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May 9th, 2023
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  1. Mon May 8 10:55:43 2023 Msieve v. 1.54 (SVN 03e8738)
  2. Mon May 8 10:55:43 2023 random seeds: 558c0291 116f0139
  3. Mon May 8 10:55:43 2023 Using 15 OpenMP threads
  4. Mon May 8 10:55:43 2023 factoring 17697209012327603383437222795134715023596327884240571890230423635325552311604031645445602284507628812266315721055005383214850944421729351752335890640327738085938630979352254699045195452042696302022424545737335250629 (215 digits)
  5. Mon May 8 10:55:43 2023 no P-1/P+1/ECM available, skipping
  6. Mon May 8 10:55:43 2023 commencing number field sieve (215-digit input)
  7. Mon May 8 10:55:43 2023 R0: 706965049015104726304243824403699312929344953
  8. Mon May 8 10:55:43 2023 R1: -3742042951225759540014535187298779136
  9. Mon May 8 10:55:43 2023 A0: -1
  10. Mon May 8 10:55:43 2023 A1: -3
  11. Mon May 8 10:55:43 2023 A2: 6
  12. Mon May 8 10:55:43 2023 A3: 4
  13. Mon May 8 10:55:43 2023 A4: -5
  14. Mon May 8 10:55:43 2023 A5: -1
  15. Mon May 8 10:55:43 2023 A6: 1
  16. Mon May 8 10:55:43 2023 skew 1.00, size 3.457e-13, alpha 3.126, combined = 5.032e-14 rroots = 6
  17. Mon May 8 10:55:43 2023
  18. Mon May 8 10:55:43 2023 commencing relation filtering
  19. Mon May 8 10:55:43 2023 setting target matrix density to 120.0
  20. Mon May 8 10:55:43 2023 estimated available RAM is 64238.6 MB
  21. Mon May 8 10:55:43 2023 commencing duplicate removal, pass 1
  22. Mon May 8 10:57:09 2023 error -11 reading relation 113490806
  23. Mon May 8 10:58:04 2023 error -5 reading relation 190460988
  24. Mon May 8 10:59:28 2023 skipped 1578 relations with b > 2^32
  25. Mon May 8 10:59:28 2023 skipped 1 malformed relations
  26. Mon May 8 10:59:28 2023 found 10758001 hash collisions in 311346713 relations
  27. Mon May 8 10:59:32 2023 added 2438358 free relations
  28. Mon May 8 10:59:32 2023 commencing duplicate removal, pass 2
  29. Mon May 8 11:00:25 2023 found 0 duplicates and 313785071 unique relations
  30. Mon May 8 11:00:25 2023 memory use: 1044.8 MB
  31. Mon May 8 11:00:25 2023 reading ideals above 214892544
  32. Mon May 8 11:00:25 2023 commencing singleton removal, initial pass
  33. Mon May 8 11:05:36 2023 memory use: 6024.0 MB
  34. Mon May 8 11:05:36 2023 reading all ideals from disk
  35. Mon May 8 11:05:37 2023 memory use: 8115.4 MB
  36. Mon May 8 11:05:43 2023 commencing in-memory singleton removal
  37. Mon May 8 11:05:46 2023 begin with 313785071 relations and 258370373 unique ideals
  38. Mon May 8 11:06:06 2023 reduce to 229034224 relations and 168783340 ideals in 14 passes
  39. Mon May 8 11:06:06 2023 max relations containing the same ideal: 48
  40. Mon May 8 11:06:09 2023 reading ideals above 720000
  41. Mon May 8 11:06:09 2023 commencing singleton removal, initial pass
  42. Mon May 8 11:13:49 2023 memory use: 5512.0 MB
  43. Mon May 8 11:13:49 2023 reading all ideals from disk
  44. Mon May 8 11:13:50 2023 memory use: 11361.9 MB
  45. Mon May 8 11:14:01 2023 keeping 191309349 ideals with weight <= 200, target excess is 1186374
  46. Mon May 8 11:14:16 2023 commencing in-memory singleton removal
