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12_384p1

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Aug 6th, 2023
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  1. Wed Jul 26 21:17:25 2023
  2. Wed Jul 26 21:17:25 2023
  3. Wed Jul 26 21:17:25 2023 Msieve v. 1.54 (SVN 1046M)
  4. Wed Jul 26 21:17:25 2023 random seeds: 7c7f4dea 71811c31
  5. Wed Jul 26 21:17:25 2023 factoring 387357984691438291437371258786102644642257015488017122423123025630023316632028534755655587009026500363261256938696452769954888593770532353675537383846752434305077394709171766233859500019173016067714878293683201 (210 digits)
  6. Wed Jul 26 21:17:26 2023 no P-1/P+1/ECM available, skipping
  7. Wed Jul 26 21:17:26 2023 commencing number field sieve (210-digit input)
  8. Wed Jul 26 21:17:26 2023 R0: -12698826347252906933035007995329968173706379264
  9. Wed Jul 26 21:17:26 2023 R1: 1
  10. Wed Jul 26 21:17:26 2023 A0: 9
  11. Wed Jul 26 21:17:26 2023 A1: 0
  12. Wed Jul 26 21:17:26 2023 A2: 0
  13. Wed Jul 26 21:17:26 2023 A3: -6
  14. Wed Jul 26 21:17:26 2023 A4: 0
  15. Wed Jul 26 21:17:26 2023 A5: 0
  16. Wed Jul 26 21:17:26 2023 A6: 4
  17. Wed Jul 26 21:17:26 2023 skew 1.55, size 1.391e-13, alpha 0.594, combined = 2.588e-14 rroots = 0
  18. Wed Jul 26 21:17:26 2023
  19. Wed Jul 26 21:17:26 2023 commencing relation filtering
  20. Wed Jul 26 21:17:26 2023 setting target matrix density to 120.0
  21. Wed Jul 26 21:17:26 2023 estimated available RAM is 128725.0 MB
  22. Wed Jul 26 21:17:26 2023 commencing duplicate removal, pass 1
  23. Wed Jul 26 21:30:48 2023 error -5 reading relation 97629200
  24. Wed Jul 26 21:35:15 2023 error -15 reading relation 130554204
  25. Wed Jul 26 21:42:27 2023 error -15 reading relation 183970862
  26. Wed Jul 26 21:43:06 2023 error -11 reading relation 188856786
  27. Wed Jul 26 21:43:06 2023 error -15 reading relation 188856942
  28. Wed Jul 26 21:43:06 2023 error -11 reading relation 188857208
  29. Wed Jul 26 21:43:06 2023 error -11 reading relation 188857409
  30. Wed Jul 26 21:43:06 2023 error -15 reading relation 188857511
  31. Wed Jul 26 21:43:06 2023 error -15 reading relation 188857958
  32. Wed Jul 26 21:43:06 2023 error -11 reading relation 188858673
  33. Wed Jul 26 21:43:06 2023 error -11 reading relation 188858943
  34. Wed Jul 26 21:43:06 2023 error -11 reading relation 188859039
  35. Wed Jul 26 21:43:06 2023 error -11 reading relation 188859244
  36. Wed Jul 26 21:43:06 2023 error -15 reading relation 188859293
  37. Wed Jul 26 21:43:06 2023 error -15 reading relation 188859346
  38. Wed Jul 26 21:43:06 2023 error -11 reading relation 188860599
  39. Wed Jul 26 21:43:06 2023 error -15 reading relation 188860727
  40. Wed Jul 26 21:43:06 2023 error -15 reading relation 188861174
  41. Wed Jul 26 21:43:06 2023 error -15 reading relation 188861649
  42. Wed Jul 26 21:43:06 2023 error -11 reading relation 188861967
  43. Wed Jul 26 21:43:06 2023 error -15 reading relation 188862088
  44. Wed Jul 26 21:43:06 2023 error -15 reading relation 188862150
  45. Wed Jul 26 21:43:06 2023 error -11 reading relation 188862910
  46. Wed Jul 26 21:43:06 2023 error -1 reading relation 188863950
