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11p8_266

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Jan 30th, 2019
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  1. Tue Jan 29 05:41:03 2019
  2. Tue Jan 29 05:41:04 2019
  3. Tue Jan 29 05:41:05 2019 Msieve v. 1.53 (SVN 988M)
  4. Tue Jan 29 05:41:05 2019 random seeds: f2ab9f97 8be116f4
  5. Tue Jan 29 05:41:05 2019 factoring 178232984543115902810825429914296147092319495228508385906339011110121126205132582281612826345915477944799167036862941239806589093922032948766608920845828043542426369554970310733806598125815047183963144977929 (207 digits)
  6. Tue Jan 29 05:41:06 2019 searching for 15-digit factors
  7. Tue Jan 29 05:41:08 2019 commencing number field sieve (207-digit input)
  8. Tue Jan 29 05:41:08 2019 R0: 3740434344477351388916475705363381856681
  9. Tue Jan 29 05:41:08 2019 R1: -20769187434139310514121985316880384
  10. Tue Jan 29 05:41:08 2019 A0: 1
  11. Tue Jan 29 05:41:08 2019 A1: -1
  12. Tue Jan 29 05:41:08 2019 A2: 1
  13. Tue Jan 29 05:41:08 2019 A3: -1
  14. Tue Jan 29 05:41:08 2019 A4: 1
  15. Tue Jan 29 05:41:08 2019 A5: -1
  16. Tue Jan 29 05:41:08 2019 A6: 1
  17. Tue Jan 29 05:41:08 2019 skew 1.00, size 9.602e-12, alpha 2.428, combined = 6.193e-13 rroots = 0
  18. Tue Jan 29 05:41:08 2019
  19. Tue Jan 29 05:41:08 2019 commencing relation filtering
  20. Tue Jan 29 05:41:08 2019 setting target matrix density to 120.0
  21. Tue Jan 29 05:41:08 2019 estimated available RAM is 65536.0 MB
  22. Tue Jan 29 05:41:08 2019 commencing duplicate removal, pass 1
  23. Tue Jan 29 05:42:56 2019 error -9 reading relation 11190442
  24. [29393 more error lines]
  25. Tue Jan 29 05:59:44 2019 error -15 reading relation 125700324
  26. Tue Jan 29 05:59:47 2019 skipped 148 relations with b > 2^32
  27. Tue Jan 29 05:59:47 2019 skipped 7651 relations with composite factors
  28. Tue Jan 29 05:59:47 2019 found 26269136 hash collisions in 126009732 relations
  29. Tue Jan 29 05:59:56 2019 added 2438534 free relations
  30. Tue Jan 29 05:59:56 2019 commencing duplicate removal, pass 2
  31. Tue Jan 29 06:02:05 2019 found 26194718 duplicates and 102253548 unique relations
  32. Tue Jan 29 06:02:05 2019 memory use: 660.8 MB
  33. Tue Jan 29 06:02:05 2019 reading ideals above 720000
  34. Tue Jan 29 06:02:05 2019 commencing singleton removal, initial pass
  35. Tue Jan 29 06:16:19 2019 memory use: 2756.0 MB
  36. Tue Jan 29 06:16:19 2019 reading all ideals from disk
  37. Tue Jan 29 06:16:21 2019 memory use: 3926.7 MB
  38. Tue Jan 29 06:16:32 2019 keeping 91864345 ideals with weight <= 200, target excess is 537648
  39. Tue Jan 29 06:16:44 2019 commencing in-memory singleton removal
  40. Tue Jan 29 06:16:53 2019 begin with 102253548 relations and 91864345 unique ideals
  41. Tue Jan 29 06:18:15 2019 reduce to 69420918 relations and 55883460 ideals in 12 passes
  42. Tue Jan 29 06:18:15 2019 max relations containing the same ideal: 162
  43. Tue Jan 29 06:18:46 2019 removing 8465754 relations and 6465754 ideals in 2000000 cliques
