gchilders

5p2_434

Oct 11th, 2021
62
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  1. Mon Oct 11 01:48:34 2021
  2. Mon Oct 11 01:48:34 2021
  3. Mon Oct 11 01:48:34 2021 Msieve v. 1.54 (SVN unknown)
  4. Mon Oct 11 01:48:34 2021 random seeds: 7ba645ce 8f846456
  5. Mon Oct 11 01:48:34 2021 factoring 469575837204913457799882301313422396339139528995836167773817426144027965359065320882064848476731151000836468899966170431502668121307835349836599549390907429051563935511010655893138953354818776867422434704314112861989 (216 digits)
  6. Mon Oct 11 01:48:35 2021 no P-1/P+1/ECM available, skipping
  7. Mon Oct 11 01:48:35 2021 commencing number field sieve (216-digit input)
  8. Mon Oct 11 01:48:35 2021 R0: 21684043449710088680149056017398834228515625
  9. Mon Oct 11 01:48:35 2021 R1: -4611686018427387904
  10. Mon Oct 11 01:48:35 2021 A0: 1
  11. Mon Oct 11 01:48:35 2021 A1: -1
  12. Mon Oct 11 01:48:35 2021 A2: 1
  13. Mon Oct 11 01:48:35 2021 A3: -1
  14. Mon Oct 11 01:48:35 2021 A4: 1
  15. Mon Oct 11 01:48:35 2021 A5: -1
  16. Mon Oct 11 01:48:35 2021 A6: 1
  17. Mon Oct 11 01:48:35 2021 skew 1.00, size 8.075e-13, alpha 2.428, combined = 9.840e-14 rroots = 0
  18. Mon Oct 11 01:48:35 2021
  19. Mon Oct 11 01:48:35 2021 commencing relation filtering
  20. Mon Oct 11 01:48:35 2021 setting target matrix density to 110.0
  21. Mon Oct 11 01:48:35 2021 estimated available RAM is 515600.8 MB
  22. Mon Oct 11 01:48:35 2021 commencing duplicate removal, pass 1
  23. Mon Oct 11 02:11:05 2021 skipped 764 relations with b > 2^32
  24. Mon Oct 11 02:11:05 2021 skipped 289 relations with composite factors
  25. Mon Oct 11 02:11:05 2021 found 51093242 hash collisions in 247050449 relations
  26. Mon Oct 11 02:11:14 2021 added 2438534 free relations
  27. Mon Oct 11 02:11:14 2021 commencing duplicate removal, pass 2
  28. Mon Oct 11 02:14:57 2021 found 52311623 duplicates and 197177360 unique relations
  29. Mon Oct 11 02:14:57 2021 memory use: 1321.5 MB
  30. Mon Oct 11 02:14:57 2021 reading ideals above 720000
  31. Mon Oct 11 02:14:57 2021 commencing singleton removal, initial pass
  32. Mon Oct 11 02:34:21 2021 memory use: 5512.0 MB
  33. Mon Oct 11 02:34:22 2021 reading all ideals from disk
  34. Mon Oct 11 02:34:23 2021 memory use: 8154.9 MB
  35. Mon Oct 11 02:34:30 2021 keeping 179806546 ideals with weight <= 200, target excess is 1036556
  36. Mon Oct 11 02:34:41 2021 commencing in-memory singleton removal
  37. Mon Oct 11 02:34:46 2021 begin with 197177360 relations and 179806546 unique ideals
  38. Mon Oct 11 02:35:59 2021 reduce to 133725682 relations and 110383752 ideals in 15 passes
  39. Mon Oct 11 02:35:59 2021 max relations containing the same ideal: 166
  40. Mon Oct 11 02:36:29 2021 removing 11021239 relations and 9021239 ideals in 2000000 cliques
  41. Mon Oct 11 02:36:32 2021 commencing in-memory singleton removal
  42. Mon Oct 11 02:36:36 2021 begin with 122704443 relations and 110383752 unique ideals
  43. Mon Oct 11 02:37:14 2021 reduce to 121967153 relations and 100611009 ideals in 9 passes
  44. Mon Oct 11 02:37:14 2021 max relations containing the same ideal: 159