  47. Wed Jul 26 21:43:06 2023 error -15 reading relation 188864212
  48. Wed Jul 26 21:43:06 2023 error -11 reading relation 188865102
  49. Wed Jul 26 21:43:06 2023 error -11 reading relation 188865941
  50. Wed Jul 26 21:46:29 2023 error -15 reading relation 213834961
  51. Wed Jul 26 21:49:40 2023 error -15 reading relation 237392426
  52. Wed Jul 26 21:53:12 2023 error -11 reading relation 263446536
  53. Wed Jul 26 21:54:05 2023 error -11 reading relation 270029588
  54. Wed Jul 26 22:05:00 2023 skipped 1558 relations with b > 2^32
  55. Wed Jul 26 22:05:00 2023 skipped 17 relations with composite factors
  56. Wed Jul 26 22:05:00 2023 found 25719222 hash collisions in 350314226 relations
  57. Wed Jul 26 22:05:11 2023 added 812838 free relations
  58. Wed Jul 26 22:05:11 2023 commencing duplicate removal, pass 2
  59. Wed Jul 26 22:06:56 2023 found 2 duplicates and 351127062 unique relations
  60. Wed Jul 26 22:06:56 2023 memory use: 1257.5 MB
  61. Wed Jul 26 22:06:56 2023 reading ideals above 720000
  62. Wed Jul 26 22:06:56 2023 commencing singleton removal, initial pass
  63. Wed Jul 26 22:51:37 2023 memory use: 11024.0 MB
  64. Wed Jul 26 22:51:38 2023 reading all ideals from disk
  65. Wed Jul 26 22:51:49 2023 memory use: 14995.4 MB
  66. Wed Jul 26 22:52:08 2023 keeping 340894673 ideals with weight <= 200, target excess is 1802096
  67. Wed Jul 26 22:52:40 2023 commencing in-memory singleton removal
  68. Wed Jul 26 22:52:55 2023 begin with 351127062 relations and 340894673 unique ideals
  69. Wed Jul 26 22:56:16 2023 reduce to 215450437 relations and 190554894 ideals in 17 passes
  70. Wed Jul 26 22:56:16 2023 max relations containing the same ideal: 153
  71. Wed Jul 26 22:57:23 2023 removing 15207470 relations and 13207470 ideals in 2000000 cliques
  72. Wed Jul 26 22:57:31 2023 commencing in-memory singleton removal
  73. Wed Jul 26 22:57:40 2023 begin with 200242967 relations and 190554894 unique ideals
  74. Wed Jul 26 22:59:21 2023 reduce to 199331647 relations and 176423897 ideals in 10 passes
  75. Wed Jul 26 22:59:21 2023 max relations containing the same ideal: 147
  76. Wed Jul 26 23:00:24 2023 removing 11446792 relations and 9446792 ideals in 2000000 cliques
  77. Wed Jul 26 23:00:31 2023 commencing in-memory singleton removal
  78. Wed Jul 26 23:00:39 2023 begin with 187884855 relations and 176423897 unique ideals
  79. Wed Jul 26 23:01:55 2023 reduce to 187308923 relations and 166394828 ideals in 8 passes
  80. Wed Jul 26 23:01:55 2023 max relations containing the same ideal: 141
  81. Wed Jul 26 23:02:54 2023 removing 10287812 relations and 8287812 ideals in 2000000 cliques
  82. Wed Jul 26 23:03:01 2023 commencing in-memory singleton removal
  83. Wed Jul 26 23:03:09 2023 begin with 177021111 relations and 166394828 unique ideals
  84. Wed Jul 26 23:04:29 2023 reduce to 176524852 relations and 157605355 ideals in 9 passes
  85. Wed Jul 26 23:04:29 2023 max relations containing the same ideal: 134
  86. Wed Jul 26 23:05:25 2023 removing 9684212 relations and 7684212 ideals in 2000000 cliques
  87. Wed Jul 26 23:05:31 2023 commencing in-memory singleton removal
