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  1. Fri Mar 24 21:31:32 2023 Msieve v. 1.54 (SVN 03e8738)
  2. Fri Mar 24 21:31:32 2023 random seeds: e1497037 6f4d0847
  3. Fri Mar 24 21:31:32 2023 Using 16 OpenMP threads
  4. Fri Mar 24 21:31:32 2023 factoring 21801138886847983196811462255094573359567010270610859808208988657060458058193467322731719693734839601491061798257772160437334785281073980091215778539691379694335696096630545231793342550158457166706392634686261763990355799673060601144797 (236 digits)
  5. Fri Mar 24 21:31:33 2023 no P-1/P+1/ECM available, skipping
  6. Fri Mar 24 21:31:33 2023 commencing number field sieve (236-digit input)
  7. Fri Mar 24 21:31:33 2023 R0: 178662885165766044010374357658411127669164935
  8. Fri Mar 24 21:31:33 2023 R1: -1809433571636962244892600015670556273672192
  9. Fri Mar 24 21:31:33 2023 A0: -2744
  10. Fri Mar 24 21:31:33 2023 A1: -5488
  11. Fri Mar 24 21:31:33 2023 A2: -3136
  12. Fri Mar 24 21:31:33 2023 A3: -588
  13. Fri Mar 24 21:31:33 2023 A4: 14
  14. Fri Mar 24 21:31:33 2023 A5: 14
  15. Fri Mar 24 21:31:33 2023 A6: 1
  16. Fri Mar 24 21:31:33 2023 skew 3.74, size 3.575e-13, alpha 1.665, combined = 5.117e-14 rroots = 6
  17. Fri Mar 24 21:31:33 2023
  18. Fri Mar 24 21:31:33 2023 commencing relation filtering
  19. Fri Mar 24 21:31:33 2023 setting target matrix density to 110.0
  20. Fri Mar 24 21:31:33 2023 estimated available RAM is 64238.6 MB
  21. Fri Mar 24 21:31:33 2023 commencing duplicate removal, pass 1
  22. Fri Mar 24 21:33:34 2023 error -15 reading relation 162644747
  23. Fri Mar 24 21:33:58 2023 error -11 reading relation 195941069
  24. Fri Mar 24 21:35:07 2023 error -1 reading relation 291585682
  25. Fri Mar 24 21:35:13 2023 error -11 reading relation 299471321
  26. Fri Mar 24 21:35:14 2023 skipped 182 relations with b > 2^32
  27. Fri Mar 24 21:35:14 2023 found 10067667 hash collisions in 300884328 relations
  28. Fri Mar 24 21:35:18 2023 added 2438409 free relations
  29. Fri Mar 24 21:35:18 2023 commencing duplicate removal, pass 2
  30. Fri Mar 24 21:36:10 2023 found 0 duplicates and 303322737 unique relations
  31. Fri Mar 24 21:36:10 2023 memory use: 810.4 MB
  32. Fri Mar 24 21:36:10 2023 reading ideals above 219873280
  33. Fri Mar 24 21:36:10 2023 commencing singleton removal, initial pass
  34. Fri Mar 24 21:43:37 2023 memory use: 6024.0 MB
  35. Fri Mar 24 21:43:37 2023 reading all ideals from disk
  36. Fri Mar 24 21:43:38 2023 memory use: 7791.4 MB
  37. Fri Mar 24 21:43:44 2023 commencing in-memory singleton removal
  38. Fri Mar 24 21:43:47 2023 begin with 303322737 relations and 252868682 unique ideals
  39. Fri Mar 24 21:44:09 2023 reduce to 215864131 relations and 160134694 ideals in 16 passes
  40. Fri Mar 24 21:44:09 2023 max relations containing the same ideal: 46
  41. Fri Mar 24 21:44:13 2023 reading ideals above 720000
  42. Fri Mar 24 21:44:13 2023 commencing singleton removal, initial pass
  43. Fri Mar 24 21:52:49 2023 memory use: 5512.0 MB
  44. Fri Mar 24 21:52:49 2023 reading all ideals from disk
  45. Fri Mar 24 21:52:50 2023 memory use: 10691.6 MB
  46. Fri Mar 24 21:53:00 2023 keeping 183251978 ideals with weight <= 200, target excess is 1113756
  47. Fri Mar 24 21:53:13 2023 commencing in-memory singleton removal
