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Nov 24th, 2023
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  1. Fri Nov 17 23:03:29 2023
  2. Fri Nov 17 23:03:29 2023
  3. Fri Nov 17 23:03:29 2023 Msieve v. 1.54 (SVN 1028)
  4. Fri Nov 17 23:03:29 2023 random seeds: 1a547ddc 86350b46
  5. Fri Nov 17 23:03:29 2023 factoring 262659589873664691515462256802783972237031208981211486665180382122980437255014560232473758001899217892912885354353336159744492611114681197182601062896964015637987340669358659889081497201806886500102431 (201 digits)
  6. Fri Nov 17 23:03:31 2023 no P-1/P+1/ECM available, skipping
  7. Fri Nov 17 23:03:31 2023 commencing number field sieve (201-digit input)
  8. Fri Nov 17 23:03:31 2023 R0: 87112285931760246646623899502532662132736
  9. Fri Nov 17 23:03:31 2023 R1: -1
  10. Fri Nov 17 23:03:31 2023 A0: -1
  11. Fri Nov 17 23:03:31 2023 A1: 0
  12. Fri Nov 17 23:03:31 2023 A2: 0
  13. Fri Nov 17 23:03:31 2023 A3: 0
  14. Fri Nov 17 23:03:31 2023 A4: 0
  15. Fri Nov 17 23:03:31 2023 A5: 0
  16. Fri Nov 17 23:03:31 2023 A6: 10
  17. Fri Nov 17 23:03:31 2023 skew 0.88, size 4.291e-12, alpha 1.180, combined = 3.399e-13 rroots = 2
  18. Fri Nov 17 23:03:31 2023
  19. Fri Nov 17 23:03:31 2023 commencing relation filtering
  20. Fri Nov 17 23:03:31 2023 setting target matrix density to 110.0
  21. Fri Nov 17 23:03:31 2023 estimated available RAM is 128836.4 MB
  22. Fri Nov 17 23:03:31 2023 commencing duplicate removal, pass 1
  23. Fri Nov 17 23:34:42 2023 error -5 reading relation 148032748
  24. Fri Nov 17 23:36:25 2023 error -1 reading relation 156172853
  25. Fri Nov 17 23:49:05 2023 skipped 133 relations with b > 2^32
  26. Fri Nov 17 23:49:05 2023 skipped 4 relations with composite factors
  27. Fri Nov 17 23:49:05 2023 found 10165204 hash collisions in 215867824 relations
  28. Fri Nov 17 23:49:34 2023 added 1218323 free relations
  29. Fri Nov 17 23:49:34 2023 commencing duplicate removal, pass 2
  30. Fri Nov 17 23:51:24 2023 found 0 duplicates and 217086147 unique relations
  31. Fri Nov 17 23:51:24 2023 memory use: 756.8 MB
  32. Fri Nov 17 23:51:24 2023 reading ideals above 720000
  33. Fri Nov 17 23:51:24 2023 commencing singleton removal, initial pass
  34. Sat Nov 18 00:33:47 2023 memory use: 6024.0 MB
  35. Sat Nov 18 00:33:48 2023 reading all ideals from disk
  36. Sat Nov 18 00:33:53 2023 memory use: 8564.7 MB
  37. Sat Nov 18 00:34:30 2023 keeping 213990228 ideals with weight <= 200, target excess is 1427722
  38. Sat Nov 18 00:35:11 2023 commencing in-memory singleton removal
  39. Sat Nov 18 00:35:40 2023 begin with 217086147 relations and 213990228 unique ideals
  40. Sat Nov 18 00:40:32 2023 reduce to 109941207 relations and 93313227 ideals in 17 passes
  41. Sat Nov 18 00:40:32 2023 max relations containing the same ideal: 138
  42. Sat Nov 18 00:41:37 2023 removing 12423750 relations and 10423750 ideals in 2000000 cliques
  43. Sat Nov 18 00:41:41 2023 commencing in-memory singleton removal
  44. Sat Nov 18 00:41:51 2023 begin with 97517457 relations and 93313227 unique ideals
  45. Sat Nov 18 00:43:26 2023 reduce to 96455558 relations and 81803063 ideals in 9 passes
