CarlosPinho

GC_11_227

Jun 3rd, 2016
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  1. Wed Feb 26 23:05:13 2014 Msieve v. 1.52 (SVN unknown)
  2. Wed Feb 26 23:05:13 2014 random seeds: 70a5c593 7d29a828
  3. Wed Feb 26 23:05:13 2014 factoring 10548839552649954326118111484677076724058855951638639139688477739866218360655001301304640244898698734625488383562129343803916728516007368840298091061943158150251772919699967483684627991084752180211594118661 (206 digits)
  4. Wed Feb 26 23:05:14 2014 searching for 15-digit factors
  5. Wed Feb 26 23:05:16 2014 commencing number field sieve (206-digit input)
  6. Wed Feb 26 23:05:16 2014 R0: -3740434344477351388916475705363381856681
  7. Wed Feb 26 23:05:16 2014 R1: 1
  8. Wed Feb 26 23:05:16 2014 A0: 11
  9. Wed Feb 26 23:05:16 2014 A1: 0
  10. Wed Feb 26 23:05:16 2014 A2: 0
  11. Wed Feb 26 23:05:16 2014 A3: 0
  12. Wed Feb 26 23:05:16 2014 A4: 0
  13. Wed Feb 26 23:05:16 2014 A5: 0
  14. Wed Feb 26 23:05:16 2014 A6: 227
  15. Wed Feb 26 23:05:16 2014 skew 1.00, size 7.203e-12, alpha -0.660, combined = 5.082e-13 rroots = 0
  16. Wed Feb 26 23:05:16 2014
  17. Wed Feb 26 23:05:16 2014 commencing relation filtering
  18. Wed Feb 26 23:05:16 2014 setting target matrix density to 122.0
  19. Wed Feb 26 23:05:16 2014 estimated available RAM is 16030.3 MB
  20. Wed Feb 26 23:05:16 2014 commencing duplicate removal, pass 1
  21. Wed Feb 26 23:05:44 2014 error -15 reading relation 4231859
  22. Wed Feb 26 23:05:50 2014 error -15 reading relation 5330355
  23. Wed Feb 26 23:05:50 2014 error -9 reading relation 5378026
  24. Wed Feb 26 23:05:52 2014 error -15 reading relation 5511363
  25. Wed Feb 26 23:05:58 2014 error -11 reading relation 6480315
  26. Wed Feb 26 23:05:58 2014 error -1 reading relation 6480316
  27. [ . . . 330,000 error (mostly -1) records removed . . ]
  28. Thu Feb 27 00:17:21 2014 error -1 reading relation 66481514
  29. Thu Feb 27 00:18:00 2014 error -9 reading relation 71896137
  30. Thu Feb 27 00:18:00 2014 error -9 reading relation 71926244
  31. Thu Feb 27 00:18:01 2014 error -9 reading relation 72151480
  32. Thu Feb 27 00:18:03 2014 error -9 reading relation 72487596
  33. Thu Feb 27 00:19:53 2014 error -9 reading relation 86734593
  34. Thu Feb 27 00:20:19 2014 error -15 reading relation 90205992
  35. Thu Feb 27 00:21:01 2014 error -9 reading relation 96160056
  36. Thu Feb 27 00:21:01 2014 error -15 reading relation 96213804
  37. Thu Feb 27 00:21:39 2014 error -15 reading relation 101341940
  38. Thu Feb 27 00:21:48 2014 error -9 reading relation 102684128
  39. Thu Feb 27 00:21:48 2014 error -9 reading relation 102689534
  40. Thu Feb 27 00:21:48 2014 error -15 reading relation 102693766
  41. Thu Feb 27 00:21:52 2014 error -9 reading relation 103375925
  42. Thu Feb 27 00:21:52 2014 error -15 reading relation 103377315
  43. Thu Feb 27 00:22:22 2014 error -15 reading relation 108091365
  44. Thu Feb 27 00:22:32 2014 error -9 reading relation 109568250
  45. Thu Feb 27 00:23:07 2014 error -1 reading relation 114765240
  46. Thu Feb 27 00:23:08 2014 error -1 reading relation 114982430
  47. Thu Feb 27 00:23:08 2014 error -9 reading relation 114996753
  48. Thu Feb 27 00:23:17 2014 error -9 reading relation 116508773
  49. Thu Feb 27 00:23:17 2014 error -15 reading relation 116513943
  50. Thu Feb 27 00:23:45 2014 skipped 1266 relations with b > 2^32
  51. Thu Feb 27 00:23:45 2014 found 24554210 hash collisions in 119529018 relations
  52. Thu Feb 27 00:23:56 2014 commencing duplicate removal, pass 2
