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gchilders

10781_59m1

gchilders
Dec 16th, 2024
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  1. Mon Dec 16 10:45:51 2024
  2. Mon Dec 16 10:45:51 2024
  3. Mon Dec 16 10:45:51 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Dec 16 10:45:51 2024 random seeds: 2b219ccc a4c6d16f
  5. Mon Dec 16 10:45:51 2024 MPI process 0 of 1
  6. Mon Dec 16 10:45:51 2024 Using 46 OpenMP threads
  7. Mon Dec 16 10:45:51 2024 factoring 21570440368128344264029112675845996814217945605134819613545481550462017896006162376361851848992678231221371633368642024002716653571668590844279531529033294650943873729788323966190726560364000967612052664528798257009258819536721 (227 digits)
  8. Mon Dec 16 10:45:52 2024 no P-1/P+1/ECM available, skipping
  9. Mon Dec 16 10:45:52 2024 commencing number field sieve (227-digit input)
  10. Mon Dec 16 10:45:52 2024 R0: -2465520128604587147588275870617950951285120123761
  11. Mon Dec 16 10:45:52 2024 R1: 1
  12. Mon Dec 16 10:45:52 2024 A0: -10781
  13. Mon Dec 16 10:45:52 2024 A1: 0
  14. Mon Dec 16 10:45:52 2024 A2: 0
  15. Mon Dec 16 10:45:52 2024 A3: 0
  16. Mon Dec 16 10:45:52 2024 A4: 0
  17. Mon Dec 16 10:45:52 2024 A5: 1
  18. Mon Dec 16 10:45:52 2024 skew 1.00, size 8.752e-17, alpha 0.150, combined = 1.602e-13 rroots = 1
  19. Mon Dec 16 10:45:52 2024
  20. Mon Dec 16 10:45:52 2024 commencing relation filtering
  21. Mon Dec 16 10:45:52 2024 setting target matrix density to 110.0
  22. Mon Dec 16 10:45:52 2024 estimated available RAM is 192069.2 MB
  23. Mon Dec 16 10:45:52 2024 commencing duplicate removal, pass 1
  24. Mon Dec 16 10:46:54 2024 error -11 reading relation 88635240
  25. Mon Dec 16 10:47:14 2024 error -15 reading relation 117134327
  26. Mon Dec 16 10:47:35 2024 error -1 reading relation 148054622
  27. Mon Dec 16 10:48:03 2024 skipped 30 relations with b > 2^32
  28. Mon Dec 16 10:48:03 2024 skipped 211 malformed relations
  29. Mon Dec 16 10:48:03 2024 found 7840944 hash collisions in 188929115 relations
  30. Mon Dec 16 10:48:34 2024 added 731911 free relations
  31. Mon Dec 16 10:48:34 2024 commencing duplicate removal, pass 2
  32. Mon Dec 16 10:49:46 2024 found 0 duplicates and 189661026 unique relations
  33. Mon Dec 16 10:49:46 2024 memory use: 554.4 MB
  34. Mon Dec 16 10:49:46 2024 reading ideals above 720000
  35. Mon Dec 16 10:49:46 2024 commencing singleton removal, initial pass
  36. Mon Dec 16 10:56:29 2024 memory use: 5512.0 MB
  37. Mon Dec 16 10:56:30 2024 reading all ideals from disk
  38. Mon Dec 16 10:56:34 2024 memory use: 9048.4 MB
  39. Mon Dec 16 10:56:47 2024 keeping 175056320 ideals with weight <= 200, target excess is 960704
  40. Mon Dec 16 10:57:04 2024 commencing in-memory singleton removal
  41. Mon Dec 16 10:57:06 2024 begin with 189661026 relations and 175056320 unique ideals
  42. Mon Dec 16 10:57:15 2024 reduce to 124228787 relations and 103300485 ideals in 15 passes
  43. Mon Dec 16 10:57:15 2024 max relations containing the same ideal: 159