  47. Mon May 8 11:14:20 2023 begin with 229034224 relations and 191309349 unique ideals
  48. Mon May 8 11:14:26 2023 reduce to 229034046 relations and 191309171 ideals in 2 passes
  49. Mon May 8 11:14:26 2023 max relations containing the same ideal: 200
  50. Mon May 8 11:15:08 2023 removing 14063613 relations and 12063613 ideals in 2000000 cliques
  51. Mon May 8 11:15:12 2023 commencing in-memory singleton removal
  52. Mon May 8 11:15:16 2023 begin with 214970433 relations and 191309171 unique ideals
  53. Mon May 8 11:15:34 2023 reduce to 214273141 relations and 178539795 ideals in 8 passes
  54. Mon May 8 11:15:34 2023 max relations containing the same ideal: 199
  55. Mon May 8 11:16:13 2023 removing 10563790 relations and 8563790 ideals in 2000000 cliques
  56. Mon May 8 11:16:17 2023 commencing in-memory singleton removal
  57. Mon May 8 11:16:21 2023 begin with 203709351 relations and 178539795 unique ideals
  58. Mon May 8 11:16:38 2023 reduce to 203271911 relations and 169534034 ideals in 8 passes
  59. Mon May 8 11:16:38 2023 max relations containing the same ideal: 194
  60. Mon May 8 11:17:15 2023 removing 9473795 relations and 7473795 ideals in 2000000 cliques
  61. Mon May 8 11:17:18 2023 commencing in-memory singleton removal
  62. Mon May 8 11:17:22 2023 begin with 193798116 relations and 169534034 unique ideals
  63. Mon May 8 11:17:38 2023 reduce to 193423648 relations and 161682206 ideals in 8 passes
  64. Mon May 8 11:17:38 2023 max relations containing the same ideal: 189
  65. Mon May 8 11:18:12 2023 removing 8880444 relations and 6880444 ideals in 2000000 cliques
  66. Mon May 8 11:18:16 2023 commencing in-memory singleton removal
  67. Mon May 8 11:18:19 2023 begin with 184543204 relations and 161682206 unique ideals
  68. Mon May 8 11:18:32 2023 reduce to 184197182 relations and 154452379 ideals in 7 passes
  69. Mon May 8 11:18:32 2023 max relations containing the same ideal: 185
  70. Mon May 8 11:19:06 2023 removing 8504735 relations and 6504735 ideals in 2000000 cliques
  71. Mon May 8 11:19:09 2023 commencing in-memory singleton removal
  72. Mon May 8 11:19:13 2023 begin with 175692447 relations and 154452379 unique ideals
  73. Mon May 8 11:19:23 2023 reduce to 175361069 relations and 147612733 ideals in 6 passes
  74. Mon May 8 11:19:23 2023 max relations containing the same ideal: 178
  75. Mon May 8 11:19:56 2023 removing 8241227 relations and 6241227 ideals in 2000000 cliques
  76. Mon May 8 11:19:59 2023 commencing in-memory singleton removal
  77. Mon May 8 11:20:02 2023 begin with 167119842 relations and 147612733 unique ideals
  78. Mon May 8 11:20:14 2023 reduce to 166793683 relations and 141041946 ideals in 7 passes
  79. Mon May 8 11:20:14 2023 max relations containing the same ideal: 173
  80. Mon May 8 11:20:45 2023 removing 8052417 relations and 6052417 ideals in 2000000 cliques
  81. Mon May 8 11:20:48 2023 commencing in-memory singleton removal
  82. Mon May 8 11:20:51 2023 begin with 158741266 relations and 141041946 unique ideals
  83. Mon May 8 11:21:03 2023 reduce to 158416800 relations and 134661456 ideals in 8 passes
