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Jun 14th, 2021
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  1. Sun Jun 13 11:50:25 2021
  2. Sun Jun 13 11:50:25 2021
  3. Sun Jun 13 11:50:25 2021 Msieve v. 1.54 (SVN 1025)
  4. Sun Jun 13 11:50:25 2021 random seeds: 562d23f6 cdc9f66a
  5. Sun Jun 13 11:50:25 2021 factoring 372955720404756680934344667473617512055936489932557982918212685959195395671193668276052814493583483405426866565043251443244686701330419349769805867024872896964213717879884803046549628289676261 (192 digits)
  6. Sun Jun 13 11:50:26 2021 searching for 15-digit factors
  7. Sun Jun 13 11:50:26 2021 commencing number field sieve (192-digit input)
  8. Sun Jun 13 11:50:26 2021 R0: 197497878855069348178855907700459528650
  9. Sun Jun 13 11:50:26 2021 R1: -14053393855402663843
  10. Sun Jun 13 11:50:26 2021 A0: -1
  11. Sun Jun 13 11:50:26 2021 A1: 3
  12. Sun Jun 13 11:50:26 2021 A2: 6
  13. Sun Jun 13 11:50:26 2021 A3: -4
  14. Sun Jun 13 11:50:26 2021 A4: -5
  15. Sun Jun 13 11:50:26 2021 A5: 1
  16. Sun Jun 13 11:50:26 2021 A6: 1
  17. Sun Jun 13 11:50:26 2021 skew 1.00, size 2.577e-11, alpha 3.126, combined = 1.243e-12 rroots = 6
  18. Sun Jun 13 11:50:26 2021
  19. Sun Jun 13 11:50:26 2021 commencing relation filtering
  20. Sun Jun 13 11:50:26 2021 setting target matrix density to 120.0
  21. Sun Jun 13 11:50:26 2021 estimated available RAM is 15984.6 MB
  22. Sun Jun 13 11:50:26 2021 commencing duplicate removal, pass 1
  23. Sun Jun 13 11:55:42 2021 error -15 reading relation 34446640
  24. Sun Jun 13 12:05:10 2021 error -15 reading relation 92530101
  25. Sun Jun 13 12:09:43 2021 skipped 9 relations with b > 2^32
  26. Sun Jun 13 12:09:43 2021 skipped 3 relations with composite factors
  27. Sun Jun 13 12:09:43 2021 found 5786828 hash collisions in 115492339 relations
  28. Sun Jun 13 12:09:43 2021 commencing duplicate removal, pass 2
  29. Sun Jun 13 12:10:27 2021 found 0 duplicates and 115492339 unique relations
  30. Sun Jun 13 12:10:27 2021 memory use: 378.4 MB
  31. Sun Jun 13 12:10:27 2021 reading ideals above 91684864
  32. Sun Jun 13 12:10:27 2021 commencing singleton removal, initial pass
  33. Sun Jun 13 12:24:45 2021 memory use: 2756.0 MB
  34. Sun Jun 13 12:24:45 2021 reading all ideals from disk
  35. Sun Jun 13 12:24:47 2021 memory use: 1912.4 MB
  36. Sun Jun 13 12:24:52 2021 commencing in-memory singleton removal
  37. Sun Jun 13 12:24:57 2021 begin with 115492339 relations and 83927248 unique ideals
  38. Sun Jun 13 12:25:45 2021 reduce to 85935839 relations and 52044816 ideals in 11 passes
  39. Sun Jun 13 12:25:45 2021 max relations containing the same ideal: 50
  40. Sun Jun 13 12:25:49 2021 reading ideals above 720000
  41. Sun Jun 13 12:25:50 2021 commencing singleton removal, initial pass
  42. Sun Jun 13 12:39:22 2021 memory use: 1506.0 MB
  43. Sun Jun 13 12:39:22 2021 reading all ideals from disk
  44. Sun Jun 13 12:39:29 2021 memory use: 3228.9 MB
  45. Sun Jun 13 12:39:40 2021 keeping 62218249 ideals with weight <= 200, target excess is 444821
