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Feb 7th, 2021
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  1. Sat Feb 6 21:48:48 2021
  2. Sat Feb 6 21:48:48 2021
  3. Sat Feb 6 21:48:48 2021 Msieve v. 1.53 (SVN 988M)
  4. Sat Feb 6 21:48:48 2021 random seeds: c9cb1fd9 b304e1f6
  5. Sat Feb 6 21:48:48 2021 factoring 209649066987717486906488923118498733717405333195578813534457502570447922749750518359044579735510094734647260922537029706586754473585326370854873486194979743077861986240595435733808141177437281474634606647426501476311143 (219 digits)
  6. Sat Feb 6 21:48:49 2021 searching for 15-digit factors
  7. Sat Feb 6 21:48:50 2021 commencing number field sieve (219-digit input)
  8. Sat Feb 6 21:48:50 2021 R0: 4978518112499354698647829163838661251242411
  9. Sat Feb 6 21:48:50 2021 R1: -36472996377170786403
  10. Sat Feb 6 21:48:50 2021 A0: 1
  11. Sat Feb 6 21:48:50 2021 A1: 1
  12. Sat Feb 6 21:48:50 2021 A2: 1
  13. Sat Feb 6 21:48:50 2021 A3: 1
  14. Sat Feb 6 21:48:50 2021 A4: 1
  15. Sat Feb 6 21:48:50 2021 A5: 1
  16. Sat Feb 6 21:48:50 2021 A6: 1
  17. Sat Feb 6 21:48:50 2021 skew 1.00, size 1.229e-12, alpha 2.428, combined = 1.350e-13 rroots = 0
  18. Sat Feb 6 21:48:50 2021
  19. Sat Feb 6 21:48:50 2021 commencing relation filtering
  20. Sat Feb 6 21:48:50 2021 setting target matrix density to 130.0
  21. Sat Feb 6 21:48:50 2021 estimated available RAM is 32768.0 MB
  22. Sat Feb 6 21:48:50 2021 commencing duplicate removal, pass 1
  23. Sat Feb 6 21:58:54 2021 error -5 reading relation 95185179
  24. Sat Feb 6 21:58:54 2021 error -1 reading relation 95188649
  25. Sat Feb 6 21:59:12 2021 error -15 reading relation 98148004
  26. Sat Feb 6 22:10:56 2021 skipped 590 relations with b > 2^32
  27. Sat Feb 6 22:10:56 2021 skipped 2 relations with composite factors
  28. Sat Feb 6 22:10:56 2021 found 9968696 hash collisions in 213791096 relations
  29. Sat Feb 6 22:11:01 2021 added 2438534 free relations
  30. Sat Feb 6 22:11:01 2021 commencing duplicate removal, pass 2
  31. Sat Feb 6 22:12:03 2021 found 1 duplicates and 216229629 unique relations
  32. Sat Feb 6 22:12:03 2021 memory use: 522.4 MB
  33. Sat Feb 6 22:12:03 2021 reading ideals above 164954112
  34. Sat Feb 6 22:12:03 2021 commencing singleton removal, initial pass
  35. Sat Feb 6 22:28:10 2021 memory use: 3012.0 MB
  36. Sat Feb 6 22:28:10 2021 reading all ideals from disk
  37. Sat Feb 6 22:29:36 2021 memory use: 3645.1 MB
  38. Sat Feb 6 22:29:44 2021 commencing in-memory singleton removal
  39. Sat Feb 6 22:29:50 2021 begin with 216229629 relations and 163806497 unique ideals
  40. Sat Feb 6 22:31:14 2021 reduce to 156870438 relations and 99561547 ideals in 12 passes
  41. Sat Feb 6 22:31:14 2021 max relations containing the same ideal: 40
  42. Sat Feb 6 22:31:32 2021 reading ideals above 720000
  43. Sat Feb 6 22:31:33 2021 commencing singleton removal, initial pass
  44. Sat Feb 6 22:47:46 2021 memory use: 3012.0 MB
  45. Sat Feb 6 22:47:46 2021 reading all ideals from disk
  46. Sat Feb 6 22:50:17 2021 memory use: 6382.5 MB
