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Sep 21st, 2020
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  1. Sun Sep 20 08:06:43 2020
  2. Sun Sep 20 08:06:43 2020
  3. Sun Sep 20 08:06:43 2020 Msieve v. 1.54 (SVN 1028)
  4. Sun Sep 20 08:06:43 2020 random seeds: 92835dbd 221bd574
  5. Sun Sep 20 08:06:43 2020 factoring 6459594758238867125844847264039052931684724508838707484694754180272905420711047576478995415952837439779741853435639507801334614100750051563929718846753577973898536573574094180100967551289388791 (193 digits)
  6. Sun Sep 20 08:06:44 2020 no P-1/P+1/ECM available, skipping
  7. Sun Sep 20 08:06:44 2020 commencing number field sieve (193-digit input)
  8. Sun Sep 20 08:06:44 2020 R0: 1361129467683753853853498429727072845824
  9. Sun Sep 20 08:06:44 2020 R1: -1
  10. Sun Sep 20 08:06:44 2020 A0: -2
  11. Sun Sep 20 08:06:44 2020 A1: 0
  12. Sun Sep 20 08:06:44 2020 A2: 0
  13. Sun Sep 20 08:06:44 2020 A3: 0
  14. Sun Sep 20 08:06:44 2020 A4: 0
  15. Sun Sep 20 08:06:44 2020 A5: 0
  16. Sun Sep 20 08:06:44 2020 A6: 5
  17. Sun Sep 20 08:06:44 2020 skew 0.96, size 9.113e-12, alpha 2.819, combined = 6.013e-13 rroots = 2
  18. Sun Sep 20 08:06:44 2020
  19. Sun Sep 20 08:06:44 2020 commencing relation filtering
  20. Sun Sep 20 08:06:44 2020 setting target matrix density to 100.0
  21. Sun Sep 20 08:06:44 2020 estimated available RAM is 48133.0 MB
  22. Sun Sep 20 08:06:44 2020 commencing duplicate removal, pass 1
  23. Sun Sep 20 08:19:38 2020 error -15 reading relation 82389269
  24. Sun Sep 20 08:27:57 2020 skipped 54 relations with b > 2^32
  25. Sun Sep 20 08:27:57 2020 found 4093915 hash collisions in 135291012 relations
  26. Sun Sep 20 08:28:15 2020 added 1218409 free relations
  27. Sun Sep 20 08:28:15 2020 commencing duplicate removal, pass 2
  28. Sun Sep 20 08:28:59 2020 found 0 duplicates and 136509421 unique relations
  29. Sun Sep 20 08:28:59 2020 memory use: 389.2 MB
  30. Sun Sep 20 08:28:59 2020 reading ideals above 720000
  31. Sun Sep 20 08:28:59 2020 commencing singleton removal, initial pass
  32. Sun Sep 20 08:50:12 2020 memory use: 3012.0 MB
  33. Sun Sep 20 08:50:12 2020 reading all ideals from disk
  34. Sun Sep 20 08:50:22 2020 memory use: 5279.5 MB
  35. Sun Sep 20 08:50:45 2020 keeping 131542206 ideals with weight <= 200, target excess is 773494
  36. Sun Sep 20 08:51:09 2020 commencing in-memory singleton removal
  37. Sun Sep 20 08:51:27 2020 begin with 136509421 relations and 131542206 unique ideals
  38. Sun Sep 20 08:53:40 2020 reduce to 69757421 relations and 56611122 ideals in 13 passes
  39. Sun Sep 20 08:53:40 2020 max relations containing the same ideal: 133
  40. Sun Sep 20 08:54:30 2020 removing 9031210 relations and 7031210 ideals in 2000000 cliques
  41. Sun Sep 20 08:54:32 2020 commencing in-memory singleton removal
  42. Sun Sep 20 08:54:40 2020 begin with 60726211 relations and 56611122 unique ideals
  43. Sun Sep 20 08:55:35 2020 reduce to 59828357 relations and 48651001 ideals in 8 passes
