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gchilders

77797_245

Mar 2nd, 2022
297
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  1. Wed Mar 2 01:51:17 2022
  2. Wed Mar 2 01:51:17 2022
  3. Wed Mar 2 01:51:17 2022 Msieve v. 1.54 (SVN unknown)
  4. Wed Mar 2 01:51:17 2022 random seeds: ab868be9 9ef50e14
  5. Wed Mar 2 01:51:17 2022 MPI process 0 of 1
  6. Wed Mar 2 01:51:17 2022 factoring 77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797 (245 digits)
  7. Wed Mar 2 01:51:17 2022 no P-1/P+1/ECM available, skipping
  8. Wed Mar 2 01:51:17 2022 commencing number field sieve (245-digit input)
  9. Wed Mar 2 01:51:17 2022 R0: -100000000000000000000000000000000000000000
  10. Wed Mar 2 01:51:17 2022 R1: 1
  11. Wed Mar 2 01:51:17 2022 A0: 1730
  12. Wed Mar 2 01:51:17 2022 A1: 0
  13. Wed Mar 2 01:51:17 2022 A2: 0
  14. Wed Mar 2 01:51:17 2022 A3: 0
  15. Wed Mar 2 01:51:17 2022 A4: 0
  16. Wed Mar 2 01:51:17 2022 A5: 0
  17. Wed Mar 2 01:51:17 2022 A6: 7
  18. Wed Mar 2 01:51:17 2022 skew 2.51, size 1.880e-12, alpha 0.676, combined = 1.928e-13 rroots = 0
  19. Wed Mar 2 01:51:17 2022
  20. Wed Mar 2 01:51:17 2022 commencing relation filtering
  21. Wed Mar 2 01:51:17 2022 setting target matrix density to 120.0
  22. Wed Mar 2 01:51:17 2022 estimated available RAM is 192123.6 MB
  23. Wed Mar 2 01:51:17 2022 commencing duplicate removal, pass 1
  24. Wed Mar 2 02:36:00 2022 skipped 72 relations with b > 2^32
  25. Wed Mar 2 02:36:00 2022 skipped 51 relations with composite factors
  26. Wed Mar 2 02:36:00 2022 found 38100369 hash collisions in 187335377 relations
  27. Wed Mar 2 02:36:29 2022 added 1220896 free relations
  28. Wed Mar 2 02:36:29 2022 commencing duplicate removal, pass 2
  29. Wed Mar 2 02:42:49 2022 found 39046633 duplicates and 149509640 unique relations
  30. Wed Mar 2 02:42:49 2022 memory use: 1321.5 MB
  31. Wed Mar 2 02:42:49 2022 reading ideals above 720000
  32. Wed Mar 2 02:42:49 2022 commencing singleton removal, initial pass
  33. Wed Mar 2 03:19:38 2022 memory use: 3012.0 MB
  34. Wed Mar 2 03:19:38 2022 reading all ideals from disk
  35. Wed Mar 2 03:19:50 2022 memory use: 6008.2 MB
  36. Wed Mar 2 03:20:11 2022 keeping 132306989 ideals with weight <= 200, target excess is 816469
  37. Wed Mar 2 03:20:37 2022 commencing in-memory singleton removal
  38. Wed Mar 2 03:20:54 2022 begin with 149509640 relations and 132306989 unique ideals
  39. Wed Mar 2 03:22:31 2022 reduce to 102010489 relations and 80584071 ideals in 12 passes
  40. Wed Mar 2 03:22:31 2022 max relations containing the same ideal: 163
  41. Wed Mar 2 03:23:06 2022 removing 9254785 relations and 7254785 ideals in 2000000 cliques
  42. Wed Mar 2 03:23:09 2022 commencing in-memory singleton removal
  43. Wed Mar 2 03:23:15 2022 begin with 92755704 relations and 80584071 unique ideals
  44. Wed Mar 2 03:23:58 2022 reduce to 92132731 relations and 72691449 ideals in 8 passes
  45. Wed Mar 2 03:23:58 2022 max relations containing the same ideal: 154
  46. Wed Mar 2 03:24:28 2022 removing 7222480 relations and 5222480 ideals in 2000000 cliques
  47. Wed Mar 2 03:24:31 2022 commencing in-memory singleton removal
  48. Wed Mar 2 03:24:35 2022 begin with 84910251 relations and 72691449 unique ideals
