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Sep 26th, 2019
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  1. Fri Sep 20 08:17:47 2019
  2. Fri Sep 20 08:17:47 2019 Msieve v. 1.54 (SVN 1025)
  3. Fri Sep 20 08:17:47 2019 random seeds: 8ad08df4 2989e840
  4. Fri Sep 20 08:17:47 2019 factoring 3570780974456633430875952683812539186819994775105961839994402500809935195883445061659175257206024981774741069113860646228832429696268877827887165384532969644566899205952762361502372634501387026676557596600934946409 (214 digits)
  5. Fri Sep 20 08:17:48 2019 searching for 15-digit factors
  6. Fri Sep 20 08:17:48 2019 commencing number field sieve (214-digit input)
  7. Fri Sep 20 08:17:48 2019 R0: 867361737988403547205962240695953369140625
  8. Fri Sep 20 08:17:48 2019 R1: -1329227995784915872903807060280344576
  9. Fri Sep 20 08:17:48 2019 A0: -4
  10. Fri Sep 20 08:17:48 2019 A1: 0
  11. Fri Sep 20 08:17:48 2019 A2: 0
  12. Fri Sep 20 08:17:48 2019 A3: 0
  13. Fri Sep 20 08:17:48 2019 A4: 0
  14. Fri Sep 20 08:17:48 2019 A5: 0
  15. Fri Sep 20 08:17:48 2019 A6: 5
  16. Fri Sep 20 08:17:48 2019 skew 0.96, size 1.642e-12, alpha 2.070, combined = 1.686e-13 rroots = 2
  17. Fri Sep 20 08:17:48 2019
  18. Fri Sep 20 08:17:48 2019 commencing relation filtering
  19. Fri Sep 20 08:17:48 2019 setting target matrix density to 120.0
  20. Fri Sep 20 08:17:48 2019 estimated available RAM is 15984.7 MB
  21. Fri Sep 20 08:17:48 2019 commencing duplicate removal, pass 1
  22. Fri Sep 20 08:19:04 2019 error -15 reading relation 11461577
  23. Fri Sep 20 08:23:37 2019 error -15 reading relation 52674119
  24. Fri Sep 20 08:28:11 2019 error -5 reading relation 93766221
  25. Fri Sep 20 08:30:13 2019 error -15 reading relation 112041202
  26. Fri Sep 20 08:34:52 2019 error -6 reading relation 153583145
  27. Fri Sep 20 08:35:21 2019 error -15 reading relation 157827153
  28. Fri Sep 20 08:40:13 2019 skipped 145 relations with b > 2^32
  29. Fri Sep 20 08:40:13 2019 skipped 9 relations with composite factors
  30. Fri Sep 20 08:40:13 2019 found 8760490 hash collisions in 199981361 relations
  31. Fri Sep 20 08:40:23 2019 commencing duplicate removal, pass 2
  32. Fri Sep 20 08:41:15 2019 found 0 duplicates and 199981361 unique relations
  33. Fri Sep 20 08:41:15 2019 memory use: 522.4 MB
  34. Fri Sep 20 08:41:15 2019 reading ideals above 133890048
  35. Fri Sep 20 08:41:15 2019 commencing singleton removal, initial pass
  36. Fri Sep 20 08:57:28 2019 memory use: 5512.0 MB
  37. Fri Sep 20 08:57:28 2019 reading all ideals from disk
  38. Fri Sep 20 08:57:34 2019 memory use: 3952.9 MB
  39. Fri Sep 20 08:57:42 2019 commencing in-memory singleton removal
  40. Fri Sep 20 08:57:49 2019 begin with 199981361 relations and 166972696 unique ideals
  41. Fri Sep 20 08:59:18 2019 reduce to 137679211 relations and 98940405 ideals in 14 passes
  42. Fri Sep 20 08:59:18 2019 max relations containing the same ideal: 39
  43. Fri Sep 20 08:59:24 2019 reading ideals above 720000