  45. Mon Oct 11 02:37:41 2021 removing 8455019 relations and 6455019 ideals in 2000000 cliques
  46. Mon Oct 11 02:37:44 2021 commencing in-memory singleton removal
  47. Mon Oct 11 02:37:48 2021 begin with 113512134 relations and 100611009 unique ideals
  48. Mon Oct 11 02:38:14 2021 reduce to 113021465 relations and 93656943 ideals in 7 passes
  49. Mon Oct 11 02:38:14 2021 max relations containing the same ideal: 151
  50. Mon Oct 11 02:38:40 2021 removing 7689732 relations and 5689732 ideals in 2000000 cliques
  51. Mon Oct 11 02:38:43 2021 commencing in-memory singleton removal
  52. Mon Oct 11 02:38:46 2021 begin with 105331733 relations and 93656943 unique ideals
  53. Mon Oct 11 02:39:15 2021 reduce to 104897058 relations and 87525073 ideals in 8 passes
  54. Mon Oct 11 02:39:15 2021 max relations containing the same ideal: 142
  55. Mon Oct 11 02:39:39 2021 removing 7309462 relations and 5309462 ideals in 2000000 cliques
  56. Mon Oct 11 02:39:41 2021 commencing in-memory singleton removal
  57. Mon Oct 11 02:39:44 2021 begin with 97587596 relations and 87525073 unique ideals
  58. Mon Oct 11 02:40:07 2021 reduce to 97172641 relations and 81793347 ideals in 7 passes
  59. Mon Oct 11 02:40:07 2021 max relations containing the same ideal: 135
  60. Mon Oct 11 02:40:30 2021 removing 7083801 relations and 5083801 ideals in 2000000 cliques
  61. Mon Oct 11 02:40:32 2021 commencing in-memory singleton removal
  62. Mon Oct 11 02:40:35 2021 begin with 90088840 relations and 81793347 unique ideals
  63. Mon Oct 11 02:40:59 2021 reduce to 89679532 relations and 76292522 ideals in 8 passes
  64. Mon Oct 11 02:40:59 2021 max relations containing the same ideal: 128
  65. Mon Oct 11 02:41:20 2021 removing 6940754 relations and 4940754 ideals in 2000000 cliques
  66. Mon Oct 11 02:41:23 2021 commencing in-memory singleton removal
  67. Mon Oct 11 02:41:25 2021 begin with 82738778 relations and 76292522 unique ideals
  68. Mon Oct 11 02:41:44 2021 reduce to 82320953 relations and 70925471 ideals in 7 passes
  69. Mon Oct 11 02:41:44 2021 max relations containing the same ideal: 122
  70. Mon Oct 11 02:42:04 2021 removing 6846071 relations and 4846071 ideals in 2000000 cliques
  71. Mon Oct 11 02:42:06 2021 commencing in-memory singleton removal
  72. Mon Oct 11 02:42:08 2021 begin with 75474882 relations and 70925471 unique ideals
  73. Mon Oct 11 02:42:29 2021 reduce to 75038200 relations and 65633410 ideals in 8 passes
  74. Mon Oct 11 02:42:29 2021 max relations containing the same ideal: 111
  75. Mon Oct 11 02:42:47 2021 removing 6797329 relations and 4797329 ideals in 2000000 cliques
  76. Mon Oct 11 02:42:49 2021 commencing in-memory singleton removal
  77. Mon Oct 11 02:42:51 2021 begin with 68240871 relations and 65633410 unique ideals
  78. Mon Oct 11 02:43:07 2021 reduce to 67777847 relations and 60362210 ideals in 7 passes
  79. Mon Oct 11 02:43:07 2021 max relations containing the same ideal: 104
  80. Mon Oct 11 02:43:23 2021 removing 6775706 relations and 4775706 ideals in 2000000 cliques
  81. Mon Oct 11 02:43:25 2021 commencing in-memory singleton removal
  82. Mon Oct 11 02:43:27 2021 begin with 61002141 relations and 60362210 unique ideals