  46. Sat Nov 18 00:43:26 2023 max relations containing the same ideal: 122
  47. Sat Nov 18 00:44:21 2023 removing 9400519 relations and 7400519 ideals in 2000000 cliques
  48. Sat Nov 18 00:44:24 2023 commencing in-memory singleton removal
  49. Sat Nov 18 00:44:33 2023 begin with 87055039 relations and 81803063 unique ideals
  50. Sat Nov 18 00:45:59 2023 reduce to 86329483 relations and 73661741 ideals in 9 passes
  51. Sat Nov 18 00:45:59 2023 max relations containing the same ideal: 114
  52. Sat Nov 18 00:46:49 2023 removing 8518631 relations and 6518631 ideals in 2000000 cliques
  53. Sat Nov 18 00:46:53 2023 commencing in-memory singleton removal
  54. Sat Nov 18 00:47:00 2023 begin with 77810852 relations and 73661741 unique ideals
  55. Sat Nov 18 00:48:07 2023 reduce to 77140821 relations and 66458577 ideals in 8 passes
  56. Sat Nov 18 00:48:07 2023 max relations containing the same ideal: 106
  57. Sat Nov 18 00:48:51 2023 removing 8087069 relations and 6087069 ideals in 2000000 cliques
  58. Sat Nov 18 00:48:54 2023 commencing in-memory singleton removal
  59. Sat Nov 18 00:49:00 2023 begin with 69053752 relations and 66458577 unique ideals
  60. Sat Nov 18 00:49:57 2023 reduce to 68377049 relations and 59678767 ideals in 8 passes
  61. Sat Nov 18 00:49:57 2023 max relations containing the same ideal: 95
  62. Sat Nov 18 00:50:36 2023 removing 7864080 relations and 5864080 ideals in 2000000 cliques
  63. Sat Nov 18 00:50:39 2023 commencing in-memory singleton removal
  64. Sat Nov 18 00:50:44 2023 begin with 60512969 relations and 59678767 unique ideals
  65. Sat Nov 18 00:51:33 2023 reduce to 59789518 relations and 53072514 ideals in 8 passes
  66. Sat Nov 18 00:51:33 2023 max relations containing the same ideal: 87
  67. Sat Nov 18 00:52:07 2023 removing 7759038 relations and 5759038 ideals in 2000000 cliques
  68. Sat Nov 18 00:52:09 2023 commencing in-memory singleton removal
  69. Sat Nov 18 00:52:14 2023 begin with 52030480 relations and 53072514 unique ideals
  70. Sat Nov 18 00:53:01 2023 reduce to 51216759 relations and 46475709 ideals in 9 passes
  71. Sat Nov 18 00:53:01 2023 max relations containing the same ideal: 78
  72. Sat Nov 18 00:53:31 2023 removing 7753531 relations and 5753531 ideals in 2000000 cliques
  73. Sat Nov 18 00:53:33 2023 commencing in-memory singleton removal
  74. Sat Nov 18 00:53:37 2023 begin with 43463228 relations and 46475709 unique ideals
  75. Sat Nov 18 00:54:15 2023 reduce to 42490963 relations and 39716862 ideals in 9 passes
  76. Sat Nov 18 00:54:15 2023 max relations containing the same ideal: 70
  77. Sat Nov 18 00:54:40 2023 removing 5013446 relations and 3895503 ideals in 1117943 cliques
  78. Sat Nov 18 00:54:42 2023 commencing in-memory singleton removal
  79. Sat Nov 18 00:54:45 2023 begin with 37477517 relations and 39716862 unique ideals
  80. Sat Nov 18 00:55:18 2023 reduce to 36993143 relations and 35325691 ideals in 9 passes
  81. Sat Nov 18 00:55:18 2023 max relations containing the same ideal: 64
  82. Sat Nov 18 00:55:40 2023 removing 106445 relations and 95151 ideals in 11294 cliques
  83. Sat Nov 18 00:55:41 2023 commencing in-memory singleton removal