  44. Sun Sep 20 08:55:35 2020 max relations containing the same ideal: 121
  45. Sun Sep 20 08:56:15 2020 removing 7288592 relations and 5288592 ideals in 2000000 cliques
  46. Sun Sep 20 08:56:18 2020 commencing in-memory singleton removal
  47. Sun Sep 20 08:56:24 2020 begin with 52539765 relations and 48651001 unique ideals
  48. Sun Sep 20 08:57:10 2020 reduce to 51879657 relations and 42680820 ideals in 8 passes
  49. Sun Sep 20 08:57:10 2020 max relations containing the same ideal: 107
  50. Sun Sep 20 08:57:46 2020 removing 6787815 relations and 4787815 ideals in 2000000 cliques
  51. Sun Sep 20 08:57:48 2020 commencing in-memory singleton removal
  52. Sun Sep 20 08:57:53 2020 begin with 45091842 relations and 42680820 unique ideals
  53. Sun Sep 20 08:58:26 2020 reduce to 44453296 relations and 37231847 ideals in 7 passes
  54. Sun Sep 20 08:58:26 2020 max relations containing the same ideal: 97
  55. Sun Sep 20 08:58:56 2020 removing 6568524 relations and 4568524 ideals in 2000000 cliques
  56. Sun Sep 20 08:58:59 2020 commencing in-memory singleton removal
  57. Sun Sep 20 08:59:03 2020 begin with 37884772 relations and 37231847 unique ideals
  58. Sun Sep 20 08:59:34 2020 reduce to 37205580 relations and 31957139 ideals in 8 passes
  59. Sun Sep 20 08:59:34 2020 max relations containing the same ideal: 86
  60. Sun Sep 20 09:00:00 2020 removing 6468251 relations and 4468251 ideals in 2000000 cliques
  61. Sun Sep 20 09:00:02 2020 commencing in-memory singleton removal
  62. Sun Sep 20 09:00:05 2020 begin with 30737329 relations and 31957139 unique ideals
  63. Sun Sep 20 09:00:30 2020 reduce to 29957042 relations and 26672244 ideals in 8 passes
  64. Sun Sep 20 09:00:30 2020 max relations containing the same ideal: 75
  65. Sun Sep 20 09:00:50 2020 removing 6451112 relations and 4451112 ideals in 2000000 cliques
  66. Sun Sep 20 09:00:52 2020 commencing in-memory singleton removal
  67. Sun Sep 20 09:00:54 2020 begin with 23505930 relations and 26672244 unique ideals
  68. Sun Sep 20 09:01:14 2020 reduce to 22529660 relations and 21187974 ideals in 9 passes
  69. Sun Sep 20 09:01:14 2020 max relations containing the same ideal: 60
  70. Sun Sep 20 09:01:30 2020 removing 2016904 relations and 1572472 ideals in 444432 cliques
  71. Sun Sep 20 09:01:31 2020 commencing in-memory singleton removal
  72. Sun Sep 20 09:01:33 2020 begin with 20512756 relations and 21187974 unique ideals
  73. Sun Sep 20 09:01:48 2020 reduce to 20379458 relations and 19479807 ideals in 8 passes
  74. Sun Sep 20 09:01:48 2020 max relations containing the same ideal: 59
  75. Sun Sep 20 09:02:06 2020 relations with 0 large ideals: 28049
  76. Sun Sep 20 09:02:06 2020 relations with 1 large ideals: 15771
  77. Sun Sep 20 09:02:06 2020 relations with 2 large ideals: 203429
  78. Sun Sep 20 09:02:06 2020 relations with 3 large ideals: 1115602
  79. Sun Sep 20 09:02:06 2020 relations with 4 large ideals: 3194070
  80. Sun Sep 20 09:02:06 2020 relations with 5 large ideals: 5278318