  48. Fri Mar 24 21:53:17 2023 begin with 215864131 relations and 183251978 unique ideals
  49. Fri Mar 24 21:53:30 2023 reduce to 215863774 relations and 183251621 ideals in 6 passes
  50. Fri Mar 24 21:53:30 2023 max relations containing the same ideal: 200
  51. Fri Mar 24 21:54:10 2023 removing 14614116 relations and 12614116 ideals in 2000000 cliques
  52. Fri Mar 24 21:54:14 2023 commencing in-memory singleton removal
  53. Fri Mar 24 21:54:18 2023 begin with 201249658 relations and 183251621 unique ideals
  54. Fri Mar 24 21:54:37 2023 reduce to 200434459 relations and 169811775 ideals in 9 passes
  55. Fri Mar 24 21:54:37 2023 max relations containing the same ideal: 199
  56. Fri Mar 24 21:55:14 2023 removing 10950413 relations and 8950413 ideals in 2000000 cliques
  57. Fri Mar 24 21:55:18 2023 commencing in-memory singleton removal
  58. Fri Mar 24 21:55:21 2023 begin with 189484046 relations and 169811775 unique ideals
  59. Fri Mar 24 21:55:38 2023 reduce to 188974165 relations and 160345865 ideals in 9 passes
  60. Fri Mar 24 21:55:38 2023 max relations containing the same ideal: 194
  61. Fri Mar 24 21:56:13 2023 removing 9810411 relations and 7810411 ideals in 2000000 cliques
  62. Fri Mar 24 21:56:17 2023 commencing in-memory singleton removal
  63. Fri Mar 24 21:56:20 2023 begin with 179163754 relations and 160345865 unique ideals
  64. Fri Mar 24 21:56:35 2023 reduce to 178726490 relations and 152093635 ideals in 8 passes
  65. Fri Mar 24 21:56:35 2023 max relations containing the same ideal: 187
  66. Fri Mar 24 21:57:08 2023 removing 9202417 relations and 7202417 ideals in 2000000 cliques
  67. Fri Mar 24 21:57:12 2023 commencing in-memory singleton removal
  68. Fri Mar 24 21:57:15 2023 begin with 169524073 relations and 152093635 unique ideals
  69. Fri Mar 24 21:57:28 2023 reduce to 169119106 relations and 144481785 ideals in 8 passes
  70. Fri Mar 24 21:57:28 2023 max relations containing the same ideal: 182
  71. Fri Mar 24 21:58:00 2023 removing 8811701 relations and 6811701 ideals in 2000000 cliques
  72. Fri Mar 24 21:58:03 2023 commencing in-memory singleton removal
  73. Fri Mar 24 21:58:06 2023 begin with 160307405 relations and 144481785 unique ideals
  74. Fri Mar 24 21:58:18 2023 reduce to 159917488 relations and 137275789 ideals in 7 passes
  75. Fri Mar 24 21:58:18 2023 max relations containing the same ideal: 174
  76. Fri Mar 24 21:58:48 2023 removing 8549258 relations and 6549258 ideals in 2000000 cliques
  77. Fri Mar 24 21:58:51 2023 commencing in-memory singleton removal
  78. Fri Mar 24 21:58:54 2023 begin with 151368230 relations and 137275789 unique ideals
  79. Fri Mar 24 21:59:07 2023 reduce to 150982545 relations and 130336348 ideals in 8 passes
  80. Fri Mar 24 21:59:07 2023 max relations containing the same ideal: 169
  81. Fri Mar 24 21:59:36 2023 removing 8355426 relations and 6355426 ideals in 2000000 cliques
  82. Fri Mar 24 21:59:39 2023 commencing in-memory singleton removal
  83. Fri Mar 24 21:59:41 2023 begin with 142627119 relations and 130336348 unique ideals
  84. Fri Mar 24 21:59:51 2023 reduce to 142239382 relations and 123588608 ideals in 7 passes
  85. Fri Mar 24 21:59:51 2023 max relations containing the same ideal: 161
