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Mar 14th, 2023
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  1. Mon Mar 13 14:28:29 2023 Msieve v. 1.54 (SVN 03e8738)
  2. Mon Mar 13 14:28:29 2023 random seeds: 92d784c6 b8c1b3e5
  3. Mon Mar 13 14:28:29 2023 Using 16 OpenMP threads
  4. Mon Mar 13 14:28:29 2023 factoring 163867527453588334490374910589031200046165901636710530104465649503443107413447224019695478670926548999096455565087915906520707579113984620841079555557560016241097604084078351236559246883159869688181990457698588834552585216314131730301592641688485791339261 (255 digits)
  5. Mon Mar 13 14:28:30 2023 no P-1/P+1/ECM available, skipping
  6. Mon Mar 13 14:28:30 2023 commencing number field sieve (255-digit input)
  7. Mon Mar 13 14:28:30 2023 R0: 176372588200858014396293862501995159498267719
  8. Mon Mar 13 14:28:30 2023 R1: -611808796476999817366175698649037668352
  9. Mon Mar 13 14:28:30 2023 A0: -9261
  10. Mon Mar 13 14:28:30 2023 A1: 18522
  11. Mon Mar 13 14:28:30 2023 A2: -7938
  12. Mon Mar 13 14:28:30 2023 A3: 882
  13. Mon Mar 13 14:28:30 2023 A4: 84
  14. Mon Mar 13 14:28:30 2023 A5: -21
  15. Mon Mar 13 14:28:30 2023 A6: 1
  16. Mon Mar 13 14:28:30 2023 skew 4.58, size 3.348e-13, alpha 1.443, combined = 4.779e-14 rroots = 6
  17. Mon Mar 13 14:28:30 2023
  18. Mon Mar 13 14:28:30 2023 commencing relation filtering
  19. Mon Mar 13 14:28:30 2023 setting target matrix density to 112.0
  20. Mon Mar 13 14:28:30 2023 estimated available RAM is 64238.6 MB
  21. Mon Mar 13 14:28:30 2023 commencing duplicate removal, pass 1
  22. Mon Mar 13 14:29:39 2023 error -1 reading relation 93247056
  23. Mon Mar 13 14:29:41 2023 error -15 reading relation 96215362
  24. Mon Mar 13 14:30:30 2023 error -15 reading relation 161864487
  25. Mon Mar 13 14:32:13 2023 skipped 132 relations with b > 2^32
  26. Mon Mar 13 14:32:13 2023 skipped 2 malformed relations
  27. Mon Mar 13 14:32:13 2023 found 9839391 hash collisions in 297445581 relations
  28. Mon Mar 13 14:32:16 2023 added 2437924 free relations
  29. Mon Mar 13 14:32:16 2023 commencing duplicate removal, pass 2
  30. Mon Mar 13 14:33:14 2023 found 0 duplicates and 299883505 unique relations
  31. Mon Mar 13 14:33:14 2023 memory use: 810.4 MB
  32. Mon Mar 13 14:33:14 2023 reading ideals above 229834752
  33. Mon Mar 13 14:33:14 2023 commencing singleton removal, initial pass
  34. Mon Mar 13 14:38:45 2023 memory use: 6024.0 MB
  35. Mon Mar 13 14:38:45 2023 reading all ideals from disk
  36. Mon Mar 13 14:38:48 2023 memory use: 7656.2 MB
  37. Mon Mar 13 14:38:54 2023 commencing in-memory singleton removal
  38. Mon Mar 13 14:38:57 2023 begin with 299883505 relations and 250536509 unique ideals
  39. Mon Mar 13 14:39:18 2023 reduce to 211418178 relations and 156637810 ideals in 17 passes
  40. Mon Mar 13 14:39:18 2023 max relations containing the same ideal: 42
  41. Mon Mar 13 14:39:21 2023 reading ideals above 720000
  42. Mon Mar 13 14:39:22 2023 commencing singleton removal, initial pass
  43. Mon Mar 13 14:47:08 2023 memory use: 5512.0 MB
  44. Mon Mar 13 14:47:08 2023 reading all ideals from disk
  45. Mon Mar 13 14:47:12 2023 memory use: 10473.9 MB