  49. Wed Mar 2 03:25:16 2022 reduce to 84473897 relations and 67023289 ideals in 8 passes
  50. Wed Mar 2 03:25:16 2022 max relations containing the same ideal: 144
  51. Wed Mar 2 03:25:43 2022 removing 6655107 relations and 4655107 ideals in 2000000 cliques
  52. Wed Mar 2 03:25:46 2022 commencing in-memory singleton removal
  53. Wed Mar 2 03:25:50 2022 begin with 77818790 relations and 67023289 unique ideals
  54. Wed Mar 2 03:26:17 2022 reduce to 77427554 relations and 61968462 ideals in 6 passes
  55. Wed Mar 2 03:26:17 2022 max relations containing the same ideal: 137
  56. Wed Mar 2 03:26:42 2022 removing 6378030 relations and 4378030 ideals in 2000000 cliques
  57. Wed Mar 2 03:26:45 2022 commencing in-memory singleton removal
  58. Wed Mar 2 03:26:49 2022 begin with 71049524 relations and 61968462 unique ideals
  59. Wed Mar 2 03:27:20 2022 reduce to 70672498 relations and 57204659 ideals in 7 passes
  60. Wed Mar 2 03:27:20 2022 max relations containing the same ideal: 129
  61. Wed Mar 2 03:27:43 2022 removing 6209956 relations and 4209956 ideals in 2000000 cliques
  62. Wed Mar 2 03:27:45 2022 commencing in-memory singleton removal
  63. Wed Mar 2 03:27:49 2022 begin with 64462542 relations and 57204659 unique ideals
  64. Wed Mar 2 03:28:15 2022 reduce to 64085284 relations and 52608081 ideals in 7 passes
  65. Wed Mar 2 03:28:15 2022 max relations containing the same ideal: 123
  66. Wed Mar 2 03:28:36 2022 removing 6102916 relations and 4102916 ideals in 2000000 cliques
  67. Wed Mar 2 03:28:38 2022 commencing in-memory singleton removal
  68. Wed Mar 2 03:28:41 2022 begin with 57982368 relations and 52608081 unique ideals
  69. Wed Mar 2 03:29:05 2022 reduce to 57589627 relations and 48102028 ideals in 7 passes
  70. Wed Mar 2 03:29:05 2022 max relations containing the same ideal: 112
  71. Wed Mar 2 03:29:24 2022 removing 6035416 relations and 4035416 ideals in 2000000 cliques
  72. Wed Mar 2 03:29:26 2022 commencing in-memory singleton removal
  73. Wed Mar 2 03:29:29 2022 begin with 51554211 relations and 48102028 unique ideals
  74. Wed Mar 2 03:29:47 2022 reduce to 51137635 relations and 43637876 ideals in 6 passes
  75. Wed Mar 2 03:29:47 2022 max relations containing the same ideal: 103
  76. Wed Mar 2 03:30:04 2022 removing 5999348 relations and 3999348 ideals in 2000000 cliques
  77. Wed Mar 2 03:30:06 2022 commencing in-memory singleton removal
  78. Wed Mar 2 03:30:08 2022 begin with 45138287 relations and 43637876 unique ideals
  79. Wed Mar 2 03:30:24 2022 reduce to 44683732 relations and 39169013 ideals in 6 passes
  80. Wed Mar 2 03:30:24 2022 max relations containing the same ideal: 94
  81. Wed Mar 2 03:30:39 2022 removing 5985492 relations and 3985492 ideals in 2000000 cliques
  82. Wed Mar 2 03:30:41 2022 commencing in-memory singleton removal
  83. Wed Mar 2 03:30:43 2022 begin with 38698240 relations and 39169013 unique ideals
  84. Wed Mar 2 03:30:58 2022 reduce to 38184259 relations and 34650424 ideals in 7 passes
  85. Wed Mar 2 03:30:58 2022 max relations containing the same ideal: 86
  86. Wed Mar 2 03:31:11 2022 removing 6000931 relations and 4000931 ideals in 2000000 cliques
  87. Wed Mar 2 03:31:13 2022 commencing in-memory singleton removal
