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May 30th, 2021
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  1. Thu May 27 14:48:51 2021
  2. Thu May 27 14:48:51 2021
  3. Thu May 27 14:48:51 2021 Msieve v. 1.54 (SVN 1040M)
  4. Thu May 27 14:48:51 2021 random seeds: a4bb2e88 a4c14500
  5. Thu May 27 14:48:51 2021 factoring 223770917916106538972398097362335539626311535483880572332016567128046365691108534091408538901666468242020817315858290031140024824460060682414510665880411852470253581860289392394763100861769687902573 (198 digits)
  6. Thu May 27 14:48:52 2021 searching for 15-digit factors
  7. Thu May 27 14:48:52 2021 commencing number field sieve (198-digit input)
  8. Thu May 27 14:48:52 2021 R0: 54763699237492901685126120802225273763666521
  9. Thu May 27 14:48:52 2021 R1: -4398046511104
  10. Thu May 27 14:48:52 2021 A0: 11
  11. Thu May 27 14:48:52 2021 A1: 0
  12. Thu May 27 14:48:52 2021 A2: 0
  13. Thu May 27 14:48:52 2021 A3: 0
  14. Thu May 27 14:48:52 2021 A4: 0
  15. Thu May 27 14:48:52 2021 A5: 0
  16. Thu May 27 14:48:52 2021 A6: 2
  17. Thu May 27 14:48:52 2021 skew 1.33, size 6.489e-13, alpha 0.932, combined = 8.363e-14 rroots = 0
  18. Thu May 27 14:48:52 2021
  19. Thu May 27 14:48:52 2021 commencing relation filtering
  20. Thu May 27 14:48:52 2021 setting target matrix density to 130.0
  21. Thu May 27 14:48:52 2021 estimated available RAM is 32768.0 MB
  22. Thu May 27 14:48:52 2021 commencing duplicate removal, pass 1
  23. Thu May 27 14:52:40 2021 error -11 reading relation 35723099
  24. Thu May 27 14:53:42 2021 error -15 reading relation 45393998
  25. Thu May 27 14:56:12 2021 error -15 reading relation 68827033
  26. Thu May 27 15:06:39 2021 error -15 reading relation 165553693
  27. Thu May 27 15:11:08 2021 skipped 588 relations with b > 2^32
  28. Thu May 27 15:11:08 2021 skipped 2 relations with composite factors
  29. Thu May 27 15:11:08 2021 found 9327517 hash collisions in 206610387 relations
  30. Thu May 27 15:11:19 2021 added 1219161 free relations
  31. Thu May 27 15:11:19 2021 commencing duplicate removal, pass 2
  32. Thu May 27 15:20:06 2021 found 0 duplicates and 207829548 unique relations
  33. Thu May 27 15:20:06 2021 memory use: 522.4 MB
  34. Thu May 27 15:20:06 2021 reading ideals above 167444480
  35. Thu May 27 15:20:06 2021 commencing singleton removal, initial pass
  36. Thu May 27 15:36:41 2021 memory use: 5512.0 MB
  37. Thu May 27 15:36:42 2021 reading all ideals from disk
  38. Thu May 27 15:38:10 2021 memory use: 3822.7 MB
  39. Thu May 27 15:38:18 2021 commencing in-memory singleton removal
  40. Thu May 27 15:38:26 2021 begin with 207829548 relations and 165685852 unique ideals
  41. Thu May 27 15:39:41 2021 reduce to 149503688 relations and 102504860 ideals in 13 passes
  42. Thu May 27 15:39:41 2021 max relations containing the same ideal: 46
  43. Thu May 27 15:39:59 2021 reading ideals above 720000
  44. Thu May 27 15:39:59 2021 commencing singleton removal, initial pass
  45. Thu May 27 15:56:25 2021 memory use: 3012.0 MB
  46. Thu May 27 15:56:26 2021 reading all ideals from disk
  47. Thu May 27 15:58:49 2021 memory use: 6193.7 MB
  48. Thu May 27 15:59:03 2021 keeping 120442017 ideals with weight <= 200, target excess is 797519
  49. Thu May 27 15:59:18 2021 commencing in-memory singleton removal
  50. Thu May 27 15:59:30 2021 begin with 149503688 relations and 120442017 unique ideals
  51. Thu May 27 16:00:34 2021 reduce to 149501064 relations and 120439393 ideals in 6 passes
  52. Thu May 27 16:00:34 2021 max relations containing the same ideal: 200
  53. Thu May 27 16:01:38 2021 removing 10407774 relations and 8407774 ideals in 2000000 cliques
  54. Thu May 27 16:01:43 2021 commencing in-memory singleton removal
  55. Thu May 27 16:01:53 2021 begin with 139093290 relations and 120439393 unique ideals
  56. Thu May 27 16:03:13 2021 reduce to 138502926 relations and 111431014 ideals in 8 passes
