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Jan 1st, 2024
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  1. Sun Dec 31 23:42:52 2023
  2. Sun Dec 31 23:42:52 2023
  3. Sun Dec 31 23:42:52 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Dec 31 23:42:52 2023 random seeds: 34f9b40c c6258118
  5. Sun Dec 31 23:42:52 2023 Using 64 OpenMP threads
  6. Sun Dec 31 23:42:52 2023 factoring 77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777747 (257 digits)
  7. Sun Dec 31 23:42:53 2023 searching for 15-digit factors
  8. Sun Dec 31 23:42:53 2023 commencing number field sieve (257-digit input)
  9. Sun Dec 31 23:42:53 2023 R0: -10000000000000000000000000000000000000000000
  10. Sun Dec 31 23:42:53 2023 R1: 1
  11. Sun Dec 31 23:42:53 2023 A0: -2770
  12. Sun Dec 31 23:42:53 2023 A1: 0
  13. Sun Dec 31 23:42:53 2023 A2: 0
  14. Sun Dec 31 23:42:53 2023 A3: 0
  15. Sun Dec 31 23:42:53 2023 A4: 0
  16. Sun Dec 31 23:42:53 2023 A5: 0
  17. Sun Dec 31 23:42:53 2023 A6: 7
  18. Sun Dec 31 23:42:53 2023 skew 1.00, size 4.987e-13, alpha 0.875, combined = 6.540e-14 rroots = 2
  19. Sun Dec 31 23:42:53 2023
  20. Sun Dec 31 23:42:53 2023 commencing relation filtering
  21. Sun Dec 31 23:42:53 2023 setting target matrix density to 120.0
  22. Sun Dec 31 23:42:53 2023 estimated available RAM is 257736.5 MB
  23. Sun Dec 31 23:42:53 2023 commencing duplicate removal, pass 1
  24. Sun Dec 31 23:43:25 2023 error -15 reading relation 23472731
  25. Sun Dec 31 23:43:41 2023 error -1 reading relation 35388473
  26. Sun Dec 31 23:44:33 2023 error -1 reading relation 73856377
  27. Sun Dec 31 23:44:36 2023 error -1 reading relation 76520298
  28. Sun Dec 31 23:44:38 2023 error -1 reading relation 77987216
  29. Sun Dec 31 23:44:42 2023 error -1 reading relation 81186358
  30. Sun Dec 31 23:44:51 2023 error -1 reading relation 88050529
  31. Sun Dec 31 23:45:13 2023 error -1 reading relation 105145294
  32. Sun Dec 31 23:45:17 2023 error -1 reading relation 107783327
  33. Sun Dec 31 23:45:26 2023 error -1 reading relation 115075480
  34. Sun Dec 31 23:45:32 2023 error -1 reading relation 119293593
  35. Sun Dec 31 23:45:38 2023 error -1 reading relation 123706191
  36. Sun Dec 31 23:45:40 2023 error -1 reading relation 125662947
  37. Sun Dec 31 23:45:42 2023 error -1 reading relation 127126588
  38. Sun Dec 31 23:45:43 2023 error -1 reading relation 127473494
  39. Sun Dec 31 23:45:43 2023 error -1 reading relation 128119276
  40. Sun Dec 31 23:45:44 2023 error -1 reading relation 128273527
  41. Sun Dec 31 23:45:46 2023 error -1 reading relation 130063544
  42. Sun Dec 31 23:45:51 2023 error -1 reading relation 134402389
  43. Sun Dec 31 23:45:52 2023 error -1 reading relation 134490104
  44. Sun Dec 31 23:45:52 2023 error -1 reading relation 134785347
  45. Sun Dec 31 23:45:52 2023 error -1 reading relation 134869732
  46. Sun Dec 31 23:45:53 2023 error -1 reading relation 135275363
  47. Sun Dec 31 23:46:10 2023 error -1 reading relation 148162630
  48. Sun Dec 31 23:46:11 2023 error -1 reading relation 148854372
  49. Sun Dec 31 23:46:16 2023 error -15 reading relation 153209476
