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Apr 19th, 2023
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  1. Tue Apr 18 17:46:18 2023
  2. Tue Apr 18 17:46:18 2023
  3. Tue Apr 18 17:46:18 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Apr 18 17:46:18 2023 random seeds: a9d2d8c2 3df56a63
  5. Tue Apr 18 17:46:18 2023 factoring 20106432542581814263853734617744006952420499963398742050450953222220247090181981478769758216038020320322889365022382224592987094168050040518876631026081432139021789702675084422893809603082634735198387831225189469257 (215 digits)
  6. Tue Apr 18 17:46:19 2023 no P-1/P+1/ECM available, skipping
  7. Tue Apr 18 17:46:19 2023 commencing number field sieve (215-digit input)
  8. Tue Apr 18 17:46:19 2023 R0: 333909910225265867617664613515264565321570114602
  9. Tue Apr 18 17:46:19 2023 R1: -577849383685113804256051
  10. Tue Apr 18 17:46:19 2023 A0: 1
  11. Tue Apr 18 17:46:19 2023 A1: 3
  12. Tue Apr 18 17:46:19 2023 A2: -3
  13. Tue Apr 18 17:46:19 2023 A3: -4
  14. Tue Apr 18 17:46:19 2023 A4: 1
  15. Tue Apr 18 17:46:19 2023 A5: 1
  16. Tue Apr 18 17:46:19 2023 skew 1.00, size 3.667e-16, alpha 2.379, combined = 4.826e-13 rroots = 5
  17. Tue Apr 18 17:46:19 2023
  18. Tue Apr 18 17:46:19 2023 commencing relation filtering
  19. Tue Apr 18 17:46:19 2023 setting target matrix density to 112.0
  20. Tue Apr 18 17:46:19 2023 estimated available RAM is 15960.0 MB
  21. Tue Apr 18 17:46:19 2023 commencing duplicate removal, pass 1
  22. Tue Apr 18 18:05:15 2023 skipped 95 relations with b > 2^32
  23. Tue Apr 18 18:05:15 2023 found 5192283 hash collisions in 152885709 relations
  24. Tue Apr 18 18:05:23 2023 added 2926300 free relations
  25. Tue Apr 18 18:05:23 2023 commencing duplicate removal, pass 2
  26. Tue Apr 18 18:06:06 2023 found 0 duplicates and 155812009 unique relations
  27. Tue Apr 18 18:06:06 2023 memory use: 506.4 MB
  28. Tue Apr 18 18:06:07 2023 reading ideals above 105971712
  29. Tue Apr 18 18:06:07 2023 commencing singleton removal, initial pass
  30. Tue Apr 18 18:20:35 2023 memory use: 3012.0 MB
  31. Tue Apr 18 18:20:35 2023 reading all ideals from disk
  32. Tue Apr 18 18:20:41 2023 memory use: 2853.5 MB
  33. Tue Apr 18 18:20:45 2023 commencing in-memory singleton removal
  34. Tue Apr 18 18:20:50 2023 begin with 155812009 relations and 125205840 unique ideals
  35. Tue Apr 18 18:21:42 2023 reduce to 110595735 relations and 76101940 ideals in 14 passes
  36. Tue Apr 18 18:21:42 2023 max relations containing the same ideal: 48
  37. Tue Apr 18 18:21:47 2023 reading ideals above 720000
  38. Tue Apr 18 18:21:47 2023 commencing singleton removal, initial pass
  39. Tue Apr 18 18:33:51 2023 memory use: 2756.0 MB
  40. Tue Apr 18 18:33:51 2023 reading all ideals from disk
  41. Tue Apr 18 18:33:58 2023 memory use: 4281.8 MB
  42. Tue Apr 18 18:34:08 2023 keeping 87732324 ideals with weight <= 200, target excess is 539832
  43. Tue Apr 18 18:34:20 2023 commencing in-memory singleton removal
  44. Tue Apr 18 18:34:28 2023 begin with 110595735 relations and 87732324 unique ideals