  57. Thu May 27 16:03:13 2021 max relations containing the same ideal: 197
  58. Thu May 27 16:04:12 2021 removing 8029095 relations and 6029095 ideals in 2000000 cliques
  59. Thu May 27 16:04:17 2021 commencing in-memory singleton removal
  60. Thu May 27 16:04:27 2021 begin with 130473831 relations and 111431014 unique ideals
  61. Thu May 27 16:05:41 2021 reduce to 130078071 relations and 105000164 ideals in 8 passes
  62. Thu May 27 16:05:41 2021 max relations containing the same ideal: 193
  63. Thu May 27 16:06:37 2021 removing 7326331 relations and 5326331 ideals in 2000000 cliques
  64. Thu May 27 16:06:41 2021 commencing in-memory singleton removal
  65. Thu May 27 16:06:51 2021 begin with 122751740 relations and 105000164 unique ideals
  66. Thu May 27 16:08:01 2021 reduce to 122404654 relations and 99321531 ideals in 7 passes
  67. Thu May 27 16:08:01 2021 max relations containing the same ideal: 185
  68. Thu May 27 16:08:57 2021 removing 6971045 relations and 4971046 ideals in 2000000 cliques
  69. Thu May 27 16:09:01 2021 commencing in-memory singleton removal
  70. Thu May 27 16:09:10 2021 begin with 115433609 relations and 99321531 unique ideals
  71. Thu May 27 16:10:09 2021 reduce to 115107077 relations and 94019025 ideals in 7 passes
  72. Thu May 27 16:10:09 2021 max relations containing the same ideal: 179
  73. Thu May 27 16:11:01 2021 removing 6755543 relations and 4755543 ideals in 2000000 cliques
  74. Thu May 27 16:11:06 2021 commencing in-memory singleton removal
  75. Thu May 27 16:11:14 2021 begin with 108351534 relations and 94019025 unique ideals
  76. Thu May 27 16:12:16 2021 reduce to 108032603 relations and 88939405 ideals in 8 passes
  77. Thu May 27 16:12:16 2021 max relations containing the same ideal: 174
  78. Thu May 27 16:13:06 2021 removing 6615550 relations and 4615550 ideals in 2000000 cliques
  79. Thu May 27 16:13:10 2021 commencing in-memory singleton removal
  80. Thu May 27 16:13:17 2021 begin with 101417053 relations and 88939405 unique ideals
  81. Thu May 27 16:14:00 2021 reduce to 101099022 relations and 84000525 ideals in 6 passes
  82. Thu May 27 16:14:00 2021 max relations containing the same ideal: 165
  83. Thu May 27 16:14:45 2021 removing 6521590 relations and 4521590 ideals in 2000000 cliques
  84. Thu May 27 16:14:48 2021 commencing in-memory singleton removal
  85. Thu May 27 16:14:55 2021 begin with 94577432 relations and 84000525 unique ideals
  86. Thu May 27 16:15:42 2021 reduce to 94255380 relations and 79151090 ideals in 7 passes
  87. Thu May 27 16:15:42 2021 max relations containing the same ideal: 160
  88. Thu May 27 16:16:24 2021 removing 6461617 relations and 4461617 ideals in 2000000 cliques
  89. Thu May 27 16:16:28 2021 commencing in-memory singleton removal
  90. Thu May 27 16:16:34 2021 begin with 87793763 relations and 79151090 unique ideals
  91. Thu May 27 16:17:23 2021 reduce to 87461074 relations and 74350570 ideals in 8 passes
  92. Thu May 27 16:17:23 2021 max relations containing the same ideal: 151
  93. Thu May 27 16:18:02 2021 removing 6422620 relations and 4422620 ideals in 2000000 cliques
  94. Thu May 27 16:18:05 2021 commencing in-memory singleton removal
  95. Thu May 27 16:18:12 2021 begin with 81038454 relations and 74350570 unique ideals
  96. Thu May 27 16:18:45 2021 reduce to 80690909 relations and 69573443 ideals in 6 passes
  97. Thu May 27 16:18:45 2021 max relations containing the same ideal: 144
  98. Thu May 27 16:19:22 2021 removing 6404080 relations and 4404080 ideals in 2000000 cliques
  99. Thu May 27 16:19:25 2021 commencing in-memory singleton removal
  100. Thu May 27 16:19:31 2021 begin with 74286829 relations and 69573443 unique ideals
  101. Thu May 27 16:20:06 2021 reduce to 73919705 relations and 64794491 ideals in 7 passes
  102. Thu May 27 16:20:06 2021 max relations containing the same ideal: 133