  44. Tue Jan 29 06:18:49 2019 commencing in-memory singleton removal
  45. Tue Jan 29 06:18:55 2019 begin with 60955164 relations and 55883460 unique ideals
  46. Tue Jan 29 06:19:39 2019 reduce to 60121106 relations and 48554038 ideals in 8 passes
  47. Tue Jan 29 06:19:39 2019 max relations containing the same ideal: 151
  48. Tue Jan 29 06:20:06 2019 removing 6813121 relations and 4813121 ideals in 2000000 cliques
  49. Tue Jan 29 06:20:08 2019 commencing in-memory singleton removal
  50. Tue Jan 29 06:20:13 2019 begin with 53307985 relations and 48554038 unique ideals
  51. Tue Jan 29 06:20:51 2019 reduce to 52736790 relations and 43150484 ideals in 8 passes
  52. Tue Jan 29 06:20:51 2019 max relations containing the same ideal: 136
  53. Tue Jan 29 06:21:15 2019 removing 6279502 relations and 4279502 ideals in 2000000 cliques
  54. Tue Jan 29 06:21:17 2019 commencing in-memory singleton removal
  55. Tue Jan 29 06:21:21 2019 begin with 46457288 relations and 43150484 unique ideals
  56. Tue Jan 29 06:21:53 2019 reduce to 45942357 relations and 38337581 ideals in 8 passes
  57. Tue Jan 29 06:21:53 2019 max relations containing the same ideal: 125
  58. Tue Jan 29 06:22:14 2019 removing 5992317 relations and 3992317 ideals in 2000000 cliques
  59. Tue Jan 29 06:22:16 2019 commencing in-memory singleton removal
  60. Tue Jan 29 06:22:19 2019 begin with 39950040 relations and 38337581 unique ideals
  61. Tue Jan 29 06:22:43 2019 reduce to 39444370 relations and 33819581 ideals in 7 passes
  62. Tue Jan 29 06:22:43 2019 max relations containing the same ideal: 113
  63. Tue Jan 29 06:23:01 2019 removing 5809152 relations and 3809152 ideals in 2000000 cliques
  64. Tue Jan 29 06:23:02 2019 commencing in-memory singleton removal
  65. Tue Jan 29 06:23:05 2019 begin with 33635218 relations and 33819581 unique ideals
  66. Tue Jan 29 06:23:28 2019 reduce to 33100718 relations and 29452343 ideals in 8 passes
  67. Tue Jan 29 06:23:28 2019 max relations containing the same ideal: 97
  68. Tue Jan 29 06:23:42 2019 removing 5689702 relations and 3689702 ideals in 2000000 cliques
  69. Tue Jan 29 06:23:44 2019 commencing in-memory singleton removal
  70. Tue Jan 29 06:23:46 2019 begin with 27411016 relations and 29452343 unique ideals
  71. Tue Jan 29 06:24:04 2019 reduce to 26797945 relations and 25117353 ideals in 8 passes
  72. Tue Jan 29 06:24:04 2019 max relations containing the same ideal: 85
  73. Tue Jan 29 06:24:16 2019 removing 3347918 relations and 2290998 ideals in 1056920 cliques
  74. Tue Jan 29 06:24:17 2019 commencing in-memory singleton removal
  75. Tue Jan 29 06:24:19 2019 begin with 23450027 relations and 25117353 unique ideals
  76. Tue Jan 29 06:24:32 2019 reduce to 23147145 relations and 22512464 ideals in 7 passes
  77. Tue Jan 29 06:24:32 2019 max relations containing the same ideal: 79
  78. Tue Jan 29 06:24:42 2019 removing 68985 relations and 57976 ideals in 11009 cliques
  79. Tue Jan 29 06:24:43 2019 commencing in-memory singleton removal
