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Dec 26th, 2023
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  1. Tue Dec 26 09:36:59 2023
  2. Tue Dec 26 09:36:59 2023
  3. Tue Dec 26 09:36:59 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Dec 26 09:36:59 2023 random seeds: 880985e1 f687c5e8
  5. Tue Dec 26 09:36:59 2023 Using 64 OpenMP threads
  6. Tue Dec 26 09:36:59 2023 factoring 15104132838686141723912070612262526835136222301302666607326178861644928446413466617292147462951739813332888240824207314719777709619666145885979662703897735117835400868117347777 (176 digits)
  7. Tue Dec 26 09:37:00 2023 searching for 15-digit factors
  8. Tue Dec 26 09:37:00 2023 commencing number field sieve (176-digit input)
  9. Tue Dec 26 09:37:00 2023 R0: -15022759910725598348679058464608888
  10. Tue Dec 26 09:37:00 2023 R1: 840028516186536311
  11. Tue Dec 26 09:37:00 2023 A0: 23959837604710894126709541863412318468268287
  12. Tue Dec 26 09:37:00 2023 A1: 1240272771420948164228909610775935861
  13. Tue Dec 26 09:37:00 2023 A2: -86608544996259616237232775823
  14. Tue Dec 26 09:37:00 2023 A3: -794581750654104317561
  15. Tue Dec 26 09:37:00 2023 A4: 12612944972216
  16. Tue Dec 26 09:37:00 2023 A5: 19740
  17. Tue Dec 26 09:37:00 2023 skew 85464486.19, size 3.617e-17, alpha -7.033, combined = 1.548e-13 rroots = 5
  18. Tue Dec 26 09:37:00 2023
  19. Tue Dec 26 09:37:00 2023 commencing relation filtering
  20. Tue Dec 26 09:37:00 2023 setting target matrix density to 120.0
  21. Tue Dec 26 09:37:00 2023 estimated available RAM is 257736.5 MB
  22. Tue Dec 26 09:37:00 2023 commencing duplicate removal, pass 1
  23. Tue Dec 26 09:37:08 2023 error -1 reading relation 5560506
  24. Tue Dec 26 09:37:33 2023 error -1 reading relation 24635332
  25. Tue Dec 26 09:37:35 2023 error -1 reading relation 26354869
  26. Tue Dec 26 09:37:59 2023 error -1 reading relation 44429685
  27. Tue Dec 26 09:38:18 2023 error -1 reading relation 59188794
  28. Tue Dec 26 09:38:53 2023 error -1 reading relation 85600121
  29. Tue Dec 26 09:39:08 2023 error -11 reading relation 97305749
  30. Tue Dec 26 09:39:14 2023 error -1 reading relation 101931658
  31. Tue Dec 26 09:39:29 2023 error -1 reading relation 113223549
  32. Tue Dec 26 09:39:35 2023 error -1 reading relation 117856289
  33. Tue Dec 26 09:39:39 2023 error -1 reading relation 120615663
  34. Tue Dec 26 09:39:42 2023 error -1 reading relation 122991804
  35. Tue Dec 26 09:39:43 2023 error -1 reading relation 123847801
  36. Tue Dec 26 09:40:03 2023 error -1 reading relation 139072293
  37. Tue Dec 26 09:40:25 2023 error -1 reading relation 155339014
  38. Tue Dec 26 09:40:25 2023 error -1 reading relation 155512123
  39. Tue Dec 26 09:40:25 2023 error -1 reading relation 155863236
  40. Tue Dec 26 09:40:36 2023 error -1 reading relation 163842288
  41. Tue Dec 26 09:40:37 2023 error -1 reading relation 164877837
  42. Tue Dec 26 09:40:44 2023 error -1 reading relation 170067014
  43. Tue Dec 26 09:40:44 2023 error -1 reading relation 170141971
  44. Tue Dec 26 09:41:00 2023 error -1 reading relation 182569193
  45. Tue Dec 26 09:41:04 2023 error -1 reading relation 185170089
  46. Tue Dec 26 09:41:04 2023 error -1 reading relation 185590879
  47. Tue Dec 26 09:41:06 2023 error -1 reading relation 186866464
  48. Tue Dec 26 09:41:06 2023 error -1 reading relation 186868597