  86. Fri Mar 24 22:00:19 2023 removing 8219021 relations and 6219021 ideals in 2000000 cliques
  87. Fri Mar 24 22:00:22 2023 commencing in-memory singleton removal
  88. Fri Mar 24 22:00:24 2023 begin with 134020361 relations and 123588608 unique ideals
  89. Fri Mar 24 22:00:35 2023 reduce to 133625700 relations and 116969776 ideals in 8 passes
  90. Fri Mar 24 22:00:35 2023 max relations containing the same ideal: 156
  91. Fri Mar 24 22:01:00 2023 removing 8126725 relations and 6126725 ideals in 2000000 cliques
  92. Fri Mar 24 22:01:03 2023 commencing in-memory singleton removal
  93. Fri Mar 24 22:01:05 2023 begin with 125498975 relations and 116969776 unique ideals
  94. Fri Mar 24 22:01:14 2023 reduce to 125094259 relations and 110432813 ideals in 7 passes
  95. Fri Mar 24 22:01:14 2023 max relations containing the same ideal: 148
  96. Fri Mar 24 22:01:39 2023 removing 8059863 relations and 6059863 ideals in 2000000 cliques
  97. Fri Mar 24 22:01:42 2023 commencing in-memory singleton removal
  98. Fri Mar 24 22:01:44 2023 begin with 117034396 relations and 110432813 unique ideals
  99. Fri Mar 24 22:01:54 2023 reduce to 116612585 relations and 103945179 ideals in 8 passes
  100. Fri Mar 24 22:01:54 2023 max relations containing the same ideal: 142
  101. Fri Mar 24 22:02:17 2023 removing 8022005 relations and 6022005 ideals in 2000000 cliques
  102. Fri Mar 24 22:02:19 2023 commencing in-memory singleton removal
  103. Fri Mar 24 22:02:21 2023 begin with 108590580 relations and 103945179 unique ideals
  104. Fri Mar 24 22:02:30 2023 reduce to 108147544 relations and 97473477 ideals in 8 passes
  105. Fri Mar 24 22:02:30 2023 max relations containing the same ideal: 135
  106. Fri Mar 24 22:02:52 2023 removing 8008002 relations and 6008002 ideals in 2000000 cliques
  107. Fri Mar 24 22:02:54 2023 commencing in-memory singleton removal
  108. Fri Mar 24 22:02:56 2023 begin with 100139542 relations and 97473477 unique ideals
  109. Fri Mar 24 22:03:04 2023 reduce to 99667399 relations and 90985710 ideals in 8 passes
  110. Fri Mar 24 22:03:04 2023 max relations containing the same ideal: 127
  111. Fri Mar 24 22:03:24 2023 removing 8006591 relations and 6006591 ideals in 2000000 cliques
  112. Fri Mar 24 22:03:26 2023 commencing in-memory singleton removal
  113. Fri Mar 24 22:03:28 2023 begin with 91660808 relations and 90985710 unique ideals
  114. Fri Mar 24 22:03:36 2023 reduce to 91150750 relations and 84460348 ideals in 9 passes
  115. Fri Mar 24 22:03:36 2023 max relations containing the same ideal: 120
  116. Fri Mar 24 22:03:54 2023 removing 8029573 relations and 6029573 ideals in 2000000 cliques
  117. Fri Mar 24 22:03:57 2023 commencing in-memory singleton removal
  118. Fri Mar 24 22:03:58 2023 begin with 83121177 relations and 84460348 unique ideals
  119. Fri Mar 24 22:04:06 2023 reduce to 82565632 relations and 77864918 ideals in 9 passes
  120. Fri Mar 24 22:04:06 2023 max relations containing the same ideal: 115
  121. Fri Mar 24 22:04:23 2023 removing 8069971 relations and 6069971 ideals in 2000000 cliques
  122. Fri Mar 24 22:04:25 2023 commencing in-memory singleton removal
  123. Fri Mar 24 22:04:26 2023 begin with 74495661 relations and 77864918 unique ideals