  88. Wed Jul 26 23:05:38 2023 begin with 166840640 relations and 157605355 unique ideals
  89. Wed Jul 26 23:06:46 2023 reduce to 166375717 relations and 149451217 ideals in 8 passes
  90. Wed Jul 26 23:06:46 2023 max relations containing the same ideal: 130
  91. Wed Jul 26 23:07:39 2023 removing 9308783 relations and 7308783 ideals in 2000000 cliques
  92. Wed Jul 26 23:07:45 2023 commencing in-memory singleton removal
  93. Wed Jul 26 23:07:51 2023 begin with 157066934 relations and 149451217 unique ideals
  94. Wed Jul 26 23:08:55 2023 reduce to 156613982 relations and 141684293 ideals in 8 passes
  95. Wed Jul 26 23:08:55 2023 max relations containing the same ideal: 128
  96. Wed Jul 26 23:09:45 2023 removing 9062638 relations and 7062638 ideals in 2000000 cliques
  97. Wed Jul 26 23:09:51 2023 commencing in-memory singleton removal
  98. Wed Jul 26 23:09:57 2023 begin with 147551344 relations and 141684293 unique ideals
  99. Wed Jul 26 23:10:56 2023 reduce to 147098145 relations and 134163329 ideals in 8 passes
  100. Wed Jul 26 23:10:56 2023 max relations containing the same ideal: 125
  101. Wed Jul 26 23:11:44 2023 removing 8900487 relations and 6900487 ideals in 2000000 cliques
  102. Wed Jul 26 23:11:49 2023 commencing in-memory singleton removal
  103. Wed Jul 26 23:11:55 2023 begin with 138197658 relations and 134163329 unique ideals
  104. Wed Jul 26 23:12:50 2023 reduce to 137732846 relations and 126792426 ideals in 8 passes
  105. Wed Jul 26 23:12:50 2023 max relations containing the same ideal: 117
  106. Wed Jul 26 23:13:36 2023 removing 8791292 relations and 6791292 ideals in 2000000 cliques
  107. Wed Jul 26 23:13:41 2023 commencing in-memory singleton removal
  108. Wed Jul 26 23:13:46 2023 begin with 128941554 relations and 126792426 unique ideals
  109. Wed Jul 26 23:14:38 2023 reduce to 128459891 relations and 119513313 ideals in 8 passes
  110. Wed Jul 26 23:14:38 2023 max relations containing the same ideal: 108
  111. Wed Jul 26 23:15:20 2023 removing 8733886 relations and 6733886 ideals in 2000000 cliques
  112. Wed Jul 26 23:15:25 2023 commencing in-memory singleton removal
  113. Wed Jul 26 23:15:30 2023 begin with 119726005 relations and 119513313 unique ideals
  114. Wed Jul 26 23:16:18 2023 reduce to 119219389 relations and 112265913 ideals in 8 passes
  115. Wed Jul 26 23:16:18 2023 max relations containing the same ideal: 106
  116. Wed Jul 26 23:16:58 2023 removing 8714773 relations and 6714773 ideals in 2000000 cliques
  117. Wed Jul 26 23:17:03 2023 commencing in-memory singleton removal
  118. Wed Jul 26 23:17:07 2023 begin with 110504616 relations and 112265913 unique ideals
  119. Wed Jul 26 23:17:57 2023 reduce to 109963997 relations and 105002587 ideals in 9 passes
  120. Wed Jul 26 23:17:57 2023 max relations containing the same ideal: 101
  121. Wed Jul 26 23:18:33 2023 removing 8729543 relations and 6729543 ideals in 2000000 cliques
  122. Wed Jul 26 23:18:38 2023 commencing in-memory singleton removal
  123. Wed Jul 26 23:18:42 2023 begin with 101234454 relations and 105002587 unique ideals
  124. Wed Jul 26 23:19:27 2023 reduce to 100647871 relations and 97677274 ideals in 9 passes