  84. Mon May 8 11:21:03 2023 max relations containing the same ideal: 169
  85. Mon May 8 11:21:33 2023 removing 7915218 relations and 5915218 ideals in 2000000 cliques
  86. Mon May 8 11:21:36 2023 commencing in-memory singleton removal
  87. Mon May 8 11:21:39 2023 begin with 150501582 relations and 134661456 unique ideals
  88. Mon May 8 11:21:49 2023 reduce to 150174005 relations and 128414902 ideals in 7 passes
  89. Mon May 8 11:21:49 2023 max relations containing the same ideal: 163
  90. Mon May 8 11:22:18 2023 removing 7819766 relations and 5819766 ideals in 2000000 cliques
  91. Mon May 8 11:22:21 2023 commencing in-memory singleton removal
  92. Mon May 8 11:22:23 2023 begin with 142354239 relations and 128414902 unique ideals
  93. Mon May 8 11:22:33 2023 reduce to 142020718 relations and 122257624 ideals in 7 passes
  94. Mon May 8 11:22:33 2023 max relations containing the same ideal: 155
  95. Mon May 8 11:23:00 2023 removing 7746893 relations and 5746893 ideals in 2000000 cliques
  96. Mon May 8 11:23:03 2023 commencing in-memory singleton removal
  97. Mon May 8 11:23:05 2023 begin with 134273825 relations and 122257624 unique ideals
  98. Mon May 8 11:23:15 2023 reduce to 133930272 relations and 116162879 ideals in 7 passes
  99. Mon May 8 11:23:15 2023 max relations containing the same ideal: 150
  100. Mon May 8 11:23:40 2023 removing 7702387 relations and 5702387 ideals in 2000000 cliques
  101. Mon May 8 11:23:43 2023 commencing in-memory singleton removal
  102. Mon May 8 11:23:45 2023 begin with 126227885 relations and 116162879 unique ideals
  103. Mon May 8 11:23:54 2023 reduce to 125872688 relations and 110100562 ideals in 7 passes
  104. Mon May 8 11:23:54 2023 max relations containing the same ideal: 145
  105. Mon May 8 11:24:18 2023 removing 7671936 relations and 5671936 ideals in 2000000 cliques
  106. Mon May 8 11:24:21 2023 commencing in-memory singleton removal
  107. Mon May 8 11:24:23 2023 begin with 118200752 relations and 110100562 unique ideals
  108. Mon May 8 11:24:32 2023 reduce to 117828397 relations and 104051065 ideals in 8 passes
  109. Mon May 8 11:24:32 2023 max relations containing the same ideal: 142
  110. Mon May 8 11:24:55 2023 removing 7659675 relations and 5659675 ideals in 2000000 cliques
  111. Mon May 8 11:24:57 2023 commencing in-memory singleton removal
  112. Mon May 8 11:24:59 2023 begin with 110168722 relations and 104051065 unique ideals
  113. Mon May 8 11:25:08 2023 reduce to 109773822 relations and 97990587 ideals in 8 passes
  114. Mon May 8 11:25:08 2023 max relations containing the same ideal: 131
  115. Mon May 8 11:25:29 2023 removing 7671860 relations and 5671860 ideals in 2000000 cliques
  116. Mon May 8 11:25:32 2023 commencing in-memory singleton removal
  117. Mon May 8 11:25:33 2023 begin with 102101962 relations and 97990587 unique ideals
  118. Mon May 8 11:25:41 2023 reduce to 101681268 relations and 91891386 ideals in 8 passes
  119. Mon May 8 11:25:41 2023 max relations containing the same ideal: 126
  120. Mon May 8 11:26:01 2023 removing 7690654 relations and 5690654 ideals in 2000000 cliques
  121. Mon May 8 11:26:04 2023 commencing in-memory singleton removal