  44. Mon Dec 16 10:57:46 2024 removing 11114804 relations and 9114804 ideals in 2000000 cliques
  45. Mon Dec 16 10:57:53 2024 commencing in-memory singleton removal
  46. Mon Dec 16 10:57:54 2024 begin with 113113983 relations and 103300485 unique ideals
  47. Mon Dec 16 10:57:58 2024 reduce to 112299306 relations and 93353852 ideals in 8 passes
  48. Mon Dec 16 10:57:58 2024 max relations containing the same ideal: 150
  49. Mon Dec 16 10:58:27 2024 removing 8558945 relations and 6558945 ideals in 2000000 cliques
  50. Mon Dec 16 10:58:32 2024 commencing in-memory singleton removal
  51. Mon Dec 16 10:58:33 2024 begin with 103740361 relations and 93353852 unique ideals
  52. Mon Dec 16 10:58:37 2024 reduce to 103186094 relations and 86230475 ideals in 8 passes
  53. Mon Dec 16 10:58:37 2024 max relations containing the same ideal: 143
  54. Mon Dec 16 10:59:04 2024 removing 7809191 relations and 5809191 ideals in 2000000 cliques
  55. Mon Dec 16 10:59:09 2024 commencing in-memory singleton removal
  56. Mon Dec 16 10:59:10 2024 begin with 95376903 relations and 86230475 unique ideals
  57. Mon Dec 16 10:59:13 2024 reduce to 94876009 relations and 79910969 ideals in 8 passes
  58. Mon Dec 16 10:59:13 2024 max relations containing the same ideal: 134
  59. Mon Dec 16 10:59:38 2024 removing 7444530 relations and 5444530 ideals in 2000000 cliques
  60. Mon Dec 16 10:59:43 2024 commencing in-memory singleton removal
  61. Mon Dec 16 10:59:44 2024 begin with 87431479 relations and 79910969 unique ideals
  62. Mon Dec 16 10:59:47 2024 reduce to 86940677 relations and 73966119 ideals in 7 passes
  63. Mon Dec 16 10:59:47 2024 max relations containing the same ideal: 124
  64. Mon Dec 16 11:00:09 2024 removing 7247071 relations and 5247071 ideals in 2000000 cliques
  65. Mon Dec 16 11:00:14 2024 commencing in-memory singleton removal
  66. Mon Dec 16 11:00:14 2024 begin with 79693606 relations and 73966119 unique ideals
  67. Mon Dec 16 11:00:17 2024 reduce to 79193959 relations and 68209231 ideals in 7 passes
  68. Mon Dec 16 11:00:17 2024 max relations containing the same ideal: 118
  69. Mon Dec 16 11:00:38 2024 removing 7140306 relations and 5140306 ideals in 2000000 cliques
  70. Mon Dec 16 11:00:42 2024 commencing in-memory singleton removal
  71. Mon Dec 16 11:00:43 2024 begin with 72053653 relations and 68209231 unique ideals
  72. Mon Dec 16 11:00:46 2024 reduce to 71525198 relations and 62528681 ideals in 8 passes
  73. Mon Dec 16 11:00:46 2024 max relations containing the same ideal: 111
  74. Mon Dec 16 11:01:05 2024 removing 7104389 relations and 5104389 ideals in 2000000 cliques
  75. Mon Dec 16 11:01:09 2024 commencing in-memory singleton removal
  76. Mon Dec 16 11:01:10 2024 begin with 64420809 relations and 62528681 unique ideals
  77. Mon Dec 16 11:01:12 2024 reduce to 63839894 relations and 56829100 ideals in 8 passes
  78. Mon Dec 16 11:01:12 2024 max relations containing the same ideal: 105
  79. Mon Dec 16 11:01:32 2024 removing 7130871 relations and 5130871 ideals in 2000000 cliques