  45. Tue Apr 18 18:34:45 2023 reduce to 110595688 relations and 87732277 ideals in 2 passes
  46. Tue Apr 18 18:34:45 2023 max relations containing the same ideal: 200
  47. Tue Apr 18 18:35:28 2023 removing 9438742 relations and 7438742 ideals in 2000000 cliques
  48. Tue Apr 18 18:35:31 2023 commencing in-memory singleton removal
  49. Tue Apr 18 18:35:40 2023 begin with 101156946 relations and 87732277 unique ideals
  50. Tue Apr 18 18:36:32 2023 reduce to 100490309 relations and 79611060 ideals in 7 passes
  51. Tue Apr 18 18:36:32 2023 max relations containing the same ideal: 197
  52. Tue Apr 18 18:37:12 2023 removing 7341272 relations and 5341272 ideals in 2000000 cliques
  53. Tue Apr 18 18:37:15 2023 commencing in-memory singleton removal
  54. Tue Apr 18 18:37:22 2023 begin with 93149037 relations and 79611060 unique ideals
  55. Tue Apr 18 18:38:09 2023 reduce to 92692519 relations and 73803767 ideals in 7 passes
  56. Tue Apr 18 18:38:09 2023 max relations containing the same ideal: 187
  57. Tue Apr 18 18:38:45 2023 removing 6755404 relations and 4755404 ideals in 2000000 cliques
  58. Tue Apr 18 18:38:48 2023 commencing in-memory singleton removal
  59. Tue Apr 18 18:38:55 2023 begin with 85937115 relations and 73803767 unique ideals
  60. Tue Apr 18 18:39:49 2023 reduce to 85528575 relations and 68631142 ideals in 9 passes
  61. Tue Apr 18 18:39:49 2023 max relations containing the same ideal: 178
  62. Tue Apr 18 18:40:23 2023 removing 6474124 relations and 4474124 ideals in 2000000 cliques
  63. Tue Apr 18 18:40:26 2023 commencing in-memory singleton removal
  64. Tue Apr 18 18:40:31 2023 begin with 79054451 relations and 68631142 unique ideals
  65. Tue Apr 18 18:41:10 2023 reduce to 78659548 relations and 63753581 ideals in 7 passes
  66. Tue Apr 18 18:41:10 2023 max relations containing the same ideal: 169
  67. Tue Apr 18 18:41:40 2023 removing 6317637 relations and 4317637 ideals in 2000000 cliques
  68. Tue Apr 18 18:41:43 2023 commencing in-memory singleton removal
  69. Tue Apr 18 18:41:48 2023 begin with 72341911 relations and 63753581 unique ideals
  70. Tue Apr 18 18:42:23 2023 reduce to 71940456 relations and 59025413 ideals in 7 passes
  71. Tue Apr 18 18:42:23 2023 max relations containing the same ideal: 160
  72. Tue Apr 18 18:42:51 2023 removing 6231874 relations and 4231874 ideals in 2000000 cliques
  73. Tue Apr 18 18:42:54 2023 commencing in-memory singleton removal
  74. Tue Apr 18 18:42:58 2023 begin with 65708582 relations and 59025413 unique ideals
  75. Tue Apr 18 18:43:29 2023 reduce to 65287334 relations and 54361745 ideals in 7 passes
  76. Tue Apr 18 18:43:29 2023 max relations containing the same ideal: 150
  77. Tue Apr 18 18:43:55 2023 removing 6192220 relations and 4192220 ideals in 2000000 cliques
  78. Tue Apr 18 18:43:57 2023 commencing in-memory singleton removal
  79. Tue Apr 18 18:44:02 2023 begin with 59095114 relations and 54361745 unique ideals
  80. Tue Apr 18 18:44:29 2023 reduce to 58641136 relations and 49703408 ideals in 7 passes