  122. Mon May 8 11:26:05 2023 begin with 93990614 relations and 91891386 unique ideals
  123. Mon May 8 11:26:13 2023 reduce to 93536196 relations and 85738832 ideals in 8 passes
  124. Mon May 8 11:26:13 2023 max relations containing the same ideal: 117
  125. Mon May 8 11:26:31 2023 removing 7732545 relations and 5732545 ideals in 2000000 cliques
  126. Mon May 8 11:26:34 2023 commencing in-memory singleton removal
  127. Mon May 8 11:26:35 2023 begin with 85803651 relations and 85738832 unique ideals
  128. Mon May 8 11:26:41 2023 reduce to 85304919 relations and 79498449 ideals in 7 passes
  129. Mon May 8 11:26:41 2023 max relations containing the same ideal: 111
  130. Mon May 8 11:26:58 2023 removing 7791474 relations and 5791474 ideals in 2000000 cliques
  131. Mon May 8 11:27:00 2023 commencing in-memory singleton removal
  132. Mon May 8 11:27:02 2023 begin with 77513445 relations and 79498449 unique ideals
  133. Mon May 8 11:27:08 2023 reduce to 76959513 relations and 73142311 ideals in 8 passes
  134. Mon May 8 11:27:08 2023 max relations containing the same ideal: 103
  135. Mon May 8 11:27:24 2023 removing 7868650 relations and 5868650 ideals in 2000000 cliques
  136. Mon May 8 11:27:26 2023 commencing in-memory singleton removal
  137. Mon May 8 11:27:27 2023 begin with 69090863 relations and 73142311 unique ideals
  138. Mon May 8 11:27:33 2023 reduce to 68465080 relations and 66634025 ideals in 10 passes
  139. Mon May 8 11:27:33 2023 max relations containing the same ideal: 93
  140. Mon May 8 11:27:48 2023 removing 2414691 relations and 1959830 ideals in 454861 cliques
  141. Mon May 8 11:27:49 2023 commencing in-memory singleton removal
  142. Mon May 8 11:27:50 2023 begin with 66050389 relations and 66634025 unique ideals
  143. Mon May 8 11:27:54 2023 reduce to 65991444 relations and 64614916 ideals in 7 passes
  144. Mon May 8 11:27:54 2023 max relations containing the same ideal: 92
  145. Mon May 8 11:28:15 2023 relations with 0 large ideals: 90408
  146. Mon May 8 11:28:15 2023 relations with 1 large ideals: 17988
  147. Mon May 8 11:28:15 2023 relations with 2 large ideals: 194115
  148. Mon May 8 11:28:15 2023 relations with 3 large ideals: 1339092
  149. Mon May 8 11:28:15 2023 relations with 4 large ideals: 5094213
  150. Mon May 8 11:28:15 2023 relations with 5 large ideals: 11661224
  151. Mon May 8 11:28:15 2023 relations with 6 large ideals: 16839970
  152. Mon May 8 11:28:15 2023 relations with 7+ large ideals: 30754434
  153. Mon May 8 11:28:15 2023 commencing 2-way merge
  154. Mon May 8 11:28:36 2023 reduce to 41910771 relation sets and 40534243 unique ideals
  155. Mon May 8 11:28:36 2023 commencing full merge
  156. Mon May 8 11:40:38 2023 memory use: 5743.9 MB
  157. Mon May 8 11:40:41 2023 found 19012257 cycles, need 18980443
  158. Mon May 8 11:40:44 2023 weight of 18980443 cycles is about 2278110975 (120.02/cycle)
  159. Mon May 8 11:40:44 2023 distribution of cycle lengths:
  160. Mon May 8 11:40:44 2023 1 relations: 1204844
  161. Mon May 8 11:40:44 2023 2 relations: 1308485
  162. Mon May 8 11:40:44 2023 3 relations: 1358037