  81. Sun Sep 20 09:02:06 2020 relations with 6 large ideals: 5300506
  82. Sun Sep 20 09:02:06 2020 relations with 7+ large ideals: 5243713
  83. Sun Sep 20 09:02:06 2020 commencing 2-way merge
  84. Sun Sep 20 09:02:21 2020 reduce to 12612110 relation sets and 11712459 unique ideals
  85. Sun Sep 20 09:02:21 2020 commencing full merge
  86. Sun Sep 20 09:07:55 2020 memory use: 1554.2 MB
  87. Sun Sep 20 09:07:56 2020 found 6068183 cycles, need 5956659
  88. Sun Sep 20 09:07:59 2020 weight of 5956659 cycles is about 595735888 (100.01/cycle)
  89. Sun Sep 20 09:07:59 2020 distribution of cycle lengths:
  90. Sun Sep 20 09:07:59 2020 1 relations: 415072
  91. Sun Sep 20 09:07:59 2020 2 relations: 451596
  92. Sun Sep 20 09:07:59 2020 3 relations: 485190
  93. Sun Sep 20 09:07:59 2020 4 relations: 487926
  94. Sun Sep 20 09:07:59 2020 5 relations: 495175
  95. Sun Sep 20 09:07:59 2020 6 relations: 487904
  96. Sun Sep 20 09:07:59 2020 7 relations: 467243
  97. Sun Sep 20 09:07:59 2020 8 relations: 437430
  98. Sun Sep 20 09:07:59 2020 9 relations: 398601
  99. Sun Sep 20 09:07:59 2020 10+ relations: 1830522
  100. Sun Sep 20 09:07:59 2020 heaviest cycle: 24 relations
  101. Sun Sep 20 09:08:01 2020 commencing cycle optimization
  102. Sun Sep 20 09:08:14 2020 start with 44561007 relations
  103. Sun Sep 20 09:09:59 2020 pruned 1657208 relations
  104. Sun Sep 20 09:09:59 2020 memory use: 1288.6 MB
  105. Sun Sep 20 09:09:59 2020 distribution of cycle lengths:
  106. Sun Sep 20 09:09:59 2020 1 relations: 415072
  107. Sun Sep 20 09:09:59 2020 2 relations: 461653
  108. Sun Sep 20 09:09:59 2020 3 relations: 503383
  109. Sun Sep 20 09:09:59 2020 4 relations: 506090
  110. Sun Sep 20 09:09:59 2020 5 relations: 517774
  111. Sun Sep 20 09:09:59 2020 6 relations: 508411
  112. Sun Sep 20 09:09:59 2020 7 relations: 488943
  113. Sun Sep 20 09:09:59 2020 8 relations: 453461
  114. Sun Sep 20 09:09:59 2020 9 relations: 411054
  115. Sun Sep 20 09:09:59 2020 10+ relations: 1690818
  116. Sun Sep 20 09:09:59 2020 heaviest cycle: 24 relations
  117. Sun Sep 20 09:10:16 2020 RelProcTime: 3812
  118. Sun Sep 20 09:10:16 2020 elapsed time 01:03:33
  119. Sun Sep 20 15:58:24 2020
  120. Sun Sep 20 15:58:24 2020
  121. Sun Sep 20 15:58:24 2020 Msieve v. 1.54 (SVN 1028)
  122. Sun Sep 20 15:58:24 2020 random seeds: 504d903d 6ccb1f73
  123. Sun Sep 20 15:58:24 2020 factoring 6459594758238867125844847264039052931684724508838707484694754180272905420711047576478995415952837439779741853435639507801334614100750051563929718846753577973898536573574094180100967551289388791 (193 digits)
  124. Sun Sep 20 15:58:26 2020 no P-1/P+1/ECM available, skipping
  125. Sun Sep 20 15:58:26 2020 commencing number field sieve (193-digit input)
  126. Sun Sep 20 15:58:26 2020 R0: 1361129467683753853853498429727072845824
  127. Sun Sep 20 15:58:26 2020 R1: -1
  128. Sun Sep 20 15:58:26 2020 A0: -2
  129. Sun Sep 20 15:58:26 2020 A1: 0
  130. Sun Sep 20 15:58:26 2020 A2: 0
