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Jun 28th, 2022
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  1. Fri Jun 24 08:47:23 2022
  2. Fri Jun 24 08:47:23 2022
  3. Fri Jun 24 08:47:23 2022 Msieve v. 1.52 (SVN unknown)
  4. Fri Jun 24 08:47:23 2022 random seeds: a5627f80 b31a4af3
  5. Fri Jun 24 08:47:23 2022 factoring 267136507979524605470044357395964682249086243652588091243912977344455967651988338045265512944693533079436212360808029902035582310353325504558218309464460120217516364304443337051340619644876368298145800332116647634660653788114592729385267437199593 (246 digits)
  6. Fri Jun 24 08:47:24 2022 no P-1/P+1/ECM available, skipping
  7. Fri Jun 24 08:47:24 2022 commencing number field sieve (246-digit input)
  8. Fri Jun 24 08:47:24 2022 R0: 44601490397061246283071436545296723011960832
  9. Fri Jun 24 08:47:24 2022 R1: -239299329230617529590083
  10. Fri Jun 24 08:47:24 2022 A0: 1
  11. Fri Jun 24 08:47:24 2022 A1: 0
  12. Fri Jun 24 08:47:24 2022 A2: 0
  13. Fri Jun 24 08:47:24 2022 A3: 0
  14. Fri Jun 24 08:47:24 2022 A4: 0
  15. Fri Jun 24 08:47:24 2022 A5: 0
  16. Fri Jun 24 08:47:24 2022 A6: 576
  17. Fri Jun 24 08:47:24 2022 skew 0.35, size 4.488e-013, alpha 0.124, combined = 6.416e-014 rroots = 0
  18. Fri Jun 24 08:47:24 2022
  19. Fri Jun 24 08:47:24 2022 commencing relation filtering
  20. Fri Jun 24 08:47:24 2022 setting target matrix density to 106.0
  21. Fri Jun 24 08:47:24 2022 estimated available RAM is 130978.7 MB
  22. Fri Jun 24 08:47:24 2022 commencing duplicate removal, pass 1
  23. Fri Jun 24 08:47:41 2022 error -1 reading relation 1791167
  24. Fri Jun 24 08:48:54 2022 error -15 reading relation 9870518
  25. Fri Jun 24 08:49:13 2022 error -9 reading relation 11939037
  26. Fri Jun 24 08:49:31 2022 error -15 reading relation 13923471
  27. Fri Jun 24 08:49:31 2022 error -15 reading relation 13977458
  28. Fri Jun 24 08:49:32 2022 error -15 reading relation 14108543
  29. Fri Jun 24 08:49:33 2022 error -15 reading relation 14135039
  30. Fri Jun 24 09:22:20 2022 error -9 reading relation 232954527
  31. Fri Jun 24 09:22:22 2022 error -9 reading relation 233196686
  32. Fri Jun 24 09:22:29 2022 error -15 reading relation 233976558
  33. Fri Jun 24 09:22:29 2022 error -15 reading relation 234036101
  34. Fri Jun 24 09:22:29 2022 error -9 reading relation 234039502
  35. Fri Jun 24 09:22:31 2022 error -9 reading relation 234233323
  36. Fri Jun 24 09:24:33 2022 skipped 4334 relations with b > 2^32
  37. Fri Jun 24 09:24:33 2022 found 58009577 hash collisions in 247654809 relations
  38. Fri Jun 24 09:24:58 2022 added 1218608 free relations
  39. Fri Jun 24 09:24:58 2022 commencing duplicate removal, pass 2
  40. Fri Jun 24 09:27:11 2022 found 63960773 duplicates and 184912644 unique relations
  41. Fri Jun 24 09:27:11 2022 memory use: 1449.5 MB
  42. Fri Jun 24 09:27:11 2022 reading ideals above 720000
  43. Fri Jun 24 09:27:12 2022 commencing singleton removal, initial pass
  44. Fri Jun 24 10:04:16 2022 memory use: 5512.0 MB
  45. Fri Jun 24 10:04:16 2022 reading all ideals from disk
  46. Fri Jun 24 10:04:19 2022 memory use: 7703.0 MB
  47. Fri Jun 24 10:04:56 2022 keeping 177897899 ideals with weight <= 200, target excess is 988872
  48. Fri Jun 24 10:05:34 2022 commencing in-memory singleton removal
  49. Fri Jun 24 10:06:02 2022 begin with 184912644 relations and 177897899 unique ideals
  50. Fri Jun 24 10:11:14 2022 reduce to 117282886 relations and 103296134 ideals in 17 passes
  51. Fri Jun 24 10:11:14 2022 max relations containing the same ideal: 156
  52. Fri Jun 24 10:12:36 2022 removing 12038182 relations and 10038182 ideals in 2000000 cliques
