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Apr 2nd, 2023
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  1. Wed Mar 29 07:39:06 2023 Msieve v. 1.54 (SVN unknown)
  2. Wed Mar 29 07:39:06 2023 random seeds: 266acca3 d85d6015
  3. Wed Mar 29 07:39:06 2023 factoring 1956689995402140144350643115160304853446289537855902948321989328444522576096073948567087512457916205824604060776797455167347437012046263578157726800245116144551902064017 (169 digits)
  4. Wed Mar 29 07:39:07 2023 searching for 15-digit factors
  5. Wed Mar 29 07:39:08 2023 commencing number field sieve (169-digit input)
  6. Wed Mar 29 07:39:08 2023 R0: -429218921491112712379135131603175
  7. Wed Mar 29 07:39:08 2023 R1: 465868830710400601
  8. Wed Mar 29 07:39:08 2023 A0: -437657124251901965755696853027705227703808
  9. Wed Mar 29 07:39:08 2023 A1: 147021093278383456450784471922726924
  10. Wed Mar 29 07:39:08 2023 A2: 4558919328298127240285813410
  11. Wed Mar 29 07:39:08 2023 A3: -557366926354663252240
  12. Wed Mar 29 07:39:08 2023 A4: -5735904315617
  13. Wed Mar 29 07:39:08 2023 A5: 134316
  14. Wed Mar 29 07:39:08 2023 skew 30640810.19, size 1.800e-16, alpha -7.409, combined = 4.073e-13 rroots = 5
  15. Wed Mar 29 07:39:08 2023
  16. Wed Mar 29 07:39:08 2023 commencing relation filtering
  17. Wed Mar 29 07:39:08 2023 setting target matrix density to 110.0
  18. Wed Mar 29 07:39:08 2023 estimated available RAM is 15536.6 MB
  19. Wed Mar 29 07:39:08 2023 commencing duplicate removal, pass 1
  20. Wed Mar 29 07:39:46 2023 error -9 reading relation 11222157
  21. Wed Mar 29 07:39:48 2023 error -9 reading relation 11808263
  22. Wed Mar 29 07:39:50 2023 error -9 reading relation 12625882
  23. Wed Mar 29 07:40:20 2023 error -9 reading relation 24704109
  24. Wed Mar 29 07:40:28 2023 error -5 reading relation 27682189
  25. Wed Mar 29 07:40:29 2023 error -9 reading relation 28263543
  26. Wed Mar 29 07:40:37 2023 error -15 reading relation 31443009
  27. Wed Mar 29 07:40:45 2023 error -15 reading relation 34601875
  28. Wed Mar 29 07:41:09 2023 error -15 reading relation 44036879
  29. Wed Mar 29 07:41:10 2023 error -15 reading relation 44631483
  30. Wed Mar 29 07:41:34 2023 error -15 reading relation 54271999
  31. Wed Mar 29 07:41:50 2023 error -9 reading relation 60502899
  32. Wed Mar 29 07:42:19 2023 error -15 reading relation 71742026
  33. Wed Mar 29 07:42:27 2023 error -15 reading relation 74890142
  34. Wed Mar 29 07:42:28 2023 error -9 reading relation 75458771
  35. Wed Mar 29 07:42:36 2023 error -15 reading relation 78626374
  36. Wed Mar 29 07:42:42 2023 error -9 reading relation 81141142
  37. Wed Mar 29 07:42:45 2023 error -1 reading relation 82321423
  38. Wed Mar 29 07:42:49 2023 error -15 reading relation 83691241
  39. Wed Mar 29 07:42:50 2023 error -9 reading relation 84048189
  40. Wed Mar 29 07:42:50 2023 error -1 reading relation 84262319
  41. Wed Mar 29 07:42:57 2023 error -15 reading relation 86908485
  42. Wed Mar 29 07:43:43 2023 error -9 reading relation 105385633
  43. Wed Mar 29 07:43:43 2023 error -1 reading relation 105422670
  44. Wed Mar 29 07:43:45 2023 error -15 reading relation 105885811
  45. Wed Mar 29 07:43:45 2023 error -15 reading relation 105888518
  46. Wed Mar 29 07:43:45 2023 error -1 reading relation 106075193
  47. Wed Mar 29 07:43:48 2023 error -9 reading relation 107400052
  48. Wed Mar 29 07:44:12 2023 error -15 reading relation 116723583
  49. Wed Mar 29 07:44:18 2023 error -15 reading relation 119211196
  50. Wed Mar 29 07:44:19 2023 skipped 17 relations with composite factors