  47. Sat Feb 6 22:50:31 2021 keeping 117181582 ideals with weight <= 200, target excess is 852816
  48. Sat Feb 6 22:50:46 2021 commencing in-memory singleton removal
  49. Sat Feb 6 22:50:56 2021 begin with 156870438 relations and 117181582 unique ideals
  50. Sat Feb 6 22:52:09 2021 reduce to 156869965 relations and 117181109 ideals in 6 passes
  51. Sat Feb 6 22:52:09 2021 max relations containing the same ideal: 200
  52. Sat Feb 6 22:53:05 2021 removing 9650908 relations and 7650908 ideals in 2000000 cliques
  53. Sat Feb 6 22:53:08 2021 commencing in-memory singleton removal
  54. Sat Feb 6 22:53:18 2021 begin with 147219057 relations and 117181109 unique ideals
  55. Sat Feb 6 22:54:38 2021 reduce to 146777443 relations and 109081410 ideals in 7 passes
  56. Sat Feb 6 22:54:38 2021 max relations containing the same ideal: 199
  57. Sat Feb 6 22:55:31 2021 removing 7396291 relations and 5396291 ideals in 2000000 cliques
  58. Sat Feb 6 22:55:34 2021 commencing in-memory singleton removal
  59. Sat Feb 6 22:55:43 2021 begin with 139381152 relations and 109081410 unique ideals
  60. Sat Feb 6 22:57:09 2021 reduce to 139084134 relations and 103383833 ideals in 8 passes
  61. Sat Feb 6 22:57:09 2021 max relations containing the same ideal: 195
  62. Sat Feb 6 22:57:59 2021 removing 6740919 relations and 4740919 ideals in 2000000 cliques
  63. Sat Feb 6 22:58:02 2021 commencing in-memory singleton removal
  64. Sat Feb 6 22:58:10 2021 begin with 132343215 relations and 103383833 unique ideals
  65. Sat Feb 6 22:59:11 2021 reduce to 132085322 relations and 98381366 ideals in 6 passes
  66. Sat Feb 6 22:59:11 2021 max relations containing the same ideal: 188
  67. Sat Feb 6 22:59:58 2021 removing 6401308 relations and 4401308 ideals in 2000000 cliques
  68. Sat Feb 6 23:00:01 2021 commencing in-memory singleton removal
  69. Sat Feb 6 23:00:09 2021 begin with 125684014 relations and 98381366 unique ideals
  70. Sat Feb 6 23:01:07 2021 reduce to 125445572 relations and 93738344 ideals in 6 passes
  71. Sat Feb 6 23:01:07 2021 max relations containing the same ideal: 183
  72. Sat Feb 6 23:01:52 2021 removing 6188192 relations and 4188192 ideals in 2000000 cliques
  73. Sat Feb 6 23:01:55 2021 commencing in-memory singleton removal
  74. Sat Feb 6 23:02:03 2021 begin with 119257380 relations and 93738344 unique ideals
  75. Sat Feb 6 23:03:06 2021 reduce to 119032945 relations and 89322433 ideals in 7 passes
  76. Sat Feb 6 23:03:06 2021 max relations containing the same ideal: 176
  77. Sat Feb 6 23:03:49 2021 removing 6035594 relations and 4035594 ideals in 2000000 cliques
  78. Sat Feb 6 23:03:52 2021 commencing in-memory singleton removal
  79. Sat Feb 6 23:03:59 2021 begin with 112997351 relations and 89322433 unique ideals
  80. Sat Feb 6 23:04:50 2021 reduce to 112778202 relations and 85064349 ideals in 6 passes
  81. Sat Feb 6 23:04:50 2021 max relations containing the same ideal: 171
  82. Sat Feb 6 23:05:32 2021 removing 5921539 relations and 3921539 ideals in 2000000 cliques
  83. Sat Feb 6 23:05:34 2021 commencing in-memory singleton removal