  80. Tue Jan 29 06:24:44 2019 begin with 23078160 relations and 22512464 unique ideals
  81. Tue Jan 29 06:24:52 2019 reduce to 23078030 relations and 22454358 ideals in 4 passes
  82. Tue Jan 29 06:24:52 2019 max relations containing the same ideal: 79
  83. Tue Jan 29 06:24:56 2019 relations with 0 large ideals: 40290
  84. Tue Jan 29 06:24:56 2019 relations with 1 large ideals: 11122
  85. Tue Jan 29 06:24:56 2019 relations with 2 large ideals: 106538
  86. Tue Jan 29 06:24:56 2019 relations with 3 large ideals: 672682
  87. Tue Jan 29 06:24:56 2019 relations with 4 large ideals: 2322801
  88. Tue Jan 29 06:24:56 2019 relations with 5 large ideals: 4763763
  89. Tue Jan 29 06:24:56 2019 relations with 6 large ideals: 6084250
  90. Tue Jan 29 06:24:56 2019 relations with 7+ large ideals: 9076584
  91. Tue Jan 29 06:24:56 2019 commencing 2-way merge
  92. Tue Jan 29 06:25:10 2019 reduce to 16217443 relation sets and 15593771 unique ideals
  93. Tue Jan 29 06:25:10 2019 commencing full merge
  94. Tue Jan 29 06:31:58 2019 memory use: 2089.7 MB
  95. Tue Jan 29 06:32:03 2019 found 7164748 cycles, need 7149971
  96. Tue Jan 29 06:32:03 2019 weight of 7149971 cycles is about 858596778 (120.08/cycle)
  97. Tue Jan 29 06:32:03 2019 distribution of cycle lengths:
  98. Tue Jan 29 06:32:03 2019 1 relations: 227125
  99. Tue Jan 29 06:32:03 2019 2 relations: 358341
  100. Tue Jan 29 06:32:03 2019 3 relations: 461239
  101. Tue Jan 29 06:32:03 2019 4 relations: 502601
  102. Tue Jan 29 06:32:03 2019 5 relations: 526891
  103. Tue Jan 29 06:32:03 2019 6 relations: 535275
  104. Tue Jan 29 06:32:03 2019 7 relations: 530363
  105. Tue Jan 29 06:32:03 2019 8 relations: 510819
  106. Tue Jan 29 06:32:03 2019 9 relations: 479690
  107. Tue Jan 29 06:32:03 2019 10+ relations: 3017627
  108. Tue Jan 29 06:32:03 2019 heaviest cycle: 28 relations
  109. Tue Jan 29 06:32:06 2019 commencing cycle optimization
  110. Tue Jan 29 06:32:23 2019 start with 66231017 relations
  111. Tue Jan 29 06:35:32 2019 pruned 3558593 relations
  112. Tue Jan 29 06:35:34 2019 memory use: 1644.0 MB
  113. Tue Jan 29 06:35:35 2019 distribution of cycle lengths:
  114. Tue Jan 29 06:35:35 2019 1 relations: 227125
  115. Tue Jan 29 06:35:35 2019 2 relations: 368088
  116. Tue Jan 29 06:35:35 2019 3 relations: 482674
  117. Tue Jan 29 06:35:35 2019 4 relations: 527274
  118. Tue Jan 29 06:35:35 2019 5 relations: 559261
  119. Tue Jan 29 06:35:35 2019 6 relations: 567678
  120. Tue Jan 29 06:35:35 2019 7 relations: 564535
  121. Tue Jan 29 06:35:35 2019 8 relations: 540864
  122. Tue Jan 29 06:35:35 2019 9 relations: 507331
  123. Tue Jan 29 06:35:35 2019 10+ relations: 2805141
  124. Tue Jan 29 06:35:35 2019 heaviest cycle: 28 relations
  125. Tue Jan 29 06:35:55 2019 RelProcTime: 3287
  126. Tue Jan 29 06:35:55 2019
  127. Tue Jan 29 06:35:55 2019 commencing linear algebra
  128. Tue Jan 29 06:35:57 2019 read 7149971 cycles
  129. Tue Jan 29 06:36:12 2019 cycles contain 22784968 unique relations
