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C205_121_72

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Apr 20th, 2016
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  1. Sat Apr 16 20:21:47 2016
  2. Sat Apr 16 20:21:47 2016
  3. Sat Apr 16 20:21:47 2016 Msieve v. 1.52 (SVN unknown)
  4. Sat Apr 16 20:21:47 2016 random seeds: c1cf95a4 fea34b2e
  5. Sat Apr 16 20:21:47 2016 factoring 2612071396684510919239237426225980152636994267713741947270583189065055704924361920212307234248854727725075882903225965473945231924127694141697996428037333342903372360349313755082357602093933493714663593201 (205 digits)
  6. Sat Apr 16 20:21:48 2016 no P-1/P+1/ECM available, skipping
  7. Sat Apr 16 20:21:48 2016 commencing number field sieve (205-digit input)
  8. Sat Apr 16 20:21:48 2016 R0: -9849732675807611094711841
  9. Sat Apr 16 20:21:48 2016 R1: 14016833953562607293918185758734155776
  10. Sat Apr 16 20:21:48 2016 A0: 72
  11. Sat Apr 16 20:21:48 2016 A1: 0
  12. Sat Apr 16 20:21:48 2016 A2: 0
  13. Sat Apr 16 20:21:48 2016 A3: 0
  14. Sat Apr 16 20:21:48 2016 A4: 0
  15. Sat Apr 16 20:21:48 2016 A5: 0
  16. Sat Apr 16 20:21:48 2016 A6: 1
  17. Sat Apr 16 20:21:48 2016 skew 1.00, size 3.236e-011, alpha 1.337, combined = 1.502e-012 rroots = 0
  18. Sat Apr 16 20:21:48 2016
  19. Sat Apr 16 20:21:48 2016 commencing relation filtering
  20. Sat Apr 16 20:21:48 2016 setting target matrix density to 116.0
  21. Sat Apr 16 20:21:48 2016 estimated available RAM is 8098.7 MB
  22. Sat Apr 16 20:21:48 2016 commencing duplicate removal, pass 1
  23. Sat Apr 16 20:41:00 2016 found 4495010 hash collisions in 101343059 relations
  24. Sat Apr 16 20:41:33 2016 added 1218752 free relations
  25. Sat Apr 16 20:41:33 2016 commencing duplicate removal, pass 2
  26. Sat Apr 16 20:43:34 2016 found 0 duplicates and 102561811 unique relations
  27. Sat Apr 16 20:43:34 2016 memory use: 261.2 MB
  28. Sat Apr 16 20:43:34 2016 reading ideals above 75956224
  29. Sat Apr 16 20:43:34 2016 commencing singleton removal, initial pass
  30. Sat Apr 16 21:04:53 2016 memory use: 2756.0 MB
  31. Sat Apr 16 21:04:53 2016 reading all ideals from disk
  32. Sat Apr 16 21:05:04 2016 memory use: 1735.6 MB
  33. Sat Apr 16 21:05:08 2016 commencing in-memory singleton removal
  34. Sat Apr 16 21:05:12 2016 begin with 102561811 relations and 82492792 unique ideals
  35. Sat Apr 16 21:05:52 2016 reduce to 68698275 relations and 45324860 ideals in 13 passes
  36. Sat Apr 16 21:05:52 2016 max relations containing the same ideal: 41
  37. Sat Apr 16 21:05:58 2016 reading ideals above 720000
  38. Sat Apr 16 21:05:58 2016 commencing singleton removal, initial pass
  39. Sat Apr 16 21:22:48 2016 memory use: 1506.0 MB
  40. Sat Apr 16 21:22:48 2016 reading all ideals from disk
  41. Sat Apr 16 21:23:07 2016 memory use: 2568.5 MB
  42. Sat Apr 16 21:23:15 2016 keeping 53865836 ideals with weight <= 200, target excess is 352875
  43. Sat Apr 16 21:23:22 2016 commencing in-memory singleton removal
  44. Sat Apr 16 21:23:28 2016 begin with 68698275 relations and 53865836 unique ideals
  45. Sat Apr 16 21:24:05 2016 reduce to 68696912 relations and 53864473 ideals in 6 passes
  46. Sat Apr 16 21:24:05 2016 max relations containing the same ideal: 200
  47. Sat Apr 16 21:24:38 2016 removing 8494087 relations and 6494087 ideals in 2000000 cliques
