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C180_146_44

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Apr 8th, 2016
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  1. Fri Apr 1 09:53:48 2016
  2. Fri Apr 1 09:53:48 2016
  3. Fri Apr 1 09:53:48 2016 Msieve v. 1.53 (SVN 991)
  4. Fri Apr 1 09:53:48 2016 random seeds: 05289bea d9056773
  5. Fri Apr 1 09:53:48 2016 factoring 225301927022046565202242954796227218337870684125813233033369110148931647244336429667713247579928081707990730298670800830136886164940862876931363491521165389423617826536258413797493 (180 digits)
  6. Fri Apr 1 09:53:49 2016 no P-1/P+1/ECM available, skipping
  7. Fri Apr 1 09:53:49 2016 commencing number field sieve (180-digit input)
  8. Fri Apr 1 09:53:49 2016 R0: -1786025489908970714732837207479116954268073984
  9. Fri Apr 1 09:53:49 2016 R1: 58871586708267913
  10. Fri Apr 1 09:53:49 2016 A0: 4
  11. Fri Apr 1 09:53:49 2016 A1: 0
  12. Fri Apr 1 09:53:49 2016 A2: 0
  13. Fri Apr 1 09:53:49 2016 A3: 0
  14. Fri Apr 1 09:53:49 2016 A4: 0
  15. Fri Apr 1 09:53:49 2016 A5: 803
  16. Fri Apr 1 09:53:49 2016 skew 1.00, size 7.767e-16, alpha -0.022, combined = 8.657e-13 rroots = 1
  17. Fri Apr 1 09:53:49 2016
  18. Fri Apr 1 09:53:49 2016 commencing relation filtering
  19. Fri Apr 1 09:53:49 2016 setting target matrix density to 120.0
  20. Fri Apr 1 09:53:49 2016 estimated available RAM is 16010.6 MB
  21. Fri Apr 1 09:53:49 2016 commencing duplicate removal, pass 1
  22. Fri Apr 1 10:14:07 2016 skipped 155 relations with b > 2^32
  23. Fri Apr 1 10:14:07 2016 found 3965893 hash collisions in 94972575 relations
  24. Fri Apr 1 10:14:55 2016 added 731048 free relations
  25. Fri Apr 1 10:14:55 2016 commencing duplicate removal, pass 2
  26. Fri Apr 1 10:15:42 2016 found 1 duplicates and 95703622 unique relations
  27. Fri Apr 1 10:15:42 2016 memory use: 261.2 MB
  28. Fri Apr 1 10:15:42 2016 reading ideals above 89456640
  29. Fri Apr 1 10:15:42 2016 commencing singleton removal, initial pass
  30. Fri Apr 1 10:32:21 2016 memory use: 1506.0 MB
  31. Fri Apr 1 10:32:21 2016 reading all ideals from disk
  32. Fri Apr 1 10:32:23 2016 memory use: 1581.7 MB
  33. Fri Apr 1 10:32:30 2016 commencing in-memory singleton removal
  34. Fri Apr 1 10:32:37 2016 begin with 95703622 relations and 79783972 unique ideals
  35. Fri Apr 1 10:33:39 2016 reduce to 59735702 relations and 39931330 ideals in 14 passes
  36. Fri Apr 1 10:33:39 2016 max relations containing the same ideal: 40
  37. Fri Apr 1 10:33:44 2016 reading ideals above 720000
  38. Fri Apr 1 10:33:44 2016 commencing singleton removal, initial pass
  39. Fri Apr 1 10:45:33 2016 memory use: 1378.0 MB
  40. Fri Apr 1 10:45:33 2016 reading all ideals from disk
  41. Fri Apr 1 10:45:37 2016 memory use: 2249.7 MB
  42. Fri Apr 1 10:45:48 2016 keeping 49993072 ideals with weight <= 200, target excess is 311954
  43. Fri Apr 1 10:46:00 2016 commencing in-memory singleton removal
  44. Fri Apr 1 10:46:09 2016 begin with 59735702 relations and 49993072 unique ideals
  45. Fri Apr 1 10:47:55 2016 reduce to 59705998 relations and 49963358 ideals in 11 passes
  46. Fri Apr 1 10:47:55 2016 max relations containing the same ideal: 200
  47. Fri Apr 1 10:48:46 2016 removing 5690542 relations and 4690542 ideals in 1000000 cliques
  48. Fri Apr 1 10:48:49 2016 commencing in-memory singleton removal