  130. Tue Jan 29 06:39:39 2019 read 22784968 relations
  131. Tue Jan 29 06:40:24 2019 using 20 quadratic characters above 4294917295
  132. Tue Jan 29 06:41:54 2019 building initial matrix
  133. Tue Jan 29 06:46:19 2019 memory use: 2862.4 MB
  134. Tue Jan 29 06:46:27 2019 read 7149971 cycles
  135. Tue Jan 29 06:46:28 2019 matrix is 7149794 x 7149971 (3330.4 MB) with weight 946620638 (132.40/col)
  136. Tue Jan 29 06:46:28 2019 sparse part has weight 794393983 (111.10/col)
  137. Tue Jan 29 06:48:07 2019 filtering completed in 2 passes
  138. Tue Jan 29 06:48:08 2019 matrix is 7149741 x 7149918 (3330.4 MB) with weight 946618797 (132.40/col)
  139. Tue Jan 29 06:48:08 2019 sparse part has weight 794393287 (111.11/col)
  140. Tue Jan 29 06:49:48 2019 matrix starts at (0, 0)
  141. Tue Jan 29 06:49:49 2019 matrix is 7149741 x 7149918 (3330.4 MB) with weight 946618797 (132.40/col)
  142. Tue Jan 29 06:49:49 2019 sparse part has weight 794393287 (111.11/col)
  143. Tue Jan 29 06:49:49 2019 saving the first 48 matrix rows for later
  144. Tue Jan 29 06:49:50 2019 matrix includes 64 packed rows
  145. Tue Jan 29 06:49:51 2019 matrix is 7149693 x 7149918 (3187.4 MB) with weight 817351672 (114.32/col)
  146. Tue Jan 29 06:49:51 2019 sparse part has weight 764058612 (106.86/col)
  147. Tue Jan 29 06:49:51 2019 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  148. Tue Jan 29 06:50:35 2019 commencing Lanczos iteration (8 threads)
  149. Tue Jan 29 06:50:35 2019 memory use: 2706.5 MB
  150. Tue Jan 29 06:50:51 2019 linear algebra at 0.0%, ETA 19h38m
  151. Tue Jan 29 06:50:56 2019 checkpointing every 370000 dimensions
  152. Tue Jan 29 07:10:42 2019 lanczos halted after 1942 iterations (dim = 122825)
  153. Tue Jan 29 07:10:44 2019 BLanczosTime: 2089
  154. Tue Jan 29 07:10:44 2019
  155. Tue Jan 29 07:10:44 2019 commencing square root phase
  156. Tue Jan 29 07:10:44 2019 handling dependencies 1 to 64
  157. Tue Jan 29 07:10:44 2019 reading relations for dependency 1
  158. Tue Jan 29 07:10:44 2019 error: read_cycles can't open dependency file
  159. Tue Jan 29 10:15:37 2019
  160. Tue Jan 29 10:15:37 2019
  161. Tue Jan 29 10:15:37 2019 Msieve v. 1.53 (SVN 988M)
  162. Tue Jan 29 10:15:37 2019 random seeds: fa05f25c 24be15f3
  163. Tue Jan 29 10:15:37 2019 factoring 178232984543115902810825429914296147092319495228508385906339011110121126205132582281612826345915477944799167036862941239806589093922032948766608920845828043542426369554970310733806598125815047183963144977929 (207 digits)
  164. Tue Jan 29 10:15:38 2019 searching for 15-digit factors
  165. Tue Jan 29 10:15:39 2019 commencing number field sieve (207-digit input)
  166. Tue Jan 29 10:15:39 2019 R0: 3740434344477351388916475705363381856681
  167. Tue Jan 29 10:15:39 2019 R1: -20769187434139310514121985316880384
  168. Tue Jan 29 10:15:39 2019 A0: 1
  169. Tue Jan 29 10:15:39 2019 A1: -1
  170. Tue Jan 29 10:15:39 2019 A2: 1
  171. Tue Jan 29 10:15:39 2019 A3: -1
  172. Tue Jan 29 10:15:39 2019 A4: 1