  49. Tue Dec 26 09:41:14 2023 error -1 reading relation 193163562
  50. Tue Dec 26 09:41:21 2023 error -1 reading relation 198724820
  51. Tue Dec 26 09:41:30 2023 error -1 reading relation 205300870
  52. Tue Dec 26 09:41:33 2023 error -1 reading relation 207779149
  53. Tue Dec 26 09:41:38 2023 error -1 reading relation 211158985
  54. Tue Dec 26 09:41:38 2023 error -1 reading relation 211227312
  55. Tue Dec 26 09:41:43 2023 error -1 reading relation 215019601
  56. Tue Dec 26 09:41:47 2023 error -15 reading relation 217648161
  57. Tue Dec 26 09:41:47 2023 error -1 reading relation 218092856
  58. Tue Dec 26 09:42:01 2023 skipped 1 relations with b > 2^32
  59. Tue Dec 26 09:42:01 2023 skipped 278 malformed relations
  60. Tue Dec 26 09:42:01 2023 found 36860078 hash collisions in 228228993 relations
  61. Tue Dec 26 09:42:23 2023 added 121362 free relations
  62. Tue Dec 26 09:42:23 2023 commencing duplicate removal, pass 2
  63. Tue Dec 26 09:46:20 2023 found 32819675 duplicates and 195530680 unique relations
  64. Tue Dec 26 09:46:20 2023 memory use: 1321.5 MB
  65. Tue Dec 26 09:46:20 2023 reading ideals above 720000
  66. Tue Dec 26 09:46:20 2023 commencing singleton removal, initial pass
  67. Tue Dec 26 09:55:13 2023 memory use: 5512.0 MB
  68. Tue Dec 26 09:55:13 2023 reading all ideals from disk
  69. Tue Dec 26 09:55:16 2023 memory use: 9435.8 MB
  70. Tue Dec 26 09:55:36 2023 keeping 175470274 ideals with weight <= 200, target excess is 1040912
  71. Tue Dec 26 09:56:00 2023 commencing in-memory singleton removal
  72. Tue Dec 26 09:56:02 2023 begin with 195530680 relations and 175470274 unique ideals
  73. Tue Dec 26 09:56:10 2023 reduce to 129806482 relations and 103330008 ideals in 13 passes
  74. Tue Dec 26 09:56:10 2023 max relations containing the same ideal: 161
  75. Tue Dec 26 09:56:48 2023 removing 10579578 relations and 8579578 ideals in 2000000 cliques
  76. Tue Dec 26 09:56:52 2023 commencing in-memory singleton removal
  77. Tue Dec 26 09:56:53 2023 begin with 119226904 relations and 103330008 unique ideals
  78. Tue Dec 26 09:56:57 2023 reduce to 118603103 relations and 94114806 ideals in 7 passes
  79. Tue Dec 26 09:56:57 2023 max relations containing the same ideal: 152
  80. Tue Dec 26 09:57:37 2023 removing 8067235 relations and 6067235 ideals in 2000000 cliques
  81. Tue Dec 26 09:57:42 2023 commencing in-memory singleton removal
  82. Tue Dec 26 09:57:43 2023 begin with 110535868 relations and 94114806 unique ideals
  83. Tue Dec 26 09:57:46 2023 reduce to 110115404 relations and 87619990 ideals in 7 passes
  84. Tue Dec 26 09:57:46 2023 max relations containing the same ideal: 148
  85. Tue Dec 26 09:58:21 2023 removing 7328156 relations and 5328156 ideals in 2000000 cliques
  86. Tue Dec 26 09:58:24 2023 commencing in-memory singleton removal
  87. Tue Dec 26 09:58:25 2023 begin with 102787248 relations and 87619990 unique ideals
  88. Tue Dec 26 09:58:28 2023 reduce to 102414837 relations and 81913154 ideals in 7 passes
  89. Tue Dec 26 09:58:28 2023 max relations containing the same ideal: 144
  90. Tue Dec 26 09:58:59 2023 removing 6948653 relations and 4948653 ideals in 2000000 cliques
  91. Tue Dec 26 09:59:03 2023 commencing in-memory singleton removal
  92. Tue Dec 26 09:59:04 2023 begin with 95466184 relations and 81913154 unique ideals
  93. Tue Dec 26 09:59:06 2023 reduce to 95115695 relations and 76607760 ideals in 6 passes