  48. Sat Apr 16 21:24:41 2016 commencing in-memory singleton removal
  49. Sat Apr 16 21:24:46 2016 begin with 60202825 relations and 53864473 unique ideals
  50. Sat Apr 16 21:25:29 2016 reduce to 59357014 relations and 46494063 ideals in 8 passes
  51. Sat Apr 16 21:25:29 2016 max relations containing the same ideal: 191
  52. Sat Apr 16 21:25:59 2016 removing 6797796 relations and 4797796 ideals in 2000000 cliques
  53. Sat Apr 16 21:26:01 2016 commencing in-memory singleton removal
  54. Sat Apr 16 21:26:06 2016 begin with 52559218 relations and 46494063 unique ideals
  55. Sat Apr 16 21:26:39 2016 reduce to 51961825 relations and 41079283 ideals in 7 passes
  56. Sat Apr 16 21:26:39 2016 max relations containing the same ideal: 179
  57. Sat Apr 16 21:27:05 2016 removing 6306204 relations and 4306204 ideals in 2000000 cliques
  58. Sat Apr 16 21:27:07 2016 commencing in-memory singleton removal
  59. Sat Apr 16 21:27:11 2016 begin with 45655621 relations and 41079283 unique ideals
  60. Sat Apr 16 21:27:39 2016 reduce to 45109203 relations and 36207111 ideals in 7 passes
  61. Sat Apr 16 21:27:39 2016 max relations containing the same ideal: 160
  62. Sat Apr 16 21:28:02 2016 removing 6067277 relations and 4067277 ideals in 2000000 cliques
  63. Sat Apr 16 21:28:03 2016 commencing in-memory singleton removal
  64. Sat Apr 16 21:28:07 2016 begin with 39041926 relations and 36207111 unique ideals
  65. Sat Apr 16 21:28:33 2016 reduce to 38494329 relations and 31570500 ideals in 8 passes
  66. Sat Apr 16 21:28:33 2016 max relations containing the same ideal: 145
  67. Sat Apr 16 21:28:53 2016 removing 5914723 relations and 3914723 ideals in 2000000 cliques
  68. Sat Apr 16 21:28:55 2016 commencing in-memory singleton removal
  69. Sat Apr 16 21:28:57 2016 begin with 32579606 relations and 31570500 unique ideals
  70. Sat Apr 16 21:29:22 2016 reduce to 32001887 relations and 27051802 ideals in 9 passes
  71. Sat Apr 16 21:29:22 2016 max relations containing the same ideal: 128
  72. Sat Apr 16 21:29:38 2016 removing 5812438 relations and 3812438 ideals in 2000000 cliques
  73. Sat Apr 16 21:29:40 2016 commencing in-memory singleton removal
  74. Sat Apr 16 21:29:42 2016 begin with 26189449 relations and 27051802 unique ideals
  75. Sat Apr 16 21:29:59 2016 reduce to 25554609 relations and 22570261 ideals in 8 passes
  76. Sat Apr 16 21:29:59 2016 max relations containing the same ideal: 109
  77. Sat Apr 16 21:30:12 2016 removing 5719050 relations and 3719050 ideals in 2000000 cliques
  78. Sat Apr 16 21:30:13 2016 commencing in-memory singleton removal
  79. Sat Apr 16 21:30:15 2016 begin with 19835559 relations and 22570261 unique ideals
  80. Sat Apr 16 21:30:29 2016 reduce to 19094674 relations and 18060382 ideals in 9 passes
  81. Sat Apr 16 21:30:29 2016 max relations containing the same ideal: 91
  82. Sat Apr 16 21:30:39 2016 removing 2197299 relations and 1572343 ideals in 624956 cliques
  83. Sat Apr 16 21:30:40 2016 commencing in-memory singleton removal
  84. Sat Apr 16 21:30:41 2016 begin with 16897375 relations and 18060382 unique ideals
  85. Sat Apr 16 21:30:50 2016 reduce to 16718281 relations and 16303431 ideals in 7 passes
  86. Sat Apr 16 21:30:50 2016 max relations containing the same ideal: 82
  87. Sat Apr 16 21:31:01 2016 relations with 0 large ideals: 12909