  50. Sun Dec 31 23:46:17 2023 error -1 reading relation 154138767
  51. Sun Dec 31 23:46:23 2023 error -1 reading relation 158468579
  52. Sun Dec 31 23:46:27 2023 error -1 reading relation 161376343
  53. Sun Dec 31 23:46:30 2023 error -1 reading relation 164033192
  54. Sun Dec 31 23:46:35 2023 error -1 reading relation 167242552
  55. Sun Dec 31 23:46:47 2023 error -1 reading relation 176867874
  56. Sun Dec 31 23:46:55 2023 error -1 reading relation 183155763
  57. Sun Dec 31 23:46:59 2023 error -1 reading relation 186132553
  58. Sun Dec 31 23:47:02 2023 error -1 reading relation 188085443
  59. Sun Dec 31 23:47:13 2023 error -1 reading relation 196458316
  60. Sun Dec 31 23:47:13 2023 error -15 reading relation 196470696
  61. Sun Dec 31 23:47:13 2023 error -1 reading relation 196484567
  62. Sun Dec 31 23:47:13 2023 error -15 reading relation 196499294
  63. Sun Dec 31 23:47:13 2023 error -15 reading relation 196509303
  64. Sun Dec 31 23:47:13 2023 error -1 reading relation 196511833
  65. Sun Dec 31 23:47:13 2023 error -15 reading relation 196514718
  66. Sun Dec 31 23:47:13 2023 error -15 reading relation 196530155
  67. Sun Dec 31 23:47:13 2023 error -15 reading relation 196536279
  68. Sun Dec 31 23:47:16 2023 error -1 reading relation 198399873
  69. Sun Dec 31 23:47:21 2023 error -1 reading relation 202522734
  70. Sun Dec 31 23:47:22 2023 error -1 reading relation 202976157
  71. Sun Dec 31 23:47:24 2023 error -1 reading relation 204354148
  72. Sun Dec 31 23:47:39 2023 error -1 reading relation 216167859
  73. Sun Dec 31 23:48:04 2023 error -1 reading relation 234512840
  74. Sun Dec 31 23:48:15 2023 error -5 reading relation 242949393
  75. Sun Dec 31 23:48:18 2023 skipped 153 relations with b > 2^32
  76. Sun Dec 31 23:48:18 2023 skipped 4 relations with composite factors
  77. Sun Dec 31 23:48:18 2023 skipped 525 malformed relations
  78. Sun Dec 31 23:48:18 2023 found 54208802 hash collisions in 246367154 relations
  79. Sun Dec 31 23:48:27 2023 commencing duplicate removal, pass 2
  80. Sun Dec 31 23:52:55 2023 found 57541776 duplicates and 188825378 unique relations
  81. Sun Dec 31 23:52:55 2023 memory use: 1449.5 MB
  82. Sun Dec 31 23:52:55 2023 reading ideals above 720000
  83. Sun Dec 31 23:52:55 2023 commencing singleton removal, initial pass
  84. Mon Jan 1 00:02:28 2024 memory use: 5512.0 MB
  85. Mon Jan 1 00:02:28 2024 reading all ideals from disk
  86. Mon Jan 1 00:02:31 2024 memory use: 9297.2 MB
  87. Mon Jan 1 00:02:54 2024 keeping 179215786 ideals with weight <= 200, target excess is 1003797
  88. Mon Jan 1 00:03:21 2024 commencing in-memory singleton removal
  89. Mon Jan 1 00:03:23 2024 begin with 188825378 relations and 179215786 unique ideals
  90. Mon Jan 1 00:03:34 2024 reduce to 122412889 relations and 106114722 ideals in 17 passes
  91. Mon Jan 1 00:03:34 2024 max relations containing the same ideal: 161
  92. Mon Jan 1 00:04:18 2024 removing 11900517 relations and 9900517 ideals in 2000000 cliques
  93. Mon Jan 1 00:04:24 2024 commencing in-memory singleton removal
  94. Mon Jan 1 00:04:26 2024 begin with 110512372 relations and 106114722 unique ideals
