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11001181_31m1

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Dec 5th, 2018
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  1. Tue Dec 04 08:49:30 2018
  2. Tue Dec 04 08:49:30 2018
  3. Tue Dec 04 08:49:30 2018 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Dec 04 08:49:30 2018 random seeds: 81d2a010 bdf4274d
  5. Tue Dec 04 08:49:30 2018 factoring 1516592080848922068433490226399280698579757782291453795277474242767701238442830967650685334915175836768366508023925889957339692983734130999775200449904890390092930779198597658746304247179819000991787 (199 digits)
  6. Tue Dec 04 08:49:31 2018 searching for 15-digit factors
  7. Tue Dec 04 08:49:32 2018 commencing number field sieve (199-digit input)
  8. Tue Dec 04 08:49:32 2018 R0: 161137473671262144413611059744849901
  9. Tue Dec 04 08:49:32 2018 R1: -1
  10. Tue Dec 04 08:49:32 2018 A0: -1
  11. Tue Dec 04 08:49:32 2018 A1: 0
  12. Tue Dec 04 08:49:32 2018 A2: 0
  13. Tue Dec 04 08:49:32 2018 A3: 0
  14. Tue Dec 04 08:49:32 2018 A4: 0
  15. Tue Dec 04 08:49:32 2018 A5: 0
  16. Tue Dec 04 08:49:32 2018 A6: 11001181
  17. Tue Dec 04 08:49:32 2018 skew 0.07, size 1.869e-011, alpha 1.116, combined = 1.025e-012 rroots = 2
  18. Tue Dec 04 08:49:32 2018
  19. Tue Dec 04 08:49:32 2018 commencing relation filtering
  20. Tue Dec 04 08:49:32 2018 setting target matrix density to 110.0
  21. Tue Dec 04 08:49:32 2018 estimated available RAM is 16335.3 MB
  22. Tue Dec 04 08:49:32 2018 commencing duplicate removal, pass 1
  23. Tue Dec 04 08:49:50 2018 error -1 reading relation 1978902
  24. Tue Dec 04 08:50:13 2018 error -15 reading relation 4542006
  25. Tue Dec 04 08:50:53 2018 error -9 reading relation 8810415
  26. .....
  27. Tue Dec 04 09:05:25 2018 error -9 reading relation 104644250
  28. Tue Dec 04 09:05:25 2018 error -15 reading relation 104715143
  29. Tue Dec 04 09:05:26 2018 error -9 reading relation 104804898
  30. Tue Dec 04 09:05:26 2018 error -1 reading relation 104835477
  31. Tue Dec 04 09:05:27 2018 error -9 reading relation 104894179
  32. Tue Dec 04 09:05:27 2018 error -5 reading relation 104920166
  33. Tue Dec 04 09:05:28 2018 error -9 reading relation 105056147
  34. Tue Dec 04 09:05:29 2018 skipped 929 relations with b > 2^32
  35. Tue Dec 04 09:05:29 2018 skipped 9677 relations with composite factors
  36. Tue Dec 04 09:05:29 2018 found 18143770 hash collisions in 105040742 relations
  37. Tue Dec 04 09:05:45 2018 added 1220312 free relations
  38. Tue Dec 04 09:05:45 2018 commencing duplicate removal, pass 2
  39. Tue Dec 04 09:06:36 2018 found 17100811 duplicates and 89160243 unique relations
  40. Tue Dec 04 09:06:36 2018 memory use: 660.8 MB
  41. Tue Dec 04 09:06:36 2018 reading ideals above 97583104
  42. Tue Dec 04 09:06:36 2018 commencing singleton removal, initial pass
  43. Tue Dec 04 09:16:17 2018 memory use: 1506.0 MB
  44. Tue Dec 04 09:16:18 2018 reading all ideals from disk
  45. Tue Dec 04 09:16:18 2018 memory use: 1464.8 MB
  46. Tue Dec 04 09:16:21 2018 commencing in-memory singleton removal
  47. Tue Dec 04 09:16:23 2018 begin with 89160243 relations and 76127158 unique ideals