  94. Tue Dec 26 09:59:06 2023 max relations containing the same ideal: 136
  95. Tue Dec 26 09:59:35 2023 removing 6716736 relations and 4716736 ideals in 2000000 cliques
  96. Tue Dec 26 09:59:38 2023 commencing in-memory singleton removal
  97. Tue Dec 26 09:59:39 2023 begin with 88398959 relations and 76607760 unique ideals
  98. Tue Dec 26 09:59:41 2023 reduce to 88054635 relations and 71540245 ideals in 7 passes
  99. Tue Dec 26 09:59:41 2023 max relations containing the same ideal: 129
  100. Tue Dec 26 10:00:07 2023 removing 6560029 relations and 4560029 ideals in 2000000 cliques
  101. Tue Dec 26 10:00:10 2023 commencing in-memory singleton removal
  102. Tue Dec 26 10:00:11 2023 begin with 81494606 relations and 71540245 unique ideals
  103. Tue Dec 26 10:00:14 2023 reduce to 81150135 relations and 66628873 ideals in 8 passes
  104. Tue Dec 26 10:00:14 2023 max relations containing the same ideal: 120
  105. Tue Dec 26 10:00:38 2023 removing 6452762 relations and 4452762 ideals in 2000000 cliques
  106. Tue Dec 26 10:00:41 2023 commencing in-memory singleton removal
  107. Tue Dec 26 10:00:41 2023 begin with 74697373 relations and 66628873 unique ideals
  108. Tue Dec 26 10:00:44 2023 reduce to 74345053 relations and 61816170 ideals in 8 passes
  109. Tue Dec 26 10:00:44 2023 max relations containing the same ideal: 112
  110. Tue Dec 26 10:01:06 2023 removing 6380908 relations and 4380908 ideals in 2000000 cliques
  111. Tue Dec 26 10:01:09 2023 commencing in-memory singleton removal
  112. Tue Dec 26 10:01:09 2023 begin with 67964145 relations and 61816170 unique ideals
  113. Tue Dec 26 10:01:11 2023 reduce to 67599492 relations and 57062164 ideals in 7 passes
  114. Tue Dec 26 10:01:11 2023 max relations containing the same ideal: 105
  115. Tue Dec 26 10:01:32 2023 removing 6326863 relations and 4326863 ideals in 2000000 cliques
  116. Tue Dec 26 10:01:34 2023 commencing in-memory singleton removal
  117. Tue Dec 26 10:01:35 2023 begin with 61272629 relations and 57062164 unique ideals
  118. Tue Dec 26 10:01:36 2023 reduce to 60886659 relations and 52339548 ideals in 6 passes
  119. Tue Dec 26 10:01:36 2023 max relations containing the same ideal: 98
  120. Tue Dec 26 10:01:55 2023 removing 6293145 relations and 4293145 ideals in 2000000 cliques
  121. Tue Dec 26 10:01:57 2023 commencing in-memory singleton removal
  122. Tue Dec 26 10:01:57 2023 begin with 54593514 relations and 52339548 unique ideals
  123. Tue Dec 26 10:01:59 2023 reduce to 54179327 relations and 47620645 ideals in 6 passes
  124. Tue Dec 26 10:01:59 2023 max relations containing the same ideal: 94
  125. Tue Dec 26 10:02:15 2023 removing 6271492 relations and 4271492 ideals in 2000000 cliques
  126. Tue Dec 26 10:02:18 2023 commencing in-memory singleton removal
  127. Tue Dec 26 10:02:18 2023 begin with 47907835 relations and 47620645 unique ideals
  128. Tue Dec 26 10:02:19 2023 reduce to 47454168 relations and 42881399 ideals in 7 passes
  129. Tue Dec 26 10:02:19 2023 max relations containing the same ideal: 88
  130. Tue Dec 26 10:02:34 2023 removing 6266926 relations and 4266926 ideals in 2000000 cliques
  131. Tue Dec 26 10:02:36 2023 commencing in-memory singleton removal
  132. Tue Dec 26 10:02:36 2023 begin with 41187242 relations and 42881399 unique ideals