  46. Sun Jun 13 12:39:52 2021 commencing in-memory singleton removal
  47. Sun Jun 13 12:40:01 2021 begin with 85935840 relations and 62218249 unique ideals
  48. Sun Jun 13 12:40:27 2021 reduce to 85935568 relations and 62217976 ideals in 3 passes
  49. Sun Jun 13 12:40:27 2021 max relations containing the same ideal: 200
  50. Sun Jun 13 12:41:08 2021 removing 7578690 relations and 5578690 ideals in 2000000 cliques
  51. Sun Jun 13 12:41:11 2021 commencing in-memory singleton removal
  52. Sun Jun 13 12:41:20 2021 begin with 78356878 relations and 62217976 unique ideals
  53. Sun Jun 13 12:42:15 2021 reduce to 77805946 relations and 56072752 ideals in 7 passes
  54. Sun Jun 13 12:42:15 2021 max relations containing the same ideal: 196
  55. Sun Jun 13 12:42:52 2021 removing 6169889 relations and 4169889 ideals in 2000000 cliques
  56. Sun Jun 13 12:42:54 2021 commencing in-memory singleton removal
  57. Sun Jun 13 12:43:00 2021 begin with 71636057 relations and 56072752 unique ideals
  58. Sun Jun 13 12:43:31 2021 reduce to 71256341 relations and 51513217 ideals in 6 passes
  59. Sun Jun 13 12:43:31 2021 max relations containing the same ideal: 187
  60. Sun Jun 13 12:43:55 2021 removing 5760046 relations and 3760046 ideals in 2000000 cliques
  61. Sun Jun 13 12:43:56 2021 commencing in-memory singleton removal
  62. Sun Jun 13 12:44:01 2021 begin with 65496295 relations and 51513217 unique ideals
  63. Sun Jun 13 12:44:28 2021 reduce to 65163727 relations and 47411728 ideals in 6 passes
  64. Sun Jun 13 12:44:28 2021 max relations containing the same ideal: 176
  65. Sun Jun 13 12:44:49 2021 removing 5539290 relations and 3539290 ideals in 2000000 cliques
  66. Sun Jun 13 12:44:51 2021 commencing in-memory singleton removal
  67. Sun Jun 13 12:44:55 2021 begin with 59624437 relations and 47411728 unique ideals
  68. Sun Jun 13 12:45:19 2021 reduce to 59306802 relations and 43545998 ideals in 6 passes
  69. Sun Jun 13 12:45:19 2021 max relations containing the same ideal: 166
  70. Sun Jun 13 12:45:40 2021 removing 5406587 relations and 3406587 ideals in 2000000 cliques
  71. Sun Jun 13 12:45:41 2021 commencing in-memory singleton removal
  72. Sun Jun 13 12:45:45 2021 begin with 53900215 relations and 43545998 unique ideals
  73. Sun Jun 13 12:46:08 2021 reduce to 53588715 relations and 39818504 ideals in 7 passes
  74. Sun Jun 13 12:46:08 2021 max relations containing the same ideal: 157
  75. Sun Jun 13 12:46:28 2021 removing 5314117 relations and 3314117 ideals in 2000000 cliques
  76. Sun Jun 13 12:46:29 2021 commencing in-memory singleton removal
  77. Sun Jun 13 12:46:33 2021 begin with 48274598 relations and 39818504 unique ideals
  78. Sun Jun 13 12:46:56 2021 reduce to 47957663 relations and 36177240 ideals in 7 passes
  79. Sun Jun 13 12:46:56 2021 max relations containing the same ideal: 144
  80. Sun Jun 13 12:47:14 2021 removing 5246596 relations and 3246596 ideals in 2000000 cliques
  81. Sun Jun 13 12:47:15 2021 commencing in-memory singleton removal