  53. Fri Jun 24 10:12:40 2022 commencing in-memory singleton removal
  54. Fri Jun 24 10:12:55 2022 begin with 105244704 relations and 103296134 unique ideals
  55. Fri Jun 24 10:15:13 2022 reduce to 104220864 relations and 92211331 ideals in 9 passes
  56. Fri Jun 24 10:15:13 2022 max relations containing the same ideal: 144
  57. Fri Jun 24 10:16:25 2022 removing 9259486 relations and 7259486 ideals in 2000000 cliques
  58. Fri Jun 24 10:16:28 2022 commencing in-memory singleton removal
  59. Fri Jun 24 10:16:42 2022 begin with 94961378 relations and 92211331 unique ideals
  60. Fri Jun 24 10:18:46 2022 reduce to 94272334 relations and 84249272 ideals in 9 passes
  61. Fri Jun 24 10:18:46 2022 max relations containing the same ideal: 133
  62. Fri Jun 24 10:19:52 2022 removing 8432528 relations and 6432528 ideals in 2000000 cliques
  63. Fri Jun 24 10:19:54 2022 commencing in-memory singleton removal
  64. Fri Jun 24 10:20:07 2022 begin with 85839806 relations and 84249272 unique ideals
  65. Fri Jun 24 10:22:10 2022 reduce to 85212196 relations and 77176578 ideals in 10 passes
  66. Fri Jun 24 10:22:10 2022 max relations containing the same ideal: 128
  67. Fri Jun 24 10:23:10 2022 removing 8034193 relations and 6034193 ideals in 2000000 cliques
  68. Fri Jun 24 10:23:12 2022 commencing in-memory singleton removal
  69. Fri Jun 24 10:23:24 2022 begin with 77178003 relations and 77176578 unique ideals
  70. Fri Jun 24 10:24:52 2022 reduce to 76560657 relations and 70511772 ideals in 8 passes
  71. Fri Jun 24 10:24:52 2022 max relations containing the same ideal: 119
  72. Fri Jun 24 10:25:46 2022 removing 7807314 relations and 5807314 ideals in 2000000 cliques
  73. Fri Jun 24 10:25:48 2022 commencing in-memory singleton removal
  74. Fri Jun 24 10:25:58 2022 begin with 68753343 relations and 70511772 unique ideals
  75. Fri Jun 24 10:27:16 2022 reduce to 68116699 relations and 64053104 ideals in 8 passes
  76. Fri Jun 24 10:27:16 2022 max relations containing the same ideal: 109
  77. Fri Jun 24 10:28:04 2022 removing 7677931 relations and 5677931 ideals in 2000000 cliques
  78. Fri Jun 24 10:28:06 2022 commencing in-memory singleton removal
  79. Fri Jun 24 10:28:15 2022 begin with 60438768 relations and 64053104 unique ideals
  80. Fri Jun 24 10:29:23 2022 reduce to 59756602 relations and 57675329 ideals in 8 passes
  81. Fri Jun 24 10:29:23 2022 max relations containing the same ideal: 102
  82. Fri Jun 24 10:30:07 2022 removing 4169006 relations and 3234825 ideals in 934181 cliques
  83. Fri Jun 24 10:30:09 2022 commencing in-memory singleton removal
  84. Fri Jun 24 10:30:17 2022 begin with 55587596 relations and 57675329 unique ideals
  85. Fri Jun 24 10:31:20 2022 reduce to 55376787 relations and 54226797 ideals in 8 passes
  86. Fri Jun 24 10:31:20 2022 max relations containing the same ideal: 94
  87. Fri Jun 24 10:32:09 2022 relations with 0 large ideals: 37424
  88. Fri Jun 24 10:32:09 2022 relations with 1 large ideals: 12461
  89. Fri Jun 24 10:32:09 2022 relations with 2 large ideals: 150944
  90. Fri Jun 24 10:32:09 2022 relations with 3 large ideals: 1049269
  91. Fri Jun 24 10:32:09 2022 relations with 4 large ideals: 4051789
  92. Fri Jun 24 10:32:09 2022 relations with 5 large ideals: 9488942
  93. Fri Jun 24 10:32:09 2022 relations with 6 large ideals: 14087379
  94. Fri Jun 24 10:32:09 2022 relations with 7+ large ideals: 26498579
  95. Fri Jun 24 10:32:09 2022 commencing 2-way merge
  96. Fri Jun 24 10:33:06 2022 reduce to 36498771 relation sets and 35348781 unique ideals
