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Apr 7th, 2021
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  1. Fri Apr 2 14:43:30 2021
  2. Fri Apr 2 14:43:30 2021
  3. Fri Apr 2 14:43:30 2021 Msieve v. 1.54 (SVN 1025)
  4. Fri Apr 2 14:43:30 2021 random seeds: 5175de03 c585c547
  5. Fri Apr 2 14:43:30 2021 factoring 14361605717414636614702540011934093663055973613542057755048795041877699699848602580210292723158334972257502750056130680520502100208039913744638120055118603 (155 digits)
  6. Fri Apr 2 14:43:30 2021 no P-1/P+1/ECM available, skipping
  7. Fri Apr 2 14:43:30 2021 commencing number field sieve (155-digit input)
  8. Fri Apr 2 14:43:30 2021 R0: -1693194108831716178278775679072
  9. Fri Apr 2 14:43:30 2021 R1: 165452806180124261
  10. Fri Apr 2 14:43:30 2021 A0: -1885159633642122927408861139068811656225
  11. Fri Apr 2 14:43:30 2021 A1: 224668103623632760025384046542890
  12. Fri Apr 2 14:43:30 2021 A2: 77207421215697419955354147
  13. Fri Apr 2 14:43:30 2021 A3: -5345755567403055560
  14. Fri Apr 2 14:43:30 2021 A4: -253915313624
  15. Fri Apr 2 14:43:30 2021 A5: 1032
  16. Fri Apr 2 14:43:30 2021 skew 18956966.87, size 5.982e-15, alpha -7.804, combined = 3.242e-12 rroots = 5
  17. Fri Apr 2 14:43:30 2021
  18. Fri Apr 2 14:43:30 2021 commencing relation filtering
  19. Fri Apr 2 14:43:30 2021 setting target matrix density to 136.0
  20. Fri Apr 2 14:43:30 2021 estimated available RAM is 16013.0 MB
  21. Fri Apr 2 14:43:30 2021 commencing duplicate removal, pass 1
  22. Fri Apr 2 14:43:55 2021 error -9 reading relation 3114032
  23. Fri Apr 2 14:45:49 2021 error -15 reading relation 17150725
  24. Fri Apr 2 14:45:56 2021 error -1 reading relation 17911948
  25. Fri Apr 2 14:47:28 2021 error -1 reading relation 29322309
  26. Fri Apr 2 14:47:30 2021 error -15 reading relation 29533632
  27. Fri Apr 2 14:47:33 2021 error -1 reading relation 29927680
  28. Fri Apr 2 14:47:48 2021 error -9 reading relation 31785364
  29. Fri Apr 2 14:48:53 2021 error -15 reading relation 39787581
  30. Fri Apr 2 14:49:04 2021 error -9 reading relation 41076099
  31. Fri Apr 2 14:49:04 2021 error -9 reading relation 41164185
  32. Fri Apr 2 14:49:04 2021 error -1 reading relation 41164795
  33. Fri Apr 2 14:49:20 2021 error -15 reading relation 43103565
  34. Fri Apr 2 14:49:47 2021 error -15 reading relation 46428992
  35. Fri Apr 2 14:49:49 2021 error -9 reading relation 46674865
  36. Fri Apr 2 14:49:51 2021 error -9 reading relation 46898289
  37. Fri Apr 2 14:50:01 2021 error -9 reading relation 48129193
  38. Fri Apr 2 14:50:02 2021 error -9 reading relation 48216104
  39. Fri Apr 2 14:50:02 2021 error -1 reading relation 48254288
  40. Fri Apr 2 14:50:02 2021 error -9 reading relation 48313987
  41. Fri Apr 2 14:50:13 2021 error -9 reading relation 49644747
  42. Fri Apr 2 14:50:14 2021 error -9 reading relation 49804106
  43. Fri Apr 2 14:50:17 2021 error -9 reading relation 50086951
  44. Fri Apr 2 14:50:19 2021 error -1 reading relation 50363672
