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Apr 24th, 2023
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  1. Sun Apr 23 14:24:43 2023 Msieve v. 1.54 (SVN 03e8738)
  2. Sun Apr 23 14:24:43 2023 random seeds: eed80df8 6852ee1f
  3. Sun Apr 23 14:24:43 2023 Using 16 OpenMP threads
  4. Sun Apr 23 14:24:43 2023 factoring 474218589535647153091112422722043305895118913113342218669907284355976855355947387401477255712344112954758038583597749545685783567976121423406163805785116931518652083433448141996791462818366312404162369315916353367371337544522935165888036657 (240 digits)
  5. Sun Apr 23 14:24:44 2023 no P-1/P+1/ECM available, skipping
  6. Sun Apr 23 14:24:44 2023 commencing number field sieve (240-digit input)
  7. Sun Apr 23 14:24:44 2023 R0: 706965049015104706497203195837614914543357369
  8. Sun Apr 23 14:24:44 2023 R1: -2787593149816327892691964784081045188247552
  9. Sun Apr 23 14:24:44 2023 A0: 9
  10. Sun Apr 23 14:24:44 2023 A1: 0
  11. Sun Apr 23 14:24:44 2023 A2: 0
  12. Sun Apr 23 14:24:44 2023 A3: 0
  13. Sun Apr 23 14:24:44 2023 A4: 0
  14. Sun Apr 23 14:24:44 2023 A5: 0
  15. Sun Apr 23 14:24:44 2023 A6: 8
  16. Sun Apr 23 14:24:44 2023 skew 1.02, size 2.263e-13, alpha 1.337, combined = 3.825e-14 rroots = 0
  17. Sun Apr 23 14:24:44 2023
  18. Sun Apr 23 14:24:44 2023 commencing relation filtering
  19. Sun Apr 23 14:24:44 2023 setting target matrix density to 110.0
  20. Sun Apr 23 14:24:44 2023 estimated available RAM is 64238.6 MB
  21. Sun Apr 23 14:24:44 2023 commencing duplicate removal, pass 1
  22. Sun Apr 23 14:25:29 2023
  23. Sun Apr 23 14:25:29 2023
  24. Sun Apr 23 14:25:29 2023 Msieve v. 1.54 (SVN 03e8738)
  25. Sun Apr 23 14:25:29 2023 random seeds: 353230ea 8a01f877
  26. Sun Apr 23 14:25:29 2023 Using 16 OpenMP threads
  27. Sun Apr 23 14:25:29 2023 factoring 474218589535647153091112422722043305895118913113342218669907284355976855355947387401477255712344112954758038583597749545685783567976121423406163805785116931518652083433448141996791462818366312404162369315916353367371337544522935165888036657 (240 digits)
  28. Sun Apr 23 14:25:30 2023 no P-1/P+1/ECM available, skipping
  29. Sun Apr 23 14:25:30 2023 commencing number field sieve (240-digit input)
  30. Sun Apr 23 14:25:30 2023 R0: 706965049015104706497203195837614914543357369
  31. Sun Apr 23 14:25:30 2023 R1: -2787593149816327892691964784081045188247552
  32. Sun Apr 23 14:25:30 2023 A0: 9
  33. Sun Apr 23 14:25:30 2023 A1: 0
  34. Sun Apr 23 14:25:30 2023 A2: 0
  35. Sun Apr 23 14:25:30 2023 A3: 0
  36. Sun Apr 23 14:25:30 2023 A4: 0
  37. Sun Apr 23 14:25:30 2023 A5: 0
  38. Sun Apr 23 14:25:30 2023 A6: 8
  39. Sun Apr 23 14:25:30 2023 skew 1.02, size 2.263e-13, alpha 1.337, combined = 3.825e-14 rroots = 0
  40. Sun Apr 23 14:25:30 2023
  41. Sun Apr 23 14:25:30 2023 commencing relation filtering
  42. Sun Apr 23 14:25:30 2023 setting target matrix density to 110.0
  43. Sun Apr 23 14:25:30 2023 estimated available RAM is 64238.6 MB
  44. Sun Apr 23 14:25:30 2023 commencing duplicate removal, pass 1
  45. Sun Apr 23 14:26:20 2023
  46. Sun Apr 23 14:26:20 2023
  47. Sun Apr 23 14:26:20 2023 Msieve v. 1.54 (SVN 03e8738)