  173. Tue Jan 29 10:15:39 2019 A5: -1
  174. Tue Jan 29 10:15:39 2019 A6: 1
  175. Tue Jan 29 10:15:39 2019 skew 1.00, size 9.602e-12, alpha 2.428, combined = 6.193e-13 rroots = 0
  176. Tue Jan 29 10:15:39 2019
  177. Tue Jan 29 10:15:39 2019 commencing linear algebra
  178. Tue Jan 29 10:15:42 2019 matrix starts at (0, 0)
  179. Tue Jan 29 10:15:43 2019 matrix is 7149741 x 7149918 (3330.4 MB) with weight 946618797 (132.40/col)
  180. Tue Jan 29 10:15:43 2019 sparse part has weight 794393287 (111.11/col)
  181. Tue Jan 29 10:15:43 2019 saving the first 48 matrix rows for later
  182. Tue Jan 29 10:15:44 2019 matrix includes 64 packed rows
  183. Tue Jan 29 10:15:45 2019 matrix is 7149693 x 7149918 (3187.4 MB) with weight 817351672 (114.32/col)
  184. Tue Jan 29 10:15:45 2019 sparse part has weight 764058612 (106.86/col)
  185. Tue Jan 29 10:15:45 2019 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  186. Tue Jan 29 10:16:17 2019 commencing Lanczos iteration (8 threads)
  187. Tue Jan 29 10:16:17 2019 memory use: 2706.5 MB
  188. Tue Jan 29 10:16:17 2019 restarting at iteration 1942 (dim = 122825)
  189. Tue Jan 29 10:16:27 2019 checkpointing every 440000 dimensions
  190. Tue Jan 29 10:16:29 2019 linear algebra at 1.7%, ETA 15h25m
  191. Wed Jan 30 02:09:12 2019 lanczos halted after 113060 iterations (dim = 7149693)
  192. Wed Jan 30 02:09:17 2019 recovered 39 nontrivial dependencies
  193. Wed Jan 30 02:09:18 2019 BLanczosTime: 57219
  194. Wed Jan 30 02:09:18 2019
  195. Wed Jan 30 02:09:18 2019 commencing square root phase
  196. Wed Jan 30 02:09:19 2019 reading relations for dependency 1
  197. Wed Jan 30 02:09:20 2019 read 3573376 cycles
  198. Wed Jan 30 02:09:28 2019 cycles contain 11388148 unique relations
  199. Wed Jan 30 02:11:19 2019 read 11388148 relations
  200. Wed Jan 30 02:12:03 2019 multiplying 11388148 relations
  201. Wed Jan 30 02:17:25 2019 multiply complete, coefficients have about 282.65 million bits
  202. Wed Jan 30 02:17:26 2019 initial square root is modulo 118037
  203. Wed Jan 30 02:22:52 2019 GCD is 1, no factor found
  204. Wed Jan 30 02:22:52 2019 reading relations for dependency 2
  205. Wed Jan 30 02:22:53 2019 read 3574342 cycles
  206. Wed Jan 30 02:23:00 2019 cycles contain 11390654 unique relations
  207. Wed Jan 30 02:24:51 2019 read 11390654 relations
  208. Wed Jan 30 02:25:35 2019 multiplying 11390654 relations
  209. Wed Jan 30 02:30:57 2019 multiply complete, coefficients have about 282.72 million bits
  210. Wed Jan 30 02:30:58 2019 initial square root is modulo 118361
  211. Wed Jan 30 02:36:24 2019 sqrtTime: 1626
  212. Wed Jan 30 02:36:24 2019 p86 factor: 37666996384183553456382583471646177291753213200010342287586804918094859312601788924129
  213. Wed Jan 30 02:36:24 2019 p121 factor: 4731807726988188704619143756653134463509726505911677180953296716161677525685814448413228732727900322606554151581227932201
  214. Wed Jan 30 02:36:24 2019 elapsed time 16:20:47
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