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Jul 6th, 2023
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  1. Thu Jul 6 10:56:39 2023
  2. Thu Jul 6 10:56:39 2023
  3. Thu Jul 6 10:56:39 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Jul 6 10:56:39 2023 random seeds: aaa702f1 3363c851
  5. Thu Jul 6 10:56:39 2023 factoring 424688031953800013598375820350084244375581426280436457623399475798356930263751701805205770649182190602494071760307610029941634481008012549405773932230487865279164040674017859107798607381882237087304371195416953393675204904113 (225 digits)
  6. Thu Jul 6 10:56:40 2023 no P-1/P+1/ECM available, skipping
  7. Thu Jul 6 10:56:40 2023 commencing number field sieve (225-digit input)
  8. Thu Jul 6 10:56:40 2023 R0: 27416457955919064382586938472433618031
  9. Thu Jul 6 10:56:40 2023 R1: -1
  10. Thu Jul 6 10:56:40 2023 A0: -1
  11. Thu Jul 6 10:56:40 2023 A1: 0
  12. Thu Jul 6 10:56:40 2023 A2: 0
  13. Thu Jul 6 10:56:40 2023 A3: 0
  14. Thu Jul 6 10:56:40 2023 A4: 0
  15. Thu Jul 6 10:56:40 2023 A5: 0
  16. Thu Jul 6 10:56:40 2023 A6: 222991
  17. Thu Jul 6 10:56:40 2023 skew 0.16, size 1.414e-11, alpha -0.771, combined = 8.361e-13 rroots = 2
  18. Thu Jul 6 10:56:40 2023
  19. Thu Jul 6 10:56:40 2023 commencing relation filtering
  20. Thu Jul 6 10:56:40 2023 setting target matrix density to 112.0
  21. Thu Jul 6 10:56:40 2023 estimated available RAM is 15960.0 MB
  22. Thu Jul 6 10:56:40 2023 commencing duplicate removal, pass 1
  23. Thu Jul 6 11:15:13 2023 error -15 reading relation 102070116
  24. Thu Jul 6 11:15:37 2023 skipped 246 relations with b > 2^32
  25. Thu Jul 6 11:15:37 2023 skipped 2 relations with composite factors
  26. Thu Jul 6 11:15:37 2023 found 4687107 hash collisions in 103584887 relations
  27. Thu Jul 6 11:15:56 2023 commencing duplicate removal, pass 2
  28. Thu Jul 6 11:16:41 2023 found 1 duplicates and 103584886 unique relations
  29. Thu Jul 6 11:16:41 2023 memory use: 261.2 MB
  30. Thu Jul 6 11:16:41 2023 reading ideals above 81985536
  31. Thu Jul 6 11:16:41 2023 commencing singleton removal, initial pass
  32. Thu Jul 6 11:29:17 2023 memory use: 2756.0 MB
  33. Thu Jul 6 11:29:17 2023 reading all ideals from disk
  34. Thu Jul 6 11:29:18 2023 memory use: 1838.6 MB
  35. Thu Jul 6 11:29:23 2023 commencing in-memory singleton removal
  36. Thu Jul 6 11:29:28 2023 begin with 103584886 relations and 83713175 unique ideals
  37. Thu Jul 6 11:30:13 2023 reduce to 70981535 relations and 48061928 ideals in 12 passes
  38. Thu Jul 6 11:30:13 2023 max relations containing the same ideal: 42
  39. Thu Jul 6 11:30:18 2023 reading ideals above 720000
  40. Thu Jul 6 11:30:18 2023 commencing singleton removal, initial pass
  41. Thu Jul 6 11:39:49 2023 memory use: 1506.0 MB
  42. Thu Jul 6 11:39:49 2023 reading all ideals from disk
  43. Thu Jul 6 11:39:54 2023 memory use: 2682.2 MB
  44. Thu Jul 6 11:40:03 2023 keeping 57253139 ideals with weight <= 200, target excess is 361735
  45. Thu Jul 6 11:40:12 2023 commencing in-memory singleton removal
  46. Thu Jul 6 11:40:20 2023 begin with 70981535 relations and 57253139 unique ideals
  47. Thu Jul 6 11:41:02 2023 reduce to 70979195 relations and 57250799 ideals in 6 passes
  48. Thu Jul 6 11:41:02 2023 max relations containing the same ideal: 200
  49. Thu Jul 6 11:41:42 2023 removing 8721144 relations and 6721144 ideals in 2000000 cliques
  50. Thu Jul 6 11:41:46 2023 commencing in-memory singleton removal
  51. Thu Jul 6 11:41:54 2023 begin with 62258051 relations and 57250799 unique ideals