  51. Wed Mar 29 07:44:19 2023 found 29229728 hash collisions in 119527010 relations
  52. Wed Mar 29 07:44:58 2023 commencing duplicate removal, pass 2
  53. Wed Mar 29 07:48:37 2023 found 31634158 duplicates and 87892852 unique relations
  54. Wed Mar 29 07:48:37 2023 memory use: 724.8 MB
  55. Wed Mar 29 07:48:37 2023 reading ideals above 89325568
  56. Wed Mar 29 07:48:37 2023 commencing singleton removal, initial pass
  57. Wed Mar 29 07:53:02 2023 memory use: 1506.0 MB
  58. Wed Mar 29 07:53:02 2023 reading all ideals from disk
  59. Wed Mar 29 07:53:03 2023 memory use: 2289.8 MB
  60. Wed Mar 29 07:53:07 2023 commencing in-memory singleton removal
  61. Wed Mar 29 07:53:09 2023 begin with 87892852 relations and 78995172 unique ideals
  62. Wed Mar 29 07:53:16 2023 reduce to 49963329 relations and 36534728 ideals in 15 passes
  63. Wed Mar 29 07:53:16 2023 max relations containing the same ideal: 28
  64. Wed Mar 29 07:53:18 2023 reading ideals above 720000
  65. Wed Mar 29 07:53:18 2023 commencing singleton removal, initial pass
  66. Wed Mar 29 07:57:21 2023 memory use: 1378.0 MB
  67. Wed Mar 29 07:57:21 2023 reading all ideals from disk
  68. Wed Mar 29 07:57:22 2023 memory use: 2296.6 MB
  69. Wed Mar 29 07:57:27 2023 keeping 46625715 ideals with weight <= 200, target excess is 266489
  70. Wed Mar 29 07:57:36 2023 commencing in-memory singleton removal
  71. Wed Mar 29 07:57:41 2023 begin with 49963329 relations and 46625715 unique ideals
  72. Wed Mar 29 07:57:54 2023 reduce to 49885564 relations and 46547934 ideals in 12 passes
  73. Wed Mar 29 07:57:54 2023 max relations containing the same ideal: 200
  74. Wed Mar 29 07:58:13 2023 removing 3343373 relations and 2943373 ideals in 400000 cliques
  75. Wed Mar 29 07:58:16 2023 commencing in-memory singleton removal
  76. Wed Mar 29 07:58:20 2023 begin with 46542191 relations and 46547934 unique ideals
  77. Wed Mar 29 07:58:30 2023 reduce to 46377285 relations and 43437808 ideals in 8 passes
  78. Wed Mar 29 07:58:30 2023 max relations containing the same ideal: 197
  79. Wed Mar 29 07:58:46 2023 removing 2488455 relations and 2088455 ideals in 400000 cliques
  80. Wed Mar 29 07:58:47 2023 commencing in-memory singleton removal
  81. Wed Mar 29 07:58:51 2023 begin with 43888830 relations and 43437808 unique ideals
  82. Wed Mar 29 07:58:59 2023 reduce to 43786517 relations and 41246123 ideals in 7 passes
  83. Wed Mar 29 07:58:59 2023 max relations containing the same ideal: 191
  84. Wed Mar 29 07:59:14 2023 removing 2216642 relations and 1816642 ideals in 400000 cliques
  85. Wed Mar 29 07:59:16 2023 commencing in-memory singleton removal
  86. Wed Mar 29 07:59:18 2023 begin with 41569875 relations and 41246123 unique ideals
  87. Wed Mar 29 07:59:29 2023 reduce to 41483281 relations and 39342141 ideals in 9 passes
  88. Wed Mar 29 07:59:29 2023 max relations containing the same ideal: 184
  89. Wed Mar 29 07:59:43 2023 removing 2067315 relations and 1667315 ideals in 400000 cliques
  90. Wed Mar 29 07:59:44 2023 commencing in-memory singleton removal
  91. Wed Mar 29 07:59:47 2023 begin with 39415966 relations and 39342141 unique ideals
  92. Wed Mar 29 07:59:52 2023 reduce to 39336509 relations and 37594648 ideals in 8 passes
  93. Wed Mar 29 07:59:52 2023 max relations containing the same ideal: 179
  94. Wed Mar 29 08:00:05 2023 removing 1970405 relations and 1570405 ideals in 400000 cliques
  95. Wed Mar 29 08:00:06 2023 commencing in-memory singleton removal
  96. Wed Mar 29 08:00:09 2023 begin with 37366104 relations and 37594648 unique ideals