  88. Wed Mar 2 03:31:15 2022 begin with 32183328 relations and 34650424 unique ideals
  89. Wed Mar 2 03:31:29 2022 reduce to 31570036 relations and 30009470 ideals in 8 passes
  90. Wed Mar 2 03:31:29 2022 max relations containing the same ideal: 75
  91. Wed Mar 2 03:31:40 2022 removing 2313779 relations and 1700318 ideals in 613461 cliques
  92. Wed Mar 2 03:31:41 2022 commencing in-memory singleton removal
  93. Wed Mar 2 03:31:43 2022 begin with 29256257 relations and 30009470 unique ideals
  94. Wed Mar 2 03:31:52 2022 reduce to 29132470 relations and 28183173 ideals in 6 passes
  95. Wed Mar 2 03:31:52 2022 max relations containing the same ideal: 72
  96. Wed Mar 2 03:32:06 2022 relations with 0 large ideals: 31269
  97. Wed Mar 2 03:32:06 2022 relations with 1 large ideals: 12714
  98. Wed Mar 2 03:32:06 2022 relations with 2 large ideals: 164833
  99. Wed Mar 2 03:32:06 2022 relations with 3 large ideals: 997142
  100. Wed Mar 2 03:32:06 2022 relations with 4 large ideals: 3263105
  101. Wed Mar 2 03:32:06 2022 relations with 5 large ideals: 6341767
  102. Wed Mar 2 03:32:06 2022 relations with 6 large ideals: 7729859
  103. Wed Mar 2 03:32:06 2022 relations with 7+ large ideals: 10591781
  104. Wed Mar 2 03:32:06 2022 commencing 2-way merge
  105. Wed Mar 2 03:32:21 2022 reduce to 19707340 relation sets and 18758043 unique ideals
  106. Wed Mar 2 03:32:21 2022 commencing full merge
  107. Wed Mar 2 03:37:36 2022 memory use: 2528.0 MB
  108. Wed Mar 2 03:37:38 2022 found 9025797 cycles, need 8940243
  109. Wed Mar 2 03:37:40 2022 weight of 8940243 cycles is about 1073140433 (120.03/cycle)
  110. Wed Mar 2 03:37:40 2022 distribution of cycle lengths:
  111. Wed Mar 2 03:37:40 2022 1 relations: 347840
  112. Wed Mar 2 03:37:40 2022 2 relations: 507768
  113. Wed Mar 2 03:37:40 2022 3 relations: 622805
  114. Wed Mar 2 03:37:40 2022 4 relations: 663468
  115. Wed Mar 2 03:37:40 2022 5 relations: 692345
  116. Wed Mar 2 03:37:40 2022 6 relations: 695869
  117. Wed Mar 2 03:37:40 2022 7 relations: 686364
  118. Wed Mar 2 03:37:40 2022 8 relations: 655260
  119. Wed Mar 2 03:37:40 2022 9 relations: 613264
  120. Wed Mar 2 03:37:40 2022 10+ relations: 3455260
  121. Wed Mar 2 03:37:40 2022 heaviest cycle: 28 relations
  122. Wed Mar 2 03:37:43 2022 commencing cycle optimization
  123. Wed Mar 2 03:37:58 2022 start with 77228456 relations
  124. Wed Mar 2 03:40:06 2022 pruned 3888645 relations
  125. Wed Mar 2 03:40:06 2022 memory use: 2004.5 MB
  126. Wed Mar 2 03:40:06 2022 distribution of cycle lengths:
  127. Wed Mar 2 03:40:06 2022 1 relations: 347840
  128. Wed Mar 2 03:40:06 2022 2 relations: 521588
  129. Wed Mar 2 03:40:06 2022 3 relations: 651337
  130. Wed Mar 2 03:40:06 2022 4 relations: 694773
  131. Wed Mar 2 03:40:06 2022 5 relations: 732779
  132. Wed Mar 2 03:40:06 2022 6 relations: 736421
  133. Wed Mar 2 03:40:06 2022 7 relations: 729068
  134. Wed Mar 2 03:40:06 2022 8 relations: 692377
  135. Wed Mar 2 03:40:06 2022 9 relations: 646585
  136. Wed Mar 2 03:40:06 2022 10+ relations: 3187475
  137. Wed Mar 2 03:40:06 2022 heaviest cycle: 27 relations
  138. Wed Mar 2 03:40:22 2022 RelProcTime: 6545
  139. Wed Mar 2 03:40:22 2022 elapsed time 01:49:05