  81. Tue Apr 18 18:44:29 2023 max relations containing the same ideal: 141
  82. Tue Apr 18 18:44:52 2023 removing 6194999 relations and 4194999 ideals in 2000000 cliques
  83. Tue Apr 18 18:44:55 2023 commencing in-memory singleton removal
  84. Tue Apr 18 18:44:58 2023 begin with 52446137 relations and 49703408 unique ideals
  85. Tue Apr 18 18:45:22 2023 reduce to 51941245 relations and 44988119 ideals in 7 passes
  86. Tue Apr 18 18:45:22 2023 max relations containing the same ideal: 131
  87. Tue Apr 18 18:45:42 2023 removing 6238975 relations and 4238975 ideals in 2000000 cliques
  88. Tue Apr 18 18:45:45 2023 commencing in-memory singleton removal
  89. Tue Apr 18 18:45:48 2023 begin with 45702270 relations and 44988119 unique ideals
  90. Tue Apr 18 18:46:10 2023 reduce to 45121828 relations and 40149111 ideals in 8 passes
  91. Tue Apr 18 18:46:10 2023 max relations containing the same ideal: 124
  92. Tue Apr 18 18:46:28 2023 removing 6322719 relations and 4322719 ideals in 2000000 cliques
  93. Tue Apr 18 18:46:30 2023 commencing in-memory singleton removal
  94. Tue Apr 18 18:46:32 2023 begin with 38799109 relations and 40149111 unique ideals
  95. Tue Apr 18 18:46:49 2023 reduce to 38104526 relations and 35104603 ideals in 7 passes
  96. Tue Apr 18 18:46:49 2023 max relations containing the same ideal: 107
  97. Tue Apr 18 18:47:04 2023 removing 6448162 relations and 4448162 ideals in 2000000 cliques
  98. Tue Apr 18 18:47:06 2023 commencing in-memory singleton removal
  99. Tue Apr 18 18:47:07 2023 begin with 31656364 relations and 35104603 unique ideals
  100. Tue Apr 18 18:47:23 2023 reduce to 30785798 relations and 29745021 ideals in 9 passes
  101. Tue Apr 18 18:47:23 2023 max relations containing the same ideal: 96
  102. Tue Apr 18 18:47:34 2023 removing 1925443 relations and 1510872 ideals in 414571 cliques
  103. Tue Apr 18 18:47:35 2023 commencing in-memory singleton removal
  104. Tue Apr 18 18:47:37 2023 begin with 28860355 relations and 29745021 unique ideals
  105. Tue Apr 18 18:47:47 2023 reduce to 28762326 relations and 28134820 ideals in 7 passes
  106. Tue Apr 18 18:47:47 2023 max relations containing the same ideal: 90
  107. Tue Apr 18 18:48:02 2023 relations with 0 large ideals: 44187
  108. Tue Apr 18 18:48:02 2023 relations with 1 large ideals: 6926
  109. Tue Apr 18 18:48:02 2023 relations with 2 large ideals: 84866
  110. Tue Apr 18 18:48:02 2023 relations with 3 large ideals: 597876
  111. Tue Apr 18 18:48:02 2023 relations with 4 large ideals: 2293467
  112. Tue Apr 18 18:48:02 2023 relations with 5 large ideals: 5264577
  113. Tue Apr 18 18:48:02 2023 relations with 6 large ideals: 8512432
  114. Tue Apr 18 18:48:02 2023 relations with 7+ large ideals: 11957995
  115. Tue Apr 18 18:48:02 2023 commencing 2-way merge
  116. Tue Apr 18 18:48:15 2023 reduce to 18866759 relation sets and 18239253 unique ideals
  117. Tue Apr 18 18:48:15 2023 commencing full merge
  118. Tue Apr 18 18:54:38 2023 memory use: 2470.8 MB
