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May 30th, 2020
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  1. Sat May 16 09:11:01 2020
  2. Sat May 16 09:11:01 2020
  3. Sat May 16 09:11:01 2020 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat May 16 09:11:01 2020 random seeds: 525afe00 19291d06
  5. Sat May 16 09:11:01 2020 factoring 44071437583252912142752462367945315674018279237169592050591371271797186730788474460401519679093653784912147928829693795988493030787567502948738092609571 (152 digits)
  6. Sat May 16 09:11:01 2020 searching for 15-digit factors
  7. Sat May 16 09:11:01 2020 commencing number field sieve (152-digit input)
  8. Sat May 16 09:11:01 2020 R0: -190522528041166981207991212494
  9. Sat May 16 09:11:01 2020 R1: 1548557929493761
  10. Sat May 16 09:11:01 2020 A0: 127839116660170048027415124998868953885
  11. Sat May 16 09:11:01 2020 A1: 204738353026674032839864497113727
  12. Sat May 16 09:11:01 2020 A2: 18289350142202398864067351
  13. Sat May 16 09:11:01 2020 A3: -13381769200588442295
  14. Sat May 16 09:11:01 2020 A4: -1623493610308
  15. Sat May 16 09:11:01 2020 A5: 175560
  16. Sat May 16 09:11:01 2020 skew 5400478.34, size 9.045e-015, alpha -8.271, combined = 4.104e-012 rroots = 3
  17. Sat May 16 09:11:01 2020
  18. Sat May 16 09:11:01 2020 commencing relation filtering
  19. Sat May 16 09:11:01 2020 setting target matrix density to 120.0
  20. Sat May 16 09:11:01 2020 estimated available RAM is 32685.6 MB
  21. Sat May 16 09:11:01 2020 commencing duplicate removal, pass 1
  22. Sat May 16 09:12:03 2020 error -9 reading relation 10737437
  23. Sat May 16 09:12:39 2020 error -9 reading relation 16770158
  24. Sat May 16 09:13:32 2020 error -15 reading relation 25842430
  25. Sat May 16 09:13:56 2020 error -15 reading relation 29739599
  26. Sat May 16 09:14:04 2020 error -15 reading relation 31125514
  27. Sat May 16 09:14:25 2020 error -15 reading relation 34617199
  28. Sat May 16 09:14:26 2020 error -5 reading relation 34793386
  29. Sat May 16 09:14:36 2020 error -15 reading relation 36464946
  30. Sat May 16 09:14:44 2020 error -9 reading relation 37825670
  31. Sat May 16 09:14:49 2020 error -9 reading relation 38648512
  32. Sat May 16 09:14:54 2020 error -15 reading relation 39543219
  33. Sat May 16 09:14:56 2020 error -15 reading relation 39846579
  34. Sat May 16 09:14:56 2020 error -5 reading relation 39849566
  35. Sat May 16 09:14:58 2020 error -15 reading relation 40145666
  36. Sat May 16 09:15:10 2020 error -15 reading relation 42220385
  37. Sat May 16 09:15:11 2020 error -9 reading relation 42337528
  38. Sat May 16 09:15:18 2020 error -15 reading relation 43549136
  39. Sat May 16 09:15:30 2020 error -15 reading relation 45538367
  40. Sat May 16 09:15:39 2020 error -9 reading relation 47182150
  41. Sat May 16 09:15:42 2020 error -9 reading relation 47632548
  42. Sat May 16 09:15:45 2020 error -15 reading relation 48167033
  43. Sat May 16 09:15:47 2020 error -1 reading relation 48457996
  44. Sat May 16 09:16:04 2020 error -15 reading relation 51254356
  45. Sat May 16 09:16:12 2020 error -15 reading relation 52723169
  46. Sat May 16 09:16:12 2020 error -9 reading relation 52727366
  47. Sat May 16 09:16:12 2020 error -9 reading relation 52731470
  48. Sat May 16 09:16:14 2020 error -15 reading relation 53038514
  49. Sat May 16 09:16:16 2020 error -9 reading relation 53432099
  50. Sat May 16 09:16:17 2020 error -9 reading relation 53520536
  51. Sat May 16 09:16:19 2020 error -9 reading relation 53902329
  52. Sat May 16 09:16:20 2020 error -1 reading relation 54116135