  49. Fri Apr 1 10:48:58 2016 begin with 54015456 relations and 49963358 unique ideals
  50. Fri Apr 1 10:50:34 2016 reduce to 53603825 relations and 44852610 ideals in 9 passes
  51. Fri Apr 1 10:50:34 2016 max relations containing the same ideal: 194
  52. Fri Apr 1 10:51:16 2016 removing 4354222 relations and 3354222 ideals in 1000000 cliques
  53. Fri Apr 1 10:51:18 2016 commencing in-memory singleton removal
  54. Fri Apr 1 10:51:25 2016 begin with 49249603 relations and 44852610 unique ideals
  55. Fri Apr 1 10:52:24 2016 reduce to 48973982 relations and 41217546 ideals in 8 passes
  56. Fri Apr 1 10:52:24 2016 max relations containing the same ideal: 186
  57. Fri Apr 1 10:53:03 2016 removing 3952116 relations and 2952116 ideals in 1000000 cliques
  58. Fri Apr 1 10:53:05 2016 commencing in-memory singleton removal
  59. Fri Apr 1 10:53:12 2016 begin with 45021866 relations and 41217546 unique ideals
  60. Fri Apr 1 10:53:58 2016 reduce to 44775895 relations and 38014769 ideals in 7 passes
  61. Fri Apr 1 10:53:58 2016 max relations containing the same ideal: 173
  62. Fri Apr 1 10:54:33 2016 removing 3749892 relations and 2749892 ideals in 1000000 cliques
  63. Fri Apr 1 10:54:35 2016 commencing in-memory singleton removal
  64. Fri Apr 1 10:54:41 2016 begin with 41026003 relations and 38014769 unique ideals
  65. Fri Apr 1 10:55:35 2016 reduce to 40788998 relations and 35023018 ideals in 7 passes
  66. Fri Apr 1 10:55:35 2016 max relations containing the same ideal: 166
  67. Fri Apr 1 10:56:08 2016 removing 3622561 relations and 2622561 ideals in 1000000 cliques
  68. Fri Apr 1 10:56:11 2016 commencing in-memory singleton removal
  69. Fri Apr 1 10:56:16 2016 begin with 37166437 relations and 35023018 unique ideals
  70. Fri Apr 1 10:56:53 2016 reduce to 36930323 relations and 32159150 ideals in 7 passes
  71. Fri Apr 1 10:56:53 2016 max relations containing the same ideal: 155
  72. Fri Apr 1 10:57:21 2016 removing 3544770 relations and 2544770 ideals in 1000000 cliques
  73. Fri Apr 1 10:57:22 2016 commencing in-memory singleton removal
  74. Fri Apr 1 10:57:27 2016 begin with 33385553 relations and 32159150 unique ideals
  75. Fri Apr 1 10:58:01 2016 reduce to 33142232 relations and 29365529 ideals in 8 passes
  76. Fri Apr 1 10:58:01 2016 max relations containing the same ideal: 147
  77. Fri Apr 1 10:58:26 2016 removing 3489334 relations and 2489334 ideals in 1000000 cliques
  78. Fri Apr 1 10:58:27 2016 commencing in-memory singleton removal
  79. Fri Apr 1 10:58:31 2016 begin with 29652898 relations and 29365529 unique ideals
  80. Fri Apr 1 10:59:01 2016 reduce to 29395763 relations and 26612535 ideals in 8 passes
  81. Fri Apr 1 10:59:01 2016 max relations containing the same ideal: 136
  82. Fri Apr 1 10:59:23 2016 removing 3453750 relations and 2453750 ideals in 1000000 cliques
  83. Fri Apr 1 10:59:24 2016 commencing in-memory singleton removal
  84. Fri Apr 1 10:59:28 2016 begin with 25942013 relations and 26612535 unique ideals
  85. Fri Apr 1 10:59:49 2016 reduce to 25663997 relations and 23872847 ideals in 7 passes
  86. Fri Apr 1 10:59:49 2016 max relations containing the same ideal: 122
  87. Fri Apr 1 11:00:09 2016 removing 3435476 relations and 2435476 ideals in 1000000 cliques
  88. Fri Apr 1 11:00:10 2016 commencing in-memory singleton removal