  53. Thu Feb 27 00:26:24 2014 found 24526496 duplicates and 95002522 unique relations
  54. Thu Feb 27 00:26:24 2014 memory use: 660.8 MB
  55. Thu Feb 27 00:26:24 2014 reading ideals above 93257728
  56. Thu Feb 27 00:26:24 2014 commencing singleton removal, initial pass
  57. Thu Feb 27 00:40:20 2014 memory use: 1506.0 MB
  58. Thu Feb 27 00:40:20 2014 reading all ideals from disk
  59. Thu Feb 27 00:40:33 2014 memory use: 1687.5 MB
  60. Thu Feb 27 00:40:39 2014 commencing in-memory singleton removal
  61. Thu Feb 27 00:40:43 2014 begin with 95002522 relations and 80495713 unique ideals
  62. Thu Feb 27 00:41:24 2014 reduce to 59576039 relations and 41289229 ideals in 16 passes
  63. Thu Feb 27 00:41:24 2014 max relations containing the same ideal: 34
  64. Thu Feb 27 00:41:26 2014 reading ideals above 720000
  65. Thu Feb 27 00:41:26 2014 commencing singleton removal, initial pass
  66. Thu Feb 27 00:52:45 2014 memory use: 1378.0 MB
  67. Thu Feb 27 00:52:45 2014 reading all ideals from disk
  68. Thu Feb 27 00:53:02 2014 memory use: 2285.9 MB
  69. Thu Feb 27 00:53:07 2014 keeping 51764532 ideals with weight <= 200, target excess is 308737
  70. Thu Feb 27 00:53:12 2014 commencing in-memory singleton removal
  71. Thu Feb 27 00:53:16 2014 begin with 59576040 relations and 51764532 unique ideals
  72. Thu Feb 27 00:53:44 2014 reduce to 59570990 relations and 51759477 ideals in 8 passes
  73. Thu Feb 27 00:53:44 2014 max relations containing the same ideal: 200
  74. Thu Feb 27 00:54:04 2014 removing 5765465 relations and 4765465 ideals in 1000000 cliques
  75. Thu Feb 27 00:54:05 2014 commencing in-memory singleton removal
  76. Thu Feb 27 00:54:08 2014 begin with 53805525 relations and 51759477 unique ideals
  77. Thu Feb 27 00:54:34 2014 reduce to 53372877 relations and 46552187 ideals in 8 passes
  78. Thu Feb 27 00:54:34 2014 max relations containing the same ideal: 194
  79. Thu Feb 27 00:54:51 2014 removing 4441116 relations and 3441116 ideals in 1000000 cliques
  80. Thu Feb 27 00:54:52 2014 commencing in-memory singleton removal
  81. Thu Feb 27 00:54:55 2014 begin with 48931761 relations and 46552187 unique ideals
  82. Thu Feb 27 00:55:15 2014 reduce to 48648574 relations and 42822566 ideals in 7 passes
  83. Thu Feb 27 00:55:15 2014 max relations containing the same ideal: 186
  84. Thu Feb 27 00:55:30 2014 removing 4031953 relations and 3031953 ideals in 1000000 cliques
  85. Thu Feb 27 00:55:31 2014 commencing in-memory singleton removal
  86. Thu Feb 27 00:55:34 2014 begin with 44616621 relations and 42822566 unique ideals
  87. Thu Feb 27 00:55:52 2014 reduce to 44365244 relations and 39534459 ideals in 7 passes
  88. Thu Feb 27 00:55:52 2014 max relations containing the same ideal: 175
  89. Thu Feb 27 00:56:06 2014 removing 3813896 relations and 2813896 ideals in 1000000 cliques
  90. Thu Feb 27 00:56:07 2014 commencing in-memory singleton removal
  91. Thu Feb 27 00:56:10 2014 begin with 40551348 relations and 39534459 unique ideals
  92. Thu Feb 27 00:56:26 2014 reduce to 40312970 relations and 36477331 ideals in 7 passes
  93. Thu Feb 27 00:56:26 2014 max relations containing the same ideal: 164
  94. Thu Feb 27 00:56:39 2014 removing 3672946 relations and 2672946 ideals in 1000000 cliques
  95. Thu Feb 27 00:56:40 2014 commencing in-memory singleton removal
  96. Thu Feb 27 00:56:42 2014 begin with 36640024 relations and 36477331 unique ideals
  97. Thu Feb 27 00:56:57 2014 reduce to 36401477 relations and 33560678 ideals in 7 passes
