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Msieve log of 7-3,1113L

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Apr 26th, 2023
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  1. Mon Apr 17 14:14:28 2023
  2. Mon Apr 17 14:14:28 2023
  3. Mon Apr 17 14:14:28 2023 Msieve v. 1.52 (SVN unknown)
  4. Mon Apr 17 14:14:28 2023 random seeds: b8f509c0 e7a53ab0
  5. Mon Apr 17 14:14:28 2023 factoring 297949694312804847294899991487559232411747401217813741210720525676428297235818327693655426836180763595076636567887469575269257974833681407408659146308606745947540624942634949325546295402504818261850338822193235820277 (216 digits)
  6. Mon Apr 17 14:14:29 2023 no P-1/P+1/ECM available, skipping
  7. Mon Apr 17 14:14:29 2023 commencing number field sieve (216-digit input)
  8. Mon Apr 17 14:14:29 2023 R0: 616873509628062366310139402483069746689975130
  9. Mon Apr 17 14:14:29 2023 R1: -23861715484377209601555171628930521
  10. Mon Apr 17 14:14:29 2023 A0: -9261
  11. Mon Apr 17 14:14:29 2023 A1: 18522
  12. Mon Apr 17 14:14:29 2023 A2: -7938
  13. Mon Apr 17 14:14:29 2023 A3: 882
  14. Mon Apr 17 14:14:29 2023 A4: 84
  15. Mon Apr 17 14:14:29 2023 A5: -21
  16. Mon Apr 17 14:14:29 2023 A6: 1
  17. Mon Apr 17 14:14:29 2023 skew 4.58, size 2.341e-013, alpha 1.443, combined = 3.642e-014 rroots = 6
  18. Mon Apr 17 14:14:29 2023
  19. Mon Apr 17 14:14:29 2023 commencing relation filtering
  20. Mon Apr 17 14:14:29 2023 setting target matrix density to 112.0
  21. Mon Apr 17 14:14:29 2023 estimated available RAM is 130978.7 MB
  22. Mon Apr 17 14:14:29 2023 commencing duplicate removal, pass 1
  23. Mon Apr 17 14:16:52 2023 error -15 reading relation 14092020
  24. Mon Apr 17 14:16:57 2023 error -15 reading relation 14595903
  25. Mon Apr 17 14:17:00 2023 error -1 reading relation 14855859
  26. Mon Apr 17 14:17:21 2023 error -5 reading relation 16988649
  27. Mon Apr 17 15:23:43 2023 error -15 reading relation 411877644
  28. Mon Apr 17 15:23:43 2023 error -9 reading relation 411877904
  29. Mon Apr 17 15:23:49 2023 error -1 reading relation 412550598
  30. Mon Apr 17 15:23:50 2023 error -5 reading relation 412573319
  31. Mon Apr 17 15:23:50 2023 error -15 reading relation 412640108
  32. Mon Apr 17 15:23:51 2023 error -15 reading relation 412765428
  33. Mon Apr 17 15:28:34 2023 skipped 191 relations with b > 2^32
  34. Mon Apr 17 15:28:34 2023 found 105981242 hash collisions in 437991145 relations
  35. Mon Apr 17 15:28:34 2023 commencing duplicate removal, pass 2
  36. Mon Apr 17 15:32:36 2023 found 108505763 duplicates and 329485382 unique relations
  37. Mon Apr 17 15:32:36 2023 memory use: 2387.0 MB
  38. Mon Apr 17 15:32:36 2023 reading ideals above 720000
  39. Mon Apr 17 15:32:37 2023 commencing singleton removal, initial pass
  40. Mon Apr 17 16:46:52 2023 memory use: 11024.0 MB
  41. Mon Apr 17 16:46:53 2023 reading all ideals from disk
  42. Mon Apr 17 16:46:59 2023 memory use: 13894.8 MB
  43. Mon Apr 17 16:48:21 2023 keeping 329886026 ideals with weight <= 200, target excess is 1700595
  44. Mon Apr 17 16:49:43 2023 commencing in-memory singleton removal
  45. Mon Apr 17 16:50:43 2023 begin with 329485382 relations and 329886026 unique ideals
  46. Mon Apr 17 17:01:31 2023 reduce to 180975773 relations and 162895383 ideals in 19 passes
  47. Mon Apr 17 17:01:31 2023 max relations containing the same ideal: 143
  48. Mon Apr 17 17:03:54 2023 removing 16403335 relations and 14403335 ideals in 2000000 cliques