  83. Mon Oct 11 02:43:41 2021 reduce to 60501650 relations and 55073124 ideals in 7 passes
  84. Mon Oct 11 02:43:41 2021 max relations containing the same ideal: 99
  85. Mon Oct 11 02:43:56 2021 removing 6774309 relations and 4774309 ideals in 2000000 cliques
  86. Mon Oct 11 02:43:58 2021 commencing in-memory singleton removal
  87. Mon Oct 11 02:43:59 2021 begin with 53727341 relations and 55073124 unique ideals
  88. Mon Oct 11 02:44:12 2021 reduce to 53170708 relations and 49726350 ideals in 7 passes
  89. Mon Oct 11 02:44:12 2021 max relations containing the same ideal: 94
  90. Mon Oct 11 02:44:25 2021 removing 6801169 relations and 4801169 ideals in 2000000 cliques
  91. Mon Oct 11 02:44:27 2021 commencing in-memory singleton removal
  92. Mon Oct 11 02:44:28 2021 begin with 46369539 relations and 49726350 unique ideals
  93. Mon Oct 11 02:44:40 2021 reduce to 45734981 relations and 44270295 ideals in 8 passes
  94. Mon Oct 11 02:44:40 2021 max relations containing the same ideal: 80
  95. Mon Oct 11 02:44:52 2021 removing 1307970 relations and 1045689 ideals in 262281 cliques
  96. Mon Oct 11 02:44:53 2021 commencing in-memory singleton removal
  97. Mon Oct 11 02:44:54 2021 begin with 44427011 relations and 44270295 unique ideals
  98. Mon Oct 11 02:45:03 2021 reduce to 44401234 relations and 43198656 ideals in 6 passes
  99. Mon Oct 11 02:45:03 2021 max relations containing the same ideal: 78
  100. Mon Oct 11 02:45:19 2021 relations with 0 large ideals: 77767
  101. Mon Oct 11 02:45:19 2021 relations with 1 large ideals: 19840
  102. Mon Oct 11 02:45:19 2021 relations with 2 large ideals: 178541
  103. Mon Oct 11 02:45:19 2021 relations with 3 large ideals: 1142888
  104. Mon Oct 11 02:45:19 2021 relations with 4 large ideals: 4035028
  105. Mon Oct 11 02:45:19 2021 relations with 5 large ideals: 8580763
  106. Mon Oct 11 02:45:19 2021 relations with 6 large ideals: 11501830
  107. Mon Oct 11 02:45:19 2021 relations with 7+ large ideals: 18864577
  108. Mon Oct 11 02:45:19 2021 commencing 2-way merge
  109. Mon Oct 11 02:45:35 2021 reduce to 29723326 relation sets and 28520748 unique ideals
  110. Mon Oct 11 02:45:35 2021 commencing full merge
  111. Mon Oct 11 02:53:36 2021 memory use: 4013.4 MB
  112. Mon Oct 11 02:53:39 2021 found 13989134 cycles, need 13876948
  113. Mon Oct 11 02:53:42 2021 weight of 13876948 cycles is about 1526576692 (110.01/cycle)
  114. Mon Oct 11 02:53:42 2021 distribution of cycle lengths:
  115. Mon Oct 11 02:53:42 2021 1 relations: 765271
  116. Mon Oct 11 02:53:42 2021 2 relations: 978182
  117. Mon Oct 11 02:53:42 2021 3 relations: 1098995
  118. Mon Oct 11 02:53:42 2021 4 relations: 1108028
  119. Mon Oct 11 02:53:42 2021 5 relations: 1099907
  120. Mon Oct 11 02:53:42 2021 6 relations: 1068293
  121. Mon Oct 11 02:53:42 2021 7 relations: 1022488
  122. Mon Oct 11 02:53:42 2021 8 relations: 958660
  123. Mon Oct 11 02:53:42 2021 9 relations: 887287
  124. Mon Oct 11 02:53:42 2021 10+ relations: 4889837
  125. Mon Oct 11 02:53:42 2021 heaviest cycle: 28 relations
  126. Mon Oct 11 02:53:44 2021 commencing cycle optimization
  127. Mon Oct 11 02:54:02 2021 start with 113211256 relations
