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Aug 4th, 2022
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  1. Sat Jul 16 06:00:30 2022
  2. Sat Jul 16 06:00:30 2022
  3. Sat Jul 16 06:00:30 2022 Msieve v. 1.53 (SVN unknown)
  4. Sat Jul 16 06:00:30 2022 random seeds: 20b991a8 410be6e3
  5. Sat Jul 16 06:00:30 2022 factoring 29231941200048773192072143537975240035392752222943454466651345115175874440620361277747011606571735331318501523221682807237438655971036167561843302582638247186953886531990556894029897491931411184453 (197 digits)
  6. Sat Jul 16 06:00:31 2022 searching for 15-digit factors
  7. Sat Jul 16 06:00:32 2022 commencing number field sieve (197-digit input)
  8. Sat Jul 16 06:00:32 2022 R0: 706965049015104706497203195837614914543357369
  9. Sat Jul 16 06:00:32 2022 R1: -19807040628566084398385987584
  10. Sat Jul 16 06:00:32 2022 A0: -3
  11. Sat Jul 16 06:00:32 2022 A1: 0
  12. Sat Jul 16 06:00:32 2022 A2: 0
  13. Sat Jul 16 06:00:32 2022 A3: 0
  14. Sat Jul 16 06:00:32 2022 A4: 0
  15. Sat Jul 16 06:00:32 2022 A5: 0
  16. Sat Jul 16 06:00:32 2022 A6: 2
  17. Sat Jul 16 06:00:32 2022 skew 1.07, size 3.618e-13, alpha 1.316, combined = 5.264e-14 rroots = 2
  18. Sat Jul 16 06:00:32 2022
  19. Sat Jul 16 06:00:32 2022 commencing relation filtering
  20. Sat Jul 16 06:00:32 2022 setting target matrix density to 116.0
  21. Sat Jul 16 06:00:32 2022 estimated available RAM is 32721.3 MB
  22. Sat Jul 16 06:00:32 2022 commencing duplicate removal, pass 1
  23. Sat Jul 16 06:05:32 2022 error -15 reading relation 21556184
  24. Sat Jul 16 06:07:12 2022 error -15 reading relation 28739758
  25. Sat Jul 16 06:08:51 2022 error -9 reading relation 35890151
  26. Sat Jul 16 06:12:24 2022 error -15 reading relation 51275453
  27. Sat Jul 16 06:12:31 2022 error -9 reading relation 51737814
  28. Sat Jul 16 06:12:35 2022 error -9 reading relation 52042356
  29. Sat Jul 16 07:42:04 2022 error -5 reading relation 439117449
  30. Sat Jul 16 07:42:04 2022 error -9 reading relation 439126262
  31. Sat Jul 16 07:42:12 2022 error -11 reading relation 439635210
  32. Sat Jul 16 07:42:41 2022 error -9 reading relation 441732119
  33. Sat Jul 16 07:42:41 2022 error -9 reading relation 441732311
  34. Sat Jul 16 07:42:45 2022 skipped 1425 relations with b > 2^32
  35. Sat Jul 16 07:42:45 2022 skipped 186 relations with composite factors
  36. Sat Jul 16 07:42:45 2022 found 104400316 hash collisions in 442087713 relations
  37. Sat Jul 16 07:43:14 2022 added 1219244 free relations
  38. Sat Jul 16 07:43:14 2022 commencing duplicate removal, pass 2
  39. Sat Jul 16 07:51:39 2022 found 104905712 duplicates and 338401245 unique relations
  40. Sat Jul 16 07:51:39 2022 memory use: 2387.0 MB
  41. Sat Jul 16 07:51:39 2022 reading ideals above 204931072
  42. Sat Jul 16 07:51:39 2022 commencing singleton removal, initial pass
  43. Sat Jul 16 08:51:00 2022 memory use: 6024.0 MB
  44. Sat Jul 16 08:51:00 2022 reading all ideals from disk
  45. Sat Jul 16 08:51:55 2022 memory use: 6239.5 MB
  46. Sat Jul 16 08:52:10 2022 commencing in-memory singleton removal