  140. Wed Mar 2 13:52:48 2022
  141. Wed Mar 2 13:52:48 2022
  142. Wed Mar 2 13:52:48 2022 Msieve v. 1.54 (SVN Unversioned directory)
  143. Wed Mar 2 13:52:48 2022 random seeds: 47609354 27adb35f
  144. Wed Mar 2 13:52:48 2022 MPI process 0 of 160
  145. Wed Mar 2 13:52:48 2022 factoring 77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797 (245 digits)
  146. Wed Mar 2 13:52:52 2022 no P-1/P+1/ECM available, skipping
  147. Wed Mar 2 13:52:52 2022 commencing number field sieve (245-digit input)
  148. Wed Mar 2 13:52:52 2022 R0: -100000000000000000000000000000000000000000
  149. Wed Mar 2 13:52:52 2022 R1: 1
  150. Wed Mar 2 13:52:52 2022 A0: 1730
  151. Wed Mar 2 13:52:52 2022 A1: 0
  152. Wed Mar 2 13:52:52 2022 A2: 0
  153. Wed Mar 2 13:52:52 2022 A3: 0
  154. Wed Mar 2 13:52:52 2022 A4: 0
  155. Wed Mar 2 13:52:52 2022 A5: 0
  156. Wed Mar 2 13:52:52 2022 A6: 7
  157. Wed Mar 2 13:52:52 2022 skew 2.51, size 1.880e-12, alpha 0.676, combined = 1.928e-13 rroots = 0
  158. Wed Mar 2 13:52:52 2022
  159. Wed Mar 2 13:52:52 2022 commencing linear algebra
  160. Wed Mar 2 13:52:52 2022 using VBITS=128
  161. Wed Mar 2 13:52:53 2022 initialized process (0,0) of 10 x 16 grid
  162. Wed Mar 2 13:52:56 2022 read 8940243 cycles
  163. Wed Mar 2 13:53:45 2022 cycles contain 28684641 unique relations
  164. Wed Mar 2 14:07:08 2022 read 28684641 relations
  165. Wed Mar 2 14:09:21 2022 using 20 quadratic characters above 4294917295
  166. Wed Mar 2 14:13:42 2022 building initial matrix
  167. Wed Mar 2 14:34:59 2022 memory use: 3806.5 MB
  168. Wed Mar 2 14:35:17 2022 read 8940243 cycles
  169. Wed Mar 2 14:35:19 2022 matrix is 8940066 x 8940243 (4176.5 MB) with weight 1199651480 (134.19/col)
  170. Wed Mar 2 14:35:19 2022 sparse part has weight 996509202 (111.46/col)
  171. Wed Mar 2 14:39:47 2022 filtering completed in 2 passes
  172. Wed Mar 2 14:39:49 2022 matrix is 8939820 x 8939995 (4176.5 MB) with weight 1199641996 (134.19/col)
  173. Wed Mar 2 14:39:49 2022 sparse part has weight 996505467 (111.47/col)
  174. Wed Mar 2 14:41:08 2022 matrix starts at (0, 0)
  175. Wed Mar 2 14:41:08 2022 matrix is 894090 x 456366 (51.0 MB) with weight 18371809 (40.26/col)
  176. Wed Mar 2 14:41:08 2022 sparse part has weight 8353497 (18.30/col)
  177. Wed Mar 2 14:41:08 2022 saving the first 112 matrix rows for later
  178. Wed Mar 2 14:41:08 2022 matrix includes 128 packed rows
  179. Wed Mar 2 14:41:09 2022 matrix is 893978 x 456366 (40.0 MB) with weight 6289253 (13.78/col)
  180. Wed Mar 2 14:41:09 2022 sparse part has weight 5014029 (10.99/col)
  181. Wed Mar 2 14:41:09 2022 using block size 8192 and superblock size 393216 for processor cache size 8192 kB
  182. Wed Mar 2 14:41:09 2022 commencing Lanczos iteration (12 threads)
  183. Wed Mar 2 14:41:09 2022 memory use: 57.1 MB
  184. Wed Mar 2 14:41:12 2022 linear algebra at 0.0%, ETA 1h37m
  185. Wed Mar 2 14:41:12 2022 checkpointing every 7350000 dimensions
  186. Wed Mar 2 15:35:13 2022 lanczos halted after 70263 iterations (dim = 8939706)
  187. Wed Mar 2 15:36:50 2022 recovered 34 nontrivial dependencies
  188. Wed Mar 2 15:36:50 2022 BLanczosTime: 6238
  189. Wed Mar 2 15:36:50 2022 elapsed time 01:44:02