  84. Sat Nov 18 00:55:44 2023 begin with 36886698 relations and 35325691 unique ideals
  85. Sat Nov 18 00:55:58 2023 reduce to 36886503 relations and 35230345 ideals in 4 passes
  86. Sat Nov 18 00:55:58 2023 max relations containing the same ideal: 64
  87. Sat Nov 18 00:56:05 2023 relations with 0 large ideals: 53087
  88. Sat Nov 18 00:56:05 2023 relations with 1 large ideals: 132586
  89. Sat Nov 18 00:56:05 2023 relations with 2 large ideals: 876789
  90. Sat Nov 18 00:56:05 2023 relations with 3 large ideals: 3230356
  91. Sat Nov 18 00:56:05 2023 relations with 4 large ideals: 7126059
  92. Sat Nov 18 00:56:05 2023 relations with 5 large ideals: 9803163
  93. Sat Nov 18 00:56:05 2023 relations with 6 large ideals: 8570541
  94. Sat Nov 18 00:56:05 2023 relations with 7+ large ideals: 7093922
  95. Sat Nov 18 00:56:05 2023 commencing 2-way merge
  96. Sat Nov 18 00:56:31 2023 reduce to 22205360 relation sets and 20549202 unique ideals
  97. Sat Nov 18 00:56:31 2023 commencing full merge
  98. Sat Nov 18 01:04:39 2023 memory use: 2348.9 MB
  99. Sat Nov 18 01:04:42 2023 found 9869314 cycles, need 9717402
  100. Sat Nov 18 01:04:47 2023 weight of 9717402 cycles is about 1069383091 (110.05/cycle)
  101. Sat Nov 18 01:04:47 2023 distribution of cycle lengths:
  102. Sat Nov 18 01:04:47 2023 1 relations: 752776
  103. Sat Nov 18 01:04:47 2023 2 relations: 681313
  104. Sat Nov 18 01:04:47 2023 3 relations: 702719
  105. Sat Nov 18 01:04:47 2023 4 relations: 701115
  106. Sat Nov 18 01:04:47 2023 5 relations: 703511
  107. Sat Nov 18 01:04:47 2023 6 relations: 692049
  108. Sat Nov 18 01:04:47 2023 7 relations: 664532
  109. Sat Nov 18 01:04:47 2023 8 relations: 637062
  110. Sat Nov 18 01:04:47 2023 9 relations: 595297
  111. Sat Nov 18 01:04:47 2023 10+ relations: 3587028
  112. Sat Nov 18 01:04:47 2023 heaviest cycle: 28 relations
  113. Sat Nov 18 01:04:50 2023 commencing cycle optimization
  114. Sat Nov 18 01:05:12 2023 start with 80501847 relations
  115. Sat Nov 18 01:08:25 2023 pruned 2952002 relations
  116. Sat Nov 18 01:08:25 2023 memory use: 2305.1 MB
  117. Sat Nov 18 01:08:26 2023 distribution of cycle lengths:
  118. Sat Nov 18 01:08:26 2023 1 relations: 752776
  119. Sat Nov 18 01:08:26 2023 2 relations: 696972
  120. Sat Nov 18 01:08:26 2023 3 relations: 729214
  121. Sat Nov 18 01:08:26 2023 4 relations: 725938
  122. Sat Nov 18 01:08:26 2023 5 relations: 733541
  123. Sat Nov 18 01:08:26 2023 6 relations: 718870
  124. Sat Nov 18 01:08:26 2023 7 relations: 692541
  125. Sat Nov 18 01:08:26 2023 8 relations: 659865
  126. Sat Nov 18 01:08:26 2023 9 relations: 615608
  127. Sat Nov 18 01:08:26 2023 10+ relations: 3392077
  128. Sat Nov 18 01:08:26 2023 heaviest cycle: 27 relations
  129. Sat Nov 18 01:08:52 2023 RelProcTime: 7521
  130. Sat Nov 18 01:08:52 2023
  131. Sat Nov 18 01:08:52 2023 commencing linear algebra
  132. Sat Nov 18 01:08:53 2023 read 9717402 cycles
  133. Sat Nov 18 01:09:17 2023 cycles contain 35733329 unique relations
  134. Sat Nov 18 01:12:51 2023 read 35733329 relations
  135. Sat Nov 18 01:14:08 2023 using 20 quadratic characters above 4294917295
  136. Sat Nov 18 01:16:56 2023 building initial matrix
  137. Sat Nov 18 01:24:06 2023 memory use: 4336.3 MB