  52. Thu Jul 6 11:42:49 2023 reduce to 61331368 relations and 49569847 ideals in 9 passes
  53. Thu Jul 6 11:42:49 2023 max relations containing the same ideal: 191
  54. Thu Jul 6 11:43:25 2023 removing 7004897 relations and 5004897 ideals in 2000000 cliques
  55. Thu Jul 6 11:43:29 2023 commencing in-memory singleton removal
  56. Thu Jul 6 11:43:34 2023 begin with 54326471 relations and 49569847 unique ideals
  57. Thu Jul 6 11:44:14 2023 reduce to 53664246 relations and 43880814 ideals in 7 passes
  58. Thu Jul 6 11:44:14 2023 max relations containing the same ideal: 179
  59. Thu Jul 6 11:44:46 2023 removing 6527896 relations and 4527896 ideals in 2000000 cliques
  60. Thu Jul 6 11:44:49 2023 commencing in-memory singleton removal
  61. Thu Jul 6 11:44:53 2023 begin with 47136350 relations and 43880814 unique ideals
  62. Thu Jul 6 11:45:23 2023 reduce to 46517265 relations and 38712117 ideals in 8 passes
  63. Thu Jul 6 11:45:23 2023 max relations containing the same ideal: 167
  64. Thu Jul 6 11:45:47 2023 removing 6302202 relations and 4302202 ideals in 2000000 cliques
  65. Thu Jul 6 11:45:49 2023 commencing in-memory singleton removal
  66. Thu Jul 6 11:45:53 2023 begin with 40215063 relations and 38712117 unique ideals
  67. Thu Jul 6 11:46:20 2023 reduce to 39586257 relations and 33756437 ideals in 8 passes
  68. Thu Jul 6 11:46:20 2023 max relations containing the same ideal: 151
  69. Thu Jul 6 11:46:41 2023 removing 6170661 relations and 4170661 ideals in 2000000 cliques
  70. Thu Jul 6 11:46:43 2023 commencing in-memory singleton removal
  71. Thu Jul 6 11:46:46 2023 begin with 33415596 relations and 33756437 unique ideals
  72. Thu Jul 6 11:47:04 2023 reduce to 32743852 relations and 28883343 ideals in 7 passes
  73. Thu Jul 6 11:47:04 2023 max relations containing the same ideal: 129
  74. Thu Jul 6 11:47:20 2023 removing 6080733 relations and 4080733 ideals in 2000000 cliques
  75. Thu Jul 6 11:47:22 2023 commencing in-memory singleton removal
  76. Thu Jul 6 11:47:24 2023 begin with 26663119 relations and 28883343 unique ideals
  77. Thu Jul 6 11:47:40 2023 reduce to 25906174 relations and 24004373 ideals in 8 passes
  78. Thu Jul 6 11:47:40 2023 max relations containing the same ideal: 116
  79. Thu Jul 6 11:47:52 2023 removing 4714469 relations and 3232281 ideals in 1482188 cliques
  80. Thu Jul 6 11:47:54 2023 commencing in-memory singleton removal
  81. Thu Jul 6 11:47:56 2023 begin with 21191705 relations and 24004373 unique ideals
  82. Thu Jul 6 11:48:08 2023 reduce to 20613874 relations and 20164680 ideals in 7 passes
  83. Thu Jul 6 11:48:08 2023 max relations containing the same ideal: 98
  84. Thu Jul 6 11:48:18 2023 removing 188244 relations and 158663 ideals in 29581 cliques
  85. Thu Jul 6 11:48:19 2023 commencing in-memory singleton removal
  86. Thu Jul 6 11:48:22 2023 begin with 20425630 relations and 20164680 unique ideals
  87. Thu Jul 6 11:48:28 2023 reduce to 20424458 relations and 20004842 ideals in 5 passes
  88. Thu Jul 6 11:48:28 2023 max relations containing the same ideal: 97
  89. Thu Jul 6 11:48:34 2023 relations with 0 large ideals: 13063
  90. Thu Jul 6 11:48:34 2023 relations with 1 large ideals: 5343
  91. Thu Jul 6 11:48:34 2023 relations with 2 large ideals: 51718
  92. Thu Jul 6 11:48:34 2023 relations with 3 large ideals: 379613
  93. Thu Jul 6 11:48:34 2023 relations with 4 large ideals: 1513056
  94. Thu Jul 6 11:48:34 2023 relations with 5 large ideals: 3589499