  44. Fri Sep 20 08:59:25 2019 commencing singleton removal, initial pass
  45. Fri Sep 20 09:13:29 2019 memory use: 3012.0 MB
  46. Fri Sep 20 09:13:29 2019 reading all ideals from disk
  47. Fri Sep 20 09:13:40 2019 memory use: 5542.9 MB
  48. Fri Sep 20 09:13:55 2019 keeping 113401181 ideals with weight <= 200, target excess is 709512
  49. Fri Sep 20 09:14:09 2019 commencing in-memory singleton removal
  50. Fri Sep 20 09:14:21 2019 begin with 137679211 relations and 113401181 unique ideals
  51. Fri Sep 20 09:15:04 2019 reduce to 137679179 relations and 113401149 ideals in 4 passes
  52. Fri Sep 20 09:15:04 2019 max relations containing the same ideal: 200
  53. Fri Sep 20 09:15:56 2019 removing 10964101 relations and 8964101 ideals in 2000000 cliques
  54. Fri Sep 20 09:15:59 2019 commencing in-memory singleton removal
  55. Fri Sep 20 09:16:10 2019 begin with 126715078 relations and 113401149 unique ideals
  56. Fri Sep 20 09:17:43 2019 reduce to 126012458 relations and 103720803 ideals in 9 passes
  57. Fri Sep 20 09:17:43 2019 max relations containing the same ideal: 198
  58. Fri Sep 20 09:18:32 2019 removing 8387776 relations and 6387776 ideals in 2000000 cliques
  59. Fri Sep 20 09:18:34 2019 commencing in-memory singleton removal
  60. Fri Sep 20 09:18:42 2019 begin with 117624682 relations and 103720803 unique ideals
  61. Fri Sep 20 09:20:05 2019 reduce to 117165078 relations and 96865894 ideals in 10 passes
  62. Fri Sep 20 09:20:05 2019 max relations containing the same ideal: 192
  63. Fri Sep 20 09:20:46 2019 removing 7610188 relations and 5610188 ideals in 2000000 cliques
  64. Fri Sep 20 09:20:49 2019 commencing in-memory singleton removal
  65. Fri Sep 20 09:20:56 2019 begin with 109554890 relations and 96865894 unique ideals
  66. Fri Sep 20 09:21:57 2019 reduce to 109156064 relations and 90850326 ideals in 8 passes
  67. Fri Sep 20 09:21:57 2019 max relations containing the same ideal: 184
  68. Fri Sep 20 09:22:35 2019 removing 7200185 relations and 5200185 ideals in 2000000 cliques
  69. Fri Sep 20 09:22:37 2019 commencing in-memory singleton removal
  70. Fri Sep 20 09:22:44 2019 begin with 101955879 relations and 90850326 unique ideals
  71. Fri Sep 20 09:23:40 2019 reduce to 101585269 relations and 85273186 ideals in 8 passes
  72. Fri Sep 20 09:23:40 2019 max relations containing the same ideal: 176
  73. Fri Sep 20 09:24:15 2019 removing 6937777 relations and 4937777 ideals in 2000000 cliques
  74. Fri Sep 20 09:24:17 2019 commencing in-memory singleton removal
  75. Fri Sep 20 09:24:23 2019 begin with 94647492 relations and 85273186 unique ideals
  76. Fri Sep 20 09:25:08 2019 reduce to 94289172 relations and 79970694 ideals in 7 passes
  77. Fri Sep 20 09:25:08 2019 max relations containing the same ideal: 166
  78. Fri Sep 20 09:25:40 2019 removing 6757205 relations and 4757205 ideals in 2000000 cliques
  79. Fri Sep 20 09:25:42 2019 commencing in-memory singleton removal