  82. Sun Jun 13 12:47:18 2021 begin with 42711067 relations and 36177240 unique ideals
  83. Sun Jun 13 12:47:36 2021 reduce to 42380452 relations and 32588272 ideals in 6 passes
  84. Sun Jun 13 12:47:36 2021 max relations containing the same ideal: 137
  85. Sun Jun 13 12:47:51 2021 removing 5200046 relations and 3200046 ideals in 2000000 cliques
  86. Sun Jun 13 12:47:53 2021 commencing in-memory singleton removal
  87. Sun Jun 13 12:47:55 2021 begin with 37180406 relations and 32588272 unique ideals
  88. Sun Jun 13 12:48:09 2021 reduce to 36827199 relations and 29021221 ideals in 6 passes
  89. Sun Jun 13 12:48:09 2021 max relations containing the same ideal: 121
  90. Sun Jun 13 12:48:21 2021 removing 5162735 relations and 3162735 ideals in 2000000 cliques
  91. Sun Jun 13 12:48:22 2021 commencing in-memory singleton removal
  92. Sun Jun 13 12:48:24 2021 begin with 31664464 relations and 29021221 unique ideals
  93. Sun Jun 13 12:48:35 2021 reduce to 31278586 relations and 25455194 ideals in 6 passes
  94. Sun Jun 13 12:48:35 2021 max relations containing the same ideal: 110
  95. Sun Jun 13 12:48:46 2021 removing 5130436 relations and 3130436 ideals in 2000000 cliques
  96. Sun Jun 13 12:48:47 2021 commencing in-memory singleton removal
  97. Sun Jun 13 12:48:48 2021 begin with 26148150 relations and 25455194 unique ideals
  98. Sun Jun 13 12:48:58 2021 reduce to 25714772 relations and 21868792 ideals in 6 passes
  99. Sun Jun 13 12:48:58 2021 max relations containing the same ideal: 94
  100. Sun Jun 13 12:49:06 2021 removing 5096636 relations and 3096636 ideals in 2000000 cliques
  101. Sun Jun 13 12:49:08 2021 commencing in-memory singleton removal
  102. Sun Jun 13 12:49:09 2021 begin with 20618136 relations and 21868792 unique ideals
  103. Sun Jun 13 12:49:18 2021 reduce to 20098396 relations and 18220158 ideals in 8 passes
  104. Sun Jun 13 12:49:18 2021 max relations containing the same ideal: 76
  105. Sun Jun 13 12:49:25 2021 removing 3646423 relations and 2284178 ideals in 1362246 cliques
  106. Sun Jun 13 12:49:26 2021 commencing in-memory singleton removal
  107. Sun Jun 13 12:49:27 2021 begin with 16451973 relations and 18220158 unique ideals
  108. Sun Jun 13 12:49:35 2021 reduce to 16019032 relations and 15477290 ideals in 8 passes
  109. Sun Jun 13 12:49:35 2021 max relations containing the same ideal: 68
  110. Sun Jun 13 12:49:40 2021 removing 135865 relations and 110116 ideals in 25749 cliques
  111. Sun Jun 13 12:49:41 2021 commencing in-memory singleton removal
  112. Sun Jun 13 12:49:42 2021 begin with 15883167 relations and 15477290 unique ideals
  113. Sun Jun 13 12:49:46 2021 reduce to 15882043 relations and 15366046 ideals in 5 passes
  114. Sun Jun 13 12:49:46 2021 max relations containing the same ideal: 68
  115. Sun Jun 13 12:49:49 2021 relations with 0 large ideals: 33368
  116. Sun Jun 13 12:49:49 2021 relations with 1 large ideals: 9769
  117. Sun Jun 13 12:49:49 2021 relations with 2 large ideals: 94567
  118. Sun Jun 13 12:49:49 2021 relations with 3 large ideals: 569237
