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Sep 6th, 2022
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  1. Sat Sep 3 22:25:08 2022
  2. Sat Sep 3 22:25:08 2022
  3. Sat Sep 3 22:25:08 2022 Msieve v. 1.54 (SVN unknown)
  4. Sat Sep 3 22:25:08 2022 random seeds: 27c5c934 cff5bf9b
  5. Sat Sep 3 22:25:08 2022 factoring 130136702608356951521336099430041511340497167393741791595919877287199075569521256743947031498931471914772799897371812015468792990545260834581752758512878385754688069 (165 digits)
  6. Sat Sep 3 22:25:09 2022 searching for 15-digit factors
  7. Sat Sep 3 22:25:09 2022 commencing number field sieve (165-digit input)
  8. Sat Sep 3 22:25:09 2022 R0: -73572047134236279991664163406803
  9. Sat Sep 3 22:25:09 2022 R1: 28170768036818377
  10. Sat Sep 3 22:25:09 2022 A0: 961046582320198894231156056372324430000
  11. Sat Sep 3 22:25:09 2022 A1: 177050297629806299693771633160860
  12. Sat Sep 3 22:25:09 2022 A2: -483012791277322804210267177
  13. Sat Sep 3 22:25:09 2022 A3: -40482596085639142988
  14. Sat Sep 3 22:25:09 2022 A4: 11985429073218
  15. Sat Sep 3 22:25:09 2022 A5: 60372
  16. Sat Sep 3 22:25:09 2022 skew 6778780.87, size 5.053e-16, alpha -6.829, combined = 7.526e-13 rroots = 5
  17. Sat Sep 3 22:25:09 2022
  18. Sat Sep 3 22:25:09 2022 commencing relation filtering
  19. Sat Sep 3 22:25:09 2022 setting target matrix density to 140.0
  20. Sat Sep 3 22:25:09 2022 estimated available RAM is 31304.4 MB
  21. Sat Sep 3 22:25:09 2022 commencing duplicate removal, pass 1
  22. Sat Sep 3 22:25:18 2022 error -9 reading relation 5253169
  23. Sat Sep 3 22:25:20 2022 error -1 reading relation 6111775
  24. Sat Sep 3 22:25:20 2022 error -15 reading relation 6446842
  25. Sat Sep 3 22:25:21 2022 error -15 reading relation 6824036
  26. Sat Sep 3 22:25:21 2022 error -15 reading relation 6863199
  27. Sat Sep 3 22:25:22 2022 error -15 reading relation 7278032
  28. Sat Sep 3 22:25:27 2022 error -9 reading relation 10337084
  29. Sat Sep 3 22:25:29 2022 error -9 reading relation 11481842
  30. Sat Sep 3 22:26:27 2022 error -9 reading relation 44321053
  31. Sat Sep 3 22:26:27 2022 error -9 reading relation 44400662
  32. Sat Sep 3 22:26:27 2022 error -15 reading relation 44703865
  33. Sat Sep 3 22:26:27 2022 error -15 reading relation 44819920
  34. Sat Sep 3 22:26:28 2022 error -15 reading relation 45133321
  35. Sat Sep 3 22:26:36 2022 error -9 reading relation 49675118
  36. Sat Sep 3 22:26:39 2022 error -1 reading relation 51413869
  37. Sat Sep 3 22:26:40 2022 error -15 reading relation 51730607
  38. Sat Sep 3 22:27:01 2022 error -15 reading relation 63522564
  39. Sat Sep 3 22:27:03 2022 error -5 reading relation 64648659
  40. Sat Sep 3 22:27:08 2022 error -5 reading relation 67701214
  41. Sat Sep 3 22:27:08 2022 error -9 reading relation 67716678
  42. Sat Sep 3 22:27:08 2022 error -9 reading relation 67720582
  43. Sat Sep 3 22:27:08 2022 error -15 reading relation 67751142
  44. Sat Sep 3 22:27:08 2022 error -1 reading relation 67755057
  45. Sat Sep 3 22:27:16 2022 error -1 reading relation 72150015