  97. Fri Jun 24 10:33:06 2022 commencing full merge
  98. Fri Jun 24 10:52:29 2022 memory use: 4649.7 MB
  99. Fri Jun 24 10:52:38 2022 found 17145947 cycles, need 17032981
  100. Fri Jun 24 10:52:39 2022 weight of 17032981 cycles is about 1805869723 (106.02/cycle)
  101. Fri Jun 24 10:52:39 2022 distribution of cycle lengths:
  102. Fri Jun 24 10:52:39 2022 1 relations: 1128187
  103. Fri Jun 24 10:52:39 2022 2 relations: 1375517
  104. Fri Jun 24 10:52:39 2022 3 relations: 1486265
  105. Fri Jun 24 10:52:39 2022 4 relations: 1452663
  106. Fri Jun 24 10:52:39 2022 5 relations: 1407358
  107. Fri Jun 24 10:52:39 2022 6 relations: 1332417
  108. Fri Jun 24 10:52:39 2022 7 relations: 1245302
  109. Fri Jun 24 10:52:39 2022 8 relations: 1154313
  110. Fri Jun 24 10:52:39 2022 9 relations: 1046135
  111. Fri Jun 24 10:52:39 2022 10+ relations: 5404824
  112. Fri Jun 24 10:52:39 2022 heaviest cycle: 28 relations
  113. Fri Jun 24 10:53:04 2022 commencing cycle optimization
  114. Fri Jun 24 10:53:36 2022 start with 130656174 relations
  115. Fri Jun 24 10:59:59 2022 pruned 5201081 relations
  116. Fri Jun 24 10:59:59 2022 memory use: 3639.1 MB
  117. Fri Jun 24 10:59:59 2022 distribution of cycle lengths:
  118. Fri Jun 24 10:59:59 2022 1 relations: 1128187
  119. Fri Jun 24 10:59:59 2022 2 relations: 1409184
  120. Fri Jun 24 10:59:59 2022 3 relations: 1549557
  121. Fri Jun 24 10:59:59 2022 4 relations: 1508599
  122. Fri Jun 24 10:59:59 2022 5 relations: 1470399
  123. Fri Jun 24 10:59:59 2022 6 relations: 1383815
  124. Fri Jun 24 10:59:59 2022 7 relations: 1293832
  125. Fri Jun 24 10:59:59 2022 8 relations: 1190536
  126. Fri Jun 24 10:59:59 2022 9 relations: 1075811
  127. Fri Jun 24 10:59:59 2022 10+ relations: 5023061
  128. Fri Jun 24 10:59:59 2022 heaviest cycle: 28 relations
  129. Fri Jun 24 11:00:40 2022 RelProcTime: 7996
  130. Fri Jun 24 11:00:40 2022
  131. Fri Jun 24 11:00:40 2022 commencing linear algebra
  132. Fri Jun 24 11:00:44 2022 read 17032981 cycles
  133. Fri Jun 24 11:01:22 2022 cycles contain 54690100 unique relations
  134. Fri Jun 24 11:10:18 2022 read 54690100 relations
  135. Fri Jun 24 11:12:08 2022 using 20 quadratic characters above 2147482878
  136. Fri Jun 24 11:16:09 2022 building initial matrix
  137. Fri Jun 24 11:27:10 2022 memory use: 6915.0 MB
  138. Fri Jun 24 11:27:33 2022 read 17032981 cycles
  139. Fri Jun 24 11:27:39 2022 matrix is 17032804 x 17032981 (7215.2 MB) with weight 2072412596 (121.67/col)
  140. Fri Jun 24 11:27:39 2022 sparse part has weight 1704058770 (100.04/col)
  141. Fri Jun 24 11:32:57 2022 filtering completed in 2 passes
  142. Fri Jun 24 11:33:02 2022 matrix is 17031570 x 17031747 (7215.1 MB) with weight 2072372611 (121.68/col)
  143. Fri Jun 24 11:33:02 2022 sparse part has weight 1704045223 (100.05/col)
  144. Fri Jun 24 11:34:19 2022 matrix starts at (0, 0)
  145. Fri Jun 24 11:34:24 2022 matrix is 17031570 x 17031747 (7215.1 MB) with weight 2072372611 (121.68/col)
  146. Fri Jun 24 11:34:24 2022 sparse part has weight 1704045223 (100.05/col)
  147. Fri Jun 24 11:34:24 2022 saving the first 48 matrix rows for later
  148. Fri Jun 24 11:34:30 2022 matrix includes 64 packed rows
  149. Fri Jun 24 11:34:33 2022 matrix is 17031522 x 17031747 (6942.7 MB) with weight 1766904414 (103.74/col)
  150. Fri Jun 24 11:34:33 2022 sparse part has weight 1649666293 (96.86/col)
  151. Fri Jun 24 11:34:33 2022 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  152. Fri Jun 24 11:36:17 2022 commencing Lanczos iteration (24 threads)
  153. Fri Jun 24 11:36:17 2022 memory use: 5969.5 MB
  154. Fri Jun 24 11:36:52 2022 linear algebra at 0.0%, ETA 102h58m
