mersenneforum

31333_223

Mar 23rd, 2016
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  1. Mon Mar 21 16:41:26 2016
  2. Mon Mar 21 16:41:26 2016
  3. Mon Mar 21 16:41:26 2016 Msieve v. 1.52 (SVN 946)
  4. Mon Mar 21 16:41:26 2016 random seeds: fe3e349c 40aa3afd
  5. Mon Mar 21 16:41:26 2016 factoring 313333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (225 digits)
  6. Mon Mar 21 16:41:28 2016 no P-1/P+1/ECM available, skipping
  7. Mon Mar 21 16:41:28 2016 commencing number field sieve (225-digit input)
  8. Mon Mar 21 16:41:28 2016 R0: -10000000000000000000000000000000000000
  9. Mon Mar 21 16:41:28 2016 R1: 1
  10. Mon Mar 21 16:41:28 2016 A0: -1
  11. Mon Mar 21 16:41:28 2016 A1: 0
  12. Mon Mar 21 16:41:28 2016 A2: 0
  13. Mon Mar 21 16:41:28 2016 A3: 0
  14. Mon Mar 21 16:41:28 2016 A4: 0
  15. Mon Mar 21 16:41:28 2016 A5: 0
  16. Mon Mar 21 16:41:28 2016 A6: 940
  17. Mon Mar 21 16:41:28 2016 skew 1.00, size 2.724e-011, alpha 1.133, combined = 1.277e-012 rroots = 2
  18. Mon Mar 21 16:41:28 2016
  19. Mon Mar 21 16:41:28 2016 commencing relation filtering
  20. Mon Mar 21 16:41:28 2016 setting target matrix density to 120.0
  21. Mon Mar 21 16:41:28 2016 estimated available RAM is 16331.2 MB
  22. Mon Mar 21 16:41:28 2016 commencing duplicate removal, pass 1
  23. <errors reading relations>
  24. Mon Mar 21 16:58:04 2016 skipped 49 relations with b > 2^32
  25. Mon Mar 21 16:58:04 2016 found 17811903 hash collisions in 109558044 relations
  26. Mon Mar 21 16:58:23 2016 commencing duplicate removal, pass 2
  27. Mon Mar 21 16:59:05 2016 found 16246054 duplicates and 93311990 unique relations
  28. Mon Mar 21 16:59:05 2016 memory use: 660.8 MB
  29. Mon Mar 21 16:59:05 2016 reading ideals above 75956224
  30. Mon Mar 21 16:59:05 2016 commencing singleton removal, initial pass
  31. Mon Mar 21 17:14:26 2016 memory use: 1506.0 MB
  32. Mon Mar 21 17:14:26 2016 reading all ideals from disk
  33. Mon Mar 21 17:14:27 2016 memory use: 1580.4 MB
  34. Mon Mar 21 17:14:30 2016 commencing in-memory singleton removal
  35. Mon Mar 21 17:14:33 2016 begin with 93311990 relations and 80051706 unique ideals
  36. Mon Mar 21 17:14:59 2016 reduce to 56311866 relations and 38829602 ideals in 13 passes
  37. Mon Mar 21 17:14:59 2016 max relations containing the same ideal: 41
  38. Mon Mar 21 17:15:02 2016 reading ideals above 720000
  39. Mon Mar 21 17:15:03 2016 commencing singleton removal, initial pass
  40. Mon Mar 21 17:25:36 2016 memory use: 1378.0 MB
  41. Mon Mar 21 17:25:36 2016 reading all ideals from disk
  42. Mon Mar 21 17:25:38 2016 memory use: 2105.6 MB
  43. Mon Mar 21 17:25:43 2016 keeping 47431905 ideals with weight <= 200, target excess is 288783
  44. Mon Mar 21 17:25:48 2016 commencing in-memory singleton removal
  45. Mon Mar 21 17:25:52 2016 begin with 56311867 relations and 47431905 unique ideals
  46. Mon Mar 21 17:26:17 2016 reduce to 56306123 relations and 47426156 ideals in 6 passes
  47. Mon Mar 21 17:26:17 2016 max relations containing the same ideal: 200
  48. Mon Mar 21 17:26:38 2016 removing 5713973 relations and 4713973 ideals in 1000000 cliques
  49. Mon Mar 21 17:26:40 2016 commencing in-memory singleton removal
  50. Mon Mar 21 17:26:43 2016 begin with 50592150 relations and 47426156 unique ideals
  51. Mon Mar 21 17:27:16 2016 reduce to 50116005 relations and 42225266 ideals in 9 passes