  84. Sat Feb 6 23:05:41 2021 begin with 106856663 relations and 85064349 unique ideals
  85. Sat Feb 6 23:06:37 2021 reduce to 106640819 relations and 80923429 ideals in 7 passes
  86. Sat Feb 6 23:06:37 2021 max relations containing the same ideal: 165
  87. Sat Feb 6 23:07:16 2021 removing 5839363 relations and 3839363 ideals in 2000000 cliques
  88. Sat Feb 6 23:07:18 2021 commencing in-memory singleton removal
  89. Sat Feb 6 23:07:25 2021 begin with 100801456 relations and 80923429 unique ideals
  90. Sat Feb 6 23:08:10 2021 reduce to 100584771 relations and 76863700 ideals in 6 passes
  91. Sat Feb 6 23:08:10 2021 max relations containing the same ideal: 161
  92. Sat Feb 6 23:08:47 2021 removing 5770913 relations and 3770913 ideals in 2000000 cliques
  93. Sat Feb 6 23:08:50 2021 commencing in-memory singleton removal
  94. Sat Feb 6 23:08:56 2021 begin with 94813858 relations and 76863700 unique ideals
  95. Sat Feb 6 23:09:38 2021 reduce to 94594249 relations and 72869102 ideals in 6 passes
  96. Sat Feb 6 23:09:38 2021 max relations containing the same ideal: 156
  97. Sat Feb 6 23:10:13 2021 removing 5722647 relations and 3722647 ideals in 2000000 cliques
  98. Sat Feb 6 23:10:15 2021 commencing in-memory singleton removal
  99. Sat Feb 6 23:10:21 2021 begin with 88871602 relations and 72869102 unique ideals
  100. Sat Feb 6 23:10:54 2021 reduce to 88646632 relations and 68917191 ideals in 5 passes
  101. Sat Feb 6 23:10:54 2021 max relations containing the same ideal: 146
  102. Sat Feb 6 23:11:27 2021 removing 5682972 relations and 3682972 ideals in 2000000 cliques
  103. Sat Feb 6 23:11:29 2021 commencing in-memory singleton removal
  104. Sat Feb 6 23:11:34 2021 begin with 82963660 relations and 68917191 unique ideals
  105. Sat Feb 6 23:12:17 2021 reduce to 82731578 relations and 64997407 ideals in 7 passes
  106. Sat Feb 6 23:12:17 2021 max relations containing the same ideal: 141
  107. Sat Feb 6 23:12:48 2021 removing 5654079 relations and 3654079 ideals in 2000000 cliques
  108. Sat Feb 6 23:12:50 2021 commencing in-memory singleton removal
  109. Sat Feb 6 23:12:55 2021 begin with 77077499 relations and 64997407 unique ideals
  110. Sat Feb 6 23:13:28 2021 reduce to 76835489 relations and 61096105 ideals in 6 passes
  111. Sat Feb 6 23:13:28 2021 max relations containing the same ideal: 135
  112. Sat Feb 6 23:13:57 2021 removing 5636612 relations and 3636612 ideals in 2000000 cliques
  113. Sat Feb 6 23:13:59 2021 commencing in-memory singleton removal
  114. Sat Feb 6 23:14:03 2021 begin with 71198877 relations and 61096105 unique ideals
  115. Sat Feb 6 23:14:39 2021 reduce to 70942779 relations and 57197480 ideals in 7 passes
  116. Sat Feb 6 23:14:39 2021 max relations containing the same ideal: 126
  117. Sat Feb 6 23:15:05 2021 removing 5628365 relations and 3628365 ideals in 2000000 cliques
  118. Sat Feb 6 23:15:07 2021 commencing in-memory singleton removal
  119. Sat Feb 6 23:15:11 2021 begin with 65314414 relations and 57197480 unique ideals
  120. Sat Feb 6 23:15:49 2021 reduce to 65042719 relations and 53290740 ideals in 8 passes