  46. Sat Sep 3 22:27:18 2022 error -15 reading relation 73009539
  47. Sat Sep 3 22:27:26 2022 error -9 reading relation 77557353
  48. Sat Sep 3 22:27:32 2022 error -15 reading relation 81053004
  49. Sat Sep 3 22:27:37 2022 error -15 reading relation 83657876
  50. Sat Sep 3 22:28:06 2022 error -15 reading relation 100309819
  51. Sat Sep 3 22:28:51 2022 error -9 reading relation 125824948
  52. Sat Sep 3 22:28:58 2022 error -15 reading relation 130050718
  53. Sat Sep 3 22:28:58 2022 error -9 reading relation 130063235
  54. Sat Sep 3 22:28:59 2022 error -5 reading relation 130463131
  55. Sat Sep 3 22:28:59 2022 error -15 reading relation 130477596
  56. Sat Sep 3 22:28:59 2022 error -15 reading relation 130490421
  57. Sat Sep 3 22:28:59 2022 error -9 reading relation 130491822
  58. Sat Sep 3 22:28:59 2022 error -9 reading relation 130495054
  59. Sat Sep 3 22:28:59 2022 error -15 reading relation 130495832
  60. Sat Sep 3 22:29:06 2022 error -1 reading relation 134552575
  61. Sat Sep 3 22:29:22 2022 skipped 26 relations with composite factors
  62. Sat Sep 3 22:29:22 2022 found 31757188 hash collisions in 143790582 relations
  63. Sat Sep 3 22:29:48 2022 added 122305 free relations
  64. Sat Sep 3 22:29:48 2022 commencing duplicate removal, pass 2
  65. Sat Sep 3 22:32:17 2022 found 32007437 duplicates and 111905450 unique relations
  66. Sat Sep 3 22:32:17 2022 memory use: 724.8 MB
  67. Sat Sep 3 22:32:17 2022 reading ideals above 720000
  68. Sat Sep 3 22:32:17 2022 commencing singleton removal, initial pass
  69. Sat Sep 3 22:38:50 2022 memory use: 2756.0 MB
  70. Sat Sep 3 22:38:51 2022 reading all ideals from disk
  71. Sat Sep 3 22:38:53 2022 memory use: 5101.0 MB
  72. Sat Sep 3 22:39:05 2022 keeping 93534546 ideals with weight <= 200, target excess is 598703
  73. Sat Sep 3 22:39:18 2022 commencing in-memory singleton removal
  74. Sat Sep 3 22:39:21 2022 begin with 111905450 relations and 93534546 unique ideals
  75. Sat Sep 3 22:39:29 2022 reduce to 81817521 relations and 61030276 ideals in 11 passes
  76. Sat Sep 3 22:39:29 2022 max relations containing the same ideal: 174
  77. Sat Sep 3 22:39:52 2022 removing 7937280 relations and 5937280 ideals in 2000000 cliques
  78. Sat Sep 3 22:39:55 2022 commencing in-memory singleton removal
  79. Sat Sep 3 22:39:57 2022 begin with 73880241 relations and 61030276 unique ideals
  80. Sat Sep 3 22:40:01 2022 reduce to 73286471 relations and 54481746 ideals in 7 passes
  81. Sat Sep 3 22:40:01 2022 max relations containing the same ideal: 161
  82. Sat Sep 3 22:40:21 2022 removing 6313103 relations and 4313103 ideals in 2000000 cliques
  83. Sat Sep 3 22:40:24 2022 commencing in-memory singleton removal
  84. Sat Sep 3 22:40:26 2022 begin with 66973368 relations and 54481746 unique ideals
  85. Sat Sep 3 22:40:30 2022 reduce to 66566863 relations and 49751381 ideals in 7 passes
  86. Sat Sep 3 22:40:30 2022 max relations containing the same ideal: 154
  87. Sat Sep 3 22:40:50 2022 removing 5882066 relations and 3882066 ideals in 2000000 cliques
  88. Sat Sep 3 22:40:53 2022 commencing in-memory singleton removal