  119. Tue Apr 18 18:54:40 2023 found 8523720 cycles, need 8519453
  120. Tue Apr 18 18:54:42 2023 weight of 8519453 cycles is about 954742975 (112.07/cycle)
  121. Tue Apr 18 18:54:42 2023 distribution of cycle lengths:
  122. Tue Apr 18 18:54:42 2023 1 relations: 487701
  123. Tue Apr 18 18:54:42 2023 2 relations: 567973
  124. Tue Apr 18 18:54:42 2023 3 relations: 609135
  125. Tue Apr 18 18:54:42 2023 4 relations: 605870
  126. Tue Apr 18 18:54:42 2023 5 relations: 607937
  127. Tue Apr 18 18:54:42 2023 6 relations: 594522
  128. Tue Apr 18 18:54:42 2023 7 relations: 577497
  129. Tue Apr 18 18:54:42 2023 8 relations: 549380
  130. Tue Apr 18 18:54:42 2023 9 relations: 516643
  131. Tue Apr 18 18:54:42 2023 10+ relations: 3402795
  132. Tue Apr 18 18:54:42 2023 heaviest cycle: 28 relations
  133. Tue Apr 18 18:54:44 2023 commencing cycle optimization
  134. Tue Apr 18 18:54:59 2023 start with 75680925 relations
  135. Tue Apr 18 18:57:24 2023 pruned 3487460 relations
  136. Tue Apr 18 18:57:24 2023 memory use: 1968.3 MB
  137. Tue Apr 18 18:57:24 2023 distribution of cycle lengths:
  138. Tue Apr 18 18:57:24 2023 1 relations: 487701
  139. Tue Apr 18 18:57:24 2023 2 relations: 579719
  140. Tue Apr 18 18:57:24 2023 3 relations: 632315
  141. Tue Apr 18 18:57:24 2023 4 relations: 629204
  142. Tue Apr 18 18:57:24 2023 5 relations: 637285
  143. Tue Apr 18 18:57:24 2023 6 relations: 621806
  144. Tue Apr 18 18:57:24 2023 7 relations: 608228
  145. Tue Apr 18 18:57:24 2023 8 relations: 574898
  146. Tue Apr 18 18:57:24 2023 9 relations: 540819
  147. Tue Apr 18 18:57:24 2023 10+ relations: 3207478
  148. Tue Apr 18 18:57:24 2023 heaviest cycle: 28 relations
  149. Tue Apr 18 18:57:39 2023 RelProcTime: 4280
  150. Tue Apr 18 18:57:39 2023 elapsed time 01:11:21
  151. Tue Apr 18 19:46:04 2023
  152. Tue Apr 18 19:46:04 2023
  153. Tue Apr 18 19:46:04 2023 Msieve v. 1.54 (SVN Unversioned directory)
  154. Tue Apr 18 19:46:04 2023 random seeds: dba7fc0c 0fe1c986
  155. Tue Apr 18 19:46:04 2023 factoring 20106432542581814263853734617744006952420499963398742050450953222220247090181981478769758216038020320322889365022382224592987094168050040518876631026081432139021789702675084422893809603082634735198387831225189469257 (215 digits)
  156. Tue Apr 18 19:46:05 2023 no P-1/P+1/ECM available, skipping
  157. Tue Apr 18 19:46:05 2023 commencing number field sieve (215-digit input)
  158. Tue Apr 18 19:46:05 2023 R0: 333909910225265867617664613515264565321570114602
  159. Tue Apr 18 19:46:05 2023 R1: -577849383685113804256051
  160. Tue Apr 18 19:46:05 2023 A0: 1
  161. Tue Apr 18 19:46:05 2023 A1: 3
  162. Tue Apr 18 19:46:05 2023 A2: -3
  163. Tue Apr 18 19:46:05 2023 A3: -4
  164. Tue Apr 18 19:46:05 2023 A4: 1
  165. Tue Apr 18 19:46:05 2023 A5: 1
  166. Tue Apr 18 19:46:05 2023 skew 1.00, size 3.667e-16, alpha 2.379, combined = 4.826e-13 rroots = 5
  167. Tue Apr 18 19:46:05 2023
  168. Tue Apr 18 19:46:05 2023 commencing linear algebra
  169. Tue Apr 18 19:46:05 2023 using VBITS=512
  170. Tue Apr 18 19:46:06 2023 read 8519453 cycles