  138. Sat Nov 18 01:24:13 2023 read 9717402 cycles
  139. Sat Nov 18 01:24:14 2023 matrix is 9717220 x 9717402 (4253.1 MB) with weight 1223016416 (125.86/col)
  140. Sat Nov 18 01:24:14 2023 sparse part has weight 1008027371 (103.73/col)
  141. Sat Nov 18 01:27:14 2023 filtering completed in 2 passes
  142. Sat Nov 18 01:27:16 2023 matrix is 9714005 x 9714187 (4252.7 MB) with weight 1222885005 (125.89/col)
  143. Sat Nov 18 01:27:16 2023 sparse part has weight 1007968044 (103.76/col)
  144. Sat Nov 18 01:27:49 2023 matrix starts at (0, 0)
  145. Sat Nov 18 01:27:50 2023 matrix is 9714005 x 9714187 (4252.7 MB) with weight 1222885005 (125.89/col)
  146. Sat Nov 18 01:27:50 2023 sparse part has weight 1007968044 (103.76/col)
  147. Sat Nov 18 01:27:50 2023 saving the first 112 matrix rows for later
  148. Sat Nov 18 01:27:52 2023 matrix includes 128 packed rows
  149. Sat Nov 18 01:27:55 2023 matrix is 9713893 x 9714187 (3983.2 MB) with weight 976367637 (100.51/col)
  150. Sat Nov 18 01:27:55 2023 sparse part has weight 927611210 (95.49/col)
  151. Sat Nov 18 01:27:55 2023 using block size 8192 and superblock size 1228800 for processor cache size 25600 kB
  152. Sat Nov 18 01:28:33 2023 commencing Lanczos iteration (10 threads)
  153. Sat Nov 18 01:28:33 2023 memory use: 4438.4 MB
  154. Sat Nov 18 01:29:11 2023 linear algebra at 0.0%, ETA 61h57m
  155. Sat Nov 18 01:29:22 2023 checkpointing every 160000 dimensions
  156. Sat Nov 18 10:38:10 2023 lanczos halted after 13536 iterations (dim = 1722312)
  157. Sat Nov 18 10:38:10 2023 BLanczosTime: 34158
  158. Sat Nov 18 10:38:10 2023
  159. Sat Nov 18 10:38:10 2023 commencing square root phase
  160. Sat Nov 18 10:38:10 2023 handling dependencies 1 to 64
  161. Sat Nov 18 10:38:10 2023 reading relations for dependency 1
  162. Sat Nov 18 10:38:10 2023 error: read_cycles can't open dependency file
  163. Sat Nov 18 10:38:46 2023
  164. Sat Nov 18 10:38:46 2023
  165. Sat Nov 18 10:38:46 2023 Msieve v. 1.54 (SVN 1028)
  166. Sat Nov 18 10:38:46 2023 random seeds: 257f268d 9d2dd403
  167. Sat Nov 18 10:38:46 2023 factoring 262659589873664691515462256802783972237031208981211486665180382122980437255014560232473758001899217892912885354353336159744492611114681197182601062896964015637987340669358659889081497201806886500102431 (201 digits)
  168. Sat Nov 18 10:38:47 2023 no P-1/P+1/ECM available, skipping
  169. Sat Nov 18 10:38:47 2023 commencing number field sieve (201-digit input)
  170. Sat Nov 18 10:38:47 2023 R0: 87112285931760246646623899502532662132736
  171. Sat Nov 18 10:38:47 2023 R1: -1
  172. Sat Nov 18 10:38:47 2023 A0: -1
  173. Sat Nov 18 10:38:47 2023 A1: 0
  174. Sat Nov 18 10:38:47 2023 A2: 0
  175. Sat Nov 18 10:38:47 2023 A3: 0
  176. Sat Nov 18 10:38:47 2023 A4: 0
  177. Sat Nov 18 10:38:47 2023 A5: 0
  178. Sat Nov 18 10:38:47 2023 A6: 10
  179. Sat Nov 18 10:38:47 2023 skew 0.88, size 4.291e-12, alpha 1.180, combined = 3.399e-13 rroots = 2
  180. Sat Nov 18 10:38:47 2023
  181. Sat Nov 18 10:38:47 2023 commencing linear algebra
  182. Sat Nov 18 10:38:52 2023 matrix starts at (0, 0)
  183. Sat Nov 18 10:38:54 2023 matrix is 9714005 x 9714187 (4252.7 MB) with weight 1222885005 (125.89/col)