  48. Tue Dec 04 09:16:54 2018 reduce to 51011642 relations and 33296637 ideals in 15 passes
  49. Tue Dec 04 09:16:54 2018 max relations containing the same ideal: 33
  50. Tue Dec 04 09:16:58 2018 reading ideals above 720000
  51. Tue Dec 04 09:16:58 2018 commencing singleton removal, initial pass
  52. Tue Dec 04 09:23:47 2018 memory use: 1378.0 MB
  53. Tue Dec 04 09:23:47 2018 reading all ideals from disk
  54. Tue Dec 04 09:23:48 2018 memory use: 1918.0 MB
  55. Tue Dec 04 09:23:52 2018 keeping 44291737 ideals with weight <= 200, target excess is 267318
  56. Tue Dec 04 09:23:57 2018 commencing in-memory singleton removal
  57. Tue Dec 04 09:24:01 2018 begin with 51011643 relations and 44291737 unique ideals
  58. Tue Dec 04 09:24:56 2018 reduce to 50946033 relations and 44226064 ideals in 13 passes
  59. Tue Dec 04 09:24:56 2018 max relations containing the same ideal: 200
  60. Tue Dec 04 09:25:17 2018 removing 5879811 relations and 4879811 ideals in 1000000 cliques
  61. Tue Dec 04 09:25:19 2018 commencing in-memory singleton removal
  62. Tue Dec 04 09:25:22 2018 begin with 45066222 relations and 44226064 unique ideals
  63. Tue Dec 04 09:26:03 2018 reduce to 44524928 relations and 38791150 ideals in 11 passes
  64. Tue Dec 04 09:26:03 2018 max relations containing the same ideal: 191
  65. Tue Dec 04 09:26:22 2018 removing 4517612 relations and 3517612 ideals in 1000000 cliques
  66. Tue Dec 04 09:26:23 2018 commencing in-memory singleton removal
  67. Tue Dec 04 09:26:26 2018 begin with 40007316 relations and 38791150 unique ideals
  68. Tue Dec 04 09:26:52 2018 reduce to 39663840 relations and 34922234 ideals in 8 passes
  69. Tue Dec 04 09:26:52 2018 max relations containing the same ideal: 177
  70. Tue Dec 04 09:27:09 2018 removing 4070658 relations and 3070658 ideals in 1000000 cliques
  71. Tue Dec 04 09:27:10 2018 commencing in-memory singleton removal
  72. Tue Dec 04 09:27:13 2018 begin with 35593182 relations and 34922234 unique ideals
  73. Tue Dec 04 09:27:33 2018 reduce to 35294248 relations and 31545588 ideals in 7 passes
  74. Tue Dec 04 09:27:33 2018 max relations containing the same ideal: 166
  75. Tue Dec 04 09:27:48 2018 removing 3819359 relations and 2819359 ideals in 1000000 cliques
  76. Tue Dec 04 09:27:49 2018 commencing in-memory singleton removal
  77. Tue Dec 04 09:27:52 2018 begin with 31474889 relations and 31545588 unique ideals
  78. Tue Dec 04 09:28:09 2018 reduce to 31190967 relations and 28435064 ideals in 7 passes
  79. Tue Dec 04 09:28:09 2018 max relations containing the same ideal: 155
  80. Tue Dec 04 09:28:22 2018 removing 3652986 relations and 2652986 ideals in 1000000 cliques
  81. Tue Dec 04 09:28:23 2018 commencing in-memory singleton removal
  82. Tue Dec 04 09:28:25 2018 begin with 27537981 relations and 28435064 unique ideals
  83. Tue Dec 04 09:28:43 2018 reduce to 27254018 relations and 25490026 ideals in 8 passes
  84. Tue Dec 04 09:28:43 2018 max relations containing the same ideal: 142
  85. Tue Dec 04 09:28:55 2018 removing 3530108 relations and 2530108 ideals in 1000000 cliques
  86. Tue Dec 04 09:28:56 2018 commencing in-memory singleton removal