  121. Sat Feb 6 23:15:49 2021 max relations containing the same ideal: 119
  122. Sat Feb 6 23:16:13 2021 removing 5626499 relations and 3626499 ideals in 2000000 cliques
  123. Sat Feb 6 23:16:15 2021 commencing in-memory singleton removal
  124. Sat Feb 6 23:16:18 2021 begin with 59416220 relations and 53290740 unique ideals
  125. Sat Feb 6 23:16:44 2021 reduce to 59123491 relations and 49363809 ideals in 6 passes
  126. Sat Feb 6 23:16:44 2021 max relations containing the same ideal: 111
  127. Sat Feb 6 23:17:05 2021 removing 5634280 relations and 3634280 ideals in 2000000 cliques
  128. Sat Feb 6 23:17:07 2021 commencing in-memory singleton removal
  129. Sat Feb 6 23:17:10 2021 begin with 53489211 relations and 49363809 unique ideals
  130. Sat Feb 6 23:17:37 2021 reduce to 53168922 relations and 45400127 ideals in 7 passes
  131. Sat Feb 6 23:17:37 2021 max relations containing the same ideal: 105
  132. Sat Feb 6 23:17:56 2021 removing 5648323 relations and 3648323 ideals in 2000000 cliques
  133. Sat Feb 6 23:17:58 2021 commencing in-memory singleton removal
  134. Sat Feb 6 23:18:01 2021 begin with 47520599 relations and 45400127 unique ideals
  135. Sat Feb 6 23:18:24 2021 reduce to 47164009 relations and 41383926 ideals in 7 passes
  136. Sat Feb 6 23:18:24 2021 max relations containing the same ideal: 94
  137. Sat Feb 6 23:18:42 2021 removing 5677967 relations and 3677967 ideals in 2000000 cliques
  138. Sat Feb 6 23:18:44 2021 commencing in-memory singleton removal
  139. Sat Feb 6 23:18:46 2021 begin with 41486042 relations and 41383926 unique ideals
  140. Sat Feb 6 23:19:06 2021 reduce to 41075893 relations and 37281331 ideals in 7 passes
  141. Sat Feb 6 23:19:06 2021 max relations containing the same ideal: 86
  142. Sat Feb 6 23:19:22 2021 removing 5724857 relations and 3724857 ideals in 2000000 cliques
  143. Sat Feb 6 23:19:23 2021 commencing in-memory singleton removal
  144. Sat Feb 6 23:19:25 2021 begin with 35351036 relations and 37281331 unique ideals
  145. Sat Feb 6 23:19:42 2021 reduce to 34850914 relations and 33036481 ideals in 7 passes
  146. Sat Feb 6 23:19:42 2021 max relations containing the same ideal: 79
  147. Sat Feb 6 23:19:55 2021 removing 2779096 relations and 1953930 ideals in 825166 cliques
  148. Sat Feb 6 23:19:56 2021 commencing in-memory singleton removal
  149. Sat Feb 6 23:19:58 2021 begin with 32071818 relations and 33036481 unique ideals
  150. Sat Feb 6 23:20:13 2021 reduce to 31902945 relations and 30910165 ideals in 7 passes
  151. Sat Feb 6 23:20:13 2021 max relations containing the same ideal: 73
  152. Sat Feb 6 23:20:29 2021 relations with 0 large ideals: 65296
  153. Sat Feb 6 23:20:29 2021 relations with 1 large ideals: 13810
  154. Sat Feb 6 23:20:29 2021 relations with 2 large ideals: 159897
  155. Sat Feb 6 23:20:29 2021 relations with 3 large ideals: 987948
  156. Sat Feb 6 23:20:29 2021 relations with 4 large ideals: 3301082
  157. Sat Feb 6 23:20:29 2021 relations with 5 large ideals: 6589419
  158. Sat Feb 6 23:20:29 2021 relations with 6 large ideals: 8277592