  80. Mon Dec 16 11:01:36 2024 commencing in-memory singleton removal
  81. Mon Dec 16 11:01:37 2024 begin with 56709023 relations and 56829100 unique ideals
  82. Mon Dec 16 11:01:39 2024 reduce to 56050559 relations and 51021719 ideals in 8 passes
  83. Mon Dec 16 11:01:39 2024 max relations containing the same ideal: 95
  84. Mon Dec 16 11:01:54 2024 removing 7216136 relations and 5216136 ideals in 2000000 cliques
  85. Mon Dec 16 11:01:58 2024 commencing in-memory singleton removal
  86. Mon Dec 16 11:01:58 2024 begin with 48834423 relations and 51021719 unique ideals
  87. Mon Dec 16 11:02:00 2024 reduce to 48048361 relations and 44995337 ideals in 9 passes
  88. Mon Dec 16 11:02:00 2024 max relations containing the same ideal: 84
  89. Mon Dec 16 11:02:14 2024 removing 7207610 relations and 5269003 ideals in 1938607 cliques
  90. Mon Dec 16 11:02:17 2024 commencing in-memory singleton removal
  91. Mon Dec 16 11:02:18 2024 begin with 40840751 relations and 44995337 unique ideals
  92. Mon Dec 16 11:02:19 2024 reduce to 39890427 relations and 38742651 ideals in 10 passes
  93. Mon Dec 16 11:02:19 2024 max relations containing the same ideal: 74
  94. Mon Dec 16 11:02:32 2024 removing 280860 relations and 247501 ideals in 33359 cliques
  95. Mon Dec 16 11:02:33 2024 commencing in-memory singleton removal
  96. Mon Dec 16 11:02:34 2024 begin with 39609567 relations and 38742651 unique ideals
  97. Mon Dec 16 11:02:35 2024 reduce to 39608196 relations and 38493779 ideals in 5 passes
  98. Mon Dec 16 11:02:35 2024 max relations containing the same ideal: 74
  99. Mon Dec 16 11:02:41 2024 relations with 0 large ideals: 19479
  100. Mon Dec 16 11:02:41 2024 relations with 1 large ideals: 14014
  101. Mon Dec 16 11:02:41 2024 relations with 2 large ideals: 202202
  102. Mon Dec 16 11:02:41 2024 relations with 3 large ideals: 1275925
  103. Mon Dec 16 11:02:41 2024 relations with 4 large ideals: 4342457
  104. Mon Dec 16 11:02:41 2024 relations with 5 large ideals: 8777003
  105. Mon Dec 16 11:02:41 2024 relations with 6 large ideals: 11258850
  106. Mon Dec 16 11:02:41 2024 relations with 7+ large ideals: 13718266
  107. Mon Dec 16 11:02:41 2024 commencing 2-way merge
  108. Mon Dec 16 11:02:59 2024 reduce to 24713033 relation sets and 23598616 unique ideals
  109. Mon Dec 16 11:02:59 2024 commencing full merge
  110. Mon Dec 16 11:08:52 2024 memory use: 2783.4 MB
  111. Mon Dec 16 11:08:53 2024 found 11022099 cycles, need 10932816
  112. Mon Dec 16 11:08:57 2024 weight of 10932816 cycles is about 1202670006 (110.01/cycle)
  113. Mon Dec 16 11:08:57 2024 distribution of cycle lengths:
  114. Mon Dec 16 11:08:57 2024 1 relations: 895550
  115. Mon Dec 16 11:08:57 2024 2 relations: 807228
  116. Mon Dec 16 11:08:57 2024 3 relations: 838194
  117. Mon Dec 16 11:08:57 2024 4 relations: 823027
  118. Mon Dec 16 11:08:57 2024 5 relations: 820447
  119. Mon Dec 16 11:08:57 2024 6 relations: 805484
  120. Mon Dec 16 11:08:57 2024 7 relations: 772038
  121. Mon Dec 16 11:08:57 2024 8 relations: 729350