  46. Mon Mar 13 14:47:22 2023 keeping 180812470 ideals with weight <= 200, target excess is 1091452
  47. Mon Mar 13 14:47:36 2023 commencing in-memory singleton removal
  48. Mon Mar 13 14:47:40 2023 begin with 211418178 relations and 180812470 unique ideals
  49. Mon Mar 13 14:47:53 2023 reduce to 211417570 relations and 180811862 ideals in 6 passes
  50. Mon Mar 13 14:47:53 2023 max relations containing the same ideal: 200
  51. Mon Mar 13 14:48:40 2023 removing 14817772 relations and 12817772 ideals in 2000000 cliques
  52. Mon Mar 13 14:48:45 2023 commencing in-memory singleton removal
  53. Mon Mar 13 14:48:48 2023 begin with 196599798 relations and 180811862 unique ideals
  54. Mon Mar 13 14:49:06 2023 reduce to 195738981 relations and 167121707 ideals in 9 passes
  55. Mon Mar 13 14:49:06 2023 max relations containing the same ideal: 199
  56. Mon Mar 13 14:49:48 2023 removing 11108874 relations and 9108874 ideals in 2000000 cliques
  57. Mon Mar 13 14:49:51 2023 commencing in-memory singleton removal
  58. Mon Mar 13 14:49:55 2023 begin with 184630107 relations and 167121707 unique ideals
  59. Mon Mar 13 14:50:12 2023 reduce to 184089683 relations and 157466445 ideals in 9 passes
  60. Mon Mar 13 14:50:12 2023 max relations containing the same ideal: 193
  61. Mon Mar 13 14:50:49 2023 removing 9952621 relations and 7952621 ideals in 2000000 cliques
  62. Mon Mar 13 14:50:53 2023 commencing in-memory singleton removal
  63. Mon Mar 13 14:50:56 2023 begin with 174137062 relations and 157466445 unique ideals
  64. Mon Mar 13 14:51:10 2023 reduce to 173674643 relations and 149046272 ideals in 8 passes
  65. Mon Mar 13 14:51:10 2023 max relations containing the same ideal: 187
  66. Mon Mar 13 14:51:46 2023 removing 9333035 relations and 7333035 ideals in 2000000 cliques
  67. Mon Mar 13 14:51:49 2023 commencing in-memory singleton removal
  68. Mon Mar 13 14:51:52 2023 begin with 164341608 relations and 149046272 unique ideals
  69. Mon Mar 13 14:52:04 2023 reduce to 163910673 relations and 141277608 ideals in 7 passes
  70. Mon Mar 13 14:52:04 2023 max relations containing the same ideal: 183
  71. Mon Mar 13 14:52:38 2023 removing 8939294 relations and 6939294 ideals in 2000000 cliques
  72. Mon Mar 13 14:52:41 2023 commencing in-memory singleton removal
  73. Mon Mar 13 14:52:44 2023 begin with 154971379 relations and 141277608 unique ideals
  74. Mon Mar 13 14:52:58 2023 reduce to 154555450 relations and 133917636 ideals in 9 passes
  75. Mon Mar 13 14:52:58 2023 max relations containing the same ideal: 177
  76. Mon Mar 13 14:53:29 2023 removing 8677234 relations and 6677234 ideals in 2000000 cliques
  77. Mon Mar 13 14:53:32 2023 commencing in-memory singleton removal
  78. Mon Mar 13 14:53:35 2023 begin with 145878216 relations and 133917636 unique ideals
  79. Mon Mar 13 14:53:47 2023 reduce to 145468131 relations and 126825372 ideals in 8 passes
  80. Mon Mar 13 14:53:47 2023 max relations containing the same ideal: 170
  81. Mon Mar 13 14:54:17 2023 removing 8483812 relations and 6483812 ideals in 2000000 cliques
  82. Mon Mar 13 14:54:20 2023 commencing in-memory singleton removal