  103. Thu May 27 16:20:40 2021 removing 6401555 relations and 4401555 ideals in 2000000 cliques
  104. Thu May 27 16:20:43 2021 commencing in-memory singleton removal
  105. Thu May 27 16:20:48 2021 begin with 67518150 relations and 64794491 unique ideals
  106. Thu May 27 16:21:25 2021 reduce to 67124511 relations and 59990140 ideals in 8 passes
  107. Thu May 27 16:21:25 2021 max relations containing the same ideal: 125
  108. Thu May 27 16:21:56 2021 removing 6410930 relations and 4410930 ideals in 2000000 cliques
  109. Thu May 27 16:21:59 2021 commencing in-memory singleton removal
  110. Thu May 27 16:22:03 2021 begin with 60713581 relations and 59990140 unique ideals
  111. Thu May 27 16:22:32 2021 reduce to 60282837 relations and 55137547 ideals in 7 passes
  112. Thu May 27 16:22:32 2021 max relations containing the same ideal: 115
  113. Thu May 27 16:23:00 2021 removing 6439316 relations and 4439316 ideals in 2000000 cliques
  114. Thu May 27 16:23:03 2021 commencing in-memory singleton removal
  115. Thu May 27 16:23:07 2021 begin with 53843521 relations and 55137547 unique ideals
  116. Thu May 27 16:23:32 2021 reduce to 53364703 relations and 50205992 ideals in 7 passes
  117. Thu May 27 16:23:32 2021 max relations containing the same ideal: 108
  118. Thu May 27 16:23:57 2021 removing 6485610 relations and 4485610 ideals in 2000000 cliques
  119. Thu May 27 16:24:00 2021 commencing in-memory singleton removal
  120. Thu May 27 16:24:03 2021 begin with 46879093 relations and 50205992 unique ideals
  121. Thu May 27 16:24:28 2021 reduce to 46320568 relations and 45144338 ideals in 8 passes
  122. Thu May 27 16:24:28 2021 max relations containing the same ideal: 98
  123. Thu May 27 16:24:50 2021 removing 1196509 relations and 945402 ideals in 251107 cliques
  124. Thu May 27 16:24:52 2021 commencing in-memory singleton removal
  125. Thu May 27 16:24:55 2021 begin with 45124059 relations and 45144338 unique ideals
  126. Thu May 27 16:25:12 2021 reduce to 45103515 relations and 44178298 ideals in 6 passes
  127. Thu May 27 16:25:12 2021 max relations containing the same ideal: 96
  128. Thu May 27 16:25:20 2021 relations with 0 large ideals: 30098
  129. Thu May 27 16:25:20 2021 relations with 1 large ideals: 8520
  130. Thu May 27 16:25:20 2021 relations with 2 large ideals: 100785
  131. Thu May 27 16:25:20 2021 relations with 3 large ideals: 741136
  132. Thu May 27 16:25:20 2021 relations with 4 large ideals: 2987361
  133. Thu May 27 16:25:20 2021 relations with 5 large ideals: 7274013
  134. Thu May 27 16:25:20 2021 relations with 6 large ideals: 11228863
  135. Thu May 27 16:25:20 2021 relations with 7+ large ideals: 22732739
  136. Thu May 27 16:25:20 2021 commencing 2-way merge
  137. Thu May 27 16:25:50 2021 reduce to 30604667 relation sets and 29679450 unique ideals
  138. Thu May 27 16:25:50 2021 commencing full merge
  139. Thu May 27 16:39:44 2021 memory use: 4079.0 MB
  140. Thu May 27 16:39:52 2021 found 13641402 cycles, need 13623650
  141. Thu May 27 16:39:52 2021 weight of 13623650 cycles is about 1771382416 (130.02/cycle)
  142. Thu May 27 16:39:52 2021 distribution of cycle lengths:
  143. Thu May 27 16:39:52 2021 1 relations: 460659
  144. Thu May 27 16:39:52 2021 2 relations: 732116
  145. Thu May 27 16:39:52 2021 3 relations: 900979
  146. Thu May 27 16:39:52 2021 4 relations: 949378
  147. Thu May 27 16:39:52 2021 5 relations: 987977
  148. Thu May 27 16:39:52 2021 6 relations: 988776
  149. Thu May 27 16:39:52 2021 7 relations: 971526
  150. Thu May 27 16:39:52 2021 8 relations: 940475
  151. Thu May 27 16:39:52 2021 9 relations: 888002
  152. Thu May 27 16:39:52 2021 10+ relations: 5803762
  153. Thu May 27 16:39:52 2021 heaviest cycle: 28 relations
  154. Thu May 27 16:39:59 2021 commencing cycle optimization
  155. Thu May 27 16:40:34 2021 start with 126412995 relations
  156. Thu May 27 16:47:06 2021 pruned 6564470 relations