  119. Sun Jun 13 12:49:49 2021 relations with 4 large ideals: 1837399
  120. Sun Jun 13 12:49:49 2021 relations with 5 large ideals: 3501941
  121. Sun Jun 13 12:49:49 2021 relations with 6 large ideals: 4157220
  122. Sun Jun 13 12:49:49 2021 relations with 7+ large ideals: 5678542
  123. Sun Jun 13 12:49:49 2021 commencing 2-way merge
  124. Sun Jun 13 12:49:56 2021 reduce to 11341231 relation sets and 10825234 unique ideals
  125. Sun Jun 13 12:49:56 2021 commencing full merge
  126. Sun Jun 13 12:53:42 2021 memory use: 1453.1 MB
  127. Sun Jun 13 12:53:43 2021 found 5017721 cycles, need 5013434
  128. Sun Jun 13 12:53:44 2021 weight of 5013434 cycles is about 602241537 (120.13/cycle)
  129. Sun Jun 13 12:53:44 2021 distribution of cycle lengths:
  130. Sun Jun 13 12:53:45 2021 1 relations: 145081
  131. Sun Jun 13 12:53:45 2021 2 relations: 240801
  132. Sun Jun 13 12:53:45 2021 3 relations: 317221
  133. Sun Jun 13 12:53:45 2021 4 relations: 354974
  134. Sun Jun 13 12:53:45 2021 5 relations: 379897
  135. Sun Jun 13 12:53:45 2021 6 relations: 386929
  136. Sun Jun 13 12:53:45 2021 7 relations: 382974
  137. Sun Jun 13 12:53:45 2021 8 relations: 367571
  138. Sun Jun 13 12:53:45 2021 9 relations: 340765
  139. Sun Jun 13 12:53:45 2021 10+ relations: 2097221
  140. Sun Jun 13 12:53:45 2021 heaviest cycle: 28 relations
  141. Sun Jun 13 12:53:46 2021 commencing cycle optimization
  142. Sun Jun 13 12:53:55 2021 start with 46672707 relations
  143. Sun Jun 13 12:55:19 2021 pruned 2692336 relations
  144. Sun Jun 13 12:55:19 2021 memory use: 1142.0 MB
  145. Sun Jun 13 12:55:19 2021 distribution of cycle lengths:
  146. Sun Jun 13 12:55:19 2021 1 relations: 145081
  147. Sun Jun 13 12:55:19 2021 2 relations: 247385
  148. Sun Jun 13 12:55:19 2021 3 relations: 331931
  149. Sun Jun 13 12:55:19 2021 4 relations: 373093
  150. Sun Jun 13 12:55:19 2021 5 relations: 404694
  151. Sun Jun 13 12:55:19 2021 6 relations: 411812
  152. Sun Jun 13 12:55:19 2021 7 relations: 409902
  153. Sun Jun 13 12:55:19 2021 8 relations: 391634
  154. Sun Jun 13 12:55:19 2021 9 relations: 362347
  155. Sun Jun 13 12:55:19 2021 10+ relations: 1935555
  156. Sun Jun 13 12:55:19 2021 heaviest cycle: 28 relations
  157. Sun Jun 13 12:55:27 2021 RelProcTime: 3901
  158. Sun Jun 13 12:55:27 2021
  159. Sun Jun 13 12:55:27 2021 commencing linear algebra
  160. Sun Jun 13 12:55:28 2021 read 5013434 cycles
  161. Sun Jun 13 12:55:36 2021 cycles contain 15654593 unique relations
  162. Sun Jun 13 12:56:53 2021 read 15654593 relations
  163. Sun Jun 13 12:57:14 2021 using 20 quadratic characters above 4294917295
  164. Sun Jun 13 12:58:07 2021 building initial matrix
  165. Sun Jun 13 13:00:31 2021 memory use: 1911.7 MB
  166. Sun Jun 13 13:00:33 2021 read 5013434 cycles
  167. Sun Jun 13 13:00:34 2021 matrix is 5013257 x 5013434 (2304.7 MB) with weight 652493944 (130.15/col)
  168. Sun Jun 13 13:00:34 2021 sparse part has weight 554040678 (110.51/col)
  169. Sun Jun 13 13:01:16 2021 filtering completed in 2 passes