  45. Fri Apr 2 14:50:23 2021 error -9 reading relation 50857208
  46. Fri Apr 2 14:50:24 2021 error -15 reading relation 50921705
  47. Fri Apr 2 14:50:25 2021 error -15 reading relation 51140649
  48. Fri Apr 2 14:50:30 2021 error -1 reading relation 51750504
  49. Fri Apr 2 14:50:31 2021 error -15 reading relation 51884012
  50. Fri Apr 2 14:50:32 2021 error -1 reading relation 51950143
  51. Fri Apr 2 14:50:34 2021 error -9 reading relation 52173300
  52. Fri Apr 2 14:50:34 2021 error -15 reading relation 52176030
  53. Fri Apr 2 14:50:36 2021 error -15 reading relation 52428833
  54. Fri Apr 2 14:51:17 2021 error -9 reading relation 57540259
  55. Fri Apr 2 14:51:22 2021 error -15 reading relation 58061603
  56. Fri Apr 2 14:51:25 2021 error -9 reading relation 58457300
  57. Fri Apr 2 14:51:28 2021 error -9 reading relation 58805782
  58. Fri Apr 2 14:51:34 2021 error -9 reading relation 59625593
  59. Fri Apr 2 14:51:39 2021 error -5 reading relation 60186186
  60. Fri Apr 2 14:51:47 2021 error -9 reading relation 61222231
  61. Fri Apr 2 14:51:48 2021 error -15 reading relation 61287988
  62. Fri Apr 2 14:51:48 2021 error -15 reading relation 61319331
  63. Fri Apr 2 14:51:48 2021 error -5 reading relation 61351375
  64. Fri Apr 2 14:52:09 2021 skipped 9 relations with composite factors
  65. Fri Apr 2 14:52:09 2021 found 12656741 hash collisions in 63861327 relations
  66. Fri Apr 2 14:52:35 2021 added 121353 free relations
  67. Fri Apr 2 14:52:35 2021 commencing duplicate removal, pass 2
  68. Fri Apr 2 14:53:45 2021 found 12152431 duplicates and 51830249 unique relations
  69. Fri Apr 2 14:53:45 2021 memory use: 330.4 MB
  70. Fri Apr 2 14:53:45 2021 reading ideals above 720000
  71. Fri Apr 2 14:53:45 2021 commencing singleton removal, initial pass
  72. Fri Apr 2 15:00:41 2021 memory use: 1378.0 MB
  73. Fri Apr 2 15:00:41 2021 reading all ideals from disk
  74. Fri Apr 2 15:00:46 2021 memory use: 1834.8 MB
  75. Fri Apr 2 15:00:51 2021 keeping 46980646 ideals with weight <= 200, target excess is 278211
  76. Fri Apr 2 15:00:56 2021 commencing in-memory singleton removal
  77. Fri Apr 2 15:01:01 2021 begin with 51830249 relations and 46980646 unique ideals
  78. Fri Apr 2 15:01:48 2021 reduce to 34034699 relations and 27421471 ideals in 12 passes
  79. Fri Apr 2 15:01:48 2021 max relations containing the same ideal: 163
  80. Fri Apr 2 15:02:06 2021 removing 4463988 relations and 3463988 ideals in 1000000 cliques
  81. Fri Apr 2 15:02:07 2021 commencing in-memory singleton removal
  82. Fri Apr 2 15:02:10 2021 begin with 29570711 relations and 27421471 unique ideals
  83. Fri Apr 2 15:02:37 2021 reduce to 29117909 relations and 23488552 ideals in 9 passes
  84. Fri Apr 2 15:02:37 2021 max relations containing the same ideal: 142
  85. Fri Apr 2 15:02:51 2021 removing 3520182 relations and 2520182 ideals in 1000000 cliques
  86. Fri Apr 2 15:02:53 2021 commencing in-memory singleton removal