  163. Mon May 8 11:40:44 2023 4 relations: 1335420
  164. Mon May 8 11:40:44 2023 5 relations: 1319007
  165. Mon May 8 11:40:44 2023 6 relations: 1279407
  166. Mon May 8 11:40:44 2023 7 relations: 1241830
  167. Mon May 8 11:40:44 2023 8 relations: 1183666
  168. Mon May 8 11:40:44 2023 9 relations: 1121947
  169. Mon May 8 11:40:44 2023 10+ relations: 7627800
  170. Mon May 8 11:40:44 2023 heaviest cycle: 28 relations
  171. Mon May 8 11:40:48 2023 commencing cycle optimization
  172. Mon May 8 11:41:15 2023 start with 168195644 relations
  173. Mon May 8 11:45:13 2023 pruned 7178786 relations
  174. Mon May 8 11:45:13 2023 memory use: 4454.3 MB
  175. Mon May 8 11:45:13 2023 distribution of cycle lengths:
  176. Mon May 8 11:45:13 2023 1 relations: 1204844
  177. Mon May 8 11:45:13 2023 2 relations: 1334032
  178. Mon May 8 11:45:13 2023 3 relations: 1406267
  179. Mon May 8 11:45:13 2023 4 relations: 1382794
  180. Mon May 8 11:45:13 2023 5 relations: 1376257
  181. Mon May 8 11:45:13 2023 6 relations: 1334003
  182. Mon May 8 11:45:13 2023 7 relations: 1300659
  183. Mon May 8 11:45:13 2023 8 relations: 1234303
  184. Mon May 8 11:45:13 2023 9 relations: 1171305
  185. Mon May 8 11:45:13 2023 10+ relations: 7235979
  186. Mon May 8 11:45:13 2023 heaviest cycle: 28 relations
  187. Mon May 8 11:45:34 2023 RelProcTime: 2991
  188. Mon May 8 11:45:34 2023
  189. Mon May 8 11:45:34 2023 commencing linear algebra
  190. Mon May 8 11:45:34 2023 using VBITS=256
  191. Mon May 8 11:45:35 2023 read 18980443 cycles
  192. Mon May 8 11:46:01 2023 cycles contain 65224151 unique relations
  193. Mon May 8 11:46:39 2023 read 65224151 relations
  194. Mon May 8 11:46:49 2023 using 20 quadratic characters above 4294917295
  195. Mon May 8 11:47:02 2023 building initial matrix
  196. Mon May 8 11:54:53 2023 memory use: 7990.9 MB
  197. Mon May 8 11:54:58 2023 read 18980443 cycles
  198. Mon May 8 11:55:00 2023 matrix is 18980266 x 18980443 (8881.9 MB) with weight 2505462266 (132.00/col)
  199. Mon May 8 11:55:00 2023 sparse part has weight 2138526600 (112.67/col)
  200. Mon May 8 11:57:02 2023 filtering completed in 2 passes
  201. Mon May 8 11:57:04 2023 matrix is 18979993 x 18980155 (8881.9 MB) with weight 2505453838 (132.00/col)
  202. Mon May 8 11:57:04 2023 sparse part has weight 2138523741 (112.67/col)
  203. Mon May 8 11:57:32 2023 matrix starts at (0, 0)
  204. Mon May 8 11:57:34 2023 matrix is 18979993 x 18980155 (8881.9 MB) with weight 2505453838 (132.00/col)
  205. Mon May 8 11:57:34 2023 sparse part has weight 2138523741 (112.67/col)
  206. Mon May 8 11:57:34 2023 saving the first 240 matrix rows for later
  207. Mon May 8 11:57:36 2023 matrix includes 256 packed rows
  208. Mon May 8 11:57:41 2023 matrix is 18979753 x 18980155 (8265.7 MB) with weight 1955078768 (103.01/col)
  209. Mon May 8 11:57:41 2023 sparse part has weight 1863125830 (98.16/col)
  210. Mon May 8 11:57:41 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  211. Mon May 8 11:57:41 2023 selected card has CUDA arch 8.6
  212. Mon May 8 11:59:03 2023 commencing Lanczos iteration
  213. Mon May 8 11:59:03 2023 memory use: 19138.0 MB