  155. Fri Jun 24 11:37:03 2022 checkpointing every 170000 dimensions
  156. Tue Jun 28 08:07:48 2022
  157. Tue Jun 28 08:07:48 2022
  158. Tue Jun 28 08:07:48 2022 Msieve v. 1.52 (SVN unknown)
  159. Tue Jun 28 08:07:48 2022 random seeds: 53d528e0 c68b865f
  160. Tue Jun 28 08:07:48 2022 factoring 267136507979524605470044357395964682249086243652588091243912977344455967651988338045265512944693533079436212360808029902035582310353325504558218309464460120217516364304443337051340619644876368298145800332116647634660653788114592729385267437199593 (246 digits)
  161. Tue Jun 28 08:07:49 2022 no P-1/P+1/ECM available, skipping
  162. Tue Jun 28 08:07:49 2022 commencing number field sieve (246-digit input)
  163. Tue Jun 28 08:07:49 2022 R0: 44601490397061246283071436545296723011960832
  164. Tue Jun 28 08:07:49 2022 R1: -239299329230617529590083
  165. Tue Jun 28 08:07:49 2022 A0: 1
  166. Tue Jun 28 08:07:49 2022 A1: 0
  167. Tue Jun 28 08:07:49 2022 A2: 0
  168. Tue Jun 28 08:07:49 2022 A3: 0
  169. Tue Jun 28 08:07:49 2022 A4: 0
  170. Tue Jun 28 08:07:49 2022 A5: 0
  171. Tue Jun 28 08:07:49 2022 A6: 576
  172. Tue Jun 28 08:07:49 2022 skew 0.35, size 4.488e-013, alpha 0.124, combined = 6.416e-014 rroots = 0
  173. Tue Jun 28 08:07:49 2022
  174. Tue Jun 28 08:07:49 2022 commencing linear algebra
  175. Tue Jun 28 08:08:06 2022 matrix starts at (0, 0)
  176. Tue Jun 28 08:08:11 2022 matrix is 17031570 x 17031747 (7215.1 MB) with weight 2072372611 (121.68/col)
  177. Tue Jun 28 08:08:11 2022 sparse part has weight 1704045223 (100.05/col)
  178. Tue Jun 28 08:08:11 2022 saving the first 48 matrix rows for later
  179. Tue Jun 28 08:08:17 2022 matrix includes 64 packed rows
  180. Tue Jun 28 08:08:20 2022 matrix is 17031522 x 17031747 (6942.7 MB) with weight 1766904414 (103.74/col)
  181. Tue Jun 28 08:08:20 2022 sparse part has weight 1649666293 (96.86/col)
  182. Tue Jun 28 08:08:20 2022 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  183. Tue Jun 28 08:10:01 2022 commencing Lanczos iteration (24 threads)
  184. Tue Jun 28 08:10:01 2022 memory use: 5969.5 MB
  185. Tue Jun 28 08:10:02 2022 restarting at iteration 266149 (dim = 16830059)
  186. Tue Jun 28 08:10:31 2022 linear algebra at 98.8%, ETA 1h 4m
  187. Tue Jun 28 08:10:40 2022 checkpointing every 190000 dimensions
  188. Tue Jun 28 09:11:35 2022 lanczos halted after 269336 iterations (dim = 17031518)
  189. Tue Jun 28 09:11:50 2022 recovered 37 nontrivial dependencies
  190. Tue Jun 28 09:11:58 2022 BLanczosTime: 3849
  191. Tue Jun 28 09:11:58 2022
  192. Tue Jun 28 09:11:58 2022 commencing square root phase
  193. Tue Jun 28 09:11:58 2022 reading relations for dependency 1
  194. Tue Jun 28 09:12:02 2022 read 8515723 cycles
  195. Tue Jun 28 09:12:20 2022 cycles contain 27351858 unique relations
  196. Tue Jun 28 09:17:28 2022 read 27351858 relations
  197. Tue Jun 28 09:20:29 2022 multiplying 27351858 relations
  198. Tue Jun 28 09:52:24 2022 multiply complete, coefficients have about 947.16 million bits
  199. Tue Jun 28 09:52:35 2022 initial square root is modulo 314382091
  200. Tue Jun 28 10:31:11 2022 sqrtTime: 4753
  201. Tue Jun 28 10:31:11 2022 prp118 factor: 1052978866100786783025717446683389141645216850859679864279830521030784425545763029752356216472416249402265353580312537
  202. Tue Jun 28 10:31:11 2022 prp129 factor: 253695982492734477662396802193406438653399139131193041760698837036830073494160554159570100288573666666944934502969304587536537489
  203. Tue Jun 28 10:31:11 2022 elapsed time 02:23:23
  204.  
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