  87. Tue Dec 04 09:28:57 2018 begin with 23723910 relations and 25490026 unique ideals
  88. Tue Dec 04 09:29:10 2018 reduce to 23424274 relations and 22650689 ideals in 7 passes
  89. Tue Dec 04 09:29:10 2018 max relations containing the same ideal: 130
  90. Tue Dec 04 09:29:20 2018 removing 1857763 relations and 1394267 ideals in 463496 cliques
  91. Tue Dec 04 09:29:21 2018 commencing in-memory singleton removal
  92. Tue Dec 04 09:29:22 2018 begin with 21566511 relations and 22650689 unique ideals
  93. Tue Dec 04 09:29:32 2018 reduce to 21474259 relations and 21162554 ideals in 6 passes
  94. Tue Dec 04 09:29:32 2018 max relations containing the same ideal: 117
  95. Tue Dec 04 09:29:45 2018 relations with 0 large ideals: 9437
  96. Tue Dec 04 09:29:45 2018 relations with 1 large ideals: 3423
  97. Tue Dec 04 09:29:45 2018 relations with 2 large ideals: 22646
  98. Tue Dec 04 09:29:45 2018 relations with 3 large ideals: 199119
  99. Tue Dec 04 09:29:45 2018 relations with 4 large ideals: 962643
  100. Tue Dec 04 09:29:45 2018 relations with 5 large ideals: 2782088
  101. Tue Dec 04 09:29:45 2018 relations with 6 large ideals: 5017158
  102. Tue Dec 04 09:29:45 2018 relations with 7+ large ideals: 12477745
  103. Tue Dec 04 09:29:45 2018 commencing 2-way merge
  104. Tue Dec 04 09:29:58 2018 reduce to 14404638 relation sets and 14092933 unique ideals
  105. Tue Dec 04 09:29:58 2018 commencing full merge
  106. Tue Dec 04 09:35:06 2018 memory use: 1902.0 MB
  107. Tue Dec 04 09:35:08 2018 found 6654012 cycles, need 6637133
  108. Tue Dec 04 09:35:09 2018 weight of 6637133 cycles is about 730153179 (110.01/cycle)
  109. Tue Dec 04 09:35:09 2018 distribution of cycle lengths:
  110. Tue Dec 04 09:35:09 2018 1 relations: 243451
  111. Tue Dec 04 09:35:09 2018 2 relations: 417851
  112. Tue Dec 04 09:35:09 2018 3 relations: 511877
  113. Tue Dec 04 09:35:09 2018 4 relations: 532204
  114. Tue Dec 04 09:35:09 2018 5 relations: 544865
  115. Tue Dec 04 09:35:09 2018 6 relations: 529282
  116. Tue Dec 04 09:35:09 2018 7 relations: 508541
  117. Tue Dec 04 09:35:09 2018 8 relations: 475452
  118. Tue Dec 04 09:35:09 2018 9 relations: 441861
  119. Tue Dec 04 09:35:09 2018 10+ relations: 2431749
  120. Tue Dec 04 09:35:09 2018 heaviest cycle: 28 relations
  121. Tue Dec 04 09:35:10 2018 commencing cycle optimization
  122. Tue Dec 04 09:35:20 2018 start with 56089530 relations
  123. Tue Dec 04 09:37:33 2018 pruned 2503071 relations
  124. Tue Dec 04 09:37:33 2018 memory use: 1479.7 MB
  125. Tue Dec 04 09:37:33 2018 distribution of cycle lengths:
  126. Tue Dec 04 09:37:33 2018 1 relations: 243451
  127. Tue Dec 04 09:37:33 2018 2 relations: 428819
  128. Tue Dec 04 09:37:33 2018 3 relations: 534943
  129. Tue Dec 04 09:37:33 2018 4 relations: 555704
  130. Tue Dec 04 09:37:33 2018 5 relations: 572296
  131. Tue Dec 04 09:37:33 2018 6 relations: 553078
  132. Tue Dec 04 09:37:33 2018 7 relations: 532642
  133. Tue Dec 04 09:37:33 2018 8 relations: 495743
  134. Tue Dec 04 09:37:33 2018 9 relations: 458263
  135. Tue Dec 04 09:37:33 2018 10+ relations: 2262194
  136. Tue Dec 04 09:37:33 2018 heaviest cycle: 28 relations
  137. Tue Dec 04 09:37:42 2018 RelProcTime: 2890