  89. Sat Sep 3 22:40:54 2022 begin with 60684797 relations and 49751381 unique ideals
  90. Sat Sep 3 22:40:57 2022 reduce to 60326398 relations and 45501113 ideals in 6 passes
  91. Sat Sep 3 22:40:57 2022 max relations containing the same ideal: 142
  92. Sat Sep 3 22:41:14 2022 removing 5656893 relations and 3656893 ideals in 2000000 cliques
  93. Sat Sep 3 22:41:17 2022 commencing in-memory singleton removal
  94. Sat Sep 3 22:41:18 2022 begin with 54669505 relations and 45501113 unique ideals
  95. Sat Sep 3 22:41:21 2022 reduce to 54331275 relations and 41495833 ideals in 6 passes
  96. Sat Sep 3 22:41:21 2022 max relations containing the same ideal: 134
  97. Sat Sep 3 22:41:36 2022 removing 5509705 relations and 3509705 ideals in 2000000 cliques
  98. Sat Sep 3 22:41:39 2022 commencing in-memory singleton removal
  99. Sat Sep 3 22:41:40 2022 begin with 48821570 relations and 41495833 unique ideals
  100. Sat Sep 3 22:41:42 2022 reduce to 48485602 relations and 37639767 ideals in 6 passes
  101. Sat Sep 3 22:41:42 2022 max relations containing the same ideal: 121
  102. Sat Sep 3 22:41:56 2022 removing 5408290 relations and 3408290 ideals in 2000000 cliques
  103. Sat Sep 3 22:41:58 2022 commencing in-memory singleton removal
  104. Sat Sep 3 22:42:00 2022 begin with 43077312 relations and 37639767 unique ideals
  105. Sat Sep 3 22:42:02 2022 reduce to 42736652 relations and 33879125 ideals in 6 passes
  106. Sat Sep 3 22:42:02 2022 max relations containing the same ideal: 114
  107. Sat Sep 3 22:42:14 2022 removing 5328866 relations and 3328866 ideals in 2000000 cliques
  108. Sat Sep 3 22:42:16 2022 commencing in-memory singleton removal
  109. Sat Sep 3 22:42:17 2022 begin with 37407786 relations and 33879125 unique ideals
  110. Sat Sep 3 22:42:19 2022 reduce to 37048733 relations and 30177367 ideals in 7 passes
  111. Sat Sep 3 22:42:19 2022 max relations containing the same ideal: 102
  112. Sat Sep 3 22:42:31 2022 removing 5266874 relations and 3266874 ideals in 2000000 cliques
  113. Sat Sep 3 22:42:33 2022 commencing in-memory singleton removal
  114. Sat Sep 3 22:42:34 2022 begin with 31781859 relations and 30177367 unique ideals
  115. Sat Sep 3 22:42:36 2022 reduce to 31385143 relations and 26496523 ideals in 8 passes
  116. Sat Sep 3 22:42:36 2022 max relations containing the same ideal: 90
  117. Sat Sep 3 22:42:45 2022 removing 5226047 relations and 3226047 ideals in 2000000 cliques
  118. Sat Sep 3 22:42:47 2022 commencing in-memory singleton removal
  119. Sat Sep 3 22:42:48 2022 begin with 26159096 relations and 26496523 unique ideals
  120. Sat Sep 3 22:42:49 2022 reduce to 25696802 relations and 22784606 ideals in 7 passes
  121. Sat Sep 3 22:42:49 2022 max relations containing the same ideal: 80
  122. Sat Sep 3 22:42:57 2022 removing 5216800 relations and 3216800 ideals in 2000000 cliques
  123. Sat Sep 3 22:42:59 2022 commencing in-memory singleton removal
  124. Sat Sep 3 22:42:59 2022 begin with 20480002 relations and 22784606 unique ideals
  125. Sat Sep 3 22:43:00 2022 reduce to 19878135 relations and 18928027 ideals in 8 passes