  47. Sat Jul 16 08:52:24 2022 begin with 338401245 relations and 308841624 unique ideals
  48. Sat Jul 16 08:55:07 2022 reduce to 194387080 relations and 147600071 ideals in 16 passes
  49. Sat Jul 16 08:55:07 2022 max relations containing the same ideal: 46
  50. Sat Jul 16 08:55:25 2022 reading ideals above 720000
  51. Sat Jul 16 08:55:25 2022 commencing singleton removal, initial pass
  52. Sat Jul 16 09:37:46 2022 memory use: 5512.0 MB
  53. Sat Jul 16 09:37:47 2022 reading all ideals from disk
  54. Sat Jul 16 09:39:03 2022 memory use: 8130.6 MB
  55. Sat Jul 16 09:39:28 2022 keeping 169244873 ideals with weight <= 200, target excess is 1024426
  56. Sat Jul 16 09:39:55 2022 commencing in-memory singleton removal
  57. Sat Jul 16 09:40:14 2022 begin with 194387080 relations and 169244873 unique ideals
  58. Sat Jul 16 09:42:53 2022 reduce to 194381337 relations and 169239129 ideals in 8 passes
  59. Sat Jul 16 09:42:53 2022 max relations containing the same ideal: 200
  60. Sat Jul 16 09:44:33 2022 removing 15193337 relations and 13193337 ideals in 2000000 cliques
  61. Sat Jul 16 09:44:39 2022 commencing in-memory singleton removal
  62. Sat Jul 16 09:44:55 2022 begin with 179188000 relations and 169239129 unique ideals
  63. Sat Jul 16 09:47:57 2022 reduce to 178207569 relations and 155051258 ideals in 10 passes
  64. Sat Jul 16 09:47:57 2022 max relations containing the same ideal: 197
  65. Sat Jul 16 09:49:29 2022 removing 11365769 relations and 9365769 ideals in 2000000 cliques
  66. Sat Jul 16 09:49:34 2022 commencing in-memory singleton removal
  67. Sat Jul 16 09:49:50 2022 begin with 166841800 relations and 155051258 unique ideals
  68. Sat Jul 16 09:52:38 2022 reduce to 166223664 relations and 145059926 ideals in 10 passes
  69. Sat Jul 16 09:52:38 2022 max relations containing the same ideal: 191
  70. Sat Jul 16 09:54:04 2022 removing 10184501 relations and 8184501 ideals in 2000000 cliques
  71. Sat Jul 16 09:54:08 2022 commencing in-memory singleton removal
  72. Sat Jul 16 09:54:23 2022 begin with 156039163 relations and 145059926 unique ideals
  73. Sat Jul 16 09:56:28 2022 reduce to 155507849 relations and 136337908 ideals in 8 passes
  74. Sat Jul 16 09:56:28 2022 max relations containing the same ideal: 182
  75. Sat Jul 16 09:57:49 2022 removing 9561379 relations and 7561379 ideals in 2000000 cliques
  76. Sat Jul 16 09:57:53 2022 commencing in-memory singleton removal
  77. Sat Jul 16 09:58:07 2022 begin with 145946470 relations and 136337908 unique ideals
  78. Sat Jul 16 10:00:04 2022 reduce to 145446980 relations and 128270919 ideals in 8 passes
  79. Sat Jul 16 10:00:04 2022 max relations containing the same ideal: 175
  80. Sat Jul 16 10:01:19 2022 removing 9172236 relations and 7172236 ideals in 2000000 cliques
  81. Sat Jul 16 10:01:23 2022 commencing in-memory singleton removal
  82. Sat Jul 16 10:01:36 2022 begin with 136274744 relations and 128270919 unique ideals
  83. Sat Jul 16 10:03:25 2022 reduce to 135787521 relations and 120605043 ideals in 8 passes