  80. Fri Sep 20 09:25:48 2019 begin with 87531967 relations and 79970694 unique ideals
  81. Fri Sep 20 09:26:29 2019 reduce to 87175249 relations and 74850174 ideals in 7 passes
  82. Fri Sep 20 09:26:29 2019 max relations containing the same ideal: 159
  83. Fri Sep 20 09:26:59 2019 removing 6629189 relations and 4629189 ideals in 2000000 cliques
  84. Fri Sep 20 09:27:01 2019 commencing in-memory singleton removal
  85. Fri Sep 20 09:27:06 2019 begin with 80546060 relations and 74850174 unique ideals
  86. Fri Sep 20 09:27:43 2019 reduce to 80186518 relations and 69854170 ideals in 7 passes
  87. Fri Sep 20 09:27:43 2019 max relations containing the same ideal: 149
  88. Fri Sep 20 09:28:11 2019 removing 6529916 relations and 4529916 ideals in 2000000 cliques
  89. Fri Sep 20 09:28:12 2019 commencing in-memory singleton removal
  90. Fri Sep 20 09:28:17 2019 begin with 73656602 relations and 69854170 unique ideals
  91. Fri Sep 20 09:28:51 2019 reduce to 73282461 relations and 64942104 ideals in 7 passes
  92. Fri Sep 20 09:28:51 2019 max relations containing the same ideal: 141
  93. Fri Sep 20 09:29:16 2019 removing 6466637 relations and 4466637 ideals in 2000000 cliques
  94. Fri Sep 20 09:29:18 2019 commencing in-memory singleton removal
  95. Fri Sep 20 09:29:22 2019 begin with 66815824 relations and 64942104 unique ideals
  96. Fri Sep 20 09:29:56 2019 reduce to 66420322 relations and 60070807 ideals in 8 passes
  97. Fri Sep 20 09:29:56 2019 max relations containing the same ideal: 131
  98. Fri Sep 20 09:30:19 2019 removing 6430840 relations and 4430840 ideals in 2000000 cliques
  99. Fri Sep 20 09:30:20 2019 commencing in-memory singleton removal
  100. Fri Sep 20 09:30:24 2019 begin with 59989482 relations and 60070807 unique ideals
  101. Fri Sep 20 09:30:51 2019 reduce to 59556559 relations and 55195902 ideals in 7 passes
  102. Fri Sep 20 09:30:51 2019 max relations containing the same ideal: 122
  103. Fri Sep 20 09:31:11 2019 removing 6427126 relations and 4427126 ideals in 2000000 cliques
  104. Fri Sep 20 09:31:13 2019 commencing in-memory singleton removal
  105. Fri Sep 20 09:31:16 2019 begin with 53129433 relations and 55195902 unique ideals
  106. Fri Sep 20 09:31:43 2019 reduce to 52635965 relations and 50261254 ideals in 8 passes
  107. Fri Sep 20 09:31:43 2019 max relations containing the same ideal: 114
  108. Fri Sep 20 09:32:01 2019 removing 5257020 relations and 3705343 ideals in 1551677 cliques
  109. Fri Sep 20 09:32:02 2019 commencing in-memory singleton removal
  110. Fri Sep 20 09:32:05 2019 begin with 47378945 relations and 50261254 unique ideals
  111. Fri Sep 20 09:32:28 2019 reduce to 46992109 relations and 46159095 ideals in 8 passes
  112. Fri Sep 20 09:32:28 2019 max relations containing the same ideal: 105
  113. Fri Sep 20 09:32:44 2019 removing 71023 relations and 61043 ideals in 9980 cliques
  114. Fri Sep 20 09:32:45 2019 commencing in-memory singleton removal