  190. Wed Mar 2 20:43:27 2022
  191. Wed Mar 2 20:43:27 2022
  192. Wed Mar 2 20:43:27 2022 Msieve v. 1.54 (SVN unknown)
  193. Wed Mar 2 20:43:27 2022 random seeds: 2533521b 0b1544fa
  194. Wed Mar 2 20:43:27 2022 MPI process 0 of 1
  195. Wed Mar 2 20:43:27 2022 factoring 77777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777777797 (245 digits)
  196. Wed Mar 2 20:43:29 2022 no P-1/P+1/ECM available, skipping
  197. Wed Mar 2 20:43:29 2022 commencing number field sieve (245-digit input)
  198. Wed Mar 2 20:43:29 2022 R0: -100000000000000000000000000000000000000000
  199. Wed Mar 2 20:43:29 2022 R1: 1
  200. Wed Mar 2 20:43:29 2022 A0: 1730
  201. Wed Mar 2 20:43:29 2022 A1: 0
  202. Wed Mar 2 20:43:29 2022 A2: 0
  203. Wed Mar 2 20:43:29 2022 A3: 0
  204. Wed Mar 2 20:43:29 2022 A4: 0
  205. Wed Mar 2 20:43:29 2022 A5: 0
  206. Wed Mar 2 20:43:29 2022 A6: 7
  207. Wed Mar 2 20:43:29 2022 skew 2.51, size 1.880e-12, alpha 0.676, combined = 1.928e-13 rroots = 0
  208. Wed Mar 2 20:43:29 2022
  209. Wed Mar 2 20:43:29 2022 commencing square root phase
  210. Wed Mar 2 20:43:29 2022 reading relations for dependency 1
  211. Wed Mar 2 20:43:31 2022 read 4471211 cycles
  212. Wed Mar 2 20:43:45 2022 cycles contain 14343858 unique relations
  213. Wed Mar 2 20:53:41 2022 read 14343858 relations
  214. Wed Mar 2 20:56:59 2022 multiplying 14343858 relations
  215. Wed Mar 2 21:22:23 2022 multiply complete, coefficients have about 418.53 million bits
  216. Wed Mar 2 21:22:28 2022 initial square root is modulo 32348149
  217. Wed Mar 2 21:49:37 2022 found factor: 4882789028635792026413305378586359581181455957360847552903030662693114180774058209921036906735240074324695215792827073787
  218. Wed Mar 2 21:49:37 2022 reading relations for dependency 2
  219. Wed Mar 2 21:49:46 2022 read 4471120 cycles
  220. Wed Mar 2 21:50:04 2022 cycles contain 14347906 unique relations
  221. Wed Mar 2 22:00:03 2022 read 14347906 relations
  222. Wed Mar 2 22:02:47 2022 multiplying 14347906 relations
  223. Wed Mar 2 22:27:42 2022 multiply complete, coefficients have about 418.65 million bits
  224. Wed Mar 2 22:27:46 2022 initial square root is modulo 32507611
  225. Wed Mar 2 22:54:55 2022 GCD is 1, no factor found
  226. Wed Mar 2 22:54:55 2022 reading relations for dependency 3
  227. Wed Mar 2 22:55:01 2022 read 4471240 cycles
  228. Wed Mar 2 22:55:19 2022 cycles contain 14348030 unique relations
  229. Wed Mar 2 23:05:18 2022 read 14348030 relations
  230. Wed Mar 2 23:08:03 2022 multiplying 14348030 relations
  231. Wed Mar 2 23:25:07 2022 multiply complete, coefficients have about 418.65 million bits
  232. Wed Mar 2 23:25:10 2022 initial square root is modulo 32503873
  233. Wed Mar 2 23:43:01 2022 sqrtTime: 10772
  234. Wed Mar 2 23:43:01 2022 p56 factor: 37829188773303163572546892548202020846907692861236542711
  235. Wed Mar 2 23:43:01 2022 p69 factor: 421076051983384643164855796751984549071323689956638437217269528859321
  236. Wed Mar 2 23:43:01 2022 p121 factor: 4882789028635792026413305378586359581181455957360847552903030662693114180774058209921036906735240074324695215792827073787
  237. Wed Mar 2 23:43:01 2022 elapsed time 02:59:34
  238.  
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