  98. Thu Feb 27 00:56:57 2014 max relations containing the same ideal: 152
  99. Thu Feb 27 00:57:09 2014 removing 3580424 relations and 2580424 ideals in 1000000 cliques
  100. Thu Feb 27 00:57:10 2014 commencing in-memory singleton removal
  101. Thu Feb 27 00:57:12 2014 begin with 32821053 relations and 33560678 unique ideals
  102. Thu Feb 27 00:57:25 2014 reduce to 32573597 relations and 30726970 ideals in 7 passes
  103. Thu Feb 27 00:57:25 2014 max relations containing the same ideal: 142
  104. Thu Feb 27 00:57:35 2014 removing 3518758 relations and 2518758 ideals in 1000000 cliques
  105. Thu Feb 27 00:57:36 2014 commencing in-memory singleton removal
  106. Thu Feb 27 00:57:38 2014 begin with 29054839 relations and 30726970 unique ideals
  107. Thu Feb 27 00:57:49 2014 reduce to 28788045 relations and 27934361 ideals in 7 passes
  108. Thu Feb 27 00:57:49 2014 max relations containing the same ideal: 128
  109. Thu Feb 27 00:57:58 2014 removing 1975867 relations and 1480318 ideals in 495549 cliques
  110. Thu Feb 27 00:57:59 2014 commencing in-memory singleton removal
  111. Thu Feb 27 00:58:01 2014 begin with 26812178 relations and 27934361 unique ideals
  112. Thu Feb 27 00:58:10 2014 reduce to 26718947 relations and 26359426 ideals in 6 passes
  113. Thu Feb 27 00:58:10 2014 max relations containing the same ideal: 125
  114. Thu Feb 27 00:58:22 2014 relations with 0 large ideals: 11740
  115. Thu Feb 27 00:58:22 2014 relations with 1 large ideals: 2202
  116. Thu Feb 27 00:58:22 2014 relations with 2 large ideals: 26502
  117. Thu Feb 27 00:58:22 2014 relations with 3 large ideals: 231909
  118. Thu Feb 27 00:58:22 2014 relations with 4 large ideals: 1117840
  119. Thu Feb 27 00:58:22 2014 relations with 5 large ideals: 3272820
  120. Thu Feb 27 00:58:22 2014 relations with 6 large ideals: 6032940
  121. Thu Feb 27 00:58:22 2014 relations with 7+ large ideals: 16022994
  122. Thu Feb 27 00:58:22 2014 commencing 2-way merge
  123. Thu Feb 27 00:58:33 2014 reduce to 18156063 relation sets and 17796542 unique ideals
  124. Thu Feb 27 00:58:33 2014 commencing full merge
  125. Thu Feb 27 01:03:57 2014 memory use: 2376.7 MB
  126. Thu Feb 27 01:03:58 2014 found 8258295 cycles, need 8248742
  127. Thu Feb 27 01:04:00 2014 weight of 8248742 cycles is about 940737229 (114.05/cycle)
  128. Thu Feb 27 01:04:00 2014 distribution of cycle lengths:
  129. Thu Feb 27 01:04:00 2014 1 relations: 335727
  130. Thu Feb 27 01:04:00 2014 2 relations: 523390
  131. Thu Feb 27 01:04:00 2014 3 relations: 626896
  132. Thu Feb 27 01:04:00 2014 4 relations: 642143
  133. Thu Feb 27 01:04:00 2014 5 relations: 653523
  134. Thu Feb 27 01:04:00 2014 6 relations: 632642
  135. Thu Feb 27 01:04:00 2014 7 relations: 610812
  136. Thu Feb 27 01:04:00 2014 8 relations: 574321
  137. Thu Feb 27 01:04:00 2014 9 relations: 533648
  138. Thu Feb 27 01:04:00 2014 10+ relations: 3115640
  139. Thu Feb 27 01:04:00 2014 heaviest cycle: 28 relations
  140. Thu Feb 27 01:04:02 2014 commencing cycle optimization
  141. Thu Feb 27 01:04:14 2014 start with 70934313 relations
  142. Thu Feb 27 01:06:18 2014 pruned 3294285 relations
  143. Thu Feb 27 01:06:18 2014 memory use: 1850.1 MB
  144. Thu Feb 27 01:06:18 2014 distribution of cycle lengths:
  145. Thu Feb 27 01:06:18 2014 1 relations: 335727
  146. Thu Feb 27 01:06:18 2014 2 relations: 537040
  147. Thu Feb 27 01:06:18 2014 3 relations: 655333
  148. Thu Feb 27 01:06:18 2014 4 relations: 670822
  149. Thu Feb 27 01:06:18 2014 5 relations: 687148