  126. Sat Sep 3 22:43:00 2022 max relations containing the same ideal: 67
  127. Sat Sep 3 22:43:07 2022 removing 967171 relations and 711559 ideals in 255612 cliques
  128. Sat Sep 3 22:43:08 2022 commencing in-memory singleton removal
  129. Sat Sep 3 22:43:08 2022 begin with 18910964 relations and 18928027 unique ideals
  130. Sat Sep 3 22:43:09 2022 reduce to 18867084 relations and 18172051 ideals in 7 passes
  131. Sat Sep 3 22:43:09 2022 max relations containing the same ideal: 67
  132. Sat Sep 3 22:43:17 2022 relations with 0 large ideals: 1973
  133. Sat Sep 3 22:43:17 2022 relations with 1 large ideals: 14046
  134. Sat Sep 3 22:43:17 2022 relations with 2 large ideals: 180515
  135. Sat Sep 3 22:43:17 2022 relations with 3 large ideals: 986483
  136. Sat Sep 3 22:43:17 2022 relations with 4 large ideals: 2827358
  137. Sat Sep 3 22:43:17 2022 relations with 5 large ideals: 4766721
  138. Sat Sep 3 22:43:17 2022 relations with 6 large ideals: 5022891
  139. Sat Sep 3 22:43:17 2022 relations with 7+ large ideals: 5067097
  140. Sat Sep 3 22:43:17 2022 commencing 2-way merge
  141. Sat Sep 3 22:43:25 2022 reduce to 13326630 relation sets and 12631597 unique ideals
  142. Sat Sep 3 22:43:25 2022 commencing full merge
  143. Sat Sep 3 22:47:42 2022 memory use: 1554.9 MB
  144. Sat Sep 3 22:47:43 2022 found 5650896 cycles, need 5629797
  145. Sat Sep 3 22:47:45 2022 weight of 5629797 cycles is about 788592125 (140.07/cycle)
  146. Sat Sep 3 22:47:45 2022 distribution of cycle lengths:
  147. Sat Sep 3 22:47:45 2022 1 relations: 84599
  148. Sat Sep 3 22:47:45 2022 2 relations: 227907
  149. Sat Sep 3 22:47:45 2022 3 relations: 312711
  150. Sat Sep 3 22:47:45 2022 4 relations: 354733
  151. Sat Sep 3 22:47:45 2022 5 relations: 393737
  152. Sat Sep 3 22:47:45 2022 6 relations: 408125
  153. Sat Sep 3 22:47:45 2022 7 relations: 414358
  154. Sat Sep 3 22:47:45 2022 8 relations: 403244
  155. Sat Sep 3 22:47:45 2022 9 relations: 387539
  156. Sat Sep 3 22:47:45 2022 10+ relations: 2642844
  157. Sat Sep 3 22:47:45 2022 heaviest cycle: 28 relations
  158. Sat Sep 3 22:47:46 2022 commencing cycle optimization
  159. Sat Sep 3 22:47:58 2022 start with 56011812 relations
  160. Sat Sep 3 22:50:04 2022 pruned 3530443 relations
  161. Sat Sep 3 22:50:05 2022 memory use: 1356.2 MB
  162. Sat Sep 3 22:50:05 2022 distribution of cycle lengths:
  163. Sat Sep 3 22:50:05 2022 1 relations: 84599
  164. Sat Sep 3 22:50:05 2022 2 relations: 236053
  165. Sat Sep 3 22:50:05 2022 3 relations: 330013
  166. Sat Sep 3 22:50:05 2022 4 relations: 376293
  167. Sat Sep 3 22:50:05 2022 5 relations: 422720
  168. Sat Sep 3 22:50:05 2022 6 relations: 438434
  169. Sat Sep 3 22:50:05 2022 7 relations: 447460
  170. Sat Sep 3 22:50:05 2022 8 relations: 434423
  171. Sat Sep 3 22:50:05 2022 9 relations: 416018
  172. Sat Sep 3 22:50:05 2022 10+ relations: 2443784
  173. Sat Sep 3 22:50:05 2022 heaviest cycle: 28 relations
  174. Sat Sep 3 22:50:16 2022 RelProcTime: 1507
  175. Sat Sep 3 22:50:16 2022
  176. Sat Sep 3 22:50:16 2022 commencing linear algebra