  84. Sat Jul 16 10:03:25 2022 max relations containing the same ideal: 169
  85. Sat Jul 16 10:04:36 2022 removing 8912441 relations and 6912441 ideals in 2000000 cliques
  86. Sat Jul 16 10:04:40 2022 commencing in-memory singleton removal
  87. Sat Jul 16 10:04:51 2022 begin with 126875080 relations and 120605043 unique ideals
  88. Sat Jul 16 10:06:45 2022 reduce to 126384481 relations and 113195553 ideals in 9 passes
  89. Sat Jul 16 10:06:45 2022 max relations containing the same ideal: 160
  90. Sat Jul 16 10:07:52 2022 removing 8740974 relations and 6740974 ideals in 2000000 cliques
  91. Sat Jul 16 10:07:55 2022 commencing in-memory singleton removal
  92. Sat Jul 16 10:08:06 2022 begin with 117643507 relations and 113195553 unique ideals
  93. Sat Jul 16 10:09:39 2022 reduce to 117139200 relations and 105943281 ideals in 8 passes
  94. Sat Jul 16 10:09:39 2022 max relations containing the same ideal: 153
  95. Sat Jul 16 10:10:41 2022 removing 8629864 relations and 6629864 ideals in 2000000 cliques
  96. Sat Jul 16 10:10:44 2022 commencing in-memory singleton removal
  97. Sat Jul 16 10:10:54 2022 begin with 108509336 relations and 105943281 unique ideals
  98. Sat Jul 16 10:12:19 2022 reduce to 107982707 relations and 98779003 ideals in 8 passes
  99. Sat Jul 16 10:12:19 2022 max relations containing the same ideal: 145
  100. Sat Jul 16 10:13:17 2022 removing 8572012 relations and 6572012 ideals in 2000000 cliques
  101. Sat Jul 16 10:13:20 2022 commencing in-memory singleton removal
  102. Sat Jul 16 10:13:29 2022 begin with 99410695 relations and 98779003 unique ideals
  103. Sat Jul 16 10:14:46 2022 reduce to 98852373 relations and 91639619 ideals in 8 passes
  104. Sat Jul 16 10:14:46 2022 max relations containing the same ideal: 140
  105. Sat Jul 16 10:15:39 2022 removing 8542918 relations and 6542918 ideals in 2000000 cliques
  106. Sat Jul 16 10:15:42 2022 commencing in-memory singleton removal
  107. Sat Jul 16 10:15:50 2022 begin with 90309455 relations and 91639619 unique ideals
  108. Sat Jul 16 10:17:00 2022 reduce to 89706132 relations and 84482849 ideals in 8 passes
  109. Sat Jul 16 10:17:00 2022 max relations containing the same ideal: 127
  110. Sat Jul 16 10:17:48 2022 removing 8556024 relations and 6556024 ideals in 2000000 cliques
  111. Sat Jul 16 10:17:51 2022 commencing in-memory singleton removal
  112. Sat Jul 16 10:17:58 2022 begin with 81150108 relations and 84482849 unique ideals
  113. Sat Jul 16 10:19:00 2022 reduce to 80483828 relations and 77247721 ideals in 8 passes
  114. Sat Jul 16 10:19:00 2022 max relations containing the same ideal: 117
  115. Sat Jul 16 10:19:44 2022 removing 8607897 relations and 6607897 ideals in 2000000 cliques
  116. Sat Jul 16 10:19:47 2022 commencing in-memory singleton removal
  117. Sat Jul 16 10:19:53 2022 begin with 71875931 relations and 77247721 unique ideals
  118. Sat Jul 16 10:20:48 2022 reduce to 71120203 relations and 69868116 ideals in 8 passes
  119. Sat Jul 16 10:20:48 2022 max relations containing the same ideal: 110