  95. Thu Jul 6 11:48:34 2023 relations with 6 large ideals: 5309695
  96. Thu Jul 6 11:48:34 2023 relations with 7+ large ideals: 9562471
  97. Thu Jul 6 11:48:34 2023 commencing 2-way merge
  98. Thu Jul 6 11:48:47 2023 reduce to 13704351 relation sets and 13284735 unique ideals
  99. Thu Jul 6 11:48:47 2023 commencing full merge
  100. Thu Jul 6 11:54:54 2023 memory use: 1785.4 MB
  101. Thu Jul 6 11:54:55 2023 found 6310426 cycles, need 6288935
  102. Thu Jul 6 11:54:58 2023 weight of 6288935 cycles is about 704922834 (112.09/cycle)
  103. Thu Jul 6 11:54:58 2023 distribution of cycle lengths:
  104. Thu Jul 6 11:54:58 2023 1 relations: 241297
  105. Thu Jul 6 11:54:58 2023 2 relations: 393215
  106. Thu Jul 6 11:54:58 2023 3 relations: 478359
  107. Thu Jul 6 11:54:58 2023 4 relations: 498313
  108. Thu Jul 6 11:54:58 2023 5 relations: 514412
  109. Thu Jul 6 11:54:58 2023 6 relations: 502499
  110. Thu Jul 6 11:54:58 2023 7 relations: 486310
  111. Thu Jul 6 11:54:58 2023 8 relations: 454954
  112. Thu Jul 6 11:54:58 2023 9 relations: 419710
  113. Thu Jul 6 11:54:58 2023 10+ relations: 2299866
  114. Thu Jul 6 11:54:58 2023 heaviest cycle: 28 relations
  115. Thu Jul 6 11:55:00 2023 commencing cycle optimization
  116. Thu Jul 6 11:55:14 2023 start with 53382102 relations
  117. Thu Jul 6 11:57:28 2023 pruned 2480463 relations
  118. Thu Jul 6 11:57:28 2023 memory use: 1403.7 MB
  119. Thu Jul 6 11:57:29 2023 distribution of cycle lengths:
  120. Thu Jul 6 11:57:29 2023 1 relations: 241297
  121. Thu Jul 6 11:57:29 2023 2 relations: 403685
  122. Thu Jul 6 11:57:29 2023 3 relations: 499744
  123. Thu Jul 6 11:57:29 2023 4 relations: 520749
  124. Thu Jul 6 11:57:29 2023 5 relations: 541642
  125. Thu Jul 6 11:57:29 2023 6 relations: 527923
  126. Thu Jul 6 11:57:29 2023 7 relations: 511948
  127. Thu Jul 6 11:57:29 2023 8 relations: 475061
  128. Thu Jul 6 11:57:29 2023 9 relations: 436179
  129. Thu Jul 6 11:57:29 2023 10+ relations: 2130707
  130. Thu Jul 6 11:57:29 2023 heaviest cycle: 28 relations
  131. Thu Jul 6 11:57:45 2023 RelProcTime: 3665
  132. Thu Jul 6 11:57:45 2023 elapsed time 01:01:06
  133. Thu Jul 6 11:58:51 2023
  134. Thu Jul 6 11:58:51 2023
  135. Thu Jul 6 11:58:51 2023 Msieve v. 1.54 (SVN Unversioned directory)
  136. Thu Jul 6 11:58:51 2023 random seeds: c8a5a6e2 18b9f482
  137. Thu Jul 6 11:58:51 2023 factoring 424688031953800013598375820350084244375581426280436457623399475798356930263751701805205770649182190602494071760307610029941634481008012549405773932230487865279164040674017859107798607381882237087304371195416953393675204904113 (225 digits)
  138. Thu Jul 6 11:58:52 2023 no P-1/P+1/ECM available, skipping
  139. Thu Jul 6 11:58:52 2023 commencing number field sieve (225-digit input)
  140. Thu Jul 6 11:58:52 2023 R0: 27416457955919064382586938472433618031
  141. Thu Jul 6 11:58:52 2023 R1: -1
  142. Thu Jul 6 11:58:52 2023 A0: -1
  143. Thu Jul 6 11:58:52 2023 A1: 0
  144. Thu Jul 6 11:58:52 2023 A2: 0
  145. Thu Jul 6 11:58:52 2023 A3: 0
  146. Thu Jul 6 11:58:52 2023 A4: 0
  147. Thu Jul 6 11:58:52 2023 A5: 0
  148. Thu Jul 6 11:58:52 2023 A6: 222991
  149. Thu Jul 6 11:58:52 2023 skew 0.16, size 1.414e-11, alpha -0.771, combined = 8.361e-13 rroots = 2
  150. Thu Jul 6 11:58:52 2023
  151. Thu Jul 6 11:58:52 2023 commencing linear algebra
  152. Thu Jul 6 11:58:52 2023 using VBITS=512
  153. Thu Jul 6 11:58:53 2023 read 6288935 cycles
  154. Thu Jul 6 11:59:06 2023 cycles contain 20203215 unique relations
  155. Thu Jul 6 12:01:34 2023 read 20203215 relations