  125. Wed Jul 26 23:19:27 2023 max relations containing the same ideal: 96
  126. Wed Jul 26 23:20:01 2023 removing 4557553 relations and 3677388 ideals in 880165 cliques
  127. Wed Jul 26 23:20:05 2023 commencing in-memory singleton removal
  128. Wed Jul 26 23:20:09 2023 begin with 96090318 relations and 97677274 unique ideals
  129. Wed Jul 26 23:20:46 2023 reduce to 95929580 relations and 93837910 ideals in 8 passes
  130. Wed Jul 26 23:20:46 2023 max relations containing the same ideal: 94
  131. Wed Jul 26 23:21:36 2023 relations with 0 large ideals: 46121
  132. Wed Jul 26 23:21:36 2023 relations with 1 large ideals: 28624
  133. Wed Jul 26 23:21:36 2023 relations with 2 large ideals: 401590
  134. Wed Jul 26 23:21:36 2023 relations with 3 large ideals: 2551620
  135. Wed Jul 26 23:21:36 2023 relations with 4 large ideals: 8933055
  136. Wed Jul 26 23:21:36 2023 relations with 5 large ideals: 18970278
  137. Wed Jul 26 23:21:36 2023 relations with 6 large ideals: 25462231
  138. Wed Jul 26 23:21:36 2023 relations with 7+ large ideals: 39536061
  139. Wed Jul 26 23:21:36 2023 commencing 2-way merge
  140. Wed Jul 26 23:22:24 2023 reduce to 60914152 relation sets and 58822482 unique ideals
  141. Wed Jul 26 23:22:24 2023 commencing full merge
  142. Wed Jul 26 23:42:30 2023 memory use: 7430.1 MB
  143. Wed Jul 26 23:42:36 2023 found 27207621 cycles, need 27100682
  144. Wed Jul 26 23:42:44 2023 weight of 27100682 cycles is about 3252734675 (120.02/cycle)
  145. Wed Jul 26 23:42:44 2023 distribution of cycle lengths:
  146. Wed Jul 26 23:42:44 2023 1 relations: 1890745
  147. Wed Jul 26 23:42:44 2023 2 relations: 2031019
  148. Wed Jul 26 23:42:44 2023 3 relations: 2100037
  149. Wed Jul 26 23:42:44 2023 4 relations: 2036676
  150. Wed Jul 26 23:42:44 2023 5 relations: 1977762
  151. Wed Jul 26 23:42:44 2023 6 relations: 1887900
  152. Wed Jul 26 23:42:44 2023 7 relations: 1783834
  153. Wed Jul 26 23:42:44 2023 8 relations: 1681681
  154. Wed Jul 26 23:42:44 2023 9 relations: 1570220
  155. Wed Jul 26 23:42:44 2023 10+ relations: 10140808
  156. Wed Jul 26 23:42:44 2023 heaviest cycle: 28 relations
  157. Wed Jul 26 23:42:50 2023 commencing cycle optimization
  158. Wed Jul 26 23:43:43 2023 start with 229086013 relations
  159. Wed Jul 26 23:51:08 2023 pruned 9180512 relations
  160. Wed Jul 26 23:51:08 2023 memory use: 6291.1 MB
  161. Wed Jul 26 23:51:08 2023 distribution of cycle lengths:
  162. Wed Jul 26 23:51:08 2023 1 relations: 1890745
  163. Wed Jul 26 23:51:08 2023 2 relations: 2081982
  164. Wed Jul 26 23:51:08 2023 3 relations: 2186831
  165. Wed Jul 26 23:51:08 2023 4 relations: 2113994
  166. Wed Jul 26 23:51:08 2023 5 relations: 2063571
  167. Wed Jul 26 23:51:08 2023 6 relations: 1958858
  168. Wed Jul 26 23:51:08 2023 7 relations: 1856325
  169. Wed Jul 26 23:51:08 2023 8 relations: 1738982
  170. Wed Jul 26 23:51:08 2023 9 relations: 1620597
  171. Wed Jul 26 23:51:08 2023 10+ relations: 9588797
  172. Wed Jul 26 23:51:08 2023 heaviest cycle: 28 relations
  173. Wed Jul 26 23:51:42 2023 RelProcTime: 9256
  174. Wed Jul 26 23:51:42 2023
  175. Wed Jul 26 23:51:42 2023 commencing linear algebra