  124. Fri Mar 24 22:04:33 2023 reduce to 73877347 relations and 71163835 ideals in 10 passes
  125. Fri Mar 24 22:04:33 2023 max relations containing the same ideal: 107
  126. Fri Mar 24 22:04:49 2023 removing 6180378 relations and 4758823 ideals in 1421555 cliques
  127. Fri Mar 24 22:04:51 2023 commencing in-memory singleton removal
  128. Fri Mar 24 22:04:52 2023 begin with 67696969 relations and 71163835 unique ideals
  129. Fri Mar 24 22:04:58 2023 reduce to 67302855 relations and 66004280 ideals in 9 passes
  130. Fri Mar 24 22:04:58 2023 max relations containing the same ideal: 103
  131. Fri Mar 24 22:05:19 2023 relations with 0 large ideals: 83876
  132. Fri Mar 24 22:05:19 2023 relations with 1 large ideals: 17969
  133. Fri Mar 24 22:05:19 2023 relations with 2 large ideals: 169845
  134. Fri Mar 24 22:05:19 2023 relations with 3 large ideals: 1203002
  135. Fri Mar 24 22:05:19 2023 relations with 4 large ideals: 4749673
  136. Fri Mar 24 22:05:19 2023 relations with 5 large ideals: 11301923
  137. Fri Mar 24 22:05:19 2023 relations with 6 large ideals: 16933332
  138. Fri Mar 24 22:05:19 2023 relations with 7+ large ideals: 32843235
  139. Fri Mar 24 22:05:19 2023 commencing 2-way merge
  140. Fri Mar 24 22:05:41 2023 reduce to 42496666 relation sets and 41198091 unique ideals
  141. Fri Mar 24 22:05:41 2023 commencing full merge
  142. Fri Mar 24 22:17:15 2023 memory use: 5794.2 MB
  143. Fri Mar 24 22:17:18 2023 found 19841355 cycles, need 19770291
  144. Fri Mar 24 22:17:22 2023 weight of 19770291 cycles is about 2175165136 (110.02/cycle)
  145. Fri Mar 24 22:17:22 2023 distribution of cycle lengths:
  146. Fri Mar 24 22:17:22 2023 1 relations: 1480258
  147. Fri Mar 24 22:17:22 2023 2 relations: 1549729
  148. Fri Mar 24 22:17:22 2023 3 relations: 1574545
  149. Fri Mar 24 22:17:22 2023 4 relations: 1507757
  150. Fri Mar 24 22:17:22 2023 5 relations: 1462674
  151. Fri Mar 24 22:17:22 2023 6 relations: 1409159
  152. Fri Mar 24 22:17:22 2023 7 relations: 1336635
  153. Fri Mar 24 22:17:22 2023 8 relations: 1262468
  154. Fri Mar 24 22:17:22 2023 9 relations: 1174332
  155. Fri Mar 24 22:17:22 2023 10+ relations: 7012734
  156. Fri Mar 24 22:17:22 2023 heaviest cycle: 28 relations
  157. Fri Mar 24 22:17:25 2023 commencing cycle optimization
  158. Fri Mar 24 22:17:51 2023 start with 161244037 relations
  159. Fri Mar 24 22:21:21 2023 pruned 6211200 relations
  160. Fri Mar 24 22:21:21 2023 memory use: 4432.6 MB
  161. Fri Mar 24 22:21:21 2023 distribution of cycle lengths:
  162. Fri Mar 24 22:21:21 2023 1 relations: 1480258
  163. Fri Mar 24 22:21:21 2023 2 relations: 1578638
  164. Fri Mar 24 22:21:21 2023 3 relations: 1627937
  165. Fri Mar 24 22:21:21 2023 4 relations: 1557671
  166. Fri Mar 24 22:21:21 2023 5 relations: 1522387
  167. Fri Mar 24 22:21:21 2023 6 relations: 1461508
  168. Fri Mar 24 22:21:21 2023 7 relations: 1391664
  169. Fri Mar 24 22:21:22 2023 8 relations: 1309635
  170. Fri Mar 24 22:21:22 2023 9 relations: 1215170
  171. Fri Mar 24 22:21:22 2023 10+ relations: 6625423
  172. Fri Mar 24 22:21:22 2023 heaviest cycle: 28 relations
  173. Fri Mar 24 22:21:43 2023 RelProcTime: 3010
  174. Fri Mar 24 22:21:43 2023
  175. Fri Mar 24 22:21:43 2023 commencing linear algebra