  150. Thu Feb 27 01:06:18 2014 6 relations: 662700
  151. Thu Feb 27 01:06:18 2014 7 relations: 640540
  152. Thu Feb 27 01:06:18 2014 8 relations: 599731
  153. Thu Feb 27 01:06:18 2014 9 relations: 555929
  154. Thu Feb 27 01:06:18 2014 10+ relations: 2903772
  155. Thu Feb 27 01:06:18 2014 heaviest cycle: 28 relations
  156. Thu Feb 27 01:06:29 2014 RelProcTime: 3405
  157. Thu Feb 27 01:06:29 2014
  158. Thu Feb 27 01:06:29 2014 commencing linear algebra
  159. Thu Feb 27 01:06:32 2014 read 8248742 cycles
  160. Thu Feb 27 01:06:46 2014 cycles contain 26523707 unique relations
  161. Thu Feb 27 01:09:40 2014 read 26523707 relations
  162. Thu Feb 27 01:10:10 2014 using 20 quadratic characters above 1073740694
  163. Thu Feb 27 01:11:39 2014 building initial matrix
  164. Thu Feb 27 01:17:48 2014 memory use: 3545.9 MB
  165. Thu Feb 27 01:17:51 2014 read 8248742 cycles
  166. Thu Feb 27 01:17:52 2014 matrix is 8248565 x 8248742 (3694.6 MB) with weight 1098450363 (133.17/col)
  167. Thu Feb 27 01:17:52 2014 sparse part has weight 877793080 (106.42/col)
  168. Thu Feb 27 01:19:03 2014 filtering completed in 2 passes
  169. Thu Feb 27 01:19:05 2014 matrix is 8248513 x 8248690 (3694.6 MB) with weight 1098448377 (133.17/col)
  170. Thu Feb 27 01:19:05 2014 sparse part has weight 877792482 (106.42/col)
  171. Thu Feb 27 01:20:24 2014 matrix starts at (0, 0)
  172. Thu Feb 27 01:20:25 2014 matrix is 8248513 x 8248690 (3694.6 MB) with weight 1098448377 (133.17/col)
  173. Thu Feb 27 01:20:25 2014 sparse part has weight 877792482 (106.42/col)
  174. Thu Feb 27 01:20:25 2014 saving the first 48 matrix rows for later
  175. Thu Feb 27 01:20:26 2014 matrix includes 64 packed rows
  176. Thu Feb 27 01:20:27 2014 matrix is 8248465 x 8248690 (3568.5 MB) with weight 930793338 (112.84/col)
  177. Thu Feb 27 01:20:27 2014 sparse part has weight 852978959 (103.41/col)
  178. Thu Feb 27 01:20:27 2014 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  179. Thu Feb 27 01:20:55 2014 commencing Lanczos iteration (4 threads)
  180. Thu Feb 27 01:20:55 2014 memory use: 3013.2 MB
  181. Thu Feb 27 01:21:25 2014 linear algebra at 0.0%, ETA 44h 1m
  182. Thu Feb 27 01:21:35 2014 checkpointing every 190000 dimensions
  183. Fri Feb 28 21:49:59 2014 lanczos halted after 130438 iterations (dim = 8248460)
  184. Fri Feb 28 21:50:05 2014 recovered 36 nontrivial dependencies
  185. Fri Feb 28 21:50:06 2014 BLanczosTime: 161017
  186. Fri Feb 28 21:50:06 2014
  187. Fri Feb 28 21:50:06 2014 commencing square root phase
  188. Fri Feb 28 21:50:06 2014 handling dependencies 1 to 64
  189. Fri Feb 28 21:50:06 2014 reading relations for dependency 1
  190. Fri Feb 28 21:50:06 2014 read 4126883 cycles
  191. Fri Feb 28 21:50:12 2014 cycles contain 13268950 unique relations
  192. Fri Feb 28 21:52:42 2014 read 13268950 relations
  193. Fri Feb 28 21:53:25 2014 multiplying 13268950 relations
  194. Fri Feb 28 22:02:43 2014 multiply complete, coefficients have about 428.24 million bits
  195. Fri Feb 28 22:02:44 2014 initial square root is modulo 48314281
  196. Fri Feb 28 22:12:54 2014 sqrtTime: 1368
  197. Fri Feb 28 22:12:54 2014 prp71 factor: 24013573097415000462985655593434665537916678988110599464127913117714211
  198. Fri Feb 28 22:12:54 2014 prp135 factor: 439286544732716591887311221013349373538132387268354397485024871768431029824624530196541345827372316603652416192358915641775905314464951
  199. Fri Feb 28 22:12:54 2014 elapsed time 46:03:13
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