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5*2^815-1 log

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Nov 15th, 2023
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  1. Sat Nov 11 10:03:38 2023 Msieve v. 1.54 (SVN 1028)
  2. Sat Nov 11 10:03:38 2023 random seeds: 48541782 e9eed9a3
  3. Sat Nov 11 10:03:38 2023 factoring 19004086079571103289016947164994145529579909972339661488677270615537971672761241345716599630184729702420497765694986758110909541619053487633348839414365338682737778591947431522212080955117 (188 digits)
  4. Sat Nov 11 10:03:39 2023 no P-1/P+1/ECM available, skipping
  5. Sat Nov 11 10:03:39 2023 commencing number field sieve (188-digit input)
  6. Sat Nov 11 10:03:39 2023 R0: 87112285931760246646623899502532662132736
  7. Sat Nov 11 10:03:39 2023 R1: -1
  8. Sat Nov 11 10:03:39 2023 A0: -2
  9. Sat Nov 11 10:03:39 2023 A1: 0
  10. Sat Nov 11 10:03:39 2023 A2: 0
  11. Sat Nov 11 10:03:39 2023 A3: 0
  12. Sat Nov 11 10:03:39 2023 A4: 0
  13. Sat Nov 11 10:03:39 2023 A5: 0
  14. Sat Nov 11 10:03:39 2023 A6: 5
  15. Sat Nov 11 10:03:39 2023 skew 1.10, size 2.777e-12, alpha 2.819, combined = 2.514e-13 rroots = 2
  16. Sat Nov 11 10:03:39 2023
  17. Sat Nov 11 10:03:39 2023 commencing relation filtering
  18. Sat Nov 11 10:03:39 2023 setting target matrix density to 108.0
  19. Sat Nov 11 10:03:39 2023 estimated available RAM is 128836.4 MB
  20. Sat Nov 11 10:03:39 2023 commencing duplicate removal, pass 1
  21. Sat Nov 11 10:33:09 2023 skipped 128 relations with b > 2^32
  22. Sat Nov 11 10:33:09 2023 skipped 2 relations with composite factors
  23. Sat Nov 11 10:33:09 2023 found 8868807 hash collisions in 201157505 relations
  24. Sat Nov 11 10:33:26 2023 added 1218409 free relations
  25. Sat Nov 11 10:33:26 2023 commencing duplicate removal, pass 2
  26. Sat Nov 11 10:34:31 2023 found 0 duplicates and 202375914 unique relations
  27. Sat Nov 11 10:34:31 2023 memory use: 522.4 MB
  28. Sat Nov 11 10:34:31 2023 reading ideals above 720000
  29. Sat Nov 11 10:34:31 2023 commencing singleton removal, initial pass
  30. Sat Nov 11 11:05:18 2023 memory use: 5512.0 MB
  31. Sat Nov 11 11:05:18 2023 reading all ideals from disk
  32. Sat Nov 11 11:05:23 2023 memory use: 8066.3 MB
  33. Sat Nov 11 11:05:53 2023 keeping 209762148 ideals with weight <= 200, target excess is 1189991
  34. Sat Nov 11 11:06:26 2023 commencing in-memory singleton removal
  35. Sat Nov 11 11:06:49 2023 begin with 202375914 relations and 209762148 unique ideals
  36. Sat Nov 11 11:10:35 2023 reduce to 90887421 relations and 82661672 ideals in 18 passes
  37. Sat Nov 11 11:10:35 2023 max relations containing the same ideal: 122
  38. Sat Nov 11 11:11:30 2023 removing 8544397 relations and 7544397 ideals in 1000000 cliques
  39. Sat Nov 11 11:11:34 2023 commencing in-memory singleton removal
  40. Sat Nov 11 11:11:42 2023 begin with 82343024 relations and 82661672 unique ideals
  41. Sat Nov 11 11:13:21 2023 reduce to 81699327 relations and 74463915 ideals in 11 passes