  115. Fri Sep 20 09:32:48 2019 begin with 46921086 relations and 46159095 unique ideals
  116. Fri Sep 20 09:32:59 2019 reduce to 46921002 relations and 46097968 ideals in 4 passes
  117. Fri Sep 20 09:32:59 2019 max relations containing the same ideal: 105
  118. Fri Sep 20 09:33:07 2019 relations with 0 large ideals: 26736
  119. Fri Sep 20 09:33:07 2019 relations with 1 large ideals: 9366
  120. Fri Sep 20 09:33:07 2019 relations with 2 large ideals: 119783
  121. Fri Sep 20 09:33:07 2019 relations with 3 large ideals: 857207
  122. Fri Sep 20 09:33:07 2019 relations with 4 large ideals: 3364418
  123. Fri Sep 20 09:33:07 2019 relations with 5 large ideals: 8002706
  124. Fri Sep 20 09:33:07 2019 relations with 6 large ideals: 11994274
  125. Fri Sep 20 09:33:07 2019 relations with 7+ large ideals: 22546512
  126. Fri Sep 20 09:33:07 2019 commencing 2-way merge
  127. Fri Sep 20 09:33:30 2019 reduce to 32219608 relation sets and 31396574 unique ideals
  128. Fri Sep 20 09:33:30 2019 commencing full merge
  129. Fri Sep 20 09:42:13 2019 memory use: 3989.4 MB
  130. Fri Sep 20 09:42:16 2019 found 14264935 cycles, need 14242774
  131. Fri Sep 20 09:42:20 2019 weight of 14242774 cycles is about 1709816856 (120.05/cycle)
  132. Fri Sep 20 09:42:20 2019 distribution of cycle lengths:
  133. Fri Sep 20 09:42:20 2019 1 relations: 540588
  134. Fri Sep 20 09:42:20 2019 2 relations: 809590
  135. Fri Sep 20 09:42:20 2019 3 relations: 995330
  136. Fri Sep 20 09:42:20 2019 4 relations: 1053830
  137. Fri Sep 20 09:42:20 2019 5 relations: 1098272
  138. Fri Sep 20 09:42:20 2019 6 relations: 1084092
  139. Fri Sep 20 09:42:20 2019 7 relations: 1064950
  140. Fri Sep 20 09:42:20 2019 8 relations: 1011230
  141. Fri Sep 20 09:42:20 2019 9 relations: 948231
  142. Fri Sep 20 09:42:20 2019 10+ relations: 5636661
  143. Fri Sep 20 09:42:20 2019 heaviest cycle: 28 relations
  144. Fri Sep 20 09:42:23 2019 commencing cycle optimization
  145. Fri Sep 20 09:42:45 2019 start with 126217052 relations
  146. Fri Sep 20 09:46:23 2019 pruned 6222001 relations
  147. Fri Sep 20 09:46:23 2019 memory use: 3256.0 MB
  148. Fri Sep 20 09:46:23 2019 distribution of cycle lengths:
  149. Fri Sep 20 09:46:23 2019 1 relations: 540588
  150. Fri Sep 20 09:46:23 2019 2 relations: 832323
  151. Fri Sep 20 09:46:23 2019 3 relations: 1041522
  152. Fri Sep 20 09:46:23 2019 4 relations: 1103446
  153. Fri Sep 20 09:46:23 2019 5 relations: 1159037
  154. Fri Sep 20 09:46:23 2019 6 relations: 1142855
  155. Fri Sep 20 09:46:23 2019 7 relations: 1124841
  156. Fri Sep 20 09:46:23 2019 8 relations: 1062839
  157. Fri Sep 20 09:46:23 2019 9 relations: 992930
  158. Fri Sep 20 09:46:23 2019 10+ relations: 5242393
  159. Fri Sep 20 09:46:23 2019 heaviest cycle: 28 relations
  160. Fri Sep 20 09:46:48 2019 RelProcTime: 5340
  161. Fri Sep 20 09:46:48 2019
  162. Fri Sep 20 09:46:48 2019 commencing linear algebra
  163. Fri Sep 20 09:46:49 2019 read 14242774 cycles
  164. Fri Sep 20 09:47:11 2019 cycles contain 46498606 unique relations