  89. Fri Apr 1 11:00:13 2016 begin with 22228521 relations and 23872847 unique ideals
  90. Fri Apr 1 11:00:33 2016 reduce to 21915094 relations and 21113736 ideals in 8 passes
  91. Fri Apr 1 11:00:33 2016 max relations containing the same ideal: 110
  92. Fri Apr 1 11:00:49 2016 removing 1780683 relations and 1341192 ideals in 439491 cliques
  93. Fri Apr 1 11:00:50 2016 commencing in-memory singleton removal
  94. Fri Apr 1 11:00:53 2016 begin with 20134411 relations and 21113736 unique ideals
  95. Fri Apr 1 11:01:08 2016 reduce to 20040984 relations and 19677535 ideals in 7 passes
  96. Fri Apr 1 11:01:08 2016 max relations containing the same ideal: 100
  97. Fri Apr 1 11:01:27 2016 relations with 0 large ideals: 6301
  98. Fri Apr 1 11:01:27 2016 relations with 1 large ideals: 1998
  99. Fri Apr 1 11:01:27 2016 relations with 2 large ideals: 32836
  100. Fri Apr 1 11:01:27 2016 relations with 3 large ideals: 269255
  101. Fri Apr 1 11:01:27 2016 relations with 4 large ideals: 1185964
  102. Fri Apr 1 11:01:27 2016 relations with 5 large ideals: 3110629
  103. Fri Apr 1 11:01:27 2016 relations with 6 large ideals: 5255797
  104. Fri Apr 1 11:01:27 2016 relations with 7+ large ideals: 10178204
  105. Fri Apr 1 11:01:27 2016 commencing 2-way merge
  106. Fri Apr 1 11:01:46 2016 reduce to 13170787 relation sets and 12807338 unique ideals
  107. Fri Apr 1 11:01:46 2016 commencing full merge
  108. Fri Apr 1 11:10:52 2016 memory use: 1724.1 MB
  109. Fri Apr 1 11:10:54 2016 found 5993700 cycles, need 5977538
  110. Fri Apr 1 11:10:56 2016 weight of 5977538 cycles is about 718101097 (120.13/cycle)
  111. Fri Apr 1 11:10:56 2016 distribution of cycle lengths:
  112. Fri Apr 1 11:10:56 2016 1 relations: 215796
  113. Fri Apr 1 11:10:56 2016 2 relations: 359596
  114. Fri Apr 1 11:10:56 2016 3 relations: 428097
  115. Fri Apr 1 11:10:56 2016 4 relations: 445056
  116. Fri Apr 1 11:10:56 2016 5 relations: 453314
  117. Fri Apr 1 11:10:56 2016 6 relations: 449349
  118. Fri Apr 1 11:10:56 2016 7 relations: 439853
  119. Fri Apr 1 11:10:56 2016 8 relations: 418674
  120. Fri Apr 1 11:10:56 2016 9 relations: 393211
  121. Fri Apr 1 11:10:56 2016 10+ relations: 2374592
  122. Fri Apr 1 11:10:56 2016 heaviest cycle: 28 relations
  123. Fri Apr 1 11:10:58 2016 commencing cycle optimization
  124. Fri Apr 1 11:11:14 2016 start with 52837860 relations
  125. Fri Apr 1 11:14:17 2016 pruned 2498598 relations
  126. Fri Apr 1 11:14:17 2016 memory use: 1380.2 MB
  127. Fri Apr 1 11:14:17 2016 distribution of cycle lengths:
  128. Fri Apr 1 11:14:17 2016 1 relations: 215796
  129. Fri Apr 1 11:14:17 2016 2 relations: 369248
  130. Fri Apr 1 11:14:17 2016 3 relations: 447186
  131. Fri Apr 1 11:14:17 2016 4 relations: 464495
  132. Fri Apr 1 11:14:17 2016 5 relations: 477175
  133. Fri Apr 1 11:14:17 2016 6 relations: 471312
  134. Fri Apr 1 11:14:17 2016 7 relations: 463126
  135. Fri Apr 1 11:14:17 2016 8 relations: 439256
  136. Fri Apr 1 11:14:17 2016 9 relations: 412095
  137. Fri Apr 1 11:14:17 2016 10+ relations: 2217849
  138. Fri Apr 1 11:14:17 2016 heaviest cycle: 28 relations
  139. Fri Apr 1 11:14:34 2016 RelProcTime: 4845
  140. Fri Apr 1 11:14:34 2016
  141. Fri Apr 1 11:14:34 2016 commencing linear algebra
  142. Fri Apr 1 11:14:36 2016 read 5977538 cycles
  143. Fri Apr 1 11:14:56 2016 cycles contain 19840757 unique relations
  144. Fri Apr 1 11:17:44 2016 read 19840757 relations