  156. Thu Jul 6 12:02:09 2023 using 20 quadratic characters above 4294917295
  157. Thu Jul 6 12:03:53 2023 building initial matrix
  158. Thu Jul 6 12:08:32 2023 memory use: 2671.3 MB
  159. Thu Jul 6 12:08:35 2023 read 6288935 cycles
  160. Thu Jul 6 12:08:36 2023 matrix is 6288758 x 6288935 (2792.4 MB) with weight 825909544 (131.33/col)
  161. Thu Jul 6 12:08:36 2023 sparse part has weight 662820435 (105.39/col)
  162. Thu Jul 6 12:09:51 2023 filtering completed in 2 passes
  163. Thu Jul 6 12:09:53 2023 matrix is 6288643 x 6288802 (2792.3 MB) with weight 825904939 (131.33/col)
  164. Thu Jul 6 12:09:53 2023 sparse part has weight 662819120 (105.40/col)
  165. Thu Jul 6 12:10:10 2023 matrix starts at (0, 0)
  166. Thu Jul 6 12:10:11 2023 matrix is 6288643 x 6288802 (2792.3 MB) with weight 825904939 (131.33/col)
  167. Thu Jul 6 12:10:11 2023 sparse part has weight 662819120 (105.40/col)
  168. Thu Jul 6 12:10:11 2023 saving the first 496 matrix rows for later
  169. Thu Jul 6 12:10:13 2023 matrix includes 512 packed rows
  170. Thu Jul 6 12:10:18 2023 matrix is 6288147 x 6288802 (2609.9 MB) with weight 567501835 (90.24/col)
  171. Thu Jul 6 12:10:18 2023 sparse part has weight 533234722 (84.79/col)
  172. Thu Jul 6 12:10:18 2023 using GPU 0 (NVIDIA GeForce RTX 3060)
  173. Thu Jul 6 12:10:18 2023 selected card has CUDA arch 8.6
  174. Thu Jul 6 12:11:03 2023 commencing Lanczos iteration
  175. Thu Jul 6 12:11:04 2023 memory use: 7234.9 MB
  176. Thu Jul 6 12:11:27 2023 linear algebra at 0.2%, ETA 2h36m
  177. Thu Jul 6 12:11:27 2023 checkpointing every 2490000 dimensions
  178. Thu Jul 6 14:41:39 2023 lanczos halted after 12302 iterations (dim = 6288147)
  179. Thu Jul 6 14:42:41 2023 recovered 38 nontrivial dependencies
  180. Thu Jul 6 14:42:41 2023 BLanczosTime: 9829
  181. Thu Jul 6 14:42:41 2023
  182. Thu Jul 6 14:42:41 2023 commencing square root phase
  183. Thu Jul 6 14:42:41 2023 handling dependencies 1 to 64
  184. Thu Jul 6 14:42:41 2023 reading relations for dependency 1
  185. Thu Jul 6 14:42:42 2023 read 3144411 cycles
  186. Thu Jul 6 14:42:47 2023 cycles contain 10102652 unique relations
  187. Thu Jul 6 14:43:38 2023 read 10102652 relations
  188. Thu Jul 6 14:44:16 2023 multiplying 10102652 relations
  189. Thu Jul 6 14:53:24 2023 multiply complete, coefficients have about 412.43 million bits
  190. Thu Jul 6 14:53:25 2023 initial square root is modulo 25140859
  191. Thu Jul 6 15:03:38 2023 found factor: 75208872387278759476687205007448057396276014010536419800436193669698460921565062993391
  192. Thu Jul 6 15:03:38 2023 reading relations for dependency 2
  193. Thu Jul 6 15:03:39 2023 read 3143178 cycles
  194. Thu Jul 6 15:03:44 2023 cycles contain 10102114 unique relations
  195. Thu Jul 6 15:04:35 2023 read 10102114 relations
  196. Thu Jul 6 15:05:12 2023 multiplying 10102114 relations
  197. Thu Jul 6 15:14:19 2023 multiply complete, coefficients have about 412.41 million bits
  198. Thu Jul 6 15:14:20 2023 initial square root is modulo 25116583
  199. Thu Jul 6 15:24:34 2023 sqrtTime: 2513
  200. Thu Jul 6 15:24:34 2023 p56 factor: 80877684170080174229366456588953508014350533351805891509
  201. Thu Jul 6 15:24:34 2023 p83 factor: 69818777111104445724228511643856537282320550114465845226983544553553043634899823427
  202. Thu Jul 6 15:24:34 2023 p86 factor: 75208872387278759476687205007448057396276014010536419800436193669698460921565062993391
  203. Thu Jul 6 15:24:34 2023 elapsed time 03:25:43
  204.  
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