  53. Sat May 16 09:16:30 2020 error -9 reading relation 55716922
  54. Sat May 16 09:16:39 2020 error -9 reading relation 57303131
  55. Sat May 16 09:16:44 2020 error -15 reading relation 58140702
  56. Sat May 16 09:16:48 2020 error -1 reading relation 58900724
  57. Sat May 16 09:16:49 2020 error -15 reading relation 59121231
  58. Sat May 16 09:16:54 2020 error -15 reading relation 59976950
  59. Sat May 16 09:16:59 2020 error -15 reading relation 60653249
  60. Sat May 16 09:17:01 2020 error -9 reading relation 61041454
  61. Sat May 16 09:17:01 2020 error -1 reading relation 61041455
  62. Sat May 16 09:17:13 2020 skipped 16 relations with composite factors
  63. Sat May 16 09:17:13 2020 found 11039992 hash collisions in 63138776 relations
  64. Sat May 16 09:17:38 2020 added 121840 free relations
  65. Sat May 16 09:17:38 2020 commencing duplicate removal, pass 2
  66. Sat May 16 09:18:04 2020 found 11103376 duplicates and 52157240 unique relations
  67. Sat May 16 09:18:04 2020 memory use: 394.4 MB
  68. Sat May 16 09:18:04 2020 reading ideals above 720000
  69. Sat May 16 09:18:04 2020 commencing singleton removal, initial pass
  70. Sat May 16 09:22:35 2020 memory use: 1378.0 MB
  71. Sat May 16 09:22:35 2020 reading all ideals from disk
  72. Sat May 16 09:22:36 2020 memory use: 1847.1 MB
  73. Sat May 16 09:22:38 2020 keeping 46089457 ideals with weight <= 200, target excess is 282224
  74. Sat May 16 09:22:41 2020 commencing in-memory singleton removal
  75. Sat May 16 09:22:43 2020 begin with 52157240 relations and 46089457 unique ideals
  76. Sat May 16 09:23:08 2020 reduce to 34953027 relations and 27319704 ideals in 12 passes
  77. Sat May 16 09:23:08 2020 max relations containing the same ideal: 162
  78. Sat May 16 09:23:18 2020 removing 4196049 relations and 3196049 ideals in 1000000 cliques
  79. Sat May 16 09:23:19 2020 commencing in-memory singleton removal
  80. Sat May 16 09:23:20 2020 begin with 30756978 relations and 27319704 unique ideals
  81. Sat May 16 09:23:33 2020 reduce to 30367377 relations and 23720762 ideals in 8 passes
  82. Sat May 16 09:23:33 2020 max relations containing the same ideal: 150
  83. Sat May 16 09:23:42 2020 removing 3336930 relations and 2336930 ideals in 1000000 cliques
  84. Sat May 16 09:23:43 2020 commencing in-memory singleton removal
  85. Sat May 16 09:23:44 2020 begin with 27030447 relations and 23720762 unique ideals
  86. Sat May 16 09:23:54 2020 reduce to 26754324 relations and 21098929 ideals in 7 passes
  87. Sat May 16 09:23:54 2020 max relations containing the same ideal: 137
  88. Sat May 16 09:24:02 2020 removing 3108174 relations and 2108174 ideals in 1000000 cliques
  89. Sat May 16 09:24:02 2020 commencing in-memory singleton removal
  90. Sat May 16 09:24:03 2020 begin with 23646150 relations and 21098929 unique ideals
  91. Sat May 16 09:24:13 2020 reduce to 23392423 relations and 18728414 ideals in 8 passes
  92. Sat May 16 09:24:13 2020 max relations containing the same ideal: 125
  93. Sat May 16 09:24:20 2020 removing 3002597 relations and 2002597 ideals in 1000000 cliques
  94. Sat May 16 09:24:21 2020 commencing in-memory singleton removal
  95. Sat May 16 09:24:21 2020 begin with 20389826 relations and 18728414 unique ideals
  96. Sat May 16 09:24:30 2020 reduce to 20133520 relations and 16459996 ideals in 8 passes
  97. Sat May 16 09:24:30 2020 max relations containing the same ideal: 114
  98. Sat May 16 09:24:36 2020 removing 2942425 relations and 1942425 ideals in 1000000 cliques
  99. Sat May 16 09:24:37 2020 commencing in-memory singleton removal