  138. Tue Dec 04 09:37:42 2018
  139. Tue Dec 04 09:37:42 2018 commencing linear algebra
  140. Tue Dec 04 09:37:44 2018 read 6637133 cycles
  141. Tue Dec 04 09:37:57 2018 cycles contain 21300915 unique relations
  142. Tue Dec 04 09:41:03 2018 read 21300915 relations
  143. Tue Dec 04 09:41:37 2018 using 20 quadratic characters above 4294917295
  144. Tue Dec 04 09:43:14 2018 building initial matrix
  145. Tue Dec 04 09:47:37 2018 memory use: 2711.7 MB
  146. Tue Dec 04 09:47:42 2018 read 6637133 cycles
  147. Tue Dec 04 09:47:43 2018 matrix is 6636956 x 6637133 (2884.9 MB) with weight 835261210 (125.85/col)
  148. Tue Dec 04 09:47:43 2018 sparse part has weight 683247814 (102.94/col)
  149. Tue Dec 04 09:49:03 2018 filtering completed in 2 passes
  150. Tue Dec 04 09:49:04 2018 matrix is 6636889 x 6637065 (2884.9 MB) with weight 835258906 (125.85/col)
  151. Tue Dec 04 09:49:04 2018 sparse part has weight 683247046 (102.94/col)
  152. Tue Dec 04 09:49:41 2018 matrix starts at (0, 0)
  153. Tue Dec 04 09:49:42 2018 matrix is 6636889 x 6637065 (2884.9 MB) with weight 835258906 (125.85/col)
  154. Tue Dec 04 09:49:42 2018 sparse part has weight 683247046 (102.94/col)
  155. Tue Dec 04 09:49:42 2018 saving the first 112 matrix rows for later
  156. Tue Dec 04 09:49:44 2018 matrix includes 128 packed rows
  157. Tue Dec 04 09:49:46 2018 matrix is 6636777 x 6637065 (2677.6 MB) with weight 659389439 (99.35/col)
  158. Tue Dec 04 09:49:46 2018 sparse part has weight 622268601 (93.76/col)
  159. Tue Dec 04 09:49:46 2018 using block size 8192 and superblock size 294912 for processor cache size 6144 kB
  160. Tue Dec 04 09:50:11 2018 commencing Lanczos iteration (8 threads)
  161. Tue Dec 04 09:50:11 2018 memory use: 2976.9 MB
  162. Tue Dec 04 09:50:37 2018 linear algebra at 0.0%, ETA 28h59m
  163. Tue Dec 04 09:50:45 2018 checkpointing every 230000 dimensions
  164. Wed Dec 05 14:16:25 2018 lanczos halted after 52163 iterations (dim = 6636777)
  165. Wed Dec 05 14:16:37 2018 recovered 37 nontrivial dependencies
  166. Wed Dec 05 14:16:41 2018 BLanczosTime: 103139
  167. Wed Dec 05 14:16:41 2018
  168. Wed Dec 05 14:16:41 2018 commencing square root phase
  169. Wed Dec 05 14:16:41 2018 handling dependencies 1 to 64
  170. Wed Dec 05 14:16:41 2018 reading relations for dependency 1
  171. Wed Dec 05 14:16:45 2018 read 3318938 cycles
  172. Wed Dec 05 14:16:51 2018 cycles contain 10653448 unique relations
  173. Wed Dec 05 14:19:05 2018 read 10653448 relations
  174. Wed Dec 05 14:19:51 2018 multiplying 10653448 relations
  175. Wed Dec 05 14:34:49 2018 multiply complete, coefficients have about 490.33 million bits
  176. Wed Dec 05 14:34:50 2018 initial square root is modulo 628084279
  177. Wed Dec 05 14:50:48 2018 sqrtTime: 2047
  178. Wed Dec 05 14:50:48 2018 p57 factor: 592595855879546971799535206027753281436144895927134803217
  179. Wed Dec 05 14:50:48 2018 p142 factor: 2559235043245374431489684682062187211353666534886724092067433476520020688384748074569332416023474670426669247152203382447275794612552973689211
  180. Wed Dec 05 14:50:48 2018 elapsed time 30:01:18
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