  42. Sat Nov 11 11:13:21 2023 max relations containing the same ideal: 115
  43. Sat Nov 11 11:14:09 2023 removing 6362658 relations and 5362658 ideals in 1000000 cliques
  44. Sat Nov 11 11:14:11 2023 commencing in-memory singleton removal
  45. Sat Nov 11 11:14:19 2023 begin with 75336669 relations and 74463915 unique ideals
  46. Sat Nov 11 11:15:32 2023 reduce to 74920913 relations and 68680109 ideals in 9 passes
  47. Sat Nov 11 11:15:32 2023 max relations containing the same ideal: 109
  48. Sat Nov 11 11:16:17 2023 removing 5698380 relations and 4698380 ideals in 1000000 cliques
  49. Sat Nov 11 11:16:19 2023 commencing in-memory singleton removal
  50. Sat Nov 11 11:16:26 2023 begin with 69222533 relations and 68680109 unique ideals
  51. Sat Nov 11 11:17:35 2023 reduce to 68853435 relations and 63607720 ideals in 9 passes
  52. Sat Nov 11 11:17:35 2023 max relations containing the same ideal: 104
  53. Sat Nov 11 11:18:16 2023 removing 5364594 relations and 4364594 ideals in 1000000 cliques
  54. Sat Nov 11 11:18:18 2023 commencing in-memory singleton removal
  55. Sat Nov 11 11:18:24 2023 begin with 63488841 relations and 63607720 unique ideals
  56. Sat Nov 11 11:19:26 2023 reduce to 63125878 relations and 58875304 ideals in 9 passes
  57. Sat Nov 11 11:19:26 2023 max relations containing the same ideal: 96
  58. Sat Nov 11 11:20:04 2023 removing 5174883 relations and 4174883 ideals in 1000000 cliques
  59. Sat Nov 11 11:20:06 2023 commencing in-memory singleton removal
  60. Sat Nov 11 11:20:12 2023 begin with 57950995 relations and 58875304 unique ideals
  61. Sat Nov 11 11:21:01 2023 reduce to 57580737 relations and 54324785 ideals in 8 passes
  62. Sat Nov 11 11:21:01 2023 max relations containing the same ideal: 90
  63. Sat Nov 11 11:21:35 2023 removing 5068805 relations and 4068805 ideals in 1000000 cliques
  64. Sat Nov 11 11:21:37 2023 commencing in-memory singleton removal
  65. Sat Nov 11 11:21:42 2023 begin with 52511932 relations and 54324785 unique ideals
  66. Sat Nov 11 11:22:32 2023 reduce to 52118729 relations and 49856589 ideals in 9 passes
  67. Sat Nov 11 11:22:32 2023 max relations containing the same ideal: 84
  68. Sat Nov 11 11:23:03 2023 removing 4547987 relations and 3666237 ideals in 881750 cliques
  69. Sat Nov 11 11:23:05 2023 commencing in-memory singleton removal
  70. Sat Nov 11 11:23:09 2023 begin with 47570742 relations and 49856589 unique ideals
  71. Sat Nov 11 11:23:54 2023 reduce to 47217982 relations and 45832340 ideals in 9 passes
  72. Sat Nov 11 11:23:54 2023 max relations containing the same ideal: 79
  73. Sat Nov 11 11:24:29 2023 relations with 0 large ideals: 42363
  74. Sat Nov 11 11:24:29 2023 relations with 1 large ideals: 46737
  75. Sat Nov 11 11:24:29 2023 relations with 2 large ideals: 425974
  76. Sat Nov 11 11:24:29 2023 relations with 3 large ideals: 2148348
  77. Sat Nov 11 11:24:29 2023 relations with 4 large ideals: 6304735