  176. Fri Mar 24 22:21:43 2023 using VBITS=256
  177. Fri Mar 24 22:21:43 2023 read 19770291 cycles
  178. Fri Mar 24 22:22:09 2023 cycles contain 66432064 unique relations
  179. Fri Mar 24 22:22:47 2023 read 66432064 relations
  180. Fri Mar 24 22:22:56 2023 using 20 quadratic characters above 4294917295
  181. Fri Mar 24 22:23:09 2023 building initial matrix
  182. Fri Mar 24 22:30:52 2023 memory use: 8233.2 MB
  183. Fri Mar 24 22:30:56 2023 read 19770291 cycles
  184. Fri Mar 24 22:30:58 2023 matrix is 19770113 x 19770291 (8596.8 MB) with weight 2446594707 (123.75/col)
  185. Fri Mar 24 22:30:58 2023 sparse part has weight 2055897674 (103.99/col)
  186. Fri Mar 24 22:33:15 2023 filtering completed in 2 passes
  187. Fri Mar 24 22:33:17 2023 matrix is 19769221 x 19769384 (8596.7 MB) with weight 2446566179 (123.76/col)
  188. Fri Mar 24 22:33:17 2023 sparse part has weight 2055887061 (103.99/col)
  189. Fri Mar 24 22:33:44 2023 matrix starts at (0, 0)
  190. Fri Mar 24 22:33:46 2023 matrix is 19769221 x 19769384 (8596.7 MB) with weight 2446566179 (123.76/col)
  191. Fri Mar 24 22:33:46 2023 sparse part has weight 2055887061 (103.99/col)
  192. Fri Mar 24 22:33:46 2023 saving the first 240 matrix rows for later
  193. Fri Mar 24 22:33:48 2023 matrix includes 256 packed rows
  194. Fri Mar 24 22:33:53 2023 matrix is 19768981 x 19769384 (8031.6 MB) with weight 1877857922 (94.99/col)
  195. Fri Mar 24 22:33:53 2023 sparse part has weight 1789122069 (90.50/col)
  196. Fri Mar 24 22:33:53 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  197. Fri Mar 24 22:33:53 2023 selected card has CUDA arch 8.6
  198. Fri Mar 24 22:35:12 2023 commencing Lanczos iteration
  199. Fri Mar 24 22:35:13 2023 memory use: 18778.1 MB
  200. Fri Mar 24 22:36:12 2023 linear algebra at 0.2%, ETA 10h33m
  201. Fri Mar 24 22:37:41 2023 checking every 30000 dimensions, checkpointing every 1890000 dimensions
  202. Sat Mar 25 09:07:10 2023 lanczos halted after 77455 iterations (dim = 19768980)
  203. Sat Mar 25 09:08:03 2023 recovered 34 nontrivial dependencies
  204. Sat Mar 25 09:08:03 2023 BLanczosTime: 38780
  205. Sat Mar 25 09:08:03 2023
  206. Sat Mar 25 09:08:03 2023 commencing square root phase
  207. Sat Mar 25 09:08:03 2023 handling dependencies 1 to 64
  208. Sat Mar 25 09:08:03 2023 reading relations for dependency 1
  209. Sat Mar 25 09:08:05 2023 read 9883313 cycles
  210. Sat Mar 25 09:08:18 2023 cycles contain 33205588 unique relations
  211. Sat Mar 25 09:09:05 2023 read 33205588 relations
  212. Sat Mar 25 09:10:39 2023 multiplying 33205588 relations
  213. Sat Mar 25 09:17:04 2023 multiply complete, coefficients have about 910.07 million bits
  214. Sat Mar 25 09:17:06 2023 initial square root is modulo 146126647
  215. Sat Mar 25 09:21:18 2023 sqrtTime: 795
  216. Sat Mar 25 09:21:18 2023 p64 factor: 8778200186292401406538325319459883557006690676256656419767205701
  217. Sat Mar 25 09:21:18 2023 p172 factor: 2483554535574564801499825604517000144106504387888416575663645988119258333624344543613875179858715696959519889012609688121449366895167871075095521400484349787857973910931897
  218. Sat Mar 25 09:21:18 2023 elapsed time 11:49:46
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