  184. Sat Nov 18 10:38:54 2023 sparse part has weight 1007968044 (103.76/col)
  185. Sat Nov 18 10:38:54 2023 saving the first 112 matrix rows for later
  186. Sat Nov 18 10:38:56 2023 matrix includes 128 packed rows
  187. Sat Nov 18 10:38:58 2023 matrix is 9713893 x 9714187 (3983.2 MB) with weight 976367637 (100.51/col)
  188. Sat Nov 18 10:38:58 2023 sparse part has weight 927611210 (95.49/col)
  189. Sat Nov 18 10:38:58 2023 using block size 8192 and superblock size 1228800 for processor cache size 25600 kB
  190. Sat Nov 18 10:39:30 2023 commencing Lanczos iteration (10 threads)
  191. Sat Nov 18 10:39:30 2023 memory use: 4438.4 MB
  192. Sat Nov 18 10:39:31 2023 restarting at iteration 13536 (dim = 1722312)
  193. Sat Nov 18 10:39:51 2023 linear algebra at 17.7%, ETA 29h 5m
  194. Sat Nov 18 10:39:56 2023 checkpointing every 260000 dimensions
  195. Mon Nov 20 03:27:54 2023 lanczos halted after 76346 iterations (dim = 9713891)
  196. Mon Nov 20 03:28:18 2023 recovered 34 nontrivial dependencies
  197. Mon Nov 20 03:28:18 2023 BLanczosTime: 146971
  198. Mon Nov 20 03:28:18 2023
  199. Mon Nov 20 03:28:18 2023 commencing square root phase
  200. Mon Nov 20 03:28:18 2023 reading relations for dependency 1
  201. Mon Nov 20 03:28:20 2023 read 4854304 cycles
  202. Mon Nov 20 03:28:30 2023 cycles contain 17859328 unique relations
  203. Mon Nov 20 03:30:38 2023 read 17859328 relations
  204. Mon Nov 20 03:32:20 2023 multiplying 17859328 relations
  205. Mon Nov 20 03:46:33 2023 multiply complete, coefficients have about 501.79 million bits
  206. Mon Nov 20 03:46:35 2023 initial square root is modulo 1008613381
  207. Mon Nov 20 04:02:24 2023 GCD is N, no factor found
  208. Mon Nov 20 04:02:24 2023 reading relations for dependency 2
  209. Mon Nov 20 04:02:25 2023 read 4860675 cycles
  210. Mon Nov 20 04:02:37 2023 cycles contain 17876988 unique relations
  211. Mon Nov 20 04:04:43 2023 read 17876988 relations
  212. Mon Nov 20 04:06:21 2023 multiplying 17876988 relations
  213. Mon Nov 20 04:20:45 2023 multiply complete, coefficients have about 502.28 million bits
  214. Mon Nov 20 04:20:47 2023 initial square root is modulo 1029158857
  215. Mon Nov 20 04:36:38 2023 GCD is N, no factor found
  216. Mon Nov 20 04:36:38 2023 reading relations for dependency 3
  217. Mon Nov 20 04:36:39 2023 read 4854281 cycles
  218. Mon Nov 20 04:36:50 2023 cycles contain 17858656 unique relations
  219. Mon Nov 20 04:38:55 2023 read 17858656 relations
  220. Mon Nov 20 04:40:31 2023 multiplying 17858656 relations
  221. Mon Nov 20 04:54:46 2023 multiply complete, coefficients have about 501.76 million bits
  222. Mon Nov 20 04:54:48 2023 initial square root is modulo 1007272993
  223. Mon Nov 20 05:10:33 2023 sqrtTime: 6135
  224. Mon Nov 20 05:10:33 2023 p74 factor: 48604584037036040145587132582507225655498015477709728782907828472572135959
  225. Mon Nov 20 05:10:33 2023 p127 factor: 5404008594611603141348335018255754918728320424210918791944491602021852293123375523842074142904998035105303817803035569700593209
  226. Mon Nov 20 05:10:33 2023 elapsed time 42:31:47
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