  88. Sat Apr 16 21:31:01 2016 relations with 1 large ideals: 4848
  89. Sat Apr 16 21:31:01 2016 relations with 2 large ideals: 52519
  90. Sat Apr 16 21:31:01 2016 relations with 3 large ideals: 372466
  91. Sat Apr 16 21:31:01 2016 relations with 4 large ideals: 1417783
  92. Sat Apr 16 21:31:01 2016 relations with 5 large ideals: 3198030
  93. Sat Apr 16 21:31:01 2016 relations with 6 large ideals: 4456056
  94. Sat Apr 16 21:31:01 2016 relations with 7+ large ideals: 7203670
  95. Sat Apr 16 21:31:01 2016 commencing 2-way merge
  96. Sat Apr 16 21:31:12 2016 reduce to 11278305 relation sets and 10863455 unique ideals
  97. Sat Apr 16 21:31:12 2016 commencing full merge
  98. Sat Apr 16 21:36:24 2016 memory use: 1502.0 MB
  99. Sat Apr 16 21:36:25 2016 found 5167753 cycles, need 5143655
  100. Sat Apr 16 21:36:26 2016 weight of 5143655 cycles is about 596843691 (116.03/cycle)
  101. Sat Apr 16 21:36:26 2016 distribution of cycle lengths:
  102. Sat Apr 16 21:36:26 2016 1 relations: 146400
  103. Sat Apr 16 21:36:26 2016 2 relations: 273586
  104. Sat Apr 16 21:36:26 2016 3 relations: 350071
  105. Sat Apr 16 21:36:26 2016 4 relations: 379956
  106. Sat Apr 16 21:36:26 2016 5 relations: 400437
  107. Sat Apr 16 21:36:26 2016 6 relations: 402862
  108. Sat Apr 16 21:36:26 2016 7 relations: 396988
  109. Sat Apr 16 21:36:26 2016 8 relations: 380220
  110. Sat Apr 16 21:36:26 2016 9 relations: 354219
  111. Sat Apr 16 21:36:26 2016 10+ relations: 2058916
  112. Sat Apr 16 21:36:26 2016 heaviest cycle: 28 relations
  113. Sat Apr 16 21:36:27 2016 commencing cycle optimization
  114. Sat Apr 16 21:36:36 2016 start with 45910954 relations
  115. Sat Apr 16 21:38:57 2016 pruned 2288698 relations
  116. Sat Apr 16 21:38:57 2016 memory use: 1171.8 MB
  117. Sat Apr 16 21:38:57 2016 distribution of cycle lengths:
  118. Sat Apr 16 21:38:57 2016 1 relations: 146400
  119. Sat Apr 16 21:38:57 2016 2 relations: 280822
  120. Sat Apr 16 21:38:57 2016 3 relations: 365940
  121. Sat Apr 16 21:38:57 2016 4 relations: 397581
  122. Sat Apr 16 21:38:57 2016 5 relations: 422665
  123. Sat Apr 16 21:38:57 2016 6 relations: 425052
  124. Sat Apr 16 21:38:57 2016 7 relations: 421066
  125. Sat Apr 16 21:38:57 2016 8 relations: 401691
  126. Sat Apr 16 21:38:57 2016 9 relations: 372946
  127. Sat Apr 16 21:38:57 2016 10+ relations: 1909492
  128. Sat Apr 16 21:38:57 2016 heaviest cycle: 28 relations
  129. Sat Apr 16 21:39:05 2016 RelProcTime: 4637
  130. Sat Apr 16 21:39:05 2016
  131. Sat Apr 16 21:39:05 2016 commencing linear algebra
  132. Sat Apr 16 21:39:06 2016 read 5143655 cycles
  133. Sat Apr 16 21:39:17 2016 cycles contain 16490031 unique relations
  134. Sat Apr 16 21:43:23 2016 read 16490031 relations
  135. Sat Apr 16 21:43:56 2016 using 20 quadratic characters above 1073741330
  136. Sat Apr 16 21:45:20 2016 building initial matrix
  137. Sat Apr 16 21:49:37 2016 memory use: 2142.3 MB
  138. Sat Apr 16 21:49:44 2016 read 5143655 cycles
  139. Sat Apr 16 21:49:46 2016 matrix is 5143478 x 5143655 (2330.1 MB) with weight 673111368 (130.86/col)
  140. Sat Apr 16 21:49:46 2016 sparse part has weight 554238533 (107.75/col)
  141. Sat Apr 16 21:50:56 2016 filtering completed in 2 passes
  142. Sat Apr 16 21:50:58 2016 matrix is 5143402 x 5143579 (2330.1 MB) with weight 673108487 (130.86/col)