  122. Mon Dec 16 11:08:57 2024 9 relations: 669710
  123. Mon Dec 16 11:08:57 2024 10+ relations: 3771788
  124. Mon Dec 16 11:08:57 2024 heaviest cycle: 28 relations
  125. Mon Dec 16 11:09:01 2024 commencing cycle optimization
  126. Mon Dec 16 11:09:17 2024 start with 87664837 relations
  127. Mon Dec 16 11:11:38 2024 pruned 3388635 relations
  128. Mon Dec 16 11:11:38 2024 memory use: 2505.6 MB
  129. Mon Dec 16 11:11:39 2024 distribution of cycle lengths:
  130. Mon Dec 16 11:11:39 2024 1 relations: 895550
  131. Mon Dec 16 11:11:39 2024 2 relations: 828277
  132. Mon Dec 16 11:11:39 2024 3 relations: 871584
  133. Mon Dec 16 11:11:39 2024 4 relations: 853655
  134. Mon Dec 16 11:11:39 2024 5 relations: 856565
  135. Mon Dec 16 11:11:39 2024 6 relations: 838443
  136. Mon Dec 16 11:11:39 2024 7 relations: 804495
  137. Mon Dec 16 11:11:39 2024 8 relations: 755137
  138. Mon Dec 16 11:11:39 2024 9 relations: 690458
  139. Mon Dec 16 11:11:39 2024 10+ relations: 3538652
  140. Mon Dec 16 11:11:39 2024 heaviest cycle: 28 relations
  141. Mon Dec 16 11:11:56 2024 RelProcTime: 1564
  142. Mon Dec 16 11:11:56 2024 elapsed time 00:26:05
  143. Mon Dec 16 11:11:59 2024
  144. Mon Dec 16 11:11:59 2024
  145. Mon Dec 16 11:11:59 2024 Msieve v. 1.54 (SVN Unversioned directory)
  146. Mon Dec 16 11:11:59 2024 random seeds: 7c576fa0 5e6dd625
  147. Mon Dec 16 11:11:59 2024 MPI process 0 of 1
  148. Mon Dec 16 11:11:59 2024 Using 46 OpenMP threads
  149. Mon Dec 16 11:11:59 2024 factoring 21570440368128344264029112675845996814217945605134819613545481550462017896006162376361851848992678231221371633368642024002716653571668590844279531529033294650943873729788323966190726560364000967612052664528798257009258819536721 (227 digits)
  150. Mon Dec 16 11:12:00 2024 no P-1/P+1/ECM available, skipping
  151. Mon Dec 16 11:12:00 2024 commencing number field sieve (227-digit input)
  152. Mon Dec 16 11:12:00 2024 R0: -2465520128604587147588275870617950951285120123761
  153. Mon Dec 16 11:12:00 2024 R1: 1
  154. Mon Dec 16 11:12:00 2024 A0: -10781
  155. Mon Dec 16 11:12:00 2024 A1: 0
  156. Mon Dec 16 11:12:00 2024 A2: 0
  157. Mon Dec 16 11:12:00 2024 A3: 0
  158. Mon Dec 16 11:12:00 2024 A4: 0
  159. Mon Dec 16 11:12:00 2024 A5: 1
  160. Mon Dec 16 11:12:00 2024 skew 1.00, size 8.752e-17, alpha 0.150, combined = 1.602e-13 rroots = 1
  161. Mon Dec 16 11:12:00 2024
  162. Mon Dec 16 11:12:00 2024 commencing linear algebra
  163. Mon Dec 16 11:12:00 2024 using VBITS=128
  164. Mon Dec 16 11:12:00 2024 stopping after matrix build
  165. Mon Dec 16 11:12:00 2024 initialized process (0,0) of 1 x 1 grid
  166. Mon Dec 16 11:12:02 2024 read 10932816 cycles
  167. Mon Dec 16 11:12:20 2024 cycles contain 38842533 unique relations
  168. Mon Dec 16 11:12:44 2024 read 38842533 relations
  169. Mon Dec 16 11:12:47 2024 using 20 quadratic characters above 4294917295
  170. Mon Dec 16 11:12:52 2024 building initial matrix
  171. Mon Dec 16 11:20:28 2024 memory use: 5172.0 MB
  172. Mon Dec 16 11:20:40 2024 read 10932816 cycles