  95. Mon Jan 1 00:04:30 2024 reduce to 109537889 relations and 95218642 ideals in 9 passes
  96. Mon Jan 1 00:04:30 2024 max relations containing the same ideal: 149
  97. Mon Jan 1 00:05:08 2024 removing 9142979 relations and 7142979 ideals in 2000000 cliques
  98. Mon Jan 1 00:05:12 2024 commencing in-memory singleton removal
  99. Mon Jan 1 00:05:13 2024 begin with 100394910 relations and 95218642 unique ideals
  100. Mon Jan 1 00:05:16 2024 reduce to 99746926 relations and 87415392 ideals in 8 passes
  101. Mon Jan 1 00:05:16 2024 max relations containing the same ideal: 140
  102. Mon Jan 1 00:05:52 2024 removing 8312523 relations and 6312523 ideals in 2000000 cliques
  103. Mon Jan 1 00:05:56 2024 commencing in-memory singleton removal
  104. Mon Jan 1 00:05:57 2024 begin with 91434403 relations and 87415392 unique ideals
  105. Mon Jan 1 00:06:01 2024 reduce to 90854283 relations and 80511574 ideals in 10 passes
  106. Mon Jan 1 00:06:01 2024 max relations containing the same ideal: 135
  107. Mon Jan 1 00:06:32 2024 removing 7905029 relations and 5905029 ideals in 2000000 cliques
  108. Mon Jan 1 00:06:36 2024 commencing in-memory singleton removal
  109. Mon Jan 1 00:06:37 2024 begin with 82949254 relations and 80511574 unique ideals
  110. Mon Jan 1 00:06:40 2024 reduce to 82387610 relations and 74033429 ideals in 8 passes
  111. Mon Jan 1 00:06:40 2024 max relations containing the same ideal: 125
  112. Mon Jan 1 00:07:09 2024 removing 7661293 relations and 5661293 ideals in 2000000 cliques
  113. Mon Jan 1 00:07:12 2024 commencing in-memory singleton removal
  114. Mon Jan 1 00:07:13 2024 begin with 74726317 relations and 74033429 unique ideals
  115. Mon Jan 1 00:07:15 2024 reduce to 74160209 relations and 67793704 ideals in 8 passes
  116. Mon Jan 1 00:07:15 2024 max relations containing the same ideal: 116
  117. Mon Jan 1 00:07:41 2024 removing 7505947 relations and 5505947 ideals in 2000000 cliques
  118. Mon Jan 1 00:07:44 2024 commencing in-memory singleton removal
  119. Mon Jan 1 00:07:45 2024 begin with 66654262 relations and 67793704 unique ideals
  120. Mon Jan 1 00:07:47 2024 reduce to 66063725 relations and 61683213 ideals in 8 passes
  121. Mon Jan 1 00:07:47 2024 max relations containing the same ideal: 108
  122. Mon Jan 1 00:08:10 2024 removing 7410905 relations and 5410905 ideals in 2000000 cliques
  123. Mon Jan 1 00:08:13 2024 commencing in-memory singleton removal
  124. Mon Jan 1 00:08:13 2024 begin with 58652820 relations and 61683213 unique ideals
  125. Mon Jan 1 00:08:15 2024 reduce to 58015639 relations and 55618603 ideals in 8 passes
  126. Mon Jan 1 00:08:15 2024 max relations containing the same ideal: 99
  127. Mon Jan 1 00:08:35 2024 removing 5002950 relations and 3770319 ideals in 1232631 cliques
  128. Mon Jan 1 00:08:38 2024 commencing in-memory singleton removal
  129. Mon Jan 1 00:08:38 2024 begin with 53012689 relations and 55618603 unique ideals
  130. Mon Jan 1 00:08:40 2024 reduce to 52701280 relations and 51531000 ideals in 7 passes
  131. Mon Jan 1 00:08:40 2024 max relations containing the same ideal: 92
  132. Mon Jan 1 00:09:04 2024 relations with 0 large ideals: 36780