  83. Mon Mar 13 14:54:22 2023 begin with 136984319 relations and 126825372 unique ideals
  84. Mon Mar 13 14:54:32 2023 reduce to 136571817 relations and 119923902 ideals in 7 passes
  85. Mon Mar 13 14:54:32 2023 max relations containing the same ideal: 160
  86. Mon Mar 13 14:55:00 2023 removing 8352444 relations and 6352444 ideals in 2000000 cliques
  87. Mon Mar 13 14:55:03 2023 commencing in-memory singleton removal
  88. Mon Mar 13 14:55:05 2023 begin with 128219373 relations and 119923902 unique ideals
  89. Mon Mar 13 14:55:15 2023 reduce to 127795191 relations and 113141746 ideals in 8 passes
  90. Mon Mar 13 14:55:15 2023 max relations containing the same ideal: 151
  91. Mon Mar 13 14:55:42 2023 removing 8258850 relations and 6258850 ideals in 2000000 cliques
  92. Mon Mar 13 14:55:45 2023 commencing in-memory singleton removal
  93. Mon Mar 13 14:55:47 2023 begin with 119536341 relations and 113141746 unique ideals
  94. Mon Mar 13 14:55:56 2023 reduce to 119099910 relations and 106440533 ideals in 8 passes
  95. Mon Mar 13 14:55:56 2023 max relations containing the same ideal: 146
  96. Mon Mar 13 14:56:21 2023 removing 8199147 relations and 6199147 ideals in 2000000 cliques
  97. Mon Mar 13 14:56:23 2023 commencing in-memory singleton removal
  98. Mon Mar 13 14:56:25 2023 begin with 110900763 relations and 106440533 unique ideals
  99. Mon Mar 13 14:56:33 2023 reduce to 110444105 relations and 99777955 ideals in 7 passes
  100. Mon Mar 13 14:56:33 2023 max relations containing the same ideal: 146
  101. Mon Mar 13 14:56:56 2023 removing 8160362 relations and 6160362 ideals in 2000000 cliques
  102. Mon Mar 13 14:56:58 2023 commencing in-memory singleton removal
  103. Mon Mar 13 14:57:00 2023 begin with 102283743 relations and 99777955 unique ideals
  104. Mon Mar 13 14:57:07 2023 reduce to 101799359 relations and 93125381 ideals in 7 passes
  105. Mon Mar 13 14:57:07 2023 max relations containing the same ideal: 134
  106. Mon Mar 13 14:57:28 2023 removing 8146953 relations and 6146953 ideals in 2000000 cliques
  107. Mon Mar 13 14:57:31 2023 commencing in-memory singleton removal
  108. Mon Mar 13 14:57:32 2023 begin with 93652406 relations and 93125381 unique ideals
  109. Mon Mar 13 14:57:39 2023 reduce to 93134434 relations and 86451743 ideals in 8 passes
  110. Mon Mar 13 14:57:39 2023 max relations containing the same ideal: 125
  111. Mon Mar 13 14:57:59 2023 removing 8152068 relations and 6152068 ideals in 2000000 cliques
  112. Mon Mar 13 14:58:01 2023 commencing in-memory singleton removal
  113. Mon Mar 13 14:58:03 2023 begin with 84982366 relations and 86451743 unique ideals
  114. Mon Mar 13 14:58:09 2023 reduce to 84416908 relations and 79723899 ideals in 8 passes
  115. Mon Mar 13 14:58:09 2023 max relations containing the same ideal: 115
  116. Mon Mar 13 14:58:27 2023 removing 8172854 relations and 6172854 ideals in 2000000 cliques
  117. Mon Mar 13 14:58:29 2023 commencing in-memory singleton removal
  118. Mon Mar 13 14:58:31 2023 begin with 76244054 relations and 79723899 unique ideals
  119. Mon Mar 13 14:58:36 2023 reduce to 75622175 relations and 72916442 ideals in 8 passes
  120. Mon Mar 13 14:58:36 2023 max relations containing the same ideal: 106