  97. Wed Mar 29 08:00:17 2023 reduce to 37289405 relations and 35946852 ideals in 7 passes
  98. Wed Mar 29 08:00:17 2023 max relations containing the same ideal: 174
  99. Wed Mar 29 08:00:31 2023 removing 1902139 relations and 1502139 ideals in 400000 cliques
  100. Wed Mar 29 08:00:33 2023 commencing in-memory singleton removal
  101. Wed Mar 29 08:00:36 2023 begin with 35387266 relations and 35946852 unique ideals
  102. Wed Mar 29 08:00:42 2023 reduce to 35311917 relations and 34368638 ideals in 8 passes
  103. Wed Mar 29 08:00:42 2023 max relations containing the same ideal: 167
  104. Wed Mar 29 08:00:54 2023 removing 1857112 relations and 1457112 ideals in 400000 cliques
  105. Wed Mar 29 08:00:55 2023 commencing in-memory singleton removal
  106. Wed Mar 29 08:00:57 2023 begin with 33454805 relations and 34368638 unique ideals
  107. Wed Mar 29 08:01:01 2023 reduce to 33378522 relations and 32834417 ideals in 8 passes
  108. Wed Mar 29 08:01:01 2023 max relations containing the same ideal: 161
  109. Wed Mar 29 08:01:13 2023 removing 1166829 relations and 931852 ideals in 234977 cliques
  110. Wed Mar 29 08:01:14 2023 commencing in-memory singleton removal
  111. Wed Mar 29 08:01:16 2023 begin with 32211693 relations and 32834417 unique ideals
  112. Wed Mar 29 08:01:19 2023 reduce to 32181267 relations and 31871946 ideals in 6 passes
  113. Wed Mar 29 08:01:19 2023 max relations containing the same ideal: 158
  114. Wed Mar 29 08:01:38 2023 relations with 0 large ideals: 814
  115. Wed Mar 29 08:01:38 2023 relations with 1 large ideals: 1116
  116. Wed Mar 29 08:01:38 2023 relations with 2 large ideals: 18383
  117. Wed Mar 29 08:01:38 2023 relations with 3 large ideals: 180400
  118. Wed Mar 29 08:01:38 2023 relations with 4 large ideals: 988341
  119. Wed Mar 29 08:01:38 2023 relations with 5 large ideals: 3246329
  120. Wed Mar 29 08:01:38 2023 relations with 6 large ideals: 6773137
  121. Wed Mar 29 08:01:38 2023 relations with 7+ large ideals: 20972747
  122. Wed Mar 29 08:01:38 2023 commencing 2-way merge
  123. Wed Mar 29 08:02:06 2023 reduce to 21171275 relation sets and 20861954 unique ideals
  124. Wed Mar 29 08:02:06 2023 commencing full merge
  125. Wed Mar 29 08:13:32 2023 memory use: 2530.0 MB
  126. Wed Mar 29 08:13:35 2023 found 9673058 cycles, need 9660154
  127. Wed Mar 29 08:13:41 2023 weight of 9660154 cycles is about 1062670165 (110.01/cycle)
  128. Wed Mar 29 08:13:41 2023 distribution of cycle lengths:
  129. Wed Mar 29 08:13:41 2023 1 relations: 549419
  130. Wed Mar 29 08:13:41 2023 2 relations: 776161
  131. Wed Mar 29 08:13:41 2023 3 relations: 867226
  132. Wed Mar 29 08:13:41 2023 4 relations: 840036
  133. Wed Mar 29 08:13:41 2023 5 relations: 802670
  134. Wed Mar 29 08:13:41 2023 6 relations: 750678
  135. Wed Mar 29 08:13:41 2023 7 relations: 691007
  136. Wed Mar 29 08:13:41 2023 8 relations: 631288
  137. Wed Mar 29 08:13:41 2023 9 relations: 567458
  138. Wed Mar 29 08:13:41 2023 10+ relations: 3184211
  139. Wed Mar 29 08:13:41 2023 heaviest cycle: 28 relations
  140. Wed Mar 29 08:13:44 2023 commencing cycle optimization
  141. Wed Mar 29 08:14:17 2023 start with 76601894 relations
  142. Wed Mar 29 08:18:37 2023 pruned 3029528 relations
  143. Wed Mar 29 08:18:38 2023 memory use: 2130.1 MB
  144. Wed Mar 29 08:18:38 2023 distribution of cycle lengths:
  145. Wed Mar 29 08:18:38 2023 1 relations: 549419
  146. Wed Mar 29 08:18:38 2023 2 relations: 798771
  147. Wed Mar 29 08:18:38 2023 3 relations: 907831
  148. Wed Mar 29 08:18:38 2023 4 relations: 873423
  149. Wed Mar 29 08:18:38 2023 5 relations: 837928