  159. Sat Feb 6 23:20:29 2021 relations with 7+ large ideals: 12507901
  160. Sat Feb 6 23:20:29 2021 commencing 2-way merge
  161. Sat Feb 6 23:20:46 2021 reduce to 21988197 relation sets and 20995417 unique ideals
  162. Sat Feb 6 23:20:46 2021 commencing full merge
  163. Sat Feb 6 23:29:15 2021 memory use: 2957.3 MB
  164. Sat Feb 6 23:29:20 2021 found 9777479 cycles, need 9755617
  165. Sat Feb 6 23:29:21 2021 weight of 9755617 cycles is about 1268897293 (130.07/cycle)
  166. Sat Feb 6 23:29:21 2021 distribution of cycle lengths:
  167. Sat Feb 6 23:29:21 2021 1 relations: 329304
  168. Sat Feb 6 23:29:21 2021 2 relations: 450173
  169. Sat Feb 6 23:29:21 2021 3 relations: 563104
  170. Sat Feb 6 23:29:21 2021 4 relations: 621196
  171. Sat Feb 6 23:29:21 2021 5 relations: 669047
  172. Sat Feb 6 23:29:21 2021 6 relations: 688401
  173. Sat Feb 6 23:29:21 2021 7 relations: 693748
  174. Sat Feb 6 23:29:21 2021 8 relations: 680668
  175. Sat Feb 6 23:29:21 2021 9 relations: 654163
  176. Sat Feb 6 23:29:21 2021 10+ relations: 4405813
  177. Sat Feb 6 23:29:21 2021 heaviest cycle: 28 relations
  178. Sat Feb 6 23:29:25 2021 commencing cycle optimization
  179. Sat Feb 6 23:29:48 2021 start with 93900667 relations
  180. Sat Feb 6 23:33:58 2021 pruned 5319576 relations
  181. Sat Feb 6 23:33:58 2021 memory use: 2291.4 MB
  182. Sat Feb 6 23:33:58 2021 distribution of cycle lengths:
  183. Sat Feb 6 23:33:58 2021 1 relations: 329304
  184. Sat Feb 6 23:33:58 2021 2 relations: 460773
  185. Sat Feb 6 23:33:58 2021 3 relations: 587228
  186. Sat Feb 6 23:33:58 2021 4 relations: 650396
  187. Sat Feb 6 23:33:58 2021 5 relations: 709349
  188. Sat Feb 6 23:33:58 2021 6 relations: 730881
  189. Sat Feb 6 23:33:58 2021 7 relations: 742780
  190. Sat Feb 6 23:33:58 2021 8 relations: 728573
  191. Sat Feb 6 23:33:58 2021 9 relations: 698948
  192. Sat Feb 6 23:33:58 2021 10+ relations: 4117385
  193. Sat Feb 6 23:33:58 2021 heaviest cycle: 28 relations
  194. Sat Feb 6 23:34:28 2021 RelProcTime: 6338
  195. Sat Feb 6 23:34:28 2021
  196. Sat Feb 6 23:34:28 2021 commencing linear algebra
  197. Sat Feb 6 23:34:29 2021 read 9755617 cycles
  198. Sat Feb 6 23:34:52 2021 cycles contain 31460492 unique relations
  199. Sat Feb 6 23:44:11 2021 read 31460492 relations
  200. Sat Feb 6 23:45:17 2021 using 20 quadratic characters above 4294917295
  201. Sat Feb 6 23:47:03 2021 building initial matrix
  202. Sat Feb 6 23:52:51 2021 memory use: 3967.0 MB
  203. Sat Feb 6 23:54:53 2021 read 9755617 cycles
  204. Sat Feb 6 23:54:54 2021 matrix is 9755440 x 9755617 (4873.6 MB) with weight 1381524949 (141.61/col)
  205. Sat Feb 6 23:54:54 2021 sparse part has weight 1170285217 (119.96/col)
  206. Sat Feb 6 23:56:36 2021 filtering completed in 2 passes
  207. Sat Feb 6 23:56:38 2021 matrix is 9755382 x 9755559 (4873.6 MB) with weight 1381523021 (141.61/col)
  208. Sat Feb 6 23:56:38 2021 sparse part has weight 1170284430 (119.96/col)
  209. Sat Feb 6 23:58:57 2021 matrix starts at (0, 0)
  210. Sat Feb 6 23:58:58 2021 matrix is 9755382 x 9755559 (4873.6 MB) with weight 1381523021 (141.61/col)