  87. Fri Apr 2 15:02:55 2021 begin with 25597727 relations and 23488552 unique ideals
  88. Fri Apr 2 15:03:15 2021 reduce to 25273937 relations and 20633851 ideals in 8 passes
  89. Fri Apr 2 15:03:15 2021 max relations containing the same ideal: 128
  90. Fri Apr 2 15:03:28 2021 removing 3263936 relations and 2263936 ideals in 1000000 cliques
  91. Fri Apr 2 15:03:29 2021 commencing in-memory singleton removal
  92. Fri Apr 2 15:03:30 2021 begin with 22010001 relations and 20633851 unique ideals
  93. Fri Apr 2 15:03:47 2021 reduce to 21704671 relations and 18053691 ideals in 8 passes
  94. Fri Apr 2 15:03:47 2021 max relations containing the same ideal: 119
  95. Fri Apr 2 15:03:58 2021 removing 3146026 relations and 2146026 ideals in 1000000 cliques
  96. Fri Apr 2 15:03:59 2021 commencing in-memory singleton removal
  97. Fri Apr 2 15:04:00 2021 begin with 18558645 relations and 18053691 unique ideals
  98. Fri Apr 2 15:04:12 2021 reduce to 18244197 relations and 15580661 ideals in 7 passes
  99. Fri Apr 2 15:04:12 2021 max relations containing the same ideal: 105
  100. Fri Apr 2 15:04:21 2021 removing 3086265 relations and 2086265 ideals in 1000000 cliques
  101. Fri Apr 2 15:04:22 2021 commencing in-memory singleton removal
  102. Fri Apr 2 15:04:24 2021 begin with 15157932 relations and 15580661 unique ideals
  103. Fri Apr 2 15:04:33 2021 reduce to 14809304 relations and 13129158 ideals in 7 passes
  104. Fri Apr 2 15:04:33 2021 max relations containing the same ideal: 89
  105. Fri Apr 2 15:04:40 2021 removing 3053084 relations and 2053084 ideals in 1000000 cliques
  106. Fri Apr 2 15:04:41 2021 commencing in-memory singleton removal
  107. Fri Apr 2 15:04:42 2021 begin with 11756220 relations and 13129158 unique ideals
  108. Fri Apr 2 15:04:50 2021 reduce to 11345359 relations and 10641481 ideals in 8 passes
  109. Fri Apr 2 15:04:50 2021 max relations containing the same ideal: 75
  110. Fri Apr 2 15:04:55 2021 removing 1419428 relations and 1038275 ideals in 381153 cliques
  111. Fri Apr 2 15:04:55 2021 commencing in-memory singleton removal
  112. Fri Apr 2 15:04:56 2021 begin with 9925931 relations and 10641481 unique ideals
  113. Fri Apr 2 15:05:02 2021 reduce to 9805712 relations and 9479416 ideals in 7 passes
  114. Fri Apr 2 15:05:02 2021 max relations containing the same ideal: 69
  115. Fri Apr 2 15:05:08 2021 relations with 0 large ideals: 899
  116. Fri Apr 2 15:05:08 2021 relations with 1 large ideals: 4267
  117. Fri Apr 2 15:05:08 2021 relations with 2 large ideals: 60891
  118. Fri Apr 2 15:05:08 2021 relations with 3 large ideals: 376060
  119. Fri Apr 2 15:05:08 2021 relations with 4 large ideals: 1228060
  120. Fri Apr 2 15:05:08 2021 relations with 5 large ideals: 2330017
  121. Fri Apr 2 15:05:08 2021 relations with 6 large ideals: 2719371
  122. Fri Apr 2 15:05:08 2021 relations with 7+ large ideals: 3086147
  123. Fri Apr 2 15:05:08 2021 commencing 2-way merge
  124. Fri Apr 2 15:05:14 2021 reduce to 6377672 relation sets and 6051376 unique ideals