  78. Sat Nov 11 11:24:29 2023 relations with 5 large ideals: 11273771
  79. Sat Nov 11 11:24:29 2023 relations with 6 large ideals: 12606070
  80. Sat Nov 11 11:24:29 2023 relations with 7+ large ideals: 14369984
  81. Sat Nov 11 11:24:29 2023 commencing 2-way merge
  82. Sat Nov 11 11:25:06 2023 reduce to 28134391 relation sets and 26748749 unique ideals
  83. Sat Nov 11 11:25:06 2023 commencing full merge
  84. Sat Nov 11 11:36:39 2023 memory use: 3113.8 MB
  85. Sat Nov 11 11:36:42 2023 found 12520103 cycles, need 12424949
  86. Sat Nov 11 11:36:48 2023 weight of 12424949 cycles is about 1341994696 (108.01/cycle)
  87. Sat Nov 11 11:36:48 2023 distribution of cycle lengths:
  88. Sat Nov 11 11:36:48 2023 1 relations: 1111881
  89. Sat Nov 11 11:36:48 2023 2 relations: 980833
  90. Sat Nov 11 11:36:48 2023 3 relations: 982338
  91. Sat Nov 11 11:36:48 2023 4 relations: 957034
  92. Sat Nov 11 11:36:48 2023 5 relations: 925065
  93. Sat Nov 11 11:36:48 2023 6 relations: 863539
  94. Sat Nov 11 11:36:48 2023 7 relations: 819765
  95. Sat Nov 11 11:36:48 2023 8 relations: 760491
  96. Sat Nov 11 11:36:48 2023 9 relations: 693221
  97. Sat Nov 11 11:36:48 2023 10+ relations: 4330782
  98. Sat Nov 11 11:36:48 2023 heaviest cycle: 28 relations
  99. Sat Nov 11 11:36:53 2023 commencing cycle optimization
  100. Sat Nov 11 11:37:20 2023 start with 100135609 relations
  101. Sat Nov 11 11:41:23 2023 pruned 3263433 relations
  102. Sat Nov 11 11:41:23 2023 memory use: 2928.1 MB
  103. Sat Nov 11 11:41:23 2023 distribution of cycle lengths:
  104. Sat Nov 11 11:41:23 2023 1 relations: 1111881
  105. Sat Nov 11 11:41:23 2023 2 relations: 1003133
  106. Sat Nov 11 11:41:23 2023 3 relations: 1017607
  107. Sat Nov 11 11:41:23 2023 4 relations: 986978
  108. Sat Nov 11 11:41:23 2023 5 relations: 957852
  109. Sat Nov 11 11:41:23 2023 6 relations: 890791
  110. Sat Nov 11 11:41:23 2023 7 relations: 844369
  111. Sat Nov 11 11:41:23 2023 8 relations: 778352
  112. Sat Nov 11 11:41:23 2023 9 relations: 710002
  113. Sat Nov 11 11:41:23 2023 10+ relations: 4123984
  114. Sat Nov 11 11:41:23 2023 heaviest cycle: 28 relations
  115. Sat Nov 11 11:41:56 2023 RelProcTime: 5897
  116. Sat Nov 11 11:41:57 2023 elapsed time 01:38:19
  117. Sat Nov 11 13:37:47 2023
  118. Sat Nov 11 13:37:47 2023
  119. Sat Nov 11 13:37:47 2023 Msieve v. 1.54 (SVN 1028)
  120. Sat Nov 11 13:37:47 2023 random seeds: b1433910 2183967f
  121. Sat Nov 11 13:37:47 2023 factoring 19004086079571103289016947164994145529579909972339661488677270615537971672761241345716599630184729702420497765694986758110909541619053487633348839414365338682737778591947431522212080955117 (188 digits)
  122. Sat Nov 11 13:37:48 2023 no P-1/P+1/ECM available, skipping
  123. Sat Nov 11 13:37:48 2023 commencing number field sieve (188-digit input)
  124. Sat Nov 11 13:37:48 2023 R0: 87112285931760246646623899502532662132736
  125. Sat Nov 11 13:37:48 2023 R1: -1
  126. Sat Nov 11 13:37:48 2023 A0: -2
  127. Sat Nov 11 13:37:48 2023 A1: 0