  173. Mon Dec 16 11:20:41 2024 matrix is 10932636 x 10932816 (4769.2 MB) with weight 1391898456 (127.31/col)
  174. Mon Dec 16 11:20:41 2024 sparse part has weight 1129964791 (103.36/col)
  175. Mon Dec 16 11:22:52 2024 filtering completed in 2 passes
  176. Mon Dec 16 11:22:53 2024 matrix is 10930744 x 10930922 (4769.0 MB) with weight 1391820529 (127.33/col)
  177. Mon Dec 16 11:22:53 2024 sparse part has weight 1129934594 (103.37/col)
  178. Mon Dec 16 11:23:21 2024 BLanczosTime: 681
  179. Mon Dec 16 11:23:21 2024 elapsed time 00:11:22
  180. Mon Dec 16 11:23:22 2024
  181. Mon Dec 16 11:23:22 2024
  182. Mon Dec 16 11:23:22 2024 Msieve v. 1.54 (SVN Unversioned directory)
  183. Mon Dec 16 11:23:22 2024 random seeds: 82f44f43 c7276776
  184. Mon Dec 16 11:23:22 2024 MPI process 0 of 2
  185. Mon Dec 16 11:23:22 2024 Using 10 OpenMP threads
  186. Mon Dec 16 11:23:22 2024 factoring 21570440368128344264029112675845996814217945605134819613545481550462017896006162376361851848992678231221371633368642024002716653571668590844279531529033294650943873729788323966190726560364000967612052664528798257009258819536721 (227 digits)
  187. Mon Dec 16 11:23:23 2024 no P-1/P+1/ECM available, skipping
  188. Mon Dec 16 11:23:23 2024 commencing number field sieve (227-digit input)
  189. Mon Dec 16 11:23:23 2024 R0: -2465520128604587147588275870617950951285120123761
  190. Mon Dec 16 11:23:23 2024 R1: 1
  191. Mon Dec 16 11:23:23 2024 A0: -10781
  192. Mon Dec 16 11:23:23 2024 A1: 0
  193. Mon Dec 16 11:23:23 2024 A2: 0
  194. Mon Dec 16 11:23:23 2024 A3: 0
  195. Mon Dec 16 11:23:23 2024 A4: 0
  196. Mon Dec 16 11:23:23 2024 A5: 1
  197. Mon Dec 16 11:23:23 2024 skew 1.00, size 8.752e-17, alpha 0.150, combined = 1.602e-13 rroots = 1
  198. Mon Dec 16 11:23:23 2024
  199. Mon Dec 16 11:23:23 2024 commencing linear algebra
  200. Mon Dec 16 11:23:23 2024 using VBITS=256
  201. Mon Dec 16 11:23:23 2024 skipping matrix build
  202. Mon Dec 16 11:23:23 2024 initialized process (0,0) of 1 x 2 grid
  203. Mon Dec 16 11:23:28 2024 matrix starts at (0, 0)
  204. Mon Dec 16 11:23:29 2024 matrix is 10930744 x 5465399 (2384.5 MB) with weight 695913049 (127.33/col)
  205. Mon Dec 16 11:23:29 2024 sparse part has weight 564967454 (103.37/col)
  206. Mon Dec 16 11:23:29 2024 saving the first 240 matrix rows for later
  207. Mon Dec 16 11:23:31 2024 matrix includes 256 packed rows
  208. Mon Dec 16 11:23:33 2024 matrix is 10930504 x 5465399 (2191.6 MB) with weight 514068060 (94.06/col)
  209. Mon Dec 16 11:23:33 2024 sparse part has weight 487081110 (89.12/col)
  210. Mon Dec 16 11:23:33 2024 using GPU 0 (NVIDIA A100-SXM4-40GB)
  211. Mon Dec 16 11:23:33 2024 selected card has CUDA arch 8.0
  212. Mon Dec 16 11:24:22 2024 commencing Lanczos iteration
  213. Mon Dec 16 11:24:23 2024 memory use: 5613.4 MB
  214. Mon Dec 16 11:24:34 2024 linear algebra at 0.3%, ETA 1h 5m
  215. Mon Dec 16 11:24:50 2024 checking every 170000 dimensions, checkpointing every 10370000 dimensions
  216. Mon Dec 16 12:28:12 2024 lanczos halted after 42826 iterations (dim = 10930502)
