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Jul 15th, 2019
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  1. Sat Jul 6 21:20:26 2019
  2. Sat Jul 6 21:20:26 2019
  3. Sat Jul 6 21:20:26 2019 Msieve v. 1.53 (SVN 988M)
  4. Sat Jul 6 21:20:26 2019 random seeds: 3e0a48de c8d2f83f
  5. Sat Jul 6 21:20:26 2019 factoring 146973995689915763815283846322019575280661403587643376273465855332232663751044956127288750575248953486925527395568345335562845194850612849223162150337177609920031259744431110176958369852718145869931279064478485885097818684100969 (228 digits)
  6. Sat Jul 6 21:20:27 2019 searching for 15-digit factors
  7. Sat Jul 6 21:20:28 2019 commencing number field sieve (228-digit input)
  8. Sat Jul 6 21:20:28 2019 R0: 969773729787523602876821942164080815560161
  9. Sat Jul 6 21:20:28 2019 R1: -5684341886080801486968994140625
  10. Sat Jul 6 21:20:28 2019 A0: -9
  11. Sat Jul 6 21:20:28 2019 A1: 0
  12. Sat Jul 6 21:20:28 2019 A2: 0
  13. Sat Jul 6 21:20:28 2019 A3: 0
  14. Sat Jul 6 21:20:28 2019 A4: 0
  15. Sat Jul 6 21:20:28 2019 A5: 0
  16. Sat Jul 6 21:20:28 2019 A6: 5
  17. Sat Jul 6 21:20:28 2019 skew 1.10, size 1.850e-12, alpha 1.204, combined = 1.831e-13 rroots = 2
  18. Sat Jul 6 21:20:28 2019
  19. Sat Jul 6 21:20:28 2019 commencing relation filtering
  20. Sat Jul 6 21:20:28 2019 setting target matrix density to 114.0
  21. Sat Jul 6 21:20:28 2019 estimated available RAM is 32768.0 MB
  22. Sat Jul 6 21:20:28 2019 commencing duplicate removal, pass 1
  23. Sat Jul 6 21:30:44 2019 error -15 reading relation 107572391
  24. [6770 more error lines]
  25. Sat Jul 6 21:37:56 2019 error -1 reading relation 181368763
  26. Sat Jul 6 21:38:33 2019 skipped 141 relations with b > 2^32
  27. Sat Jul 6 21:38:33 2019 skipped 1972 relations with composite factors
  28. Sat Jul 6 21:38:33 2019 found 7734213 hash collisions in 187534338 relations
  29. Sat Jul 6 21:38:44 2019 added 1218485 free relations
  30. Sat Jul 6 21:38:44 2019 commencing duplicate removal, pass 2
  31. Sat Jul 6 21:39:26 2019 found 0 duplicates and 188752823 unique relations
  32. Sat Jul 6 21:39:26 2019 memory use: 522.4 MB
  33. Sat Jul 6 21:39:26 2019 reading ideals above 133890048
  34. Sat Jul 6 21:39:26 2019 commencing singleton removal, initial pass
  35. Sat Jul 6 21:52:41 2019 memory use: 3012.0 MB
  36. Sat Jul 6 21:52:41 2019 reading all ideals from disk
  37. Sat Jul 6 21:52:45 2019 memory use: 3654.1 MB
  38. Sat Jul 6 21:52:52 2019 commencing in-memory singleton removal
  39. Sat Jul 6 21:52:58 2019 begin with 188752823 relations and 163731012 unique ideals
  40. Sat Jul 6 21:54:31 2019 reduce to 121306392 relations and 89330464 ideals in 16 passes
  41. Sat Jul 6 21:54:31 2019 max relations containing the same ideal: 40
  42. Sat Jul 6 21:54:41 2019 reading ideals above 720000
  43. Sat Jul 6 21:54:41 2019 commencing singleton removal, initial pass
  44. Sat Jul 6 22:06:14 2019 memory use: 2756.0 MB
  45. Sat Jul 6 22:06:14 2019 reading all ideals from disk
  46. Sat Jul 6 22:06:18 2019 memory use: 4845.1 MB
  47. Sat Jul 6 22:06:28 2019 keeping 103887799 ideals with weight <= 200, target excess is 614961
  48. Sat Jul 6 22:06:40 2019 commencing in-memory singleton removal