  211. Sat Feb 6 23:58:58 2021 sparse part has weight 1170284430 (119.96/col)
  212. Sat Feb 6 23:58:58 2021 saving the first 48 matrix rows for later
  213. Sat Feb 6 23:59:00 2021 matrix includes 64 packed rows
  214. Sat Feb 6 23:59:00 2021 matrix is 9755334 x 9755559 (4673.6 MB) with weight 1202442441 (123.26/col)
  215. Sat Feb 6 23:59:00 2021 sparse part has weight 1127594791 (115.58/col)
  216. Sat Feb 6 23:59:00 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  217. Sat Feb 6 23:59:52 2021 commencing Lanczos iteration (16 threads)
  218. Sat Feb 6 23:59:52 2021 memory use: 4007.9 MB
  219. Sun Feb 7 00:00:04 2021 linear algebra at 0.0%, ETA 19h35m
  220. Sun Feb 7 00:00:07 2021 checkpointing every 530000 dimensions
  221. Sun Feb 7 19:16:50 2021 lanczos halted after 154265 iterations (dim = 9755332)
  222. Sun Feb 7 19:16:57 2021 recovered 38 nontrivial dependencies
  223. Sun Feb 7 19:17:00 2021 BLanczosTime: 70952
  224. Sun Feb 7 19:17:00 2021
  225. Sun Feb 7 19:17:00 2021 commencing square root phase
  226. Sun Feb 7 19:17:00 2021 handling dependencies 1 to 64
  227. Sun Feb 7 19:17:00 2021 reading relations for dependency 1
  228. Sun Feb 7 19:17:09 2021 read 4877485 cycles
  229. Sun Feb 7 19:17:19 2021 cycles contain 15728024 unique relations
  230. Sun Feb 7 19:26:31 2021 read 15728024 relations
  231. Sun Feb 7 19:27:37 2021 multiplying 15728024 relations
  232. Sun Feb 7 19:35:54 2021 multiply complete, coefficients have about 406.86 million bits
  233. Sun Feb 7 19:35:56 2021 initial square root is modulo 19974169
  234. Sun Feb 7 19:45:14 2021 GCD is 1, no factor found
  235. Sun Feb 7 19:45:14 2021 reading relations for dependency 2
  236. Sun Feb 7 19:45:25 2021 read 4878323 cycles
  237. Sun Feb 7 19:45:35 2021 cycles contain 15736192 unique relations
  238. Sun Feb 7 19:54:47 2021 read 15736192 relations
  239. Sun Feb 7 19:55:53 2021 multiplying 15736192 relations
  240. Sun Feb 7 20:04:23 2021 multiply complete, coefficients have about 407.08 million bits
  241. Sun Feb 7 20:04:25 2021 initial square root is modulo 20152907
  242. Sun Feb 7 20:13:37 2021 GCD is 1, no factor found
  243. Sun Feb 7 20:13:37 2021 reading relations for dependency 3
  244. Sun Feb 7 20:13:47 2021 read 4876430 cycles
  245. Sun Feb 7 20:13:58 2021 cycles contain 15727330 unique relations
  246. Sun Feb 7 20:23:10 2021 read 15727330 relations
  247. Sun Feb 7 20:24:15 2021 multiplying 15727330 relations
  248. Sun Feb 7 20:32:45 2021 multiply complete, coefficients have about 406.86 million bits
  249. Sun Feb 7 20:32:47 2021 initial square root is modulo 19967419
  250. Sun Feb 7 20:42:06 2021 sqrtTime: 5106
  251. Sun Feb 7 20:42:06 2021 p89 factor: 18496624888322543022162761135950249087378640019521785169232653369425835250009897448220711
  252. Sun Feb 7 20:42:06 2021 p131 factor: 11334449839012253379750850115590851931407639251455981875901167693027597380204675612957714969947288512057425522593541626471627582913
  253. Sun Feb 7 20:42:06 2021 elapsed time 22:53:18
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