9152592 (4002.7 MB) with weight 1140114479 (124.57/col)
  151. Sun Nov 10 20:02:19 2024 sparse part has weight 957752128 (104.64/col)
  152. Sun Nov 10 20:02:43 2024 matrix starts at (0, 0)
  153. Sun Nov 10 20:02:44 2024 matrix is 9152422 x 9152592 (4002.7 MB) with weight 1140114479 (124.57/col)
  154. Sun Nov 10 20:02:44 2024 sparse part has weight 957752128 (104.64/col)
  155. Sun Nov 10 20:02:44 2024 saving the first 240 matrix rows for later
  156. Sun Nov 10 20:02:45 2024 matrix includes 256 packed rows
  157. Sun Nov 10 20:02:49 2024 matrix is 9152182 x 9152592 (3698.2 MB) with weight 868995097 (94.95/col)
  158. Sun Nov 10 20:02:49 2024 sparse part has weight 823013300 (89.92/col)
  159. Sun Nov 10 20:02:49 2024 using GPU 0 (NVIDIA GeForce RTX 3060)
  160. Sun Nov 10 20:02:49 2024 selected card has CUDA arch 8.6
  161. Sun Nov 10 20:08:57 2024
  162. Sun Nov 10 20:08:57 2024
  163. Sun Nov 10 20:08:57 2024 Msieve v. 1.54 (SVN unknown)
  164. Sun Nov 10 20:08:57 2024 random seeds: 6ea1eadb 1e63fa7f
  165. Sun Nov 10 20:08:57 2024 factoring 24409934569180907634569074765878937437127289563845080470427946204638084216027352508783265605283374235995080033040585119470624271166997970282958790063779622038215903650855239265852265260665154024990193952519830841517623048873 (224 digits)
  166. Sun Nov 10 20:08:58 2024 no P-1/P+1/ECM available, skipping
  167. Sun Nov 10 20:08:58 2024 commencing number field sieve (224-digit input)
  168. Sun Nov 10 20:08:58 2024 R0: 733808524516385808949551614305062311761
  169. Sun Nov 10 20:08:58 2024 R1: -1
  170. Sun Nov 10 20:08:58 2024 A0: -1733
  171. Sun Nov 10 20:08:58 2024 A1: 0
  172. Sun Nov 10 20:08:58 2024 A2: 0
  173. Sun Nov 10 20:08:58 2024 A3: 0
  174. Sun Nov 10 20:08:58 2024 A4: 0
  175. Sun Nov 10 20:08:58 2024 A5: 0
  176. Sun Nov 10 20:08:58 2024 A6: 1
  177. Sun Nov 10 20:08:58 2024 skew 4.43, size 7.163e-12, alpha 2.399, combined = 5.134e-13 rroots = 2
  178. Sun Nov 10 20:08:58 2024
  179. Sun Nov 10 20:08:58 2024 commencing linear algebra
  180. Sun Nov 10 20:08:58 2024 using VBITS=256
  181. Sun Nov 10 20:08:58 2024 skipping matrix build
  182. Sun Nov 10 20:09:08 2024 matrix starts at (0, 0)
  183. Sun Nov 10 20:09:09 2024 matrix is 9152422 x 9152592 (4002.7 MB) with weight 1140114479 (124.57/col)
  184. Sun Nov 10 20:09:09 2024 sparse part has weight 957752128 (104.64/col)
  185. Sun Nov 10 20:09:09 2024 saving the first 240 matrix rows for later
  186. Sun Nov 10 20:09:11 2024 matrix includes 256 packed rows
  187. Sun Nov 10 20:09:14 2024 matrix is 9152182 x 9152592 (3698.2 MB) with weight 868995097 (94.95/col)
  188. Sun Nov 10 20:09:14 2024 sparse part has weight 823013300 (89.92/col)
  189. Sun Nov 10 20:09:14 2024 using GPU 0 (NVIDIA GeForce RTX 3060)
  190. Sun Nov 10 20:09:14 2024 selected card has CUDA arch 8.6
  191. Sun Nov 10 20:10:08 2024 commencing Lanczos iteration
  192. Sun Nov 10 20:10:08 2024 memory use: 8792.9 MB
  193. Sun Nov 10 20:10:25 2024 linear algebra at 0.1%, ETA 5h38m
  194. Sun Nov 10 20:10:26 2024 checkpointing every 1590000 dimensions
  195. Mon Nov 11 01:53:09 2024 lanczos halted after 35859 iterations (dim = 9152180)
  196. Mon Nov 11 01:53:45 2024 recovered 34 nontrivial dependencies
  197. Mon Nov 11 01:53:45 2024 BLanczosTime: 20687
  198. Mon Nov 11 01:53:45 2024
  199. Mon Nov 11 01:53:45 2024 commencing square root phase
  200. Mon Nov 11 01:53:45 2024 handling dependencies 1 to 64
  201. Mon Nov 11 01:53:45 2024 reading relations for dependency 1
  202. Mon Nov 11 01:53:46 2024 read 4576332 cycles
  203. Mon Nov 11 01:53:54 2024 cycles contain 14940482 unique relations
  204. Mon Nov 11 01:54:51 2024 read 14940482 relations
  205. Mon Nov 11 01:55:48 2024 multiplying 14940482 relations
  206. Mon Nov 11 02:03:05 2024 multiply complete, coefficients have about 382.61 million bits
  207. Mon Nov 11 02:03:06 2024 initial square root is modulo 7331689
  208. Mon Nov 11 02:11:34 2024 GCD is N, no factor found
  209. Mon Nov 11 02:11:34 2024 reading relations for dependency 2
  210. Mon Nov 11 02:11:35 2024 read 4577110 cycles
  211. Mon Nov 11 02:11:42 2024 cycles contain 14942598 unique relations
  212. Mon Nov 11 02:12:39 2024 read 14942598 relations
  213. Mon Nov 11 02:13:36 2024 multiplying 14942598 relations
  214. Mon Nov 11 02:20:53 2024 multiply complete, coefficients have about 382.66 million bits
  215. Mon Nov 11 02:20:54 2024 initial square root is modulo 7348933
  216. Mon Nov 11 02:29:23 2024 sqrtTime: 2138
  217. Mon Nov 11 02:29:23 2024 p84 factor: 100360198914059671864395812083704076494894663735777530248200200516698777744707952643
  218. Mon Nov 11 02:29:23 2024 p141 factor: 243223258157186338887275788400254421198178062683392502410046465563705307588760558552204403676071015759373889224705830989254362706622319888611
  219. Mon Nov 11 02:29:23 2024 elapsed time 06:20:26
  220.  
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