  49. Mon Apr 17 17:03:59 2023 commencing in-memory singleton removal
  50. Mon Apr 17 17:04:25 2023 begin with 164572438 relations and 162895383 unique ideals
  51. Mon Apr 17 17:09:00 2023 reduce to 163249101 relations and 147147632 ideals in 11 passes
  52. Mon Apr 17 17:09:00 2023 max relations containing the same ideal: 135
  53. Mon Apr 17 17:11:04 2023 removing 12293152 relations and 10293152 ideals in 2000000 cliques
  54. Mon Apr 17 17:11:08 2023 commencing in-memory singleton removal
  55. Mon Apr 17 17:11:32 2023 begin with 150955949 relations and 147147632 unique ideals
  56. Mon Apr 17 17:14:56 2023 reduce to 150119342 relations and 136006544 ideals in 9 passes
  57. Mon Apr 17 17:14:56 2023 max relations containing the same ideal: 128
  58. Mon Apr 17 17:16:49 2023 removing 11031461 relations and 9031461 ideals in 2000000 cliques
  59. Mon Apr 17 17:16:52 2023 commencing in-memory singleton removal
  60. Mon Apr 17 17:17:14 2023 begin with 139087881 relations and 136006544 unique ideals
  61. Mon Apr 17 17:20:22 2023 reduce to 138357967 relations and 126235231 ideals in 9 passes
  62. Mon Apr 17 17:20:22 2023 max relations containing the same ideal: 121
  63. Mon Apr 17 17:22:05 2023 removing 10379894 relations and 8379894 ideals in 2000000 cliques
  64. Mon Apr 17 17:22:08 2023 commencing in-memory singleton removal
  65. Mon Apr 17 17:22:28 2023 begin with 127978073 relations and 126235231 unique ideals
  66. Mon Apr 17 17:25:17 2023 reduce to 127281308 relations and 117148611 ideals in 9 passes
  67. Mon Apr 17 17:25:17 2023 max relations containing the same ideal: 117
  68. Mon Apr 17 17:26:55 2023 removing 9986965 relations and 7986965 ideals in 2000000 cliques
  69. Mon Apr 17 17:26:59 2023 commencing in-memory singleton removal
  70. Mon Apr 17 17:27:17 2023 begin with 117294343 relations and 117148611 unique ideals
  71. Mon Apr 17 17:30:29 2023 reduce to 116599950 relations and 108456985 ideals in 11 passes
  72. Mon Apr 17 17:30:29 2023 max relations containing the same ideal: 111
  73. Mon Apr 17 17:31:59 2023 removing 9737213 relations and 7737213 ideals in 2000000 cliques
  74. Mon Apr 17 17:32:02 2023 commencing in-memory singleton removal
  75. Mon Apr 17 17:32:19 2023 begin with 106862737 relations and 108456985 unique ideals
  76. Mon Apr 17 17:34:56 2023 reduce to 106149260 relations and 99995049 ideals in 10 passes
  77. Mon Apr 17 17:34:56 2023 max relations containing the same ideal: 102
  78. Mon Apr 17 17:36:14 2023 removing 9564039 relations and 7564039 ideals in 2000000 cliques
  79. Mon Apr 17 17:36:17 2023 commencing in-memory singleton removal
  80. Mon Apr 17 17:36:31 2023 begin with 96585221 relations and 99995049 unique ideals
  81. Mon Apr 17 17:38:36 2023 reduce to 95835248 relations and 91668204 ideals in 9 passes
  82. Mon Apr 17 17:38:36 2023 max relations containing the same ideal: 96
  83. Mon Apr 17 17:39:46 2023 removing 9465366 relations and 7465366 ideals in 2000000 cliques
  84. Mon Apr 17 17:39:49 2023 commencing in-memory singleton removal
  85. Mon Apr 17 17:40:02 2023 begin with 86369882 relations and 91668204 unique ideals
  86. Mon Apr 17 17:42:05 2023 reduce to 85561386 relations and 83379238 ideals in 10 passes
  87. Mon Apr 17 17:42:05 2023 max relations containing the same ideal: 90
  88. Mon Apr 17 17:43:09 2023 removing 1519294 relations and 1309837 ideals in 209457 cliques