  121. Mon Mar 13 14:58:53 2023 removing 6313583 relations and 4873935 ideals in 1439648 cliques
  122. Mon Mar 13 14:58:55 2023 commencing in-memory singleton removal
  123. Mon Mar 13 14:58:56 2023 begin with 69308592 relations and 72916442 unique ideals
  124. Mon Mar 13 14:59:01 2023 reduce to 68907080 relations and 67634379 ideals in 7 passes
  125. Mon Mar 13 14:59:01 2023 max relations containing the same ideal: 103
  126. Mon Mar 13 14:59:22 2023 relations with 0 large ideals: 81973
  127. Mon Mar 13 14:59:22 2023 relations with 1 large ideals: 17897
  128. Mon Mar 13 14:59:22 2023 relations with 2 large ideals: 162553
  129. Mon Mar 13 14:59:22 2023 relations with 3 large ideals: 1170525
  130. Mon Mar 13 14:59:22 2023 relations with 4 large ideals: 4682818
  131. Mon Mar 13 14:59:22 2023 relations with 5 large ideals: 11290004
  132. Mon Mar 13 14:59:22 2023 relations with 6 large ideals: 17196723
  133. Mon Mar 13 14:59:22 2023 relations with 7+ large ideals: 34304587
  134. Mon Mar 13 14:59:22 2023 commencing 2-way merge
  135. Mon Mar 13 14:59:45 2023 reduce to 43503477 relation sets and 42230776 unique ideals
  136. Mon Mar 13 14:59:45 2023 commencing full merge
  137. Mon Mar 13 15:12:14 2023 memory use: 5942.5 MB
  138. Mon Mar 13 15:12:17 2023 found 20126993 cycles, need 20084976
  139. Mon Mar 13 15:12:21 2023 weight of 20084976 cycles is about 2249873632 (112.02/cycle)
  140. Mon Mar 13 15:12:21 2023 distribution of cycle lengths:
  141. Mon Mar 13 15:12:21 2023 1 relations: 1441114
  142. Mon Mar 13 15:12:21 2023 2 relations: 1543589
  143. Mon Mar 13 15:12:21 2023 3 relations: 1572104
  144. Mon Mar 13 15:12:21 2023 4 relations: 1513282
  145. Mon Mar 13 15:12:21 2023 5 relations: 1464415
  146. Mon Mar 13 15:12:21 2023 6 relations: 1408577
  147. Mon Mar 13 15:12:21 2023 7 relations: 1336548
  148. Mon Mar 13 15:12:21 2023 8 relations: 1264546
  149. Mon Mar 13 15:12:21 2023 9 relations: 1179425
  150. Mon Mar 13 15:12:21 2023 10+ relations: 7361376
  151. Mon Mar 13 15:12:21 2023 heaviest cycle: 28 relations
  152. Mon Mar 13 15:12:24 2023 commencing cycle optimization
  153. Mon Mar 13 15:12:52 2023 start with 167737427 relations
  154. Mon Mar 13 15:16:46 2023 pruned 6535044 relations
  155. Mon Mar 13 15:16:46 2023 memory use: 4567.9 MB
  156. Mon Mar 13 15:16:46 2023 distribution of cycle lengths:
  157. Mon Mar 13 15:16:46 2023 1 relations: 1441114
  158. Mon Mar 13 15:16:46 2023 2 relations: 1572424
  159. Mon Mar 13 15:16:46 2023 3 relations: 1626364
  160. Mon Mar 13 15:16:46 2023 4 relations: 1562985
  161. Mon Mar 13 15:16:46 2023 5 relations: 1524186
  162. Mon Mar 13 15:16:46 2023 6 relations: 1461010
  163. Mon Mar 13 15:16:46 2023 7 relations: 1391606
  164. Mon Mar 13 15:16:46 2023 8 relations: 1310609
  165. Mon Mar 13 15:16:46 2023 9 relations: 1221346
  166. Mon Mar 13 15:16:46 2023 10+ relations: 6973332
  167. Mon Mar 13 15:16:46 2023 heaviest cycle: 28 relations
  168. Mon Mar 13 15:17:08 2023 RelProcTime: 2918
  169. Mon Mar 13 15:17:08 2023
  170. Mon Mar 13 15:17:08 2023 commencing linear algebra
  171. Mon Mar 13 15:17:08 2023 using VBITS=256