  125. Fri Apr 2 15:05:14 2021 commencing full merge
  126. Fri Apr 2 15:08:00 2021 memory use: 797.1 MB
  127. Fri Apr 2 15:08:01 2021 found 2757587 cycles, need 2753576
  128. Fri Apr 2 15:08:02 2021 weight of 2753576 cycles is about 375002567 (136.19/cycle)
  129. Fri Apr 2 15:08:02 2021 distribution of cycle lengths:
  130. Fri Apr 2 15:08:02 2021 1 relations: 61049
  131. Fri Apr 2 15:08:02 2021 2 relations: 125913
  132. Fri Apr 2 15:08:02 2021 3 relations: 160723
  133. Fri Apr 2 15:08:02 2021 4 relations: 173245
  134. Fri Apr 2 15:08:02 2021 5 relations: 185153
  135. Fri Apr 2 15:08:02 2021 6 relations: 187865
  136. Fri Apr 2 15:08:02 2021 7 relations: 188393
  137. Fri Apr 2 15:08:02 2021 8 relations: 185670
  138. Fri Apr 2 15:08:02 2021 9 relations: 179207
  139. Fri Apr 2 15:08:02 2021 10+ relations: 1306358
  140. Fri Apr 2 15:08:02 2021 heaviest cycle: 28 relations
  141. Fri Apr 2 15:08:03 2021 commencing cycle optimization
  142. Fri Apr 2 15:08:10 2021 start with 27567850 relations
  143. Fri Apr 2 15:09:25 2021 pruned 1498455 relations
  144. Fri Apr 2 15:09:25 2021 memory use: 687.4 MB
  145. Fri Apr 2 15:09:25 2021 distribution of cycle lengths:
  146. Fri Apr 2 15:09:25 2021 1 relations: 61049
  147. Fri Apr 2 15:09:25 2021 2 relations: 129769
  148. Fri Apr 2 15:09:25 2021 3 relations: 168633
  149. Fri Apr 2 15:09:25 2021 4 relations: 181851
  150. Fri Apr 2 15:09:25 2021 5 relations: 195609
  151. Fri Apr 2 15:09:25 2021 6 relations: 199054
  152. Fri Apr 2 15:09:25 2021 7 relations: 201161
  153. Fri Apr 2 15:09:25 2021 8 relations: 197283
  154. Fri Apr 2 15:09:25 2021 9 relations: 190393
  155. Fri Apr 2 15:09:25 2021 10+ relations: 1228774
  156. Fri Apr 2 15:09:25 2021 heaviest cycle: 28 relations
  157. Fri Apr 2 15:09:30 2021 RelProcTime: 1560
  158. Fri Apr 2 15:09:32 2021 elapsed time 00:26:02
  159. Fri Apr 2 15:53:10 2021
  160. Fri Apr 2 15:53:10 2021
  161. Fri Apr 2 15:53:10 2021 Msieve v. 1.54 (SVN 1025)
  162. Fri Apr 2 15:53:10 2021 random seeds: 61abc08c 248f1449
  163. Fri Apr 2 15:53:10 2021 factoring 14361605717414636614702540011934093663055973613542057755048795041877699699848602580210292723158334972257502750056130680520502100208039913744638120055118603 (155 digits)
  164. Fri Apr 2 15:53:10 2021 no P-1/P+1/ECM available, skipping
  165. Fri Apr 2 15:53:10 2021 commencing number field sieve (155-digit input)
  166. Fri Apr 2 15:53:10 2021 R0: -1693194108831716178278775679072
  167. Fri Apr 2 15:53:10 2021 R1: 165452806180124261
  168. Fri Apr 2 15:53:10 2021 A0: -1885159633642122927408861139068811656225
  169. Fri Apr 2 15:53:10 2021 A1: 224668103623632760025384046542890
  170. Fri Apr 2 15:53:10 2021 A2: 77207421215697419955354147
  171. Fri Apr 2 15:53:10 2021 A3: -5345755567403055560
  172. Fri Apr 2 15:53:10 2021 A4: -253915313624
  173. Fri Apr 2 15:53:10 2021 A5: 1032
  174. Fri Apr 2 15:53:10 2021 skew 18956966.87, size 5.982e-15, alpha -7.804, combined = 3.242e-12 rroots = 5
  175. Fri Apr 2 15:53:10 2021