  176. Wed Jul 26 23:51:44 2023 read 27100682 cycles
  177. Wed Jul 26 23:52:39 2023 cycles contain 94634950 unique relations
  178. Thu Jul 27 00:00:59 2023 read 94634950 relations
  179. Thu Jul 27 00:03:44 2023 using 20 quadratic characters above 4294917295
  180. Thu Jul 27 00:11:11 2023 building initial matrix
  181. Thu Jul 27 00:31:14 2023 memory use: 12405.8 MB
  182. Thu Jul 27 00:31:25 2023 read 27100682 cycles
  183. Thu Jul 27 00:31:29 2023 matrix is 27100504 x 27100682 (12774.1 MB) with weight 3659185459 (135.02/col)
  184. Thu Jul 27 00:31:29 2023 sparse part has weight 3050551843 (112.56/col)
  185. Thu Jul 27 00:35:44 2023 filtering completed in 2 passes
  186. Thu Jul 27 00:35:48 2023 matrix is 27099064 x 27099239 (12774.0 MB) with weight 3659133146 (135.03/col)
  187. Thu Jul 27 00:35:48 2023 sparse part has weight 3050533381 (112.57/col)
  188. Thu Jul 27 00:36:55 2023 matrix starts at (0, 0)
  189. Thu Jul 27 00:36:57 2023 matrix is 27099064 x 27099239 (12774.0 MB) with weight 3659133146 (135.03/col)
  190. Thu Jul 27 00:36:57 2023 sparse part has weight 3050533381 (112.57/col)
  191. Thu Jul 27 00:36:57 2023 saving the first 240 matrix rows for later
  192. Thu Jul 27 00:37:03 2023 matrix includes 256 packed rows
  193. Thu Jul 27 00:37:11 2023 matrix is 27098824 x 27099239 (11828.7 MB) with weight 2798249490 (103.26/col)
  194. Thu Jul 27 00:37:12 2023 sparse part has weight 2667231299 (98.42/col)
  195. Thu Jul 27 00:37:12 2023 using block size 8192 and superblock size 1572864 for processor cache size 65536 kB
  196. Thu Jul 27 00:39:00 2023 commencing Lanczos iteration (8 threads)
  197. Thu Jul 27 00:39:00 2023 memory use: 16343.2 MB
  198. Thu Jul 27 00:39:00 2023 VBITS = 256
  199. Thu Jul 27 00:40:18 2023 checkpointing every 110000 dimensions
  200. Thu Jul 27 00:42:30 2023 linear algebra at 0.0%, ETA 10 days 6 hours 51 minutes
  201. Sun Aug 6 04:08:52 2023 lanczos halted after 106172 iterations (dim = 27098822)
  202. Sun Aug 6 04:10:30 2023 recovered 40 nontrivial dependencies
  203. Sun Aug 6 04:10:32 2023 BLanczosTime: 879530
  204. Sun Aug 6 04:10:32 2023
  205. Sun Aug 6 04:10:32 2023 commencing square root phase
  206. Sun Aug 6 04:10:32 2023 handling dependencies 1 to 64
  207. Sun Aug 6 04:10:32 2023 reading relations for dependency 1
  208. Sun Aug 6 04:10:34 2023 read 13548645 cycles
  209. Sun Aug 6 04:11:01 2023 cycles contain 47318110 unique relations
  210. Sun Aug 6 04:15:22 2023 read 47318110 relations
  211. Sun Aug 6 04:18:28 2023 multiplying 47318110 relations
  212. Sun Aug 6 05:04:33 2023 multiply complete, coefficients have about 1351.06 million bits
  213. Sun Aug 6 05:04:37 2023 initial square root is modulo 1149503
  214. Sun Aug 6 05:50:11 2023 sqrtTime: 5979
  215. Sun Aug 6 05:50:11 2023 p81 factor: 455297397855933655648429979191562464996769833905530139193126823707587580202896897
  216. Sun Aug 6 05:50:11 2023 p129 factor: 850780141761335249949830244685779954976949307003574681825790275821641268294984051607089331604100785487508946872246582582284344833
  217. Sun Aug 6 05:50:11 2023 elapsed time 248:32:46
  218.  
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