  165. Fri Sep 20 09:50:36 2019 read 46498606 relations
  166. Fri Sep 20 09:51:45 2019 using 20 quadratic characters above 4294917295
  167. Fri Sep 20 09:54:24 2019 building initial matrix
  168. Fri Sep 20 10:01:35 2019 memory use: 5846.6 MB
  169. Fri Sep 20 10:01:41 2019 read 14242774 cycles
  170. Fri Sep 20 10:01:43 2019 matrix is 14242597 x 14242774 (6655.2 MB) with weight 1887855935 (132.55/col)
  171. Fri Sep 20 10:01:43 2019 sparse part has weight 1587957386 (111.49/col)
  172. Fri Sep 20 10:04:16 2019 filtering completed in 2 passes
  173. Fri Sep 20 10:04:19 2019 matrix is 14242483 x 14242660 (6655.2 MB) with weight 1887852539 (132.55/col)
  174. Fri Sep 20 10:04:19 2019 sparse part has weight 1587956506 (111.49/col)
  175. Fri Sep 20 10:04:55 2019 matrix starts at (0, 0)
  176. Fri Sep 20 10:04:56 2019 matrix is 14242483 x 14242660 (6655.2 MB) with weight 1887852539 (132.55/col)
  177. Fri Sep 20 10:04:56 2019 sparse part has weight 1587956506 (111.49/col)
  178. Fri Sep 20 10:04:56 2019 saving the first 48 matrix rows for later
  179. Fri Sep 20 10:04:58 2019 matrix includes 64 packed rows
  180. Fri Sep 20 10:05:01 2019 matrix is 14242435 x 14242660 (6380.6 MB) with weight 1630816793 (114.50/col)
  181. Fri Sep 20 10:05:01 2019 sparse part has weight 1530217535 (107.44/col)
  182. Fri Sep 20 10:05:01 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  183. Fri Sep 20 10:05:51 2019 commencing Lanczos iteration (4 threads)
  184. Fri Sep 20 10:05:51 2019 memory use: 6136.9 MB
  185. Fri Sep 20 10:06:55 2019 linear algebra at 0.0%, ETA 161h40m
  186. Fri Sep 20 10:07:16 2019 checkpointing every 90000 dimensions
  187. Thu Sep 26 08:33:30 2019 lanczos halted after 225225 iterations (dim = 14242430)
  188. Thu Sep 26 08:33:54 2019 recovered 37 nontrivial dependencies
  189. Thu Sep 26 08:33:55 2019 BLanczosTime: 514027
  190. Thu Sep 26 08:33:55 2019
  191. Thu Sep 26 08:33:55 2019 commencing square root phase
  192. Thu Sep 26 08:33:55 2019 handling dependencies 1 to 64
  193. Thu Sep 26 08:33:55 2019 reading relations for dependency 1
  194. Thu Sep 26 08:33:56 2019 read 7121352 cycles
  195. Thu Sep 26 08:34:07 2019 cycles contain 23249412 unique relations
  196. Thu Sep 26 08:36:06 2019 read 23249412 relations
  197. Thu Sep 26 08:37:26 2019 multiplying 23249412 relations
  198. Thu Sep 26 08:52:42 2019 multiply complete, coefficients have about 641.67 million bits
  199. Thu Sep 26 08:52:45 2019 initial square root is modulo 571267
  200. Thu Sep 26 09:08:59 2019 sqrtTime: 2104
  201. Thu Sep 26 09:08:59 2019 p82 factor: 8016222035600449715253979571851807063410182436711291473383128806270402072477404291
  202. Thu Sep 26 09:08:59 2019 p132 factor: 445444370003551989406170630403280857861377128222753528045882605428442621022129759938283030356538933617881588931843259267590040417699
  203. Thu Sep 26 09:08:59 2019 elapsed time 144:51:12
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