  177. Sat Sep 3 22:50:16 2022 using VBITS=256
  178. Sat Sep 3 22:50:17 2022 read 5629797 cycles
  179. Sat Sep 3 22:50:30 2022 cycles contain 18570374 unique relations
  180. Sat Sep 3 22:52:25 2022 read 18570374 relations
  181. Sat Sep 3 22:52:28 2022 using 20 quadratic characters above 4294917295
  182. Sat Sep 3 22:52:34 2022 building initial matrix
  183. Sat Sep 3 22:56:52 2022 memory use: 2623.2 MB
  184. Sat Sep 3 22:56:55 2022 read 5629797 cycles
  185. Sat Sep 3 22:56:56 2022 matrix is 5629618 x 5629797 (2975.5 MB) with weight 900086255 (159.88/col)
  186. Sat Sep 3 22:56:56 2022 sparse part has weight 712454764 (126.55/col)
  187. Sat Sep 3 22:58:02 2022 filtering completed in 2 passes
  188. Sat Sep 3 22:58:03 2022 matrix is 5629588 x 5629767 (2975.5 MB) with weight 900084969 (159.88/col)
  189. Sat Sep 3 22:58:03 2022 sparse part has weight 712454504 (126.55/col)
  190. Sat Sep 3 22:58:37 2022 matrix starts at (0, 0)
  191. Sat Sep 3 22:58:38 2022 matrix is 5629588 x 5629767 (2975.5 MB) with weight 900084969 (159.88/col)
  192. Sat Sep 3 22:58:38 2022 sparse part has weight 712454504 (126.55/col)
  193. Sat Sep 3 22:58:38 2022 saving the first 240 matrix rows for later
  194. Sat Sep 3 22:58:40 2022 matrix includes 256 packed rows
  195. Sat Sep 3 22:58:41 2022 matrix is 5629348 x 5629767 (2660.8 MB) with weight 650869939 (115.61/col)
  196. Sat Sep 3 22:58:41 2022 sparse part has weight 607436286 (107.90/col)
  197. Sat Sep 3 22:58:41 2022 using block size 8192 and superblock size 878592 for processor cache size 36608 kB
  198. Sat Sep 3 22:58:56 2022 commencing Lanczos iteration (16 threads)
  199. Sat Sep 3 22:58:56 2022 memory use: 3517.2 MB
  200. Sat Sep 3 23:01:14 2022 linear algebra at 0.5%, ETA 6h57m
  201. Sat Sep 3 23:04:38 2022 checking every 10000 dimensions, checkpointing every 820000 dimensions
  202. Sun Sep 4 05:55:41 2022 lanczos halted after 22058 iterations (dim = 5629348)
  203. Sun Sep 4 05:56:02 2022 recovered 30 nontrivial dependencies
  204. Sun Sep 4 05:56:02 2022 BLanczosTime: 25546
  205. Sun Sep 4 05:56:02 2022
  206. Sun Sep 4 05:56:02 2022 commencing square root phase
  207. Sun Sep 4 05:56:02 2022 handling dependencies 1 to 64
  208. Sun Sep 4 05:56:02 2022 reading relations for dependency 1
  209. Sun Sep 4 05:56:02 2022 read 2814135 cycles
  210. Sun Sep 4 05:56:08 2022 cycles contain 9281936 unique relations
  211. Sun Sep 4 05:58:35 2022 read 9281936 relations
  212. Sun Sep 4 05:59:28 2022 multiplying 9281936 relations
  213. Sun Sep 4 06:06:58 2022 multiply complete, coefficients have about 518.74 million bits
  214. Sun Sep 4 06:07:01 2022 initial square root is modulo 2031333053
  215. Sun Sep 4 06:12:47 2022 sqrtTime: 1005
  216. Sun Sep 4 06:12:47 2022 p62 factor: 12575188779598952086402502753071556702402887580040674997065569
  217. Sun Sep 4 06:12:47 2022 p104 factor: 10348687792224720078427300835294516902060575386725474900491292889422266921821440017043419597903767302501
  218. Sun Sep 4 06:12:47 2022 elapsed time 07:47:39
  219.  
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