  48. Sun Apr 23 14:26:20 2023 random seeds: 83141f81 aa197712
  49. Sun Apr 23 14:26:20 2023 Using 16 OpenMP threads
  50. Sun Apr 23 14:26:20 2023 factoring 474218589535647153091112422722043305895118913113342218669907284355976855355947387401477255712344112954758038583597749545685783567976121423406163805785116931518652083433448141996791462818366312404162369315916353367371337544522935165888036657 (240 digits)
  51. Sun Apr 23 14:26:21 2023 no P-1/P+1/ECM available, skipping
  52. Sun Apr 23 14:26:21 2023 commencing number field sieve (240-digit input)
  53. Sun Apr 23 14:26:21 2023 R0: 706965049015104706497203195837614914543357369
  54. Sun Apr 23 14:26:21 2023 R1: -2787593149816327892691964784081045188247552
  55. Sun Apr 23 14:26:21 2023 A0: 9
  56. Sun Apr 23 14:26:21 2023 A1: 0
  57. Sun Apr 23 14:26:21 2023 A2: 0
  58. Sun Apr 23 14:26:21 2023 A3: 0
  59. Sun Apr 23 14:26:21 2023 A4: 0
  60. Sun Apr 23 14:26:21 2023 A5: 0
  61. Sun Apr 23 14:26:21 2023 A6: 8
  62. Sun Apr 23 14:26:21 2023 skew 1.02, size 2.263e-13, alpha 1.337, combined = 3.825e-14 rroots = 0
  63. Sun Apr 23 14:26:21 2023
  64. Sun Apr 23 14:26:21 2023 commencing relation filtering
  65. Sun Apr 23 14:26:21 2023 setting target matrix density to 110.0
  66. Sun Apr 23 14:26:21 2023 estimated available RAM is 64238.6 MB
  67. Sun Apr 23 14:26:21 2023 commencing duplicate removal, pass 1
  68. Sun Apr 23 14:29:42 2023 skipped 1569 relations with b > 2^32
  69. Sun Apr 23 14:29:42 2023 found 8332626 hash collisions in 273223931 relations
  70. Sun Apr 23 14:29:50 2023 added 1218752 free relations
  71. Sun Apr 23 14:29:50 2023 commencing duplicate removal, pass 2
  72. Sun Apr 23 14:30:38 2023 found 0 duplicates and 274442683 unique relations
  73. Sun Apr 23 14:30:38 2023 memory use: 810.4 MB
  74. Sun Apr 23 14:30:38 2023 reading ideals above 720000
  75. Sun Apr 23 14:30:38 2023 commencing singleton removal, initial pass
  76. Sun Apr 23 14:41:27 2023 memory use: 6024.0 MB
  77. Sun Apr 23 14:41:27 2023 reading all ideals from disk
  78. Sun Apr 23 14:41:30 2023 memory use: 13673.0 MB
  79. Sun Apr 23 14:41:44 2023 keeping 259026684 ideals with weight <= 200, target excess is 1423548
  80. Sun Apr 23 14:42:04 2023 commencing in-memory singleton removal
  81. Sun Apr 23 14:42:09 2023 begin with 274442683 relations and 259026684 unique ideals
  82. Sun Apr 23 14:42:47 2023 reduce to 190506475 relations and 169922544 ideals in 16 passes
  83. Sun Apr 23 14:42:47 2023 max relations containing the same ideal: 165
  84. Sun Apr 23 14:43:29 2023 removing 15890008 relations and 13890008 ideals in 2000000 cliques
  85. Sun Apr 23 14:43:34 2023 commencing in-memory singleton removal
  86. Sun Apr 23 14:43:37 2023 begin with 174616467 relations and 169922544 unique ideals
  87. Sun Apr 23 14:43:57 2023 reduce to 173472024 relations and 154870919 ideals in 11 passes
  88. Sun Apr 23 14:43:57 2023 max relations containing the same ideal: 155
  89. Sun Apr 23 14:44:33 2023 removing 11919382 relations and 9919382 ideals in 2000000 cliques
  90. Sun Apr 23 14:44:37 2023 commencing in-memory singleton removal
  91. Sun Apr 23 14:44:40 2023 begin with 161552642 relations and 154870919 unique ideals