  176. Fri Apr 2 15:53:10 2021 commencing linear algebra
  177. Fri Apr 2 15:53:11 2021 read 2753576 cycles
  178. Fri Apr 2 15:53:18 2021 cycles contain 9615438 unique relations
  179. Fri Apr 2 15:54:49 2021 read 9615438 relations
  180. Fri Apr 2 15:55:07 2021 using 20 quadratic characters above 4294917295
  181. Fri Apr 2 15:55:52 2021 building initial matrix
  182. Fri Apr 2 15:58:21 2021 memory use: 1353.7 MB
  183. Fri Apr 2 15:58:23 2021 read 2753576 cycles
  184. Fri Apr 2 15:58:24 2021 matrix is 2753397 x 2753576 (1430.6 MB) with weight 441051951 (160.17/col)
  185. Fri Apr 2 15:58:24 2021 sparse part has weight 341972228 (124.19/col)
  186. Fri Apr 2 15:58:58 2021 filtering completed in 2 passes
  187. Fri Apr 2 15:58:58 2021 matrix is 2753389 x 2753568 (1430.6 MB) with weight 441051607 (160.17/col)
  188. Fri Apr 2 15:58:58 2021 sparse part has weight 341972158 (124.19/col)
  189. Fri Apr 2 15:59:25 2021 matrix starts at (0, 0)
  190. Fri Apr 2 15:59:26 2021 matrix is 2753389 x 2753568 (1430.6 MB) with weight 441051607 (160.17/col)
  191. Fri Apr 2 15:59:26 2021 sparse part has weight 341972158 (124.19/col)
  192. Fri Apr 2 15:59:26 2021 saving the first 48 matrix rows for later
  193. Fri Apr 2 15:59:26 2021 matrix includes 64 packed rows
  194. Fri Apr 2 15:59:26 2021 matrix is 2753341 x 2753568 (1403.3 MB) with weight 381674426 (138.61/col)
  195. Fri Apr 2 15:59:26 2021 sparse part has weight 340324955 (123.59/col)
  196. Fri Apr 2 15:59:26 2021 using block size 8192 and superblock size 3244032 for processor cache size 33792 kB
  197. Fri Apr 2 15:59:37 2021 commencing Lanczos iteration (4 threads)
  198. Fri Apr 2 15:59:37 2021 memory use: 1279.0 MB
  199. Fri Apr 2 15:59:51 2021 linear algebra at 0.1%, ETA 6h33m
  200. Fri Apr 2 15:59:55 2021 checkpointing every 430000 dimensions
  201. Fri Apr 2 22:20:52 2021 lanczos halted after 43542 iterations (dim = 2753337)
  202. Fri Apr 2 22:20:55 2021 recovered 27 nontrivial dependencies
  203. Fri Apr 2 22:20:55 2021 BLanczosTime: 23265
  204. Fri Apr 2 22:20:55 2021
  205. Fri Apr 2 22:20:55 2021 commencing square root phase
  206. Fri Apr 2 22:20:55 2021 reading relations for dependency 1
  207. Fri Apr 2 22:20:56 2021 read 1376306 cycles
  208. Fri Apr 2 22:20:59 2021 cycles contain 4809810 unique relations
  209. Fri Apr 2 22:22:09 2021 read 4809810 relations
  210. Fri Apr 2 22:22:33 2021 multiplying 4809810 relations
  211. Fri Apr 2 22:26:40 2021 multiply complete, coefficients have about 234.80 million bits
  212. Fri Apr 2 22:26:41 2021 initial square root is modulo 266779979
  213. Fri Apr 2 22:35:32 2021 sqrtTime: 877
  214. Fri Apr 2 22:35:32 2021 p69 factor: 257458679037095478941308228123389943065920933964788410965131285575183
  215. Fri Apr 2 22:35:32 2021 p86 factor: 55782177439609134428096713844378026942636382031474493548489629218977929023469310076741
  216. Fri Apr 2 22:35:32 2021 elapsed time 06:42:22
  217.  
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