  170. Sun Jun 13 13:01:17 2021 matrix is 5013208 x 5013385 (2304.7 MB) with weight 652492328 (130.15/col)
  171. Sun Jun 13 13:01:17 2021 sparse part has weight 554040046 (110.51/col)
  172. Sun Jun 13 13:01:26 2021 matrix starts at (0, 0)
  173. Sun Jun 13 13:01:26 2021 matrix is 5013208 x 5013385 (2304.7 MB) with weight 652492328 (130.15/col)
  174. Sun Jun 13 13:01:26 2021 sparse part has weight 554040046 (110.51/col)
  175. Sun Jun 13 13:01:26 2021 saving the first 48 matrix rows for later
  176. Sun Jun 13 13:01:27 2021 matrix includes 64 packed rows
  177. Sun Jun 13 13:01:28 2021 matrix is 5013160 x 5013385 (2211.0 MB) with weight 564287693 (112.56/col)
  178. Sun Jun 13 13:01:28 2021 sparse part has weight 529473668 (105.61/col)
  179. Sun Jun 13 13:01:28 2021 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  180. Sun Jun 13 13:01:43 2021 commencing Lanczos iteration (3 threads)
  181. Sun Jun 13 13:01:43 2021 memory use: 2102.5 MB
  182. Sun Jun 13 13:02:03 2021 linear algebra at 0.0%, ETA 17h30m
  183. Sun Jun 13 13:02:09 2021 checkpointing every 300000 dimensions
  184. Mon Jun 14 05:01:53 2021 lanczos halted after 79283 iterations (dim = 5013159)
  185. Mon Jun 14 05:02:00 2021 recovered 36 nontrivial dependencies
  186. Mon Jun 14 05:02:00 2021 BLanczosTime: 57993
  187. Mon Jun 14 05:02:00 2021
  188. Mon Jun 14 05:02:00 2021 commencing square root phase
  189. Mon Jun 14 05:02:00 2021 handling dependencies 1 to 64
  190. Mon Jun 14 05:02:00 2021 reading relations for dependency 1
  191. Mon Jun 14 05:02:00 2021 read 2506404 cycles
  192. Mon Jun 14 05:02:04 2021 cycles contain 7827282 unique relations
  193. Mon Jun 14 05:02:49 2021 read 7827282 relations
  194. Mon Jun 14 05:03:12 2021 multiplying 7827282 relations
  195. Mon Jun 14 05:06:43 2021 multiply complete, coefficients have about 191.10 million bits
  196. Mon Jun 14 05:06:44 2021 initial square root is modulo 7215301
  197. Mon Jun 14 05:10:48 2021 found factor: 43861832938722729491548354385968177679130890609106503587707999898636395653
  198. Mon Jun 14 05:10:48 2021 reading relations for dependency 2
  199. Mon Jun 14 05:10:48 2021 read 2504715 cycles
  200. Mon Jun 14 05:10:52 2021 cycles contain 7822046 unique relations
  201. Mon Jun 14 05:11:38 2021 read 7822046 relations
  202. Mon Jun 14 05:12:01 2021 multiplying 7822046 relations
  203. Mon Jun 14 05:15:32 2021 multiply complete, coefficients have about 190.98 million bits
  204. Mon Jun 14 05:15:33 2021 initial square root is modulo 7141049
  205. Mon Jun 14 05:19:38 2021 sqrtTime: 1058
  206. Mon Jun 14 05:19:38 2021 p57 factor: 142141687928790102283330152207911725901642588659216945127
  207. Mon Jun 14 05:19:38 2021 p62 factor: 59820360781357797670731975986371050392208362832991619913693431
  208. Mon Jun 14 05:19:38 2021 p74 factor: 43861832938722729491548354385968177679130890609106503587707999898636395653
  209. Mon Jun 14 05:19:38 2021 elapsed time 17:29:13
  210.  
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