  92. Sun Apr 23 14:44:55 2023 reduce to 160829746 relations and 144219676 ideals in 9 passes
  93. Sun Apr 23 14:44:55 2023 max relations containing the same ideal: 150
  94. Sun Apr 23 14:45:28 2023 removing 10696691 relations and 8696691 ideals in 2000000 cliques
  95. Sun Apr 23 14:45:31 2023 commencing in-memory singleton removal
  96. Sun Apr 23 14:45:34 2023 begin with 150133055 relations and 144219676 unique ideals
  97. Sun Apr 23 14:45:50 2023 reduce to 149503407 relations and 134885331 ideals in 10 passes
  98. Sun Apr 23 14:45:50 2023 max relations containing the same ideal: 141
  99. Sun Apr 23 14:46:20 2023 removing 10062886 relations and 8062886 ideals in 2000000 cliques
  100. Sun Apr 23 14:46:24 2023 commencing in-memory singleton removal
  101. Sun Apr 23 14:46:26 2023 begin with 139440521 relations and 134885331 unique ideals
  102. Sun Apr 23 14:46:39 2023 reduce to 138845927 relations and 126220129 ideals in 9 passes
  103. Sun Apr 23 14:46:39 2023 max relations containing the same ideal: 135
  104. Sun Apr 23 14:47:07 2023 removing 9680531 relations and 7680531 ideals in 2000000 cliques
  105. Sun Apr 23 14:47:10 2023 commencing in-memory singleton removal
  106. Sun Apr 23 14:47:12 2023 begin with 129165396 relations and 126220129 unique ideals
  107. Sun Apr 23 14:47:24 2023 reduce to 128575979 relations and 117942390 ideals in 9 passes
  108. Sun Apr 23 14:47:24 2023 max relations containing the same ideal: 129
  109. Sun Apr 23 14:47:51 2023 removing 9440441 relations and 7440441 ideals in 2000000 cliques
  110. Sun Apr 23 14:47:53 2023 commencing in-memory singleton removal
  111. Sun Apr 23 14:47:56 2023 begin with 119135538 relations and 117942390 unique ideals
  112. Sun Apr 23 14:48:06 2023 reduce to 118533412 relations and 109891356 ideals in 9 passes
  113. Sun Apr 23 14:48:06 2023 max relations containing the same ideal: 121
  114. Sun Apr 23 14:48:31 2023 removing 9282616 relations and 7282616 ideals in 2000000 cliques
  115. Sun Apr 23 14:48:34 2023 commencing in-memory singleton removal
  116. Sun Apr 23 14:48:36 2023 begin with 109250796 relations and 109891356 unique ideals
  117. Sun Apr 23 14:48:45 2023 reduce to 108624142 relations and 101972574 ideals in 9 passes
  118. Sun Apr 23 14:48:45 2023 max relations containing the same ideal: 115
  119. Sun Apr 23 14:49:08 2023 removing 9193743 relations and 7193743 ideals in 2000000 cliques
  120. Sun Apr 23 14:49:10 2023 commencing in-memory singleton removal
  121. Sun Apr 23 14:49:12 2023 begin with 99430399 relations and 101972574 unique ideals
  122. Sun Apr 23 14:49:20 2023 reduce to 98764216 relations and 94101613 ideals in 8 passes
  123. Sun Apr 23 14:49:20 2023 max relations containing the same ideal: 109
  124. Sun Apr 23 14:49:41 2023 removing 9155351 relations and 7155351 ideals in 2000000 cliques
  125. Sun Apr 23 14:49:43 2023 commencing in-memory singleton removal
  126. Sun Apr 23 14:49:45 2023 begin with 89608865 relations and 94101613 unique ideals
  127. Sun Apr 23 14:49:53 2023 reduce to 88884661 relations and 86209188 ideals in 9 passes
  128. Sun Apr 23 14:49:53 2023 max relations containing the same ideal: 99