  171. Tue Apr 18 19:46:20 2023 cycles contain 28402375 unique relations
  172. Tue Apr 18 19:48:35 2023 read 28402375 relations
  173. Tue Apr 18 19:49:14 2023 using 20 quadratic characters above 4294917295
  174. Tue Apr 18 19:51:04 2023 building initial matrix
  175. Tue Apr 18 19:55:58 2023 memory use: 3462.0 MB
  176. Tue Apr 18 19:56:02 2023 read 8519453 cycles
  177. Tue Apr 18 19:56:03 2023 matrix is 8519276 x 8519453 (3767.7 MB) with weight 1073271419 (125.98/col)
  178. Tue Apr 18 19:56:03 2023 sparse part has weight 893956115 (104.93/col)
  179. Tue Apr 18 19:57:23 2023 filtering completed in 2 passes
  180. Tue Apr 18 19:57:25 2023 matrix is 8519196 x 8519334 (3767.7 MB) with weight 1073268566 (125.98/col)
  181. Tue Apr 18 19:57:25 2023 sparse part has weight 893955377 (104.93/col)
  182. Tue Apr 18 19:57:45 2023 matrix starts at (0, 0)
  183. Tue Apr 18 19:57:46 2023 matrix is 8519196 x 8519334 (3767.7 MB) with weight 1073268566 (125.98/col)
  184. Tue Apr 18 19:57:46 2023 sparse part has weight 893955377 (104.93/col)
  185. Tue Apr 18 19:57:46 2023 saving the first 496 matrix rows for later
  186. Tue Apr 18 19:57:48 2023 matrix includes 512 packed rows
  187. Tue Apr 18 19:57:54 2023 matrix is 8518700 x 8519334 (3571.7 MB) with weight 772551729 (90.68/col)
  188. Tue Apr 18 19:57:54 2023 sparse part has weight 731827912 (85.90/col)
  189. Tue Apr 18 19:57:54 2023 using GPU 0 (NVIDIA GeForce RTX 3060)
  190. Tue Apr 18 19:57:54 2023 selected card has CUDA arch 8.6
  191. Tue Apr 18 19:58:45 2023 commencing Lanczos iteration
  192. Tue Apr 18 19:58:46 2023 memory use: 10003.2 MB
  193. Tue Apr 18 19:59:17 2023 linear algebra at 0.2%, ETA 4h37m
  194. Tue Apr 18 19:59:18 2023 checkpointing every 1850000 dimensions
  195. Wed Apr 19 00:40:21 2023 lanczos halted after 16664 iterations (dim = 8518699)
  196. Wed Apr 19 00:41:56 2023 recovered 36 nontrivial dependencies
  197. Wed Apr 19 00:41:56 2023 BLanczosTime: 17751
  198. Wed Apr 19 00:41:56 2023
  199. Wed Apr 19 00:41:56 2023 commencing square root phase
  200. Wed Apr 19 00:41:56 2023 handling dependencies 1 to 64
  201. Wed Apr 19 00:41:56 2023 reading relations for dependency 1
  202. Wed Apr 19 00:41:58 2023 read 4261268 cycles
  203. Wed Apr 19 00:42:05 2023 cycles contain 14206336 unique relations
  204. Wed Apr 19 00:43:19 2023 read 14206336 relations
  205. Wed Apr 19 00:44:15 2023 multiplying 14206336 relations
  206. Wed Apr 19 00:49:42 2023 multiply complete, coefficients have about 354.38 million bits
  207. Wed Apr 19 00:49:43 2023 initial square root is modulo 2284109
  208. Wed Apr 19 00:56:01 2023 sqrtTime: 845
  209. Wed Apr 19 00:56:01 2023 p55 factor: 7119461667098480664761602854426629408694693017204916409
  210. Wed Apr 19 00:56:01 2023 p160 factor: 2824150684805378281001869608209671954411651283865124927751287501449479772529199264099254525500233266030774637499891184125293022371009296967223598990337539014673
  211. Wed Apr 19 00:56:01 2023 elapsed time 05:09:57
  212.  
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