  133. Tue Dec 26 10:02:37 2023 reduce to 40673757 relations and 38083479 ideals in 9 passes
  134. Tue Dec 26 10:02:37 2023 max relations containing the same ideal: 74
  135. Tue Dec 26 10:02:52 2023 removing 4627601 relations and 3244781 ideals in 1382820 cliques
  136. Tue Dec 26 10:02:53 2023 commencing in-memory singleton removal
  137. Tue Dec 26 10:02:54 2023 begin with 36046156 relations and 38083479 unique ideals
  138. Tue Dec 26 10:02:55 2023 reduce to 35713819 relations and 34496885 ideals in 8 passes
  139. Tue Dec 26 10:02:55 2023 max relations containing the same ideal: 68
  140. Tue Dec 26 10:03:06 2023 removing 63909 relations and 54433 ideals in 9476 cliques
  141. Tue Dec 26 10:03:07 2023 commencing in-memory singleton removal
  142. Tue Dec 26 10:03:08 2023 begin with 35649910 relations and 34496885 unique ideals
  143. Tue Dec 26 10:03:08 2023 reduce to 35649837 relations and 34442379 ideals in 4 passes
  144. Tue Dec 26 10:03:08 2023 max relations containing the same ideal: 68
  145. Tue Dec 26 10:03:12 2023 relations with 0 large ideals: 3404
  146. Tue Dec 26 10:03:12 2023 relations with 1 large ideals: 17116
  147. Tue Dec 26 10:03:12 2023 relations with 2 large ideals: 230646
  148. Tue Dec 26 10:03:12 2023 relations with 3 large ideals: 1382926
  149. Tue Dec 26 10:03:12 2023 relations with 4 large ideals: 4411486
  150. Tue Dec 26 10:03:12 2023 relations with 5 large ideals: 8301194
  151. Tue Dec 26 10:03:12 2023 relations with 6 large ideals: 9744956
  152. Tue Dec 26 10:03:12 2023 relations with 7+ large ideals: 11558109
  153. Tue Dec 26 10:03:12 2023 commencing 2-way merge
  154. Tue Dec 26 10:03:30 2023 reduce to 23912631 relation sets and 22705173 unique ideals
  155. Tue Dec 26 10:03:30 2023 commencing full merge
  156. Tue Dec 26 10:09:43 2023 memory use: 2975.6 MB
  157. Tue Dec 26 10:09:45 2023 found 11172037 cycles, need 11039373
  158. Tue Dec 26 10:09:47 2023 weight of 11039373 cycles is about 1324775381 (120.00/cycle)
  159. Tue Dec 26 10:09:47 2023 distribution of cycle lengths:
  160. Tue Dec 26 10:09:47 2023 1 relations: 310230
  161. Tue Dec 26 10:09:47 2023 2 relations: 665347
  162. Tue Dec 26 10:09:47 2023 3 relations: 836133
  163. Tue Dec 26 10:09:47 2023 4 relations: 889150
  164. Tue Dec 26 10:09:47 2023 5 relations: 922829
  165. Tue Dec 26 10:09:47 2023 6 relations: 917575
  166. Tue Dec 26 10:09:47 2023 7 relations: 900775
  167. Tue Dec 26 10:09:47 2023 8 relations: 850110
  168. Tue Dec 26 10:09:47 2023 9 relations: 785840
  169. Tue Dec 26 10:09:47 2023 10+ relations: 3961384
  170. Tue Dec 26 10:09:47 2023 heaviest cycle: 26 relations
  171. Tue Dec 26 10:09:50 2023 commencing cycle optimization
  172. Tue Dec 26 10:10:06 2023 start with 91617276 relations
  173. Tue Dec 26 10:12:33 2023 pruned 4477216 relations
  174. Tue Dec 26 10:12:33 2023 memory use: 2430.8 MB
  175. Tue Dec 26 10:12:33 2023 distribution of cycle lengths:
  176. Tue Dec 26 10:12:33 2023 1 relations: 310230
  177. Tue Dec 26 10:12:33 2023 2 relations: 685886
  178. Tue Dec 26 10:12:33 2023 3 relations: 878681
  179. Tue Dec 26 10:12:33 2023 4 relations: 934060
  180. Tue Dec 26 10:12:33 2023 5 relations: 977388
  181. Tue Dec 26 10:12:33 2023 6 relations: 968775
  182. Tue Dec 26 10:12:33 2023 7 relations: 954140
  183. Tue Dec 26 10:12:33 2023 8 relations: 894153
  184. Tue Dec 26 10:12:33 2023 9 relations: 822090