  129. Sun Apr 23 14:50:12 2023 removing 5396472 relations and 4372315 ideals in 1024157 cliques
  130. Sun Apr 23 14:50:14 2023 commencing in-memory singleton removal
  131. Sun Apr 23 14:50:15 2023 begin with 83488189 relations and 86209188 unique ideals
  132. Sun Apr 23 14:50:22 2023 reduce to 83230024 relations and 81576116 ideals in 8 passes
  133. Sun Apr 23 14:50:22 2023 max relations containing the same ideal: 96
  134. Sun Apr 23 14:50:48 2023 relations with 0 large ideals: 54176
  135. Sun Apr 23 14:50:48 2023 relations with 1 large ideals: 20516
  136. Sun Apr 23 14:50:48 2023 relations with 2 large ideals: 269175
  137. Sun Apr 23 14:50:48 2023 relations with 3 large ideals: 1827337
  138. Sun Apr 23 14:50:48 2023 relations with 4 large ideals: 6838317
  139. Sun Apr 23 14:50:48 2023 relations with 5 large ideals: 15412310
  140. Sun Apr 23 14:50:48 2023 relations with 6 large ideals: 21842588
  141. Sun Apr 23 14:50:48 2023 relations with 7+ large ideals: 36965605
  142. Sun Apr 23 14:50:48 2023 commencing 2-way merge
  143. Sun Apr 23 14:51:15 2023 reduce to 51572139 relation sets and 49918230 unique ideals
  144. Sun Apr 23 14:51:15 2023 commencing full merge
  145. Sun Apr 23 15:03:47 2023 memory use: 6505.3 MB
  146. Sun Apr 23 15:03:51 2023 found 23685717 cycles, need 23580430
  147. Sun Apr 23 15:03:55 2023 weight of 23580430 cycles is about 2594034281 (110.01/cycle)
  148. Sun Apr 23 15:03:55 2023 distribution of cycle lengths:
  149. Sun Apr 23 15:03:55 2023 1 relations: 1997998
  150. Sun Apr 23 15:03:55 2023 2 relations: 1979901
  151. Sun Apr 23 15:03:55 2023 3 relations: 1947758
  152. Sun Apr 23 15:03:55 2023 4 relations: 1837345
  153. Sun Apr 23 15:03:55 2023 5 relations: 1751118
  154. Sun Apr 23 15:03:55 2023 6 relations: 1655373
  155. Sun Apr 23 15:03:55 2023 7 relations: 1549921
  156. Sun Apr 23 15:03:55 2023 8 relations: 1448438
  157. Sun Apr 23 15:03:55 2023 9 relations: 1331487
  158. Sun Apr 23 15:03:55 2023 10+ relations: 8081091
  159. Sun Apr 23 15:03:55 2023 heaviest cycle: 28 relations
  160. Sun Apr 23 15:04:00 2023 commencing cycle optimization
  161. Sun Apr 23 15:04:29 2023 start with 187855086 relations
  162. Sun Apr 23 15:08:25 2023 pruned 6689600 relations
  163. Sun Apr 23 15:08:26 2023 memory use: 5336.2 MB
  164. Sun Apr 23 15:08:26 2023 distribution of cycle lengths:
  165. Sun Apr 23 15:08:26 2023 1 relations: 1997998
  166. Sun Apr 23 15:08:26 2023 2 relations: 2023083
  167. Sun Apr 23 15:08:26 2023 3 relations: 2019911
  168. Sun Apr 23 15:08:26 2023 4 relations: 1897454
  169. Sun Apr 23 15:08:26 2023 5 relations: 1818959
  170. Sun Apr 23 15:08:26 2023 6 relations: 1708588
  171. Sun Apr 23 15:08:26 2023 7 relations: 1602201
  172. Sun Apr 23 15:08:26 2023 8 relations: 1488181
  173. Sun Apr 23 15:08:26 2023 9 relations: 1366761
  174. Sun Apr 23 15:08:26 2023 10+ relations: 7657294
  175. Sun Apr 23 15:08:26 2023 heaviest cycle: 28 relations
  176. Sun Apr 23 15:08:51 2023 RelProcTime: 2550
  177. Sun Apr 23 15:08:51 2023
  178. Sun Apr 23 15:08:51 2023 commencing linear algebra
  179. Sun Apr 23 15:08:51 2023 using VBITS=256