  217. Mon Dec 16 12:28:56 2024 recovered 35 nontrivial dependencies
  218. Mon Dec 16 12:28:56 2024 BLanczosTime: 3933
  219. Mon Dec 16 12:28:56 2024 elapsed time 01:05:34
  220. Mon Dec 16 12:28:58 2024
  221. Mon Dec 16 12:28:58 2024
  222. Mon Dec 16 12:28:58 2024 Msieve v. 1.54 (SVN Unversioned directory)
  223. Mon Dec 16 12:28:58 2024 random seeds: 7c202229 348d3193
  224. Mon Dec 16 12:28:58 2024 MPI process 0 of 1
  225. Mon Dec 16 12:28:58 2024 Using 32 OpenMP threads
  226. Mon Dec 16 12:28:58 2024 factoring 21570440368128344264029112675845996814217945605134819613545481550462017896006162376361851848992678231221371633368642024002716653571668590844279531529033294650943873729788323966190726560364000967612052664528798257009258819536721 (227 digits)
  227. Mon Dec 16 12:28:59 2024 no P-1/P+1/ECM available, skipping
  228. Mon Dec 16 12:28:59 2024 commencing number field sieve (227-digit input)
  229. Mon Dec 16 12:28:59 2024 R0: -2465520128604587147588275870617950951285120123761
  230. Mon Dec 16 12:28:59 2024 R1: 1
  231. Mon Dec 16 12:28:59 2024 A0: -10781
  232. Mon Dec 16 12:28:59 2024 A1: 0
  233. Mon Dec 16 12:28:59 2024 A2: 0
  234. Mon Dec 16 12:28:59 2024 A3: 0
  235. Mon Dec 16 12:28:59 2024 A4: 0
  236. Mon Dec 16 12:28:59 2024 A5: 1
  237. Mon Dec 16 12:28:59 2024 skew 1.00, size 8.752e-17, alpha 0.150, combined = 1.602e-13 rroots = 1
  238. Mon Dec 16 12:28:59 2024
  239. Mon Dec 16 12:28:59 2024 commencing square root phase
  240. Mon Dec 16 12:28:59 2024 reading relations for dependency 1
  241. Mon Dec 16 12:29:00 2024 read 5465706 cycles
  242. Mon Dec 16 12:29:09 2024 cycles contain 19421836 unique relations
  243. Mon Dec 16 12:29:59 2024 read 19421836 relations
  244. Mon Dec 16 12:31:04 2024 multiplying 19421836 relations
  245. Mon Dec 16 12:31:59 2024 multiply complete, coefficients have about 525.62 million bits
  246. Mon Dec 16 12:32:01 2024 initial square root is modulo 2698921571
  247. Mon Dec 16 12:34:45 2024 Newton iteration failed to converge
  248. Mon Dec 16 12:34:45 2024 algebraic square root failed
  249. Mon Dec 16 12:34:45 2024 reading relations for dependency 2
  250. Mon Dec 16 12:34:47 2024 read 5466229 cycles
  251. Mon Dec 16 12:34:58 2024 cycles contain 19421698 unique relations
  252. Mon Dec 16 12:35:18 2024 read 19421698 relations
  253. Mon Dec 16 12:36:21 2024 multiplying 19421698 relations
  254. Mon Dec 16 12:37:18 2024 multiply complete, coefficients have about 525.62 million bits
  255. Mon Dec 16 12:37:19 2024 initial square root is modulo 2699867881
  256. Mon Dec 16 12:40:07 2024 sqrtTime: 668
  257. Mon Dec 16 12:40:07 2024 p96 factor: 131460464648896274424968624693444933099363079245063858195245340594540710674880468880318626405559
  258. Mon Dec 16 12:40:07 2024 p132 factor: 164083098486975011435573675783968035898005490319380420758850294180079643484829872970059047044396195869214174713893961969600534692919
  259. Mon Dec 16 12:40:07 2024 elapsed time 00:11:09
  260.  
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