  128. Sat Nov 11 13:37:48 2023 A2: 0
  129. Sat Nov 11 13:37:48 2023 A3: 0
  130. Sat Nov 11 13:37:48 2023 A4: 0
  131. Sat Nov 11 13:37:48 2023 A5: 0
  132. Sat Nov 11 13:37:48 2023 A6: 5
  133. Sat Nov 11 13:37:48 2023 skew 1.10, size 2.777e-12, alpha 2.819, combined = 2.514e-13 rroots = 2
  134. Sat Nov 11 13:37:48 2023
  135. Sat Nov 11 13:37:48 2023 commencing linear algebra
  136. Sat Nov 11 13:37:49 2023 read 12424949 cycles
  137. Sat Nov 11 13:38:20 2023 cycles contain 46049646 unique relations
  138. Sat Nov 11 13:42:54 2023 read 46049646 relations
  139. Sat Nov 11 13:44:37 2023 using 20 quadratic characters above 4294917295
  140. Sat Nov 11 13:48:14 2023 building initial matrix
  141. Sat Nov 11 13:57:48 2023 memory use: 5715.9 MB
  142. Sat Nov 11 13:57:55 2023 read 12424949 cycles
  143. Sat Nov 11 13:57:57 2023 matrix is 12424769 x 12424949 (5323.7 MB) with weight 1521239070 (122.43/col)
  144. Sat Nov 11 13:57:57 2023 sparse part has weight 1271329555 (102.32/col)
  145. Sat Nov 11 14:02:22 2023 filtering completed in 2 passes
  146. Sat Nov 11 14:02:24 2023 matrix is 12420604 x 12420782 (5323.3 MB) with weight 1521093881 (122.46/col)
  147. Sat Nov 11 14:02:24 2023 sparse part has weight 1271270006 (102.35/col)
  148. Sat Nov 11 14:03:14 2023 matrix starts at (0, 0)
  149. Sat Nov 11 14:03:16 2023 matrix is 12420604 x 12420782 (5323.3 MB) with weight 1521093881 (122.46/col)
  150. Sat Nov 11 14:03:16 2023 sparse part has weight 1271270006 (102.35/col)
  151. Sat Nov 11 14:03:16 2023 saving the first 112 matrix rows for later
  152. Sat Nov 11 14:03:19 2023 matrix includes 128 packed rows
  153. Sat Nov 11 14:03:22 2023 matrix is 12420492 x 12420782 (5006.9 MB) with weight 1220398303 (98.25/col)
  154. Sat Nov 11 14:03:23 2023 sparse part has weight 1163470174 (93.67/col)
  155. Sat Nov 11 14:03:23 2023 using block size 8192 and superblock size 1228800 for processor cache size 25600 kB
  156. Sat Nov 11 14:04:14 2023 commencing Lanczos iteration (10 threads)
  157. Sat Nov 11 14:04:14 2023 memory use: 5616.5 MB
  158. Sat Nov 11 14:05:01 2023 linear algebra at 0.0%, ETA 97h24m
  159. Sat Nov 11 14:05:15 2023 checkpointing every 130000 dimensions
  160. Sun Nov 12 18:14:20 2023 lanczos halted after 35155 iterations (dim = 4472934)
  161. Sun Nov 12 18:14:21 2023 BLanczosTime: 102993
  162. Sun Nov 12 18:14:21 2023
  163. Sun Nov 12 18:14:21 2023 commencing square root phase
  164. Sun Nov 12 18:14:21 2023 reading relations for dependency 1
  165. Sun Nov 12 18:14:21 2023 error: read_cycles can't open dependency file
  166. Sun Nov 12 21:37:10 2023
  167. Sun Nov 12 21:37:10 2023
  168. Sun Nov 12 21:37:10 2023 Msieve v. 1.54 (SVN 1028)
  169. Sun Nov 12 21:37:10 2023 random seeds: 02d0411d f57c62b1
  170. Sun Nov 12 21:37:10 2023 factoring 19004086079571103289016947164994145529579909972339661488677270615537971672761241345716599630184729702420497765694986758110909541619053487633348839414365338682737778591947431522212080955117 (188 digits)