  214. Mon May 8 12:00:04 2023 linear algebra at 0.2%, ETA 10h18m
  215. Mon May 8 12:01:35 2023 checking every 30000 dimensions, checkpointing every 1860000 dimensions
  216. Mon May 8 22:17:46 2023 lanczos halted after 74363 iterations (dim = 18979750)
  217. Mon May 8 22:18:38 2023 recovered 34 nontrivial dependencies
  218. Mon May 8 22:18:38 2023 BLanczosTime: 37984
  219. Mon May 8 22:18:38 2023
  220. Mon May 8 22:18:38 2023 commencing square root phase
  221. Mon May 8 22:18:38 2023 handling dependencies 1 to 64
  222. Mon May 8 22:18:38 2023 reading relations for dependency 1
  223. Mon May 8 22:18:40 2023 read 9489989 cycles
  224. Mon May 8 22:18:53 2023 cycles contain 32605448 unique relations
  225. Mon May 8 22:19:22 2023 read 32605448 relations
  226. Mon May 8 22:20:54 2023 multiplying 32605448 relations
  227. Mon May 8 22:27:03 2023 multiply complete, coefficients have about 853.16 million bits
  228. Mon May 8 22:27:05 2023 initial square root is modulo 45091729
  229. Mon May 8 22:30:43 2023 found factor: 1726758161481354769457854440659286098933003979655132788586249
  230. Mon May 8 22:30:43 2023 reading relations for dependency 2
  231. Mon May 8 22:30:45 2023 read 9487176 cycles
  232. Mon May 8 22:30:58 2023 cycles contain 32606294 unique relations
  233. Mon May 8 22:31:21 2023 read 32606294 relations
  234. Mon May 8 22:32:51 2023 multiplying 32606294 relations
  235. Mon May 8 22:38:59 2023 multiply complete, coefficients have about 853.18 million bits
  236. Mon May 8 22:39:01 2023 initial square root is modulo 45114023
  237. Mon May 8 22:42:36 2023 GCD is 1, no factor found
  238. Mon May 8 22:42:36 2023 reading relations for dependency 3
  239. Mon May 8 22:42:38 2023 read 9490398 cycles
  240. Mon May 8 22:42:51 2023 cycles contain 32619244 unique relations
  241. Mon May 8 22:43:14 2023 read 32619244 relations
  242. Mon May 8 22:44:44 2023 multiplying 32619244 relations
  243. Mon May 8 22:51:08 2023 multiply complete, coefficients have about 853.52 million bits
  244. Mon May 8 22:51:10 2023 initial square root is modulo 45433811
  245. Mon May 8 22:54:43 2023 found factor: 1726758161481354769457854440659286098933003979655132788586249
  246. Mon May 8 22:54:43 2023 reading relations for dependency 4
  247. Mon May 8 22:54:44 2023 read 9489158 cycles
  248. Mon May 8 22:54:57 2023 cycles contain 32610562 unique relations
  249. Mon May 8 22:55:22 2023 read 32610562 relations
  250. Mon May 8 22:56:53 2023 multiplying 32610562 relations
  251. Mon May 8 23:02:57 2023 multiply complete, coefficients have about 853.29 million bits
  252. Mon May 8 23:02:59 2023 initial square root is modulo 45216299
  253. Mon May 8 23:06:31 2023 sqrtTime: 2873
  254. Mon May 8 23:06:31 2023 p61 factor: 1726758161481354769457854440659286098933003979655132788586249
  255. Mon May 8 23:06:31 2023 p73 factor: 1096821015553705097014157549956050057057069695189948586938845800822572911
  256. Mon May 8 23:06:31 2023 p82 factor: 9344100474659385944037488195052989086809973439105248083211013977312395345360042611
  257. Mon May 8 23:06:31 2023 elapsed time 12:10:48
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