  131. Sun Sep 20 15:58:26 2020 A3: 0
  132. Sun Sep 20 15:58:26 2020 A4: 0
  133. Sun Sep 20 15:58:26 2020 A5: 0
  134. Sun Sep 20 15:58:26 2020 A6: 5
  135. Sun Sep 20 15:58:26 2020 skew 0.96, size 9.113e-12, alpha 2.819, combined = 6.013e-13 rroots = 2
  136. Sun Sep 20 15:58:26 2020
  137. Sun Sep 20 15:58:26 2020 commencing linear algebra
  138. Sun Sep 20 15:58:26 2020 read 5956659 cycles
  139. Sun Sep 20 15:58:40 2020 cycles contain 19842601 unique relations
  140. Sun Sep 20 16:00:39 2020 read 19842601 relations
  141. Sun Sep 20 16:01:07 2020 using 20 quadratic characters above 4294917295
  142. Sun Sep 20 16:02:47 2020 building initial matrix
  143. Sun Sep 20 16:06:12 2020 memory use: 2527.8 MB
  144. Sun Sep 20 16:06:14 2020 read 5956659 cycles
  145. Sun Sep 20 16:06:15 2020 matrix is 5956480 x 5956659 (2376.0 MB) with weight 682874507 (114.64/col)
  146. Sun Sep 20 16:06:15 2020 sparse part has weight 563288699 (94.56/col)
  147. Sun Sep 20 16:07:40 2020 filtering completed in 2 passes
  148. Sun Sep 20 16:07:41 2020 matrix is 5955508 x 5955686 (2375.9 MB) with weight 682837251 (114.65/col)
  149. Sun Sep 20 16:07:41 2020 sparse part has weight 563270656 (94.58/col)
  150. Sun Sep 20 16:08:04 2020 matrix starts at (0, 0)
  151. Sun Sep 20 16:08:04 2020 matrix is 5955508 x 5955686 (2375.9 MB) with weight 682837251 (114.65/col)
  152. Sun Sep 20 16:08:04 2020 sparse part has weight 563270656 (94.58/col)
  153. Sun Sep 20 16:08:04 2020 saving the first 112 matrix rows for later
  154. Sun Sep 20 16:08:05 2020 matrix includes 128 packed rows
  155. Sun Sep 20 16:08:07 2020 matrix is 5955396 x 5955686 (2235.0 MB) with weight 540537909 (90.76/col)
  156. Sun Sep 20 16:08:07 2020 sparse part has weight 514423854 (86.38/col)
  157. Sun Sep 20 16:08:07 2020 using block size 8192 and superblock size 1474560 for processor cache size 30720 kB
  158. Sun Sep 20 16:08:23 2020 commencing Lanczos iteration (12 threads)
  159. Sun Sep 20 16:08:23 2020 memory use: 2524.9 MB
  160. Sun Sep 20 16:08:32 2020 linear algebra at 0.0%, ETA 8h40m
  161. Sun Sep 20 16:08:35 2020 checkpointing every 670000 dimensions
  162. Mon Sep 21 00:09:09 2020 lanczos halted after 46809 iterations (dim = 5955395)
  163. Mon Sep 21 00:09:20 2020 recovered 39 nontrivial dependencies
  164. Mon Sep 21 00:09:21 2020 BLanczosTime: 29455
  165. Mon Sep 21 00:09:21 2020
  166. Mon Sep 21 00:09:21 2020 commencing square root phase
  167. Mon Sep 21 00:09:21 2020 reading relations for dependency 1
  168. Mon Sep 21 00:09:21 2020 read 2978489 cycles
  169. Mon Sep 21 00:09:26 2020 cycles contain 9920712 unique relations
  170. Mon Sep 21 00:10:31 2020 read 9920712 relations
  171. Mon Sep 21 00:11:13 2020 multiplying 9920712 relations
  172. Mon Sep 21 00:17:38 2020 multiply complete, coefficients have about 271.21 million bits
  173. Mon Sep 21 00:17:39 2020 initial square root is modulo 73651
  174. Mon Sep 21 00:24:50 2020 GCD is 1, no factor found