  128. Mon Oct 11 02:56:43 2021 pruned 4980224 relations
  129. Mon Oct 11 02:56:43 2021 memory use: 3013.5 MB
  130. Mon Oct 11 02:56:43 2021 distribution of cycle lengths:
  131. Mon Oct 11 02:56:43 2021 1 relations: 765271
  132. Mon Oct 11 02:56:43 2021 2 relations: 999710
  133. Mon Oct 11 02:56:43 2021 3 relations: 1142849
  134. Mon Oct 11 02:56:43 2021 4 relations: 1152282
  135. Mon Oct 11 02:56:43 2021 5 relations: 1153904
  136. Mon Oct 11 02:56:43 2021 6 relations: 1116926
  137. Mon Oct 11 02:56:43 2021 7 relations: 1073329
  138. Mon Oct 11 02:56:43 2021 8 relations: 1001775
  139. Mon Oct 11 02:56:43 2021 9 relations: 923728
  140. Mon Oct 11 02:56:43 2021 10+ relations: 4547174
  141. Mon Oct 11 02:56:43 2021 heaviest cycle: 28 relations
  142. Mon Oct 11 02:56:56 2021 RelProcTime: 4101
  143. Mon Oct 11 02:56:56 2021
  144. Mon Oct 11 02:56:56 2021 commencing linear algebra
  145. Mon Oct 11 02:56:56 2021 using VBITS=384
  146. Mon Oct 11 02:56:57 2021 read 13876948 cycles
  147. Mon Oct 11 02:57:15 2021 cycles contain 43815498 unique relations
  148. Mon Oct 11 03:02:18 2021 read 43815498 relations
  149. Mon Oct 11 03:03:12 2021 using 20 quadratic characters above 4294917295
  150. Mon Oct 11 03:05:11 2021 building initial matrix
  151. Mon Oct 11 03:10:55 2021 memory use: 5567.7 MB
  152. Mon Oct 11 03:10:58 2021 read 13876948 cycles
  153. Mon Oct 11 03:11:00 2021 matrix is 13876770 x 13876948 (6060.5 MB) with weight 1720304620 (123.97/col)
  154. Mon Oct 11 03:11:00 2021 sparse part has weight 1436070351 (103.49/col)
  155. Mon Oct 11 03:12:25 2021 filtering completed in 2 passes
  156. Mon Oct 11 03:12:27 2021 matrix is 13876186 x 13876339 (6060.4 MB) with weight 1720285739 (123.97/col)
  157. Mon Oct 11 03:12:27 2021 sparse part has weight 1436063749 (103.49/col)
  158. Mon Oct 11 03:12:47 2021 matrix starts at (0, 0)
  159. Mon Oct 11 03:12:49 2021 matrix is 13876186 x 13876339 (6060.4 MB) with weight 1720285739 (123.97/col)
  160. Mon Oct 11 03:12:49 2021 sparse part has weight 1436063749 (103.49/col)
  161. Mon Oct 11 03:12:49 2021 saving the first 368 matrix rows for later
  162. Mon Oct 11 03:12:50 2021 matrix includes 384 packed rows
  163. Mon Oct 11 03:12:56 2021 matrix is 13875818 x 13876339 (5690.2 MB) with weight 1276122937 (91.96/col)
  164. Mon Oct 11 03:12:56 2021 sparse part has weight 1214119808 (87.50/col)
  165. Mon Oct 11 03:12:56 2021 using GPU 1 (Tesla V100-PCIE-32GB)
  166. Mon Oct 11 03:12:56 2021 selected card has CUDA arch 7.0
  167. Mon Oct 11 03:13:44 2021 commencing Lanczos iteration
  168. Mon Oct 11 03:13:45 2021 memory use: 14450.5 MB
  169. Mon Oct 11 03:13:50 2021 linear algebra at 0.0%, ETA 8h22m
  170. Mon Oct 11 03:13:54 2021 checkpointing every 1690000 dimensions
  171. Mon Oct 11 06:28:15 2021
  172. Mon Oct 11 06:28:15 2021
  173. Mon Oct 11 06:28:15 2021 Msieve v. 1.54 (SVN unknown)
  174. Mon Oct 11 06:28:15 2021 random seeds: 7334e243 612350b8
  175. Mon Oct 11 06:28:15 2021 factoring 469575837204913457799882301313422396339139528995836167773817426144027965359065320882064848476731151000836468899966170431502668121307835349836599549390907429051563935511010655893138953354818776867422434704314112861989 (216 digits)