  150. Wed Mar 29 08:18:38 2023 6 relations: 776206
  151. Wed Mar 29 08:18:38 2023 7 relations: 713787
  152. Wed Mar 29 08:18:38 2023 8 relations: 645975
  153. Wed Mar 29 08:18:38 2023 9 relations: 578603
  154. Wed Mar 29 08:18:38 2023 10+ relations: 2978211
  155. Wed Mar 29 08:18:38 2023 heaviest cycle: 28 relations
  156. Wed Mar 29 08:19:01 2023 RelProcTime: 2393
  157. Wed Mar 29 08:19:04 2023
  158. Wed Mar 29 08:19:04 2023 commencing linear algebra
  159. Wed Mar 29 08:19:04 2023 using VBITS=256
  160. Wed Mar 29 08:19:06 2023 read 9660154 cycles
  161. Wed Mar 29 08:19:37 2023 cycles contain 31992424 unique relations
  162. Wed Mar 29 08:21:47 2023 read 31992424 relations
  163. Wed Mar 29 08:21:55 2023 using 20 quadratic characters above 4294917295
  164. Wed Mar 29 08:22:18 2023 building initial matrix
  165. Wed Mar 29 08:35:05 2023 memory use: 4358.2 MB
  166. Wed Mar 29 08:35:22 2023 read 9660154 cycles
  167. Wed Mar 29 08:35:25 2023 matrix is 9659976 x 9660154 (4248.6 MB) with weight 1301582514 (134.74/col)
  168. Wed Mar 29 08:35:25 2023 sparse part has weight 997819540 (103.29/col)
  169. Wed Mar 29 08:38:20 2023 filtering completed in 2 passes
  170. Wed Mar 29 08:38:23 2023 matrix is 9659781 x 9659959 (4248.6 MB) with weight 1301574370 (134.74/col)
  171. Wed Mar 29 08:38:23 2023 sparse part has weight 997817944 (103.29/col)
  172. Wed Mar 29 08:39:20 2023 matrix starts at (0, 0)
  173. Wed Mar 29 08:39:22 2023 matrix is 9659781 x 9659959 (4248.6 MB) with weight 1301574370 (134.74/col)
  174. Wed Mar 29 08:39:22 2023 sparse part has weight 997817944 (103.29/col)
  175. Wed Mar 29 08:39:22 2023 saving the first 240 matrix rows for later
  176. Wed Mar 29 08:39:27 2023 matrix includes 256 packed rows
  177. Wed Mar 29 08:39:33 2023 matrix is 9659541 x 9659959 (3843.1 MB) with weight 912256452 (94.44/col)
  178. Wed Mar 29 08:39:33 2023 sparse part has weight 852873634 (88.29/col)
  179. Wed Mar 29 08:39:33 2023 using block size 8192 and superblock size 878592 for processor cache size 36608 kB
  180. Wed Mar 29 08:40:15 2023 commencing Lanczos iteration (8 threads)
  181. Wed Mar 29 08:40:15 2023 memory use: 5395.0 MB
  182. Wed Mar 29 08:48:01 2023 linear algebra at 0.3%, ETA 40h 0m
  183. Wed Mar 29 08:59:26 2023 checking every 10000 dimensions, checkpointing every 250000 dimensions
  184. Fri Mar 31 00:39:04 2023 lanczos halted after 37847 iterations (dim = 9659541)
  185. Fri Mar 31 00:39:52 2023 recovered 31 nontrivial dependencies
  186. Fri Mar 31 00:39:53 2023 BLanczosTime: 145249
  187. Fri Mar 31 00:39:53 2023
  188. Fri Mar 31 00:39:53 2023 commencing square root phase
  189. Fri Mar 31 00:39:53 2023 handling dependencies 1 to 64
  190. Fri Mar 31 00:39:53 2023 reading relations for dependency 1
  191. Fri Mar 31 00:39:55 2023 read 4831195 cycles
  192. Fri Mar 31 00:40:11 2023 cycles contain 16004702 unique relations
  193. Fri Mar 31 00:43:02 2023 read 16004702 relations
  194. Fri Mar 31 00:44:20 2023 multiplying 16004702 relations
  195. Fri Mar 31 00:55:48 2023 multiply complete, coefficients have about 879.46 million bits
  196. Fri Mar 31 00:55:51 2023 initial square root is modulo 77645327
  197. Fri Mar 31 01:04:56 2023 sqrtTime: 1503
  198. Fri Mar 31 01:04:56 2023 p52 factor: 8258617799741102568911209983162864691163159453508893
  199. Fri Mar 31 01:04:56 2023 p117 factor: 236927055210555929867596968430499353854789677382386065542653483927657992775021587937622088520953182838237076082852869
  200. Fri Mar 31 01:04:56 2023 elapsed time 41:25:50
  201.  
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