  143. Sat Apr 16 21:50:58 2016 sparse part has weight 554237385 (107.75/col)
  144. Sat Apr 16 21:51:38 2016 matrix starts at (0, 0)
  145. Sat Apr 16 21:51:40 2016 matrix is 5143402 x 5143579 (2330.1 MB) with weight 673108487 (130.86/col)
  146. Sat Apr 16 21:51:40 2016 sparse part has weight 554237385 (107.75/col)
  147. Sat Apr 16 21:51:40 2016 saving the first 48 matrix rows for later
  148. Sat Apr 16 21:51:42 2016 matrix includes 64 packed rows
  149. Sat Apr 16 21:51:43 2016 matrix is 5143354 x 5143579 (2235.7 MB) with weight 576299032 (112.04/col)
  150. Sat Apr 16 21:51:43 2016 sparse part has weight 534635812 (103.94/col)
  151. Sat Apr 16 21:51:43 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  152. Sat Apr 16 21:52:15 2016 commencing Lanczos iteration (4 threads)
  153. Sat Apr 16 21:52:15 2016 memory use: 1885.2 MB
  154. Sat Apr 16 21:52:48 2016 linear algebra at 0.0%, ETA 30h 8m
  155. Sat Apr 16 21:52:58 2016 checkpointing every 180000 dimensions
  156. Mon Apr 18 09:54:26 2016 lanczos halted after 81337 iterations (dim = 5143352)
  157. Mon Apr 18 09:54:37 2016 recovered 37 nontrivial dependencies
  158. Mon Apr 18 09:54:40 2016 BLanczosTime: 130535
  159. Mon Apr 18 09:54:40 2016
  160. Mon Apr 18 09:54:40 2016 commencing square root phase
  161. Mon Apr 18 09:54:40 2016 handling dependencies 1 to 64
  162. Mon Apr 18 09:54:40 2016 reading relations for dependency 1
  163. Mon Apr 18 09:54:42 2016 read 2571675 cycles
  164. Mon Apr 18 09:54:49 2016 cycles contain 8243856 unique relations
  165. Mon Apr 18 09:57:22 2016 read 8243856 relations
  166. Mon Apr 18 09:58:15 2016 multiplying 8243856 relations
  167. Mon Apr 18 10:06:32 2016 multiply complete, coefficients have about 205.50 million bits
  168. Mon Apr 18 10:06:35 2016 initial square root is modulo 23699941
  169. Mon Apr 18 10:16:51 2016 GCD is 1, no factor found
  170. Mon Apr 18 10:16:51 2016 reading relations for dependency 2
  171. Mon Apr 18 10:17:05 2016 read 2571158 cycles
  172. Mon Apr 18 10:17:11 2016 cycles contain 8244788 unique relations
  173. Mon Apr 18 10:19:16 2016 read 8244788 relations
  174. Mon Apr 18 10:20:07 2016 multiplying 8244788 relations
  175. Mon Apr 18 10:28:03 2016 multiply complete, coefficients have about 205.52 million bits
  176. Mon Apr 18 10:28:08 2016 initial square root is modulo 23746669
  177. Mon Apr 18 10:38:10 2016 GCD is N, no factor found
  178. Mon Apr 18 10:38:10 2016 reading relations for dependency 3
  179. Mon Apr 18 10:38:22 2016 read 2573608 cycles
  180. Mon Apr 18 10:38:28 2016 cycles contain 8248724 unique relations
  181. Mon Apr 18 10:40:32 2016 read 8248724 relations
  182. Mon Apr 18 10:41:24 2016 multiplying 8248724 relations
  183. Mon Apr 18 10:49:15 2016 multiply complete, coefficients have about 205.62 million bits
  184. Mon Apr 18 10:49:18 2016 initial square root is modulo 23947351
  185. Mon Apr 18 10:59:31 2016 sqrtTime: 3891
  186. Mon Apr 18 10:59:31 2016 prp90 factor: 351464385372188675625175437787815025288655349374768580015221257470363733082592936562827731
  187. Mon Apr 18 10:59:31 2016 prp115 factor: 7431966097840659729982937706066687334004954165101264321592785670170075260547424808057831344960649736701447710355371
  188. Mon Apr 18 10:59:31 2016 elapsed time 38:37:44
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