  172. Mon Mar 13 15:17:09 2023 read 20084976 cycles
  173. Mon Mar 13 15:17:35 2023 cycles contain 68043524 unique relations
  174. Mon Mar 13 15:18:20 2023 read 68043524 relations
  175. Mon Mar 13 15:18:30 2023 using 20 quadratic characters above 4294917295
  176. Mon Mar 13 15:18:43 2023 building initial matrix
  177. Mon Mar 13 15:27:08 2023 memory use: 8424.9 MB
  178. Mon Mar 13 15:27:13 2023 read 20084976 cycles
  179. Mon Mar 13 15:27:16 2023 matrix is 20084798 x 20084976 (8949.2 MB) with weight 2539741853 (126.45/col)
  180. Mon Mar 13 15:27:16 2023 sparse part has weight 2125049520 (105.80/col)
  181. Mon Mar 13 15:29:50 2023 filtering completed in 2 passes
  182. Mon Mar 13 15:29:53 2023 matrix is 20084239 x 20084403 (8949.2 MB) with weight 2539723492 (126.45/col)
  183. Mon Mar 13 15:29:53 2023 sparse part has weight 2125043059 (105.81/col)
  184. Mon Mar 13 15:30:23 2023 matrix starts at (0, 0)
  185. Mon Mar 13 15:30:25 2023 matrix is 20084239 x 20084403 (8949.2 MB) with weight 2539723492 (126.45/col)
  186. Mon Mar 13 15:30:25 2023 sparse part has weight 2125043059 (105.81/col)
  187. Mon Mar 13 15:30:25 2023 saving the first 240 matrix rows for later
  188. Mon Mar 13 15:30:27 2023 matrix includes 256 packed rows
  189. Mon Mar 13 15:30:32 2023 matrix is 20083999 x 20084403 (8319.4 MB) with weight 1951464268 (97.16/col)
  190. Mon Mar 13 15:30:32 2023 sparse part has weight 1859524471 (92.59/col)
  191. Mon Mar 13 15:30:33 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  192. Mon Mar 13 15:30:33 2023 selected card has CUDA arch 8.6
  193. Mon Mar 13 15:31:54 2023 commencing Lanczos iteration
  194. Mon Mar 13 15:31:55 2023 memory use: 19396.9 MB
  195. Mon Mar 13 15:33:06 2023 linear algebra at 0.2%, ETA 12h43m
  196. Mon Mar 13 15:34:53 2023 checking every 20000 dimensions, checkpointing every 1580000 dimensions
  197. Tue Mar 14 12:18:16 2023 lanczos halted after 78690 iterations (dim = 20083995)
  198. Tue Mar 14 12:19:14 2023 recovered 29 nontrivial dependencies
  199. Tue Mar 14 12:19:14 2023 BLanczosTime: 75726
  200. Tue Mar 14 12:19:14 2023
  201. Tue Mar 14 12:19:14 2023 commencing square root phase
  202. Tue Mar 14 12:19:14 2023 handling dependencies 1 to 64
  203. Tue Mar 14 12:19:14 2023 reading relations for dependency 1
  204. Tue Mar 14 12:19:16 2023 read 10042128 cycles
  205. Tue Mar 14 12:19:29 2023 cycles contain 34015498 unique relations
  206. Tue Mar 14 12:20:05 2023 read 34015498 relations
  207. Tue Mar 14 12:21:42 2023 multiplying 34015498 relations
  208. Tue Mar 14 12:28:20 2023 multiply complete, coefficients have about 933.74 million bits
  209. Tue Mar 14 12:28:22 2023 initial square root is modulo 238228589
  210. Tue Mar 14 12:32:35 2023 sqrtTime: 801
  211. Tue Mar 14 12:32:35 2023 p91 factor: 7313949122168977178925618952298983878142965161326389906968952198418996218313889617166865097
  212. Tue Mar 14 12:32:35 2023 p164 factor: 22404794553040703461485470631130681908931129024770197039964502210946810120680273762025149661146599873954554727268470793423323821594291209418270733440610588463269013
  213. Tue Mar 14 12:32:35 2023 elapsed time 22:04:06
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