  175. Mon Sep 21 00:24:50 2020 reading relations for dependency 2
  176. Mon Sep 21 00:24:51 2020 read 2977182 cycles
  177. Mon Sep 21 00:24:56 2020 cycles contain 9918728 unique relations
  178. Mon Sep 21 00:26:01 2020 read 9918728 relations
  179. Mon Sep 21 00:26:42 2020 multiplying 9918728 relations
  180. Mon Sep 21 00:33:07 2020 multiply complete, coefficients have about 271.17 million bits
  181. Mon Sep 21 00:33:08 2020 initial square root is modulo 73417
  182. Mon Sep 21 00:40:14 2020 GCD is 1, no factor found
  183. Mon Sep 21 00:40:14 2020 reading relations for dependency 3
  184. Mon Sep 21 00:40:14 2020 read 2977004 cycles
  185. Mon Sep 21 00:40:19 2020 cycles contain 9919682 unique relations
  186. Mon Sep 21 00:41:24 2020 read 9919682 relations
  187. Mon Sep 21 00:42:07 2020 multiplying 9919682 relations
  188. Mon Sep 21 00:48:37 2020 multiply complete, coefficients have about 271.19 million bits
  189. Mon Sep 21 00:48:38 2020 initial square root is modulo 73651
  190. Mon Sep 21 00:56:36 2020 GCD is N, no factor found
  191. Mon Sep 21 00:56:36 2020 reading relations for dependency 4
  192. Mon Sep 21 00:56:37 2020 read 2977249 cycles
  193. Mon Sep 21 00:56:43 2020 cycles contain 9919608 unique relations
  194. Mon Sep 21 00:57:53 2020 read 9919608 relations
  195. Mon Sep 21 00:58:53 2020 multiplying 9919608 relations
  196. Mon Sep 21 01:05:50 2020 multiply complete, coefficients have about 271.19 million bits
  197. Mon Sep 21 01:05:52 2020 initial square root is modulo 73651
  198. Mon Sep 21 01:13:47 2020 GCD is N, no factor found
  199. Mon Sep 21 01:13:47 2020 reading relations for dependency 5
  200. Mon Sep 21 01:13:48 2020 read 2977656 cycles
  201. Mon Sep 21 01:13:54 2020 cycles contain 9921108 unique relations
  202. Mon Sep 21 01:15:04 2020 read 9921108 relations
  203. Mon Sep 21 01:16:04 2020 multiplying 9921108 relations
  204. Mon Sep 21 01:23:01 2020 multiply complete, coefficients have about 271.23 million bits
  205. Mon Sep 21 01:23:02 2020 initial square root is modulo 73651
  206. Mon Sep 21 01:30:59 2020 GCD is 1, no factor found
  207. Mon Sep 21 01:30:59 2020 reading relations for dependency 6
  208. Mon Sep 21 01:31:00 2020 read 2977661 cycles
  209. Mon Sep 21 01:31:06 2020 cycles contain 9920260 unique relations
  210. Mon Sep 21 01:32:16 2020 read 9920260 relations
  211. Mon Sep 21 01:33:16 2020 multiplying 9920260 relations
  212. Mon Sep 21 01:40:15 2020 multiply complete, coefficients have about 271.20 million bits
  213. Mon Sep 21 01:40:16 2020 initial square root is modulo 73651
  214. Mon Sep 21 01:48:14 2020 sqrtTime: 5933
  215. Mon Sep 21 01:48:14 2020 p91 factor: 2786439502475124609387033054543157113255332993551540466442074957474066878758986269325512321
  216. Mon Sep 21 01:48:14 2020 p103 factor: 2318225374174092224906045403193747790961851647680912446723516387914025452782142166626536345526687134071
  217. Mon Sep 21 01:48:14 2020 elapsed time 09:49:50
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