  133. Mon Jan 1 00:09:04 2024 relations with 1 large ideals: 15507
  134. Mon Jan 1 00:09:04 2024 relations with 2 large ideals: 158546
  135. Mon Jan 1 00:09:04 2024 relations with 3 large ideals: 1086888
  136. Mon Jan 1 00:09:04 2024 relations with 4 large ideals: 4103003
  137. Mon Jan 1 00:09:04 2024 relations with 5 large ideals: 9379603
  138. Mon Jan 1 00:09:04 2024 relations with 6 large ideals: 13563821
  139. Mon Jan 1 00:09:04 2024 relations with 7+ large ideals: 24357132
  140. Mon Jan 1 00:09:04 2024 commencing 2-way merge
  141. Mon Jan 1 00:09:34 2024 reduce to 34972096 relation sets and 33801816 unique ideals
  142. Mon Jan 1 00:09:34 2024 commencing full merge
  143. Mon Jan 1 00:20:49 2024 memory use: 4542.4 MB
  144. Mon Jan 1 00:20:52 2024 found 15928164 cycles, need 15866016
  145. Mon Jan 1 00:20:56 2024 weight of 15866016 cycles is about 1904646182 (120.05/cycle)
  146. Mon Jan 1 00:20:56 2024 distribution of cycle lengths:
  147. Mon Jan 1 00:20:56 2024 1 relations: 765158
  148. Mon Jan 1 00:20:56 2024 2 relations: 1076910
  149. Mon Jan 1 00:20:56 2024 3 relations: 1237994
  150. Mon Jan 1 00:20:56 2024 4 relations: 1243335
  151. Mon Jan 1 00:20:56 2024 5 relations: 1238674
  152. Mon Jan 1 00:20:56 2024 6 relations: 1186361
  153. Mon Jan 1 00:20:56 2024 7 relations: 1132551
  154. Mon Jan 1 00:20:56 2024 8 relations: 1060292
  155. Mon Jan 1 00:20:56 2024 9 relations: 987090
  156. Mon Jan 1 00:20:56 2024 10+ relations: 5937651
  157. Mon Jan 1 00:20:56 2024 heaviest cycle: 28 relations
  158. Mon Jan 1 00:20:59 2024 commencing cycle optimization
  159. Mon Jan 1 00:21:25 2024 start with 135292383 relations
  160. Mon Jan 1 00:25:30 2024 pruned 6106881 relations
  161. Mon Jan 1 00:25:30 2024 memory use: 3580.0 MB
  162. Mon Jan 1 00:25:30 2024 distribution of cycle lengths:
  163. Mon Jan 1 00:25:30 2024 1 relations: 765158
  164. Mon Jan 1 00:25:30 2024 2 relations: 1104759
  165. Mon Jan 1 00:25:30 2024 3 relations: 1293801
  166. Mon Jan 1 00:25:30 2024 4 relations: 1296934
  167. Mon Jan 1 00:25:30 2024 5 relations: 1299825
  168. Mon Jan 1 00:25:30 2024 6 relations: 1239897
  169. Mon Jan 1 00:25:30 2024 7 relations: 1185900
  170. Mon Jan 1 00:25:30 2024 8 relations: 1104390
  171. Mon Jan 1 00:25:30 2024 9 relations: 1024490
  172. Mon Jan 1 00:25:30 2024 10+ relations: 5550862
  173. Mon Jan 1 00:25:30 2024 heaviest cycle: 28 relations
  174. Mon Jan 1 00:25:51 2024 RelProcTime: 2578
  175. Mon Jan 1 00:25:51 2024
  176. Mon Jan 1 00:25:51 2024 commencing linear algebra
  177. Mon Jan 1 00:25:51 2024 using VBITS=256
  178. Mon Jan 1 00:25:52 2024 read 15866016 cycles
  179. Mon Jan 1 00:26:16 2024 cycles contain 51998405 unique relations
  180. Mon Jan 1 00:29:39 2024 read 51998405 relations
  181. Mon Jan 1 00:29:44 2024 using 20 quadratic characters above 4294917295
  182. Mon Jan 1 00:29:48 2024 building initial matrix
  183. Mon Jan 1 00:38:54 2024 memory use: 6906.9 MB
  184. Mon Jan 1 00:39:01 2024 read 15866016 cycles
  185. Mon Jan 1 00:39:02 2024 matrix is 15865836 x 15866016 (7395.4 MB) with weight 2122231826 (133.76/col)
  186. Mon Jan 1 00:39:02 2024 sparse part has weight 1779998201 (112.19/col)