  89. Mon Apr 17 17:43:11 2023 commencing in-memory singleton removal
  90. Mon Apr 17 17:43:23 2023 begin with 84042092 relations and 83379238 unique ideals
  91. Mon Apr 17 17:44:59 2023 reduce to 84022566 relations and 82049819 ideals in 8 passes
  92. Mon Apr 17 17:44:59 2023 max relations containing the same ideal: 90
  93. Mon Apr 17 17:45:21 2023 relations with 0 large ideals: 127459
  94. Mon Apr 17 17:45:21 2023 relations with 1 large ideals: 41665
  95. Mon Apr 17 17:45:21 2023 relations with 2 large ideals: 406657
  96. Mon Apr 17 17:45:21 2023 relations with 3 large ideals: 2490642
  97. Mon Apr 17 17:45:21 2023 relations with 4 large ideals: 8441012
  98. Mon Apr 17 17:45:21 2023 relations with 5 large ideals: 17243369
  99. Mon Apr 17 17:45:21 2023 relations with 6 large ideals: 22148145
  100. Mon Apr 17 17:45:21 2023 relations with 7+ large ideals: 33123617
  101. Mon Apr 17 17:45:21 2023 commencing 2-way merge
  102. Mon Apr 17 17:46:51 2023 reduce to 52053610 relation sets and 50080863 unique ideals
  103. Mon Apr 17 17:46:51 2023 commencing full merge
  104. Mon Apr 17 18:18:27 2023 memory use: 6775.5 MB
  105. Mon Apr 17 18:18:41 2023 found 23707439 cycles, need 23641063
  106. Mon Apr 17 18:18:43 2023 weight of 23641063 cycles is about 2648271380 (112.02/cycle)
  107. Mon Apr 17 18:18:43 2023 distribution of cycle lengths:
  108. Mon Apr 17 18:18:43 2023 1 relations: 2003211
  109. Mon Apr 17 18:18:43 2023 2 relations: 1968568
  110. Mon Apr 17 18:18:43 2023 3 relations: 1902777
  111. Mon Apr 17 18:18:43 2023 4 relations: 1774080
  112. Mon Apr 17 18:18:43 2023 5 relations: 1679905
  113. Mon Apr 17 18:18:43 2023 6 relations: 1581242
  114. Mon Apr 17 18:18:43 2023 7 relations: 1469499
  115. Mon Apr 17 18:18:43 2023 8 relations: 1374763
  116. Mon Apr 17 18:18:43 2023 9 relations: 1269615
  117. Mon Apr 17 18:18:43 2023 10+ relations: 8617403
  118. Mon Apr 17 18:18:43 2023 heaviest cycle: 28 relations
  119. Mon Apr 17 18:19:42 2023 commencing cycle optimization
  120. Mon Apr 17 18:20:34 2023 start with 197193896 relations
  121. Mon Apr 17 18:32:40 2023 pruned 7067320 relations
  122. Mon Apr 17 18:32:40 2023 memory use: 5462.4 MB
  123. Mon Apr 17 18:32:41 2023 distribution of cycle lengths:
  124. Mon Apr 17 18:32:41 2023 1 relations: 2003211
  125. Mon Apr 17 18:32:41 2023 2 relations: 2005860
  126. Mon Apr 17 18:32:41 2023 3 relations: 1967402
  127. Mon Apr 17 18:32:41 2023 4 relations: 1831081
  128. Mon Apr 17 18:32:41 2023 5 relations: 1743935
  129. Mon Apr 17 18:32:41 2023 6 relations: 1631942
  130. Mon Apr 17 18:32:41 2023 7 relations: 1522321
  131. Mon Apr 17 18:32:41 2023 8 relations: 1414887
  132. Mon Apr 17 18:32:41 2023 9 relations: 1306707
  133. Mon Apr 17 18:32:41 2023 10+ relations: 8213717
  134. Mon Apr 17 18:32:41 2023 heaviest cycle: 28 relations
  135. Mon Apr 17 18:34:05 2023 RelProcTime: 15576
  136. Mon Apr 17 18:34:05 2023
  137. Mon Apr 17 18:34:05 2023 commencing linear algebra
  138. Mon Apr 17 18:34:12 2023 read 23641063 cycles
  139. Mon Apr 17 18:35:11 2023 cycles contain 82683672 unique relations
  140. Mon Apr 17 18:50:31 2023 read 82683672 relations
  141. Mon Apr 17 18:53:38 2023 using 20 quadratic characters above 4294917296
  142. Mon Apr 17 19:00:31 2023 building initial matrix
  143. Mon Apr 17 19:19:21 2023 memory use: 10440.6 MB
  144. Mon Apr 17 19:20:06 2023 read 23641063 cycles