  171. Sun Nov 12 21:37:11 2023 no P-1/P+1/ECM available, skipping
  172. Sun Nov 12 21:37:11 2023 commencing number field sieve (188-digit input)
  173. Sun Nov 12 21:37:11 2023 R0: 87112285931760246646623899502532662132736
  174. Sun Nov 12 21:37:11 2023 R1: -1
  175. Sun Nov 12 21:37:11 2023 A0: -2
  176. Sun Nov 12 21:37:11 2023 A1: 0
  177. Sun Nov 12 21:37:11 2023 A2: 0
  178. Sun Nov 12 21:37:11 2023 A3: 0
  179. Sun Nov 12 21:37:11 2023 A4: 0
  180. Sun Nov 12 21:37:11 2023 A5: 0
  181. Sun Nov 12 21:37:11 2023 A6: 5
  182. Sun Nov 12 21:37:11 2023 skew 1.10, size 2.777e-12, alpha 2.819, combined = 2.514e-13 rroots = 2
  183. Sun Nov 12 21:37:11 2023
  184. Sun Nov 12 21:37:11 2023 commencing linear algebra
  185. Sun Nov 12 21:37:16 2023 matrix starts at (0, 0)
  186. Sun Nov 12 21:37:18 2023 matrix is 12420604 x 12420782 (5323.3 MB) with weight 1521093881 (122.46/col)
  187. Sun Nov 12 21:37:18 2023 sparse part has weight 1271270006 (102.35/col)
  188. Sun Nov 12 21:37:18 2023 saving the first 112 matrix rows for later
  189. Sun Nov 12 21:37:21 2023 matrix includes 128 packed rows
  190. Sun Nov 12 21:37:24 2023 matrix is 12420492 x 12420782 (5006.9 MB) with weight 1220398303 (98.25/col)
  191. Sun Nov 12 21:37:24 2023 sparse part has weight 1163470174 (93.67/col)
  192. Sun Nov 12 21:37:24 2023 using block size 8192 and superblock size 1228800 for processor cache size 25600 kB
  193. Sun Nov 12 21:38:15 2023 commencing Lanczos iteration (10 threads)
  194. Sun Nov 12 21:38:15 2023 memory use: 5616.5 MB
  195. Sun Nov 12 21:38:16 2023 restarting at iteration 35155 (dim = 4472934)
  196. Sun Nov 12 21:38:44 2023 checkpointing every 150000 dimensions
  197. Sun Nov 12 21:38:53 2023 linear algebra at 36.0%, ETA 53h22m
  198. Tue Nov 14 22:29:13 2023 lanczos halted after 97619 iterations (dim = 12420484)
  199. Tue Nov 14 22:30:12 2023 recovered 34 nontrivial dependencies
  200. Tue Nov 14 22:30:13 2023 BLanczosTime: 175982
  201. Tue Nov 14 22:30:13 2023
  202. Tue Nov 14 22:30:13 2023 commencing square root phase
  203. Tue Nov 14 22:30:13 2023 reading relations for dependency 1
  204. Tue Nov 14 22:30:15 2023 read 6212470 cycles
  205. Tue Nov 14 22:30:30 2023 cycles contain 23029058 unique relations
  206. Tue Nov 14 22:33:01 2023 read 23029058 relations
  207. Tue Nov 14 22:35:00 2023 multiplying 23029058 relations
  208. Tue Nov 14 22:55:14 2023 multiply complete, coefficients have about 631.31 million bits
  209. Tue Nov 14 22:55:17 2023 initial square root is modulo 461101
  210. Tue Nov 14 23:29:53 2023 sqrtTime: 3580
  211. Tue Nov 14 23:29:53 2023 p76 factor: 8211377408556969944161842690840228508592732907802586570789217941234536217521
  212. Tue Nov 14 23:29:53 2023 p112 factor: 2314360323977703370055683300937275076442483696623974296655609709178492024885079042900005030235854340166837486077
  213. Tue Nov 14 23:29:53 2023 elapsed time 49:52:43
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