  180. Sun Apr 23 15:08:52 2023 read 23580430 cycles
  181. Sun Apr 23 15:09:21 2023 cycles contain 82067611 unique relations
  182. Sun Apr 23 15:10:03 2023 read 82067611 relations
  183. Sun Apr 23 15:10:16 2023 using 20 quadratic characters above 4294917295
  184. Sun Apr 23 15:10:31 2023 building initial matrix
  185. Sun Apr 23 15:20:20 2023 memory use: 10467.6 MB
  186. Sun Apr 23 15:20:25 2023 read 23580430 cycles
  187. Sun Apr 23 15:20:28 2023 matrix is 23580253 x 23580430 (10345.0 MB) with weight 2959143193 (125.49/col)
  188. Sun Apr 23 15:20:28 2023 sparse part has weight 2452486736 (104.01/col)
  189. Sun Apr 23 15:22:46 2023 filtering completed in 2 passes
  190. Sun Apr 23 15:22:49 2023 matrix is 23578074 x 23578245 (10344.8 MB) with weight 2959070022 (125.50/col)
  191. Sun Apr 23 15:22:49 2023 sparse part has weight 2452461353 (104.01/col)
  192. Sun Apr 23 15:23:19 2023 matrix starts at (0, 0)
  193. Sun Apr 23 15:23:21 2023 matrix is 23578074 x 23578245 (10344.8 MB) with weight 2959070022 (125.50/col)
  194. Sun Apr 23 15:23:21 2023 sparse part has weight 2452461353 (104.01/col)
  195. Sun Apr 23 15:23:21 2023 saving the first 240 matrix rows for later
  196. Sun Apr 23 15:23:24 2023 matrix includes 256 packed rows
  197. Sun Apr 23 15:23:30 2023 matrix is 23577834 x 23578245 (9636.4 MB) with weight 2257179260 (95.73/col)
  198. Sun Apr 23 15:23:30 2023 sparse part has weight 2148883970 (91.14/col)
  199. Sun Apr 23 15:23:30 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  200. Sun Apr 23 15:23:30 2023 selected card has CUDA arch 8.6
  201. Sun Apr 23 15:25:07 2023 commencing Lanczos iteration
  202. Sun Apr 23 15:25:08 2023 memory use: 22510.9 MB
  203. Sun Apr 23 15:26:19 2023 linear algebra at 0.1%, ETA 14h56m
  204. Sun Apr 23 15:28:04 2023 checking every 20000 dimensions, checkpointing every 1600000 dimensions
  205. Mon Apr 24 06:19:49 2023 lanczos halted after 92378 iterations (dim = 23577828)
  206. Mon Apr 24 06:21:24 2023 recovered 34 nontrivial dependencies
  207. Mon Apr 24 06:21:25 2023 BLanczosTime: 54754
  208. Mon Apr 24 06:21:25 2023
  209. Mon Apr 24 06:21:25 2023 commencing square root phase
  210. Mon Apr 24 06:21:25 2023 handling dependencies 1 to 64
  211. Mon Apr 24 06:21:25 2023 reading relations for dependency 1
  212. Mon Apr 24 06:21:28 2023 read 11789103 cycles
  213. Mon Apr 24 06:21:51 2023 cycles contain 41024708 unique relations
  214. Mon Apr 24 06:22:47 2023 read 41024708 relations
  215. Mon Apr 24 06:25:43 2023 multiplying 41024708 relations
  216. Mon Apr 24 06:42:32 2023 multiply complete, coefficients have about 1203.01 million bits
  217. Mon Apr 24 06:42:34 2023 initial square root is modulo 249181
  218. Mon Apr 24 06:51:34 2023 sqrtTime: 1809
  219. Mon Apr 24 06:51:34 2023 p113 factor: 64095125307955059758538440081602596107119831154516428215408965913858531992955846839653024523657068715718421001939
  220. Mon Apr 24 06:51:34 2023 p127 factor: 7398668576700485870332474589042181933363365404766172831987301070782375832433344198991640281827804733980921819754043825600755563
  221. Mon Apr 24 06:51:34 2023 elapsed time 16:25:14
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