  145. Mon Apr 17 19:20:14 2023 matrix is 23640885 x 23641063 (10555.7 MB) with weight 2996284655 (126.74/col)
  146. Mon Apr 17 19:20:14 2023 sparse part has weight 2507065480 (106.05/col)
  147. Mon Apr 17 19:28:47 2023 filtering completed in 2 passes
  148. Mon Apr 17 19:28:55 2023 matrix is 23639276 x 23639454 (10555.6 MB) with weight 2996232563 (126.75/col)
  149. Mon Apr 17 19:28:55 2023 sparse part has weight 2507048524 (106.05/col)
  150. Mon Apr 17 19:31:08 2023 matrix starts at (0, 0)
  151. Mon Apr 17 19:31:16 2023 matrix is 23639276 x 23639454 (10555.6 MB) with weight 2996232563 (126.75/col)
  152. Mon Apr 17 19:31:16 2023 sparse part has weight 2507048524 (106.05/col)
  153. Mon Apr 17 19:31:16 2023 saving the first 48 matrix rows for later
  154. Mon Apr 17 19:31:24 2023 matrix includes 64 packed rows
  155. Mon Apr 17 19:31:28 2023 matrix is 23639228 x 23639454 (10132.1 MB) with weight 2579566685 (109.12/col)
  156. Mon Apr 17 19:31:28 2023 sparse part has weight 2419662799 (102.36/col)
  157. Mon Apr 17 19:31:28 2023 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  158. Mon Apr 17 19:34:28 2023 commencing Lanczos iteration (24 threads)
  159. Mon Apr 17 19:34:28 2023 memory use: 8793.0 MB
  160. Mon Apr 17 19:35:16 2023 linear algebra at 0.0%, ETA 194h38m
  161. Mon Apr 17 19:35:31 2023 checkpointing every 130000 dimensions
  162. Tue Apr 18 21:20:46 2023 lanczos halted after 48403 iterations (dim = 3060992)
  163. Tue Apr 18 21:21:16 2023 BLanczosTime: 96431
  164. Tue Apr 18 21:21:16 2023
  165. Tue Apr 18 21:21:16 2023 commencing square root phase
  166. Tue Apr 18 21:21:16 2023 handling dependencies 1 to 64
  167. Tue Apr 18 21:21:16 2023 reading relations for dependency 1
  168. Tue Apr 18 21:21:16 2023 error: read_cycles can't open dependency file
  169. Tue Apr 18 21:22:05 2023
  170. Tue Apr 18 21:22:05 2023
  171. Tue Apr 18 21:22:05 2023 Msieve v. 1.52 (SVN unknown)
  172. Tue Apr 18 21:22:05 2023 random seeds: 48cae6a0 d85ff7d3
  173. Tue Apr 18 21:22:05 2023 factoring 297949694312804847294899991487559232411747401217813741210720525676428297235818327693655426836180763595076636567887469575269257974833681407408659146308606745947540624942634949325546295402504818261850338822193235820277 (216 digits)
  174. Tue Apr 18 21:22:06 2023 no P-1/P+1/ECM available, skipping
  175. Tue Apr 18 21:22:06 2023 commencing number field sieve (216-digit input)
  176. Tue Apr 18 21:22:06 2023 R0: 616873509628062366310139402483069746689975130
  177. Tue Apr 18 21:22:06 2023 R1: -23861715484377209601555171628930521
  178. Tue Apr 18 21:22:06 2023 A0: -9261
  179. Tue Apr 18 21:22:06 2023 A1: 18522
  180. Tue Apr 18 21:22:06 2023 A2: -7938
  181. Tue Apr 18 21:22:06 2023 A3: 882
  182. Tue Apr 18 21:22:06 2023 A4: 84
  183. Tue Apr 18 21:22:06 2023 A5: -21
  184. Tue Apr 18 21:22:06 2023 A6: 1
  185. Tue Apr 18 21:22:06 2023 skew 4.58, size 2.341e-013, alpha 1.443, combined = 3.642e-014 rroots = 6
  186. Tue Apr 18 21:22:06 2023
  187. Tue Apr 18 21:22:06 2023 commencing linear algebra
  188. Tue Apr 18 21:22:19 2023 matrix starts at (0, 0)
  189. Tue Apr 18 21:22:26 2023 matrix is 23639276 x 23639454 (10555.6 MB) with weight 2996232563 (126.75/col)
  190. Tue Apr 18 21:22:26 2023 sparse part has weight 2507048524 (106.05/col)
  191. Tue Apr 18 21:22:26 2023 saving the first 48 matrix rows for later
  192. Tue Apr 18 21:22:34 2023 matrix includes 64 packed rows