  185. Tue Dec 26 10:12:33 2023 10+ relations: 3613970
  186. Tue Dec 26 10:12:33 2023 heaviest cycle: 25 relations
  187. Tue Dec 26 10:12:46 2023 RelProcTime: 2146
  188. Tue Dec 26 10:12:46 2023
  189. Tue Dec 26 10:12:46 2023 commencing linear algebra
  190. Tue Dec 26 10:12:46 2023 using VBITS=256
  191. Tue Dec 26 10:12:47 2023 read 11039373 cycles
  192. Tue Dec 26 10:13:02 2023 cycles contain 35078677 unique relations
  193. Tue Dec 26 10:16:03 2023 read 35078677 relations
  194. Tue Dec 26 10:16:06 2023 using 20 quadratic characters above 4294917295
  195. Tue Dec 26 10:16:08 2023 building initial matrix
  196. Tue Dec 26 10:22:33 2023 memory use: 5027.9 MB
  197. Tue Dec 26 10:22:39 2023 read 11039373 cycles
  198. Tue Dec 26 10:22:40 2023 matrix is 11039194 x 11039373 (5194.7 MB) with weight 1583403833 (143.43/col)
  199. Tue Dec 26 10:22:40 2023 sparse part has weight 1229286900 (111.35/col)
  200. Tue Dec 26 10:24:36 2023 filtering completed in 2 passes
  201. Tue Dec 26 10:24:38 2023 matrix is 11038896 x 11039074 (5194.7 MB) with weight 1583387134 (143.43/col)
  202. Tue Dec 26 10:24:38 2023 sparse part has weight 1229280113 (111.36/col)
  203. Tue Dec 26 10:25:43 2023 matrix starts at (0, 0)
  204. Tue Dec 26 10:25:44 2023 matrix is 11038896 x 11039074 (5194.7 MB) with weight 1583387134 (143.43/col)
  205. Tue Dec 26 10:25:44 2023 sparse part has weight 1229280113 (111.36/col)
  206. Tue Dec 26 10:25:44 2023 saving the first 240 matrix rows for later
  207. Tue Dec 26 10:25:46 2023 matrix includes 256 packed rows
  208. Tue Dec 26 10:25:50 2023 matrix is 11038656 x 11039074 (4703.6 MB) with weight 1126446455 (102.04/col)
  209. Tue Dec 26 10:25:50 2023 sparse part has weight 1056392032 (95.70/col)
  210. Tue Dec 26 10:25:50 2023 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  211. Tue Dec 26 10:26:12 2023 commencing Lanczos iteration (64 threads)
  212. Tue Dec 26 10:26:12 2023 memory use: 6479.0 MB
  213. Tue Dec 26 10:27:45 2023 linear algebra at 0.3%, ETA 9h 5m
  214. Tue Dec 26 10:29:56 2023 checking every 20000 dimensions, checkpointing every 1260000 dimensions
  215. Tue Dec 26 19:22:53 2023 lanczos halted after 43249 iterations (dim = 11038656)
  216. Tue Dec 26 19:23:29 2023 recovered 30 nontrivial dependencies
  217. Tue Dec 26 19:23:29 2023 BLanczosTime: 33043
  218. Tue Dec 26 19:23:29 2023
  219. Tue Dec 26 19:23:29 2023 commencing square root phase
  220. Tue Dec 26 19:23:29 2023 handling dependencies 1 to 64
  221. Tue Dec 26 19:23:29 2023 reading relations for dependency 1
  222. Tue Dec 26 19:23:30 2023 read 5518291 cycles
  223. Tue Dec 26 19:23:38 2023 cycles contain 17532648 unique relations
  224. Tue Dec 26 19:26:34 2023 read 17532648 relations
  225. Tue Dec 26 19:27:34 2023 multiplying 17532648 relations
  226. Tue Dec 26 19:29:07 2023 multiply complete, coefficients have about 975.31 million bits
  227. Tue Dec 26 19:29:09 2023 initial square root is modulo 562322773
  228. Tue Dec 26 19:34:13 2023 sqrtTime: 644
  229. Tue Dec 26 19:34:13 2023 p65 factor: 31136976677661370953004771180181742803573000591212407307416539059
  230. Tue Dec 26 19:34:13 2023 p111 factor: 485086686323091646380676029312786067000839379333686587735827385306059730283156217141105977258319030815171273403
  231. Tue Dec 26 19:34:13 2023 elapsed time 09:57:14
  232.  
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