  120. Sat Jul 16 10:21:27 2022 removing 511158 relations and 447406 ideals in 63752 cliques
  121. Sat Jul 16 10:21:28 2022 commencing in-memory singleton removal
  122. Sat Jul 16 10:21:34 2022 begin with 70609045 relations and 69868116 unique ideals
  123. Sat Jul 16 10:22:07 2022 reduce to 70606768 relations and 69418432 ideals in 5 passes
  124. Sat Jul 16 10:22:07 2022 max relations containing the same ideal: 110
  125. Sat Jul 16 10:22:25 2022 relations with 0 large ideals: 38809
  126. Sat Jul 16 10:22:25 2022 relations with 1 large ideals: 10899
  127. Sat Jul 16 10:22:25 2022 relations with 2 large ideals: 142970
  128. Sat Jul 16 10:22:25 2022 relations with 3 large ideals: 1088372
  129. Sat Jul 16 10:22:25 2022 relations with 4 large ideals: 4530057
  130. Sat Jul 16 10:22:25 2022 relations with 5 large ideals: 11342653
  131. Sat Jul 16 10:22:25 2022 relations with 6 large ideals: 17795143
  132. Sat Jul 16 10:22:25 2022 relations with 7+ large ideals: 35657865
  133. Sat Jul 16 10:22:25 2022 commencing 2-way merge
  134. Sat Jul 16 10:23:17 2022 reduce to 43586305 relation sets and 42397969 unique ideals
  135. Sat Jul 16 10:23:17 2022 commencing full merge
  136. Sat Jul 16 10:44:48 2022 memory use: 5628.0 MB
  137. Sat Jul 16 10:44:54 2022 found 19743356 cycles, need 19716169
  138. Sat Jul 16 10:44:56 2022 weight of 19716169 cycles is about 2287529580 (116.02/cycle)
  139. Sat Jul 16 10:44:56 2022 distribution of cycle lengths:
  140. Sat Jul 16 10:44:56 2022 1 relations: 1441829
  141. Sat Jul 16 10:44:56 2022 2 relations: 1502594
  142. Sat Jul 16 10:44:56 2022 3 relations: 1535538
  143. Sat Jul 16 10:44:56 2022 4 relations: 1479670
  144. Sat Jul 16 10:44:56 2022 5 relations: 1435121
  145. Sat Jul 16 10:44:56 2022 6 relations: 1378409
  146. Sat Jul 16 10:44:56 2022 7 relations: 1304651
  147. Sat Jul 16 10:44:56 2022 8 relations: 1232848
  148. Sat Jul 16 10:44:56 2022 9 relations: 1150648
  149. Sat Jul 16 10:44:56 2022 10+ relations: 7254861
  150. Sat Jul 16 10:44:56 2022 heaviest cycle: 28 relations
  151. Sat Jul 16 10:45:00 2022 commencing cycle optimization
  152. Sat Jul 16 10:45:37 2022 start with 165500170 relations
  153. Sat Jul 16 10:54:02 2022 pruned 6311687 relations
  154. Sat Jul 16 10:54:02 2022 memory use: 4602.3 MB
  155. Sat Jul 16 10:54:03 2022 distribution of cycle lengths:
  156. Sat Jul 16 10:54:03 2022 1 relations: 1441829
  157. Sat Jul 16 10:54:03 2022 2 relations: 1535673
  158. Sat Jul 16 10:54:03 2022 3 relations: 1592515
  159. Sat Jul 16 10:54:03 2022 4 relations: 1529079
  160. Sat Jul 16 10:54:03 2022 5 relations: 1492656
  161. Sat Jul 16 10:54:03 2022 6 relations: 1427406
  162. Sat Jul 16 10:54:03 2022 7 relations: 1355389
  163. Sat Jul 16 10:54:03 2022 8 relations: 1276570
  164. Sat Jul 16 10:54:03 2022 9 relations: 1187088
  165. Sat Jul 16 10:54:03 2022 10+ relations: 6877964
  166. Sat Jul 16 10:54:03 2022 heaviest cycle: 28 relations
  167. Sat Jul 16 10:55:23 2022 RelProcTime: 17691
  168. Sat Jul 16 10:55:23 2022
  169. Sat Jul 16 10:55:23 2022 commencing linear algebra