  145. Fri Apr 1 11:18:38 2016 using 20 quadratic characters above 4294917295
  146. Fri Apr 1 11:20:43 2016 building initial matrix
  147. Fri Apr 1 11:27:24 2016 memory use: 2609.2 MB
  148. Fri Apr 1 11:27:28 2016 read 5977538 cycles
  149. Fri Apr 1 11:27:29 2016 matrix is 5977361 x 5977538 (2797.3 MB) with weight 808499271 (135.26/col)
  150. Fri Apr 1 11:27:29 2016 sparse part has weight 667531701 (111.67/col)
  151. Fri Apr 1 11:29:29 2016 filtering completed in 2 passes
  152. Fri Apr 1 11:29:31 2016 matrix is 5977321 x 5977498 (2797.3 MB) with weight 808497754 (135.26/col)
  153. Fri Apr 1 11:29:31 2016 sparse part has weight 667531170 (111.67/col)
  154. Fri Apr 1 11:29:54 2016 matrix starts at (0, 0)
  155. Fri Apr 1 11:29:55 2016 matrix is 5977321 x 5977498 (2797.3 MB) with weight 808497754 (135.26/col)
  156. Fri Apr 1 11:29:55 2016 sparse part has weight 667531170 (111.67/col)
  157. Fri Apr 1 11:29:55 2016 saving the first 48 matrix rows for later
  158. Fri Apr 1 11:29:56 2016 matrix includes 64 packed rows
  159. Fri Apr 1 11:29:57 2016 matrix is 5977273 x 5977498 (2680.5 MB) with weight 693252899 (115.98/col)
  160. Fri Apr 1 11:29:57 2016 sparse part has weight 642894242 (107.55/col)
  161. Fri Apr 1 11:29:58 2016 using block size 8192 and superblock size 294912 for processor cache size 3072 kB
  162. Fri Apr 1 11:30:33 2016 commencing Lanczos iteration
  163. Fri Apr 1 11:30:33 2016 memory use: 2245.3 MB
  164. Fri Apr 1 11:33:06 2016 linear algebra at 0.0%, ETA 158h33m
  165. Fri Apr 1 11:33:55 2016 checkpointing every 40000 dimensions
  166. Fri Apr 8 07:51:50 2016 lanczos halted after 94516 iterations (dim = 5977270)
  167. Fri Apr 8 07:52:06 2016 recovered 37 nontrivial dependencies
  168. Fri Apr 8 07:52:06 2016 BLanczosTime: 592652
  169. Fri Apr 8 07:52:06 2016
  170. Fri Apr 8 07:52:06 2016 commencing square root phase
  171. Fri Apr 8 07:52:06 2016 handling dependencies 1 to 64
  172. Fri Apr 8 07:52:06 2016 reading relations for dependency 1
  173. Fri Apr 8 07:52:07 2016 read 2987936 cycles
  174. Fri Apr 8 07:52:17 2016 cycles contain 9920800 unique relations
  175. Fri Apr 8 07:53:52 2016 read 9920800 relations
  176. Fri Apr 8 07:55:13 2016 multiplying 9920800 relations
  177. Fri Apr 8 08:06:42 2016 multiply complete, coefficients have about 334.71 million bits
  178. Fri Apr 8 08:06:43 2016 initial square root is modulo 1013671
  179. Fri Apr 8 08:19:27 2016 GCD is 1, no factor found
  180. Fri Apr 8 08:19:27 2016 reading relations for dependency 2
  181. Fri Apr 8 08:19:28 2016 read 2986787 cycles
  182. Fri Apr 8 08:19:38 2016 cycles contain 9917924 unique relations
  183. Fri Apr 8 08:21:11 2016 read 9917924 relations
  184. Fri Apr 8 08:22:21 2016 multiplying 9917924 relations
  185. Fri Apr 8 08:34:25 2016 multiply complete, coefficients have about 334.61 million bits
  186. Fri Apr 8 08:34:26 2016 initial square root is modulo 1009531
  187. Fri Apr 8 08:48:13 2016 sqrtTime: 3367
  188. Fri Apr 8 08:48:13 2016 p63 factor: 444825782388636199084834457770306183960916829988172895974146117
  189. Fri Apr 8 08:48:13 2016 p117 factor: 506494758042609067071050478734955452768535888560148697072508411038667203382873803050841604249833961312626421460425329
  190. Fri Apr 8 08:48:13 2016 elapsed time 166:54:25
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