  49. Sat Jul 6 22:06:48 2019 begin with 121306392 relations and 103887799 unique ideals
  50. Sat Jul 6 22:07:35 2019 reduce to 121306209 relations and 103887616 ideals in 5 passes
  51. Sat Jul 6 22:07:35 2019 max relations containing the same ideal: 200
  52. Sat Jul 6 22:08:22 2019 removing 11803398 relations and 9803398 ideals in 2000000 cliques
  53. Sat Jul 6 22:08:26 2019 commencing in-memory singleton removal
  54. Sat Jul 6 22:08:34 2019 begin with 109502811 relations and 103887616 unique ideals
  55. Sat Jul 6 22:09:49 2019 reduce to 108552608 relations and 93113083 ideals in 9 passes
  56. Sat Jul 6 22:09:49 2019 max relations containing the same ideal: 197
  57. Sat Jul 6 22:10:33 2019 removing 9019895 relations and 7019895 ideals in 2000000 cliques
  58. Sat Jul 6 22:10:36 2019 commencing in-memory singleton removal
  59. Sat Jul 6 22:10:43 2019 begin with 99532713 relations and 93113083 unique ideals
  60. Sat Jul 6 22:11:43 2019 reduce to 98906768 relations and 85455046 ideals in 8 passes
  61. Sat Jul 6 22:11:43 2019 max relations containing the same ideal: 184
  62. Sat Jul 6 22:12:23 2019 removing 8175982 relations and 6175982 ideals in 2000000 cliques
  63. Sat Jul 6 22:12:25 2019 commencing in-memory singleton removal
  64. Sat Jul 6 22:12:32 2019 begin with 90730786 relations and 85455046 unique ideals
  65. Sat Jul 6 22:13:33 2019 reduce to 90175093 relations and 78712363 ideals in 9 passes
  66. Sat Jul 6 22:13:33 2019 max relations containing the same ideal: 177
  67. Sat Jul 6 22:14:09 2019 removing 7749031 relations and 5749031 ideals in 2000000 cliques
  68. Sat Jul 6 22:14:12 2019 commencing in-memory singleton removal
  69. Sat Jul 6 22:14:18 2019 begin with 82426062 relations and 78712363 unique ideals
  70. Sat Jul 6 22:15:07 2019 reduce to 81893066 relations and 72419299 ideals in 8 passes
  71. Sat Jul 6 22:15:07 2019 max relations containing the same ideal: 166
  72. Sat Jul 6 22:15:40 2019 removing 7485060 relations and 5485060 ideals in 2000000 cliques
  73. Sat Jul 6 22:15:43 2019 commencing in-memory singleton removal
  74. Sat Jul 6 22:15:48 2019 begin with 74408006 relations and 72419299 unique ideals
  75. Sat Jul 6 22:16:32 2019 reduce to 73877690 relations and 66392183 ideals in 8 passes
  76. Sat Jul 6 22:16:32 2019 max relations containing the same ideal: 154
  77. Sat Jul 6 22:17:03 2019 removing 7315862 relations and 5315862 ideals in 2000000 cliques
  78. Sat Jul 6 22:17:05 2019 commencing in-memory singleton removal
  79. Sat Jul 6 22:17:10 2019 begin with 66561828 relations and 66392183 unique ideals
  80. Sat Jul 6 22:17:44 2019 reduce to 66012585 relations and 60514095 ideals in 7 passes
  81. Sat Jul 6 22:17:44 2019 max relations containing the same ideal: 144
  82. Sat Jul 6 22:18:12 2019 removing 7199078 relations and 5199078 ideals in 2000000 cliques
  83. Sat Jul 6 22:18:14 2019 commencing in-memory singleton removal
  84. Sat Jul 6 22:18:18 2019 begin with 58813507 relations and 60514095 unique ideals
  85. Sat Jul 6 22:18:52 2019 reduce to 58229570 relations and 54715310 ideals in 8 passes
  86. Sat Jul 6 22:18:52 2019 max relations containing the same ideal: 134
  87. Sat Jul 6 22:19:17 2019 removing 7132173 relations and 5132173 ideals in 2000000 cliques