  170. Sat Jul 16 10:55:26 2022 read 19716169 cycles
  171. Sat Jul 16 10:56:14 2022 cycles contain 69815339 unique relations
  172. Sat Jul 16 11:08:28 2022 read 69815339 relations
  173. Sat Jul 16 11:11:29 2022 using 20 quadratic characters above 4294917295
  174. Sat Jul 16 11:16:22 2022 building initial matrix
  175. Sat Jul 16 11:31:38 2022 memory use: 8828.3 MB
  176. Sat Jul 16 11:32:25 2022 read 19716169 cycles
  177. Sat Jul 16 11:32:31 2022 matrix is 19715992 x 19716169 (9097.9 MB) with weight 2608724232 (132.31/col)
  178. Sat Jul 16 11:32:31 2022 sparse part has weight 2168094644 (109.97/col)
  179. Sat Jul 16 11:37:47 2022 filtering completed in 2 passes
  180. Sat Jul 16 11:37:53 2022 matrix is 19715517 x 19715694 (9097.9 MB) with weight 2608707024 (132.32/col)
  181. Sat Jul 16 11:37:53 2022 sparse part has weight 2168088623 (109.97/col)
  182. Sat Jul 16 11:40:39 2022 matrix starts at (0, 0)
  183. Sat Jul 16 11:40:45 2022 matrix is 19715517 x 19715694 (9097.9 MB) with weight 2608707024 (132.32/col)
  184. Sat Jul 16 11:40:45 2022 sparse part has weight 2168088623 (109.97/col)
  185. Sat Jul 16 11:40:45 2022 saving the first 48 matrix rows for later
  186. Sat Jul 16 11:40:51 2022 matrix includes 64 packed rows
  187. Sat Jul 16 11:40:55 2022 matrix is 19715469 x 19715694 (8718.9 MB) with weight 2233496269 (113.29/col)
  188. Sat Jul 16 11:40:55 2022 sparse part has weight 2088456685 (105.93/col)
  189. Sat Jul 16 11:40:55 2022 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  190. Sat Jul 16 11:43:27 2022 commencing Lanczos iteration (6 threads)
  191. Sat Jul 16 11:43:27 2022 memory use: 7533.8 MB
  192. Sat Jul 16 11:45:36 2022 linear algebra at 0.0%, ETA 444h 0m
  193. Sat Jul 16 11:46:16 2022 checkpointing every 50000 dimensions
  194. Thu Aug 4 05:18:38 2022 lanczos halted after 311778 iterations (dim = 19715466)
  195. Thu Aug 4 05:19:38 2022 recovered 36 nontrivial dependencies
  196. Thu Aug 4 05:20:12 2022 BLanczosTime: 1621489
  197. Thu Aug 4 05:20:12 2022
  198. Thu Aug 4 05:20:12 2022 commencing square root phase
  199. Thu Aug 4 05:20:12 2022 handling dependencies 1 to 64
  200. Thu Aug 4 05:20:12 2022 reading relations for dependency 1
  201. Thu Aug 4 05:20:25 2022 read 9857552 cycles
  202. Thu Aug 4 05:20:47 2022 cycles contain 34906254 unique relations
  203. Thu Aug 4 05:29:00 2022 read 34906254 relations
  204. Thu Aug 4 05:32:18 2022 multiplying 34906254 relations
  205. Thu Aug 4 06:01:15 2022 multiply complete, coefficients have about 948.99 million bits
  206. Thu Aug 4 06:01:23 2022 initial square root is modulo 326503063
  207. Thu Aug 4 06:34:59 2022 sqrtTime: 4487
  208. Thu Aug 4 06:34:59 2022 p72 factor: 487954727601792310733889624676202540802213356569913262940345252835252947
  209. Thu Aug 4 06:34:59 2022 p125 factor: 59907076510393463591901099010037814296498745389763654183121040269197074705036501711109220558849210100665285858377595768984199
  210. Thu Aug 4 06:34:59 2022 elapsed time 456:34:29
  211.  
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