  100. Sat May 16 09:24:37 2020 begin with 17191095 relations and 16459996 unique ideals
  101. Sat May 16 09:24:43 2020 reduce to 16915766 relations and 14230530 ideals in 7 passes
  102. Sat May 16 09:24:43 2020 max relations containing the same ideal: 97
  103. Sat May 16 09:24:48 2020 removing 2910638 relations and 1910638 ideals in 1000000 cliques
  104. Sat May 16 09:24:49 2020 commencing in-memory singleton removal
  105. Sat May 16 09:24:50 2020 begin with 14005128 relations and 14230530 unique ideals
  106. Sat May 16 09:24:54 2020 reduce to 13694491 relations and 11993753 ideals in 7 passes
  107. Sat May 16 09:24:54 2020 max relations containing the same ideal: 84
  108. Sat May 16 09:24:59 2020 removing 2895096 relations and 1895096 ideals in 1000000 cliques
  109. Sat May 16 09:24:59 2020 commencing in-memory singleton removal
  110. Sat May 16 09:25:00 2020 begin with 10799395 relations and 11993753 unique ideals
  111. Sat May 16 09:25:04 2020 reduce to 10427944 relations and 9704109 ideals in 8 passes
  112. Sat May 16 09:25:04 2020 max relations containing the same ideal: 72
  113. Sat May 16 09:25:07 2020 removing 1369984 relations and 973529 ideals in 396455 cliques
  114. Sat May 16 09:25:07 2020 commencing in-memory singleton removal
  115. Sat May 16 09:25:07 2020 begin with 9057960 relations and 9704109 unique ideals
  116. Sat May 16 09:25:10 2020 reduce to 8933937 relations and 8602383 ideals in 7 passes
  117. Sat May 16 09:25:10 2020 max relations containing the same ideal: 65
  118. Sat May 16 09:25:14 2020 relations with 0 large ideals: 899
  119. Sat May 16 09:25:14 2020 relations with 1 large ideals: 4520
  120. Sat May 16 09:25:14 2020 relations with 2 large ideals: 62282
  121. Sat May 16 09:25:14 2020 relations with 3 large ideals: 376763
  122. Sat May 16 09:25:14 2020 relations with 4 large ideals: 1194095
  123. Sat May 16 09:25:14 2020 relations with 5 large ideals: 2182465
  124. Sat May 16 09:25:14 2020 relations with 6 large ideals: 2458988
  125. Sat May 16 09:25:14 2020 relations with 7+ large ideals: 2653925
  126. Sat May 16 09:25:14 2020 commencing 2-way merge
  127. Sat May 16 09:25:18 2020 reduce to 5895571 relation sets and 5564017 unique ideals
  128. Sat May 16 09:25:18 2020 commencing full merge
  129. Sat May 16 09:26:47 2020 memory use: 730.6 MB
  130. Sat May 16 09:26:47 2020 found 2673140 cycles, need 2642217
  131. Sat May 16 09:26:47 2020 weight of 2642217 cycles is about 317089634 (120.01/cycle)
  132. Sat May 16 09:26:47 2020 distribution of cycle lengths:
  133. Sat May 16 09:26:47 2020 1 relations: 68947
  134. Sat May 16 09:26:47 2020 2 relations: 139027
  135. Sat May 16 09:26:47 2020 3 relations: 177296
  136. Sat May 16 09:26:47 2020 4 relations: 190352
  137. Sat May 16 09:26:47 2020 5 relations: 204517
  138. Sat May 16 09:26:47 2020 6 relations: 207358
  139. Sat May 16 09:26:47 2020 7 relations: 204806
  140. Sat May 16 09:26:47 2020 8 relations: 198594
  141. Sat May 16 09:26:47 2020 9 relations: 186346
  142. Sat May 16 09:26:47 2020 10+ relations: 1064974
  143. Sat May 16 09:26:47 2020 heaviest cycle: 27 relations
  144. Sat May 16 09:26:48 2020 commencing cycle optimization
  145. Sat May 16 09:26:52 2020 start with 23509518 relations
  146. Sat May 16 09:27:33 2020 pruned 1199061 relations
  147. Sat May 16 09:52:11 2020 memory use: 611.3 MB
  148. Sat May 16 09:52:11 2020 distribution of cycle lengths:
  149. Sat May 16 09:52:11 2020 1 relations: 68947
  150. Sat May 16 09:52:11 2020 2 relations: 143226
  151. Sat May 16 09:52:11 2020 3 relations: 185847