  88. Sat Jul 6 22:19:19 2019 commencing in-memory singleton removal
  89. Sat Jul 6 22:19:22 2019 begin with 51097397 relations and 54715310 unique ideals
  90. Sat Jul 6 22:19:52 2019 reduce to 50445987 relations and 48912219 ideals in 8 passes
  91. Sat Jul 6 22:19:52 2019 max relations containing the same ideal: 124
  92. Sat Jul 6 22:20:13 2019 removing 3508218 relations and 2687805 ideals in 820413 cliques
  93. Sat Jul 6 22:20:15 2019 commencing in-memory singleton removal
  94. Sat Jul 6 22:20:18 2019 begin with 46937769 relations and 48912219 unique ideals
  95. Sat Jul 6 22:20:42 2019 reduce to 46764544 relations and 46048658 ideals in 7 passes
  96. Sat Jul 6 22:20:42 2019 max relations containing the same ideal: 121
  97. Sat Jul 6 22:21:06 2019 relations with 0 large ideals: 23214
  98. Sat Jul 6 22:21:06 2019 relations with 1 large ideals: 6927
  99. Sat Jul 6 22:21:06 2019 relations with 2 large ideals: 89026
  100. Sat Jul 6 22:21:06 2019 relations with 3 large ideals: 678571
  101. Sat Jul 6 22:21:06 2019 relations with 4 large ideals: 2850331
  102. Sat Jul 6 22:21:06 2019 relations with 5 large ideals: 7254832
  103. Sat Jul 6 22:21:06 2019 relations with 6 large ideals: 11629774
  104. Sat Jul 6 22:21:06 2019 relations with 7+ large ideals: 24231869
  105. Sat Jul 6 22:21:06 2019 commencing 2-way merge
  106. Sat Jul 6 22:21:34 2019 reduce to 31128354 relation sets and 30412468 unique ideals
  107. Sat Jul 6 22:21:34 2019 commencing full merge
  108. Sat Jul 6 22:32:51 2019 memory use: 3938.7 MB
  109. Sat Jul 6 22:32:58 2019 found 14056819 cycles, need 14034668
  110. Sat Jul 6 22:32:58 2019 weight of 14034668 cycles is about 1600502778 (114.04/cycle)
  111. Sat Jul 6 22:32:58 2019 distribution of cycle lengths:
  112. Sat Jul 6 22:32:58 2019 1 relations: 665152
  113. Sat Jul 6 22:32:58 2019 2 relations: 921822
  114. Sat Jul 6 22:32:58 2019 3 relations: 1064300
  115. Sat Jul 6 22:32:58 2019 4 relations: 1079662
  116. Sat Jul 6 22:32:58 2019 5 relations: 1088286
  117. Sat Jul 6 22:32:58 2019 6 relations: 1052809
  118. Sat Jul 6 22:32:58 2019 7 relations: 1013477
  119. Sat Jul 6 22:32:58 2019 8 relations: 952704
  120. Sat Jul 6 22:32:58 2019 9 relations: 890209
  121. Sat Jul 6 22:32:58 2019 10+ relations: 5306247
  122. Sat Jul 6 22:32:58 2019 heaviest cycle: 28 relations
  123. Sat Jul 6 22:33:04 2019 commencing cycle optimization
  124. Sat Jul 6 22:33:34 2019 start with 120498355 relations
  125. Sat Jul 6 22:38:49 2019 pruned 5322053 relations
  126. Sat Jul 6 22:38:49 2019 memory use: 3189.4 MB
  127. Sat Jul 6 22:38:49 2019 distribution of cycle lengths:
  128. Sat Jul 6 22:38:49 2019 1 relations: 665152
  129. Sat Jul 6 22:38:49 2019 2 relations: 945512
  130. Sat Jul 6 22:38:49 2019 3 relations: 1111111
  131. Sat Jul 6 22:38:49 2019 4 relations: 1125080
  132. Sat Jul 6 22:38:49 2019 5 relations: 1140413
  133. Sat Jul 6 22:38:49 2019 6 relations: 1099691
  134. Sat Jul 6 22:38:49 2019 7 relations: 1060545
  135. Sat Jul 6 22:38:49 2019 8 relations: 993099
  136. Sat Jul 6 22:38:49 2019 9 relations: 922832
  137. Sat Jul 6 22:38:49 2019 10+ relations: 4971233
  138. Sat Jul 6 22:38:49 2019 heaviest cycle: 28 relations