  157. Thu May 27 16:47:06 2021 memory use: 3183.5 MB
  158. Thu May 27 16:47:06 2021 distribution of cycle lengths:
  159. Thu May 27 16:47:06 2021 1 relations: 460659
  160. Thu May 27 16:47:06 2021 2 relations: 752089
  161. Thu May 27 16:47:06 2021 3 relations: 942525
  162. Thu May 27 16:47:06 2021 4 relations: 994117
  163. Thu May 27 16:47:06 2021 5 relations: 1044070
  164. Thu May 27 16:47:06 2021 6 relations: 1042763
  165. Thu May 27 16:47:06 2021 7 relations: 1029914
  166. Thu May 27 16:47:06 2021 8 relations: 992758
  167. Thu May 27 16:47:06 2021 9 relations: 936963
  168. Thu May 27 16:47:06 2021 10+ relations: 5427792
  169. Thu May 27 16:47:06 2021 heaviest cycle: 28 relations
  170. Thu May 27 16:47:54 2021 RelProcTime: 7142
  171. Thu May 27 16:47:54 2021
  172. Thu May 27 16:47:54 2021 commencing linear algebra
  173. Thu May 27 16:47:56 2021 read 13623650 cycles
  174. Thu May 27 16:48:30 2021 cycles contain 44682496 unique relations
  175. Thu May 27 16:57:21 2021 read 44682496 relations
  176. Thu May 27 16:59:37 2021 using 20 quadratic characters above 4294917295
  177. Thu May 27 17:02:38 2021 building initial matrix
  178. Thu May 27 17:11:59 2021 memory use: 5893.9 MB
  179. Thu May 27 17:14:49 2021 read 13623650 cycles
  180. Thu May 27 17:14:50 2021 matrix is 13623473 x 13623650 (6820.0 MB) with weight 1966085973 (144.31/col)
  181. Thu May 27 17:14:50 2021 sparse part has weight 1637959064 (120.23/col)
  182. Thu May 27 17:17:34 2021 filtering completed in 2 passes
  183. Thu May 27 17:17:36 2021 matrix is 13623404 x 13623581 (6820.0 MB) with weight 1966083480 (144.31/col)
  184. Thu May 27 17:17:36 2021 sparse part has weight 1637958269 (120.23/col)
  185. Thu May 27 17:20:54 2021 matrix starts at (0, 0)
  186. Thu May 27 17:20:56 2021 matrix is 13623404 x 13623581 (6820.0 MB) with weight 1966083480 (144.31/col)
  187. Thu May 27 17:20:56 2021 sparse part has weight 1637958269 (120.23/col)
  188. Thu May 27 17:20:56 2021 saving the first 48 matrix rows for later
  189. Thu May 27 17:20:58 2021 matrix includes 64 packed rows
  190. Thu May 27 17:20:59 2021 matrix is 13623356 x 13623581 (6557.7 MB) with weight 1701184124 (124.87/col)
  191. Thu May 27 17:20:59 2021 sparse part has weight 1582821455 (116.18/col)
  192. Thu May 27 17:20:59 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  193. Thu May 27 17:22:03 2021 commencing Lanczos iteration (16 threads)
  194. Thu May 27 17:22:03 2021 memory use: 6272.3 MB
  195. Thu May 27 17:22:24 2021 linear algebra at 0.0%, ETA 49h59m
  196. Thu May 27 17:22:30 2021 checkpointing every 280000 dimensions
  197. Sat May 29 17:38:17 2021 lanczos halted after 215435 iterations (dim = 13623356)
  198. Sat May 29 17:38:28 2021 recovered 41 nontrivial dependencies
  199. Sat May 29 17:38:34 2021 BLanczosTime: 175840
  200. Sat May 29 17:38:34 2021
  201. Sat May 29 17:38:34 2021 commencing square root phase
  202. Sat May 29 17:38:34 2021 handling dependencies 1 to 64
  203. Sat May 29 17:38:34 2021 reading relations for dependency 1
  204. Sat May 29 17:38:46 2021 read 6811334 cycles
  205. Sat May 29 17:39:00 2021 cycles contain 22346486 unique relations
  206. Sat May 29 17:47:48 2021 read 22346486 relations
  207. Sat May 29 17:49:29 2021 multiplying 22346486 relations
  208. Sat May 29 18:03:23 2021 multiply complete, coefficients have about 611.89 million bits
  209. Sat May 29 18:03:25 2021 initial square root is modulo 308809
  210. Sat May 29 18:17:15 2021 sqrtTime: 2321
  211. Sat May 29 18:17:15 2021 p78 factor: 327097982698738024087780616906671055097103068547871134004301537286675767592309
  212. Sat May 29 18:17:15 2021 p120 factor: 684109746168024499386118227801218109265276095273944978856261670001465961760262747451125447776955295224547231950825225497
  213. Sat May 29 18:17:15 2021 elapsed time 51:28:24
  214.  
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