  187. Mon Jan 1 00:42:02 2024 filtering completed in 2 passes
  188. Mon Jan 1 00:42:04 2024 matrix is 15865379 x 15865550 (7395.4 MB) with weight 2122216122 (133.76/col)
  189. Mon Jan 1 00:42:04 2024 sparse part has weight 1779992482 (112.19/col)
  190. Mon Jan 1 00:43:36 2024 matrix starts at (0, 0)
  191. Mon Jan 1 00:43:38 2024 matrix is 15865379 x 15865550 (7395.4 MB) with weight 2122216122 (133.76/col)
  192. Mon Jan 1 00:43:38 2024 sparse part has weight 1779992482 (112.19/col)
  193. Mon Jan 1 00:43:38 2024 saving the first 240 matrix rows for later
  194. Mon Jan 1 00:43:40 2024 matrix includes 256 packed rows
  195. Mon Jan 1 00:43:45 2024 matrix is 15865139 x 15865550 (6834.7 MB) with weight 1622308430 (102.25/col)
  196. Mon Jan 1 00:43:45 2024 sparse part has weight 1537823557 (96.93/col)
  197. Mon Jan 1 00:43:45 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  198. Mon Jan 1 00:44:17 2024 commencing Lanczos iteration (64 threads)
  199. Mon Jan 1 00:44:17 2024 memory use: 9436.4 MB
  200. Mon Jan 1 00:46:37 2024 linear algebra at 0.2%, ETA 19h49m
  201. Mon Jan 1 00:49:55 2024 checking every 10000 dimensions, checkpointing every 830000 dimensions
  202. Mon Jan 1 20:07:58 2024 lanczos halted after 62159 iterations (dim = 15865137)
  203. Mon Jan 1 20:09:06 2024 recovered 33 nontrivial dependencies
  204. Mon Jan 1 20:09:08 2024 BLanczosTime: 70997
  205. Mon Jan 1 20:09:08 2024
  206. Mon Jan 1 20:09:08 2024 commencing square root phase
  207. Mon Jan 1 20:09:08 2024 handling dependencies 1 to 64
  208. Mon Jan 1 20:09:08 2024 reading relations for dependency 1
  209. Mon Jan 1 20:09:09 2024 read 7929669 cycles
  210. Mon Jan 1 20:09:21 2024 cycles contain 25994334 unique relations
  211. Mon Jan 1 20:12:37 2024 read 25994334 relations
  212. Mon Jan 1 20:14:11 2024 multiplying 25994334 relations
  213. Mon Jan 1 20:15:46 2024 multiply complete, coefficients have about 771.80 million bits
  214. Mon Jan 1 20:15:47 2024 initial square root is modulo 8398879
  215. Mon Jan 1 20:20:24 2024 found factor: 72810209185915047856231619234481470555040344998909281247170110813088577
  216. Mon Jan 1 20:20:24 2024 reading relations for dependency 2
  217. Mon Jan 1 20:20:25 2024 read 7934326 cycles
  218. Mon Jan 1 20:20:38 2024 cycles contain 25998622 unique relations
  219. Mon Jan 1 20:23:53 2024 read 25998622 relations
  220. Mon Jan 1 20:25:26 2024 multiplying 25998622 relations
  221. Mon Jan 1 20:27:01 2024 multiply complete, coefficients have about 771.92 million bits
  222. Mon Jan 1 20:27:03 2024 initial square root is modulo 8419207
  223. Mon Jan 1 20:31:40 2024 sqrtTime: 1352
  224. Mon Jan 1 20:31:40 2024 p67 factor: 7322218184979124257117485147928746527290086623957711259082199845443
  225. Mon Jan 1 20:31:40 2024 p71 factor: 72810209185915047856231619234481470555040344998909281247170110813088577
  226. Mon Jan 1 20:31:40 2024 p120 factor: 145888341146942615830698487165798280836324543357002873361993814868422849432252454946471024895887355707970539907568145777
  227. Mon Jan 1 20:31:40 2024 elapsed time 20:48:48
  228.  
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