  193. Tue Apr 18 21:22:39 2023 matrix is 23639228 x 23639454 (10132.1 MB) with weight 2579566685 (109.12/col)
  194. Tue Apr 18 21:22:39 2023 sparse part has weight 2419662799 (102.36/col)
  195. Tue Apr 18 21:22:39 2023 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  196. Tue Apr 18 21:25:18 2023 commencing Lanczos iteration (24 threads)
  197. Tue Apr 18 21:25:18 2023 memory use: 8793.0 MB
  198. Tue Apr 18 21:25:19 2023 restarting at iteration 48403 (dim = 3060992)
  199. Tue Apr 18 21:25:49 2023 checkpointing every 130000 dimensions
  200. Tue Apr 18 21:26:04 2023 linear algebra at 13.0%, ETA 169h 6m
  201. Wed Apr 26 00:29:06 2023 lanczos halted after 373826 iterations (dim = 23639222)
  202. Wed Apr 26 00:29:26 2023 recovered 30 nontrivial dependencies
  203. Wed Apr 26 00:29:44 2023 BLanczosTime: 616058
  204. Wed Apr 26 00:29:44 2023
  205. Wed Apr 26 00:29:44 2023 commencing square root phase
  206. Wed Apr 26 00:29:45 2023 reading relations for dependency 1
  207. Wed Apr 26 00:29:50 2023 read 11817397 cycles
  208. Wed Apr 26 00:30:17 2023 cycles contain 41335878 unique relations
  209. Wed Apr 26 00:37:36 2023 read 41335878 relations
  210. Wed Apr 26 00:41:43 2023 multiplying 41335878 relations
  211. Wed Apr 26 01:24:54 2023 multiply complete, coefficients have about 1137.01 million bits
  212. Wed Apr 26 01:25:08 2023 initial square root is modulo 126011
  213. Wed Apr 26 02:15:25 2023 GCD is N, no factor found
  214. Wed Apr 26 02:15:25 2023 reading relations for dependency 2
  215. Wed Apr 26 02:15:30 2023 read 11821794 cycles
  216. Wed Apr 26 02:15:57 2023 cycles contain 41349316 unique relations
  217. Wed Apr 26 02:23:14 2023 read 41349316 relations
  218. Wed Apr 26 02:27:20 2023 multiplying 41349316 relations
  219. Wed Apr 26 03:10:30 2023 multiply complete, coefficients have about 1137.40 million bits
  220. Wed Apr 26 03:10:44 2023 initial square root is modulo 126493
  221. Wed Apr 26 04:00:12 2023 GCD is N, no factor found
  222. Wed Apr 26 04:00:12 2023 reading relations for dependency 3
  223. Wed Apr 26 04:00:18 2023 read 11816901 cycles
  224. Wed Apr 26 04:00:46 2023 cycles contain 41344448 unique relations
  225. Wed Apr 26 04:08:07 2023 read 41344448 relations
  226. Wed Apr 26 04:12:14 2023 multiplying 41344448 relations
  227. Wed Apr 26 04:55:26 2023 multiply complete, coefficients have about 1137.25 million bits
  228. Wed Apr 26 04:55:41 2023 initial square root is modulo 126317
  229. Wed Apr 26 05:45:13 2023 GCD is 1, no factor found
  230. Wed Apr 26 05:45:13 2023 reading relations for dependency 4
  231. Wed Apr 26 05:45:18 2023 read 11815678 cycles
  232. Wed Apr 26 05:45:45 2023 cycles contain 41327854 unique relations
  233. Wed Apr 26 05:53:04 2023 read 41327854 relations
  234. Wed Apr 26 05:57:10 2023 multiplying 41327854 relations
  235. Wed Apr 26 06:40:24 2023 multiply complete, coefficients have about 1136.80 million bits
  236. Wed Apr 26 06:40:39 2023 initial square root is modulo 125717
  237. Wed Apr 26 07:30:57 2023 sqrtTime: 25273
  238. Wed Apr 26 07:30:57 2023 prp90 factor: 379894698132460816439735421539129944023478982670402406747030586492413396988093208564229567
  239. Wed Apr 26 07:30:57 2023 prp126 factor: 784295479188068130899934187165097208392904269395286439610916803242911577542114784890484932692885647749137581600702060778541131
  240. Wed Apr 26 07:30:57 2023 elapsed time 178:08:52
  241.  
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