  152. Sat May 16 09:52:11 2020 4 relations: 199927
  153. Sat May 16 09:52:11 2020 5 relations: 216946
  154. Sat May 16 09:52:11 2020 6 relations: 219754
  155. Sat May 16 09:52:11 2020 7 relations: 218044
  156. Sat May 16 09:52:11 2020 8 relations: 210379
  157. Sat May 16 09:52:11 2020 9 relations: 196908
  158. Sat May 16 09:52:11 2020 10+ relations: 982239
  159. Sat May 16 09:52:11 2020 heaviest cycle: 26 relations
  160. Sat May 16 09:52:13 2020 RelProcTime: 2472
  161. Sat May 16 09:52:13 2020
  162. Sat May 16 09:52:13 2020 commencing linear algebra
  163. Sat May 16 09:52:14 2020 read 2642217 cycles
  164. Sat May 16 09:52:17 2020 cycles contain 8749678 unique relations
  165. Sat May 16 09:52:54 2020 read 8749678 relations
  166. Sat May 16 09:53:06 2020 using 20 quadratic characters above 4294917295
  167. Sat May 16 09:53:30 2020 building initial matrix
  168. Sat May 16 09:54:49 2020 memory use: 1232.4 MB
  169. Sat May 16 09:54:51 2020 read 2642217 cycles
  170. Sat May 16 09:54:51 2020 matrix is 2642040 x 2642217 (1234.7 MB) with weight 381108931 (144.24/col)
  171. Sat May 16 09:54:51 2020 sparse part has weight 291952537 (110.50/col)
  172. Sat May 16 09:55:09 2020 filtering completed in 2 passes
  173. Sat May 16 09:55:10 2020 matrix is 2641963 x 2642139 (1234.7 MB) with weight 381104969 (144.24/col)
  174. Sat May 16 09:55:10 2020 sparse part has weight 291951369 (110.50/col)
  175. Sat May 16 09:55:14 2020 matrix starts at (0, 0)
  176. Sat May 16 09:55:14 2020 matrix is 2641963 x 2642139 (1234.7 MB) with weight 381104969 (144.24/col)
  177. Sat May 16 09:55:14 2020 sparse part has weight 291951369 (110.50/col)
  178. Sat May 16 09:55:14 2020 saving the first 240 matrix rows for later
  179. Sat May 16 09:55:15 2020 matrix includes 256 packed rows
  180. Sat May 16 09:55:16 2020 matrix is 2641723 x 2642139 (1102.2 MB) with weight 265173391 (100.36/col)
  181. Sat May 16 09:55:16 2020 sparse part has weight 246656520 (93.35/col)
  182. Sat May 16 09:55:16 2020 using block size 8192 and superblock size 1572864 for processor cache size 65536 kB
  183. Sat May 16 09:55:23 2020 commencing Lanczos iteration (24 threads)
  184. Sat May 16 09:55:23 2020 memory use: 1510.4 MB
  185. Sat May 16 09:55:26 2020 linear algebra at 0.1%, ETA 0h57m
  186. Sat May 16 09:55:27 2020 checkpointing every 2460000 dimensions
  187. Sat May 16 11:05:23 2020 lanczos halted after 10351 iterations (dim = 2641721)
  188. Sat May 16 11:05:32 2020 recovered 28 nontrivial dependencies
  189. Sat May 16 11:05:32 2020 BLanczosTime: 4399
  190. Sat May 16 11:05:32 2020
  191. Sat May 16 11:05:32 2020 commencing square root phase
  192. Sat May 16 11:05:32 2020 handling dependencies 1 to 64
  193. Sat May 16 11:05:32 2020 reading relations for dependency 1
  194. Sat May 16 11:05:33 2020 read 1321795 cycles
  195. Sat May 16 11:05:34 2020 cycles contain 4376330 unique relations
  196. Sat May 16 11:05:55 2020 read 4376330 relations
  197. Sat May 16 11:06:07 2020 multiplying 4376330 relations
  198. Sat May 16 11:08:44 2020 multiply complete, coefficients have about 231.89 million bits
  199. Sat May 16 11:08:45 2020 initial square root is modulo 209891389
  200. Sat May 16 11:11:47 2020 sqrtTime: 375
  201. Sat May 16 11:11:47 2020 p74 factor: 44542488408171718109760569474267106870658201342724106672927543960318730471
  202. Sat May 16 11:11:47 2020 p78 factor: 989424685468798652081209837737862012635871953549868762817513588419140122592101
  203. Sat May 16 11:11:47 2020 elapsed time 02:00:46
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