  139. Sat Jul 6 22:39:21 2019 RelProcTime: 4733
  140. Sat Jul 6 22:39:21 2019
  141. Sat Jul 6 22:39:21 2019 commencing linear algebra
  142. Sat Jul 6 22:39:24 2019 read 14034668 cycles
  143. Sat Jul 6 22:39:53 2019 cycles contain 46351372 unique relations
  144. Sat Jul 6 22:42:35 2019 read 46351372 relations
  145. Sat Jul 6 22:44:15 2019 using 20 quadratic characters above 4294917295
  146. Sat Jul 6 22:46:59 2019 building initial matrix
  147. Sat Jul 6 22:54:33 2019 memory use: 5837.8 MB
  148. Sat Jul 6 22:54:45 2019 read 14034668 cycles
  149. Sat Jul 6 22:54:46 2019 matrix is 14034491 x 14034668 (6306.4 MB) with weight 1811666888 (129.09/col)
  150. Sat Jul 6 22:54:46 2019 sparse part has weight 1498804991 (106.79/col)
  151. Sat Jul 6 22:57:10 2019 filtering completed in 2 passes
  152. Sat Jul 6 22:57:12 2019 matrix is 14034320 x 14034497 (6306.4 MB) with weight 1811661046 (129.09/col)
  153. Sat Jul 6 22:57:12 2019 sparse part has weight 1498802994 (106.79/col)
  154. Sat Jul 6 22:57:55 2019 matrix starts at (0, 0)
  155. Sat Jul 6 22:57:56 2019 matrix is 14034320 x 14034497 (6306.4 MB) with weight 1811661046 (129.09/col)
  156. Sat Jul 6 22:57:56 2019 sparse part has weight 1498802994 (106.79/col)
  157. Sat Jul 6 22:57:56 2019 saving the first 48 matrix rows for later
  158. Sat Jul 6 22:57:58 2019 matrix includes 64 packed rows
  159. Sat Jul 6 22:57:59 2019 matrix is 14034272 x 14034497 (6074.9 MB) with weight 1559203752 (111.10/col)
  160. Sat Jul 6 22:57:59 2019 sparse part has weight 1452145765 (103.47/col)
  161. Sat Jul 6 22:57:59 2019 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  162. Sat Jul 6 22:59:05 2019 commencing Lanczos iteration (8 threads)
  163. Sat Jul 6 22:59:05 2019 memory use: 5205.5 MB
  164. Sat Jul 6 22:59:36 2019 linear algebra at 0.0%, ETA 74h31m
  165. Sat Jul 6 22:59:45 2019 checkpointing every 200000 dimensions
  166. Wed Jul 10 03:46:08 2019 lanczos halted after 221947 iterations (dim = 14034267)
  167. Wed Jul 10 03:46:20 2019 recovered 35 nontrivial dependencies
  168. Wed Jul 10 03:46:23 2019 BLanczosTime: 277622
  169. Wed Jul 10 03:46:23 2019
  170. Wed Jul 10 03:46:23 2019 commencing square root phase
  171. Wed Jul 10 03:46:23 2019 handling dependencies 1 to 64
  172. Wed Jul 10 03:46:23 2019 reading relations for dependency 1
  173. Wed Jul 10 03:46:26 2019 read 7017372 cycles
  174. Wed Jul 10 03:46:40 2019 cycles contain 23168762 unique relations
  175. Wed Jul 10 03:48:07 2019 read 23168762 relations
  176. Wed Jul 10 03:49:44 2019 multiplying 23168762 relations
  177. Wed Jul 10 04:03:55 2019 multiply complete, coefficients have about 638.56 million bits
  178. Wed Jul 10 04:03:57 2019 initial square root is modulo 535663
  179. Wed Jul 10 04:18:27 2019 sqrtTime: 1924
  180. Wed Jul 10 04:18:27 2019 p71 factor: 12047148139352766754859725045952250501198736783793080325577218673476201
  181. Wed Jul 10 04:18:27 2019 p158 factor: 12199899427634326767083034694090485186756744665386819009946581419641447176080150003216079386485607377817166862017661902632438072206873701021584228886114023169
  182. Wed Jul 10 04:18:27 2019 elapsed time 78:58:01
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