  176. Mon Oct 11 06:28:16 2021 no P-1/P+1/ECM available, skipping
  177. Mon Oct 11 06:28:16 2021 commencing number field sieve (216-digit input)
  178. Mon Oct 11 06:28:16 2021 R0: 21684043449710088680149056017398834228515625
  179. Mon Oct 11 06:28:16 2021 R1: -4611686018427387904
  180. Mon Oct 11 06:28:16 2021 A0: 1
  181. Mon Oct 11 06:28:16 2021 A1: -1
  182. Mon Oct 11 06:28:16 2021 A2: 1
  183. Mon Oct 11 06:28:16 2021 A3: -1
  184. Mon Oct 11 06:28:16 2021 A4: 1
  185. Mon Oct 11 06:28:16 2021 A5: -1
  186. Mon Oct 11 06:28:16 2021 A6: 1
  187. Mon Oct 11 06:28:16 2021 skew 1.00, size 8.075e-13, alpha 2.428, combined = 9.840e-14 rroots = 0
  188. Mon Oct 11 06:28:16 2021
  189. Mon Oct 11 06:28:16 2021 commencing linear algebra
  190. Mon Oct 11 06:28:16 2021 using VBITS=384
  191. Mon Oct 11 06:28:23 2021 matrix starts at (0, 0)
  192. Mon Oct 11 06:28:24 2021 matrix is 13876186 x 13876339 (6060.4 MB) with weight 1720285739 (123.97/col)
  193. Mon Oct 11 06:28:24 2021 sparse part has weight 1436063749 (103.49/col)
  194. Mon Oct 11 06:28:24 2021 saving the first 368 matrix rows for later
  195. Mon Oct 11 06:28:27 2021 matrix includes 384 packed rows
  196. Mon Oct 11 06:28:32 2021 matrix is 13875818 x 13876339 (5690.2 MB) with weight 1276122937 (91.96/col)
  197. Mon Oct 11 06:28:32 2021 sparse part has weight 1214119808 (87.50/col)
  198. Mon Oct 11 06:28:32 2021 using GPU 1 (Tesla V100-PCIE-32GB)
  199. Mon Oct 11 06:28:32 2021 selected card has CUDA arch 7.0
  200. Mon Oct 11 06:29:23 2021 commencing Lanczos iteration
  201. Mon Oct 11 06:29:24 2021 memory use: 14450.5 MB
  202. Mon Oct 11 06:29:29 2021 restarting at iteration 13230 (dim = 5070230)
  203. Mon Oct 11 06:29:33 2021 linear algebra at 36.6%, ETA 4h14m
  204. Mon Oct 11 06:29:36 2021 checkpointing every 1980000 dimensions
  205. Mon Oct 11 11:04:38 2021 lanczos halted after 36208 iterations (dim = 13875816)
  206. Mon Oct 11 11:05:33 2021 recovered 39 nontrivial dependencies
  207. Mon Oct 11 11:05:33 2021 BLanczosTime: 16637
  208. Mon Oct 11 11:05:33 2021
  209. Mon Oct 11 11:05:33 2021 commencing square root phase
  210. Mon Oct 11 11:05:33 2021 reading relations for dependency 1
  211. Mon Oct 11 11:05:34 2021 read 6935912 cycles
  212. Mon Oct 11 11:05:44 2021 cycles contain 21902266 unique relations
  213. Mon Oct 11 11:09:35 2021 read 21902266 relations
  214. Mon Oct 11 11:10:39 2021 multiplying 21902266 relations
  215. Mon Oct 11 11:21:17 2021 multiply complete, coefficients have about 571.62 million bits
  216. Mon Oct 11 11:21:18 2021 initial square root is modulo 134417
  217. Mon Oct 11 11:32:56 2021 sqrtTime: 1643
  218. Mon Oct 11 11:32:56 2021 p100 factor: 6140062594424159415238216899833031362609698774882303442588981172316698922120981789402894323505973249
  219. Mon Oct 11 11:32:56 2021 p116 factor: 76477369730943635617250897932351955894022803677734582613692836603597037755696587384579935180790138224021562523156261
  220. Mon Oct 11 11:32:56 2021 elapsed time 05:04:41
  221.  
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