  52. Mon Mar 21 17:27:16 2016 max relations containing the same ideal: 194
  53. Mon Mar 21 17:27:36 2016 removing 4431382 relations and 3431382 ideals in 1000000 cliques
  54. Mon Mar 21 17:27:37 2016 commencing in-memory singleton removal
  55. Mon Mar 21 17:27:40 2016 begin with 45684623 relations and 42225266 unique ideals
  56. Mon Mar 21 17:28:06 2016 reduce to 45372967 relations and 38476010 ideals in 8 passes
  57. Mon Mar 21 17:28:06 2016 max relations containing the same ideal: 182
  58. Mon Mar 21 17:28:24 2016 removing 4028200 relations and 3028200 ideals in 1000000 cliques
  59. Mon Mar 21 17:28:25 2016 commencing in-memory singleton removal
  60. Mon Mar 21 17:28:28 2016 begin with 41344767 relations and 38476010 unique ideals
  61. Mon Mar 21 17:28:51 2016 reduce to 41068231 relations and 35165507 ideals in 8 passes
  62. Mon Mar 21 17:28:51 2016 max relations containing the same ideal: 174
  63. Mon Mar 21 17:29:07 2016 removing 3814264 relations and 2814264 ideals in 1000000 cliques
  64. Mon Mar 21 17:29:08 2016 commencing in-memory singleton removal
  65. Mon Mar 21 17:29:10 2016 begin with 37253967 relations and 35165507 unique ideals
  66. Mon Mar 21 17:29:31 2016 reduce to 36987684 relations and 32079179 ideals in 8 passes
  67. Mon Mar 21 17:29:31 2016 max relations containing the same ideal: 163
  68. Mon Mar 21 17:29:45 2016 removing 3680561 relations and 2680561 ideals in 1000000 cliques
  69. Mon Mar 21 17:29:46 2016 commencing in-memory singleton removal
  70. Mon Mar 21 17:29:49 2016 begin with 33307123 relations and 32079179 unique ideals
  71. Mon Mar 21 17:30:05 2016 reduce to 33038579 relations and 29123758 ideals in 7 passes
  72. Mon Mar 21 17:30:05 2016 max relations containing the same ideal: 155
  73. Mon Mar 21 17:30:18 2016 removing 3596587 relations and 2596587 ideals in 1000000 cliques
  74. Mon Mar 21 17:30:18 2016 commencing in-memory singleton removal
  75. Mon Mar 21 17:30:20 2016 begin with 29441992 relations and 29123758 unique ideals
  76. Mon Mar 21 17:30:34 2016 reduce to 29165534 relations and 26243459 ideals in 7 passes
  77. Mon Mar 21 17:30:34 2016 max relations containing the same ideal: 141
  78. Mon Mar 21 17:30:46 2016 removing 3531734 relations and 2531734 ideals in 1000000 cliques
  79. Mon Mar 21 17:30:47 2016 commencing in-memory singleton removal
  80. Mon Mar 21 17:30:48 2016 begin with 25633800 relations and 26243459 unique ideals
  81. Mon Mar 21 17:31:00 2016 reduce to 25339012 relations and 23408401 ideals in 7 passes
  82. Mon Mar 21 17:31:00 2016 max relations containing the same ideal: 123
  83. Mon Mar 21 17:31:10 2016 removing 3484156 relations and 2484156 ideals in 1000000 cliques
  84. Mon Mar 21 17:31:11 2016 commencing in-memory singleton removal
  85. Mon Mar 21 17:31:12 2016 begin with 21854856 relations and 23408401 unique ideals
  86. Mon Mar 21 17:31:24 2016 reduce to 21533381 relations and 20592049 ideals in 8 passes
  87. Mon Mar 21 17:31:24 2016 max relations containing the same ideal: 111
  88. Mon Mar 21 17:31:32 2016 removing 2309114 relations and 1702771 ideals in 606343 cliques
  89. Mon Mar 21 17:31:33 2016 commencing in-memory singleton removal
  90. Mon Mar 21 17:31:34 2016 begin with 19224267 relations and 20592049 unique ideals
  91. Mon Mar 21 17:31:43 2016 reduce to 19063661 relations and 18724684 ideals in 7 passes
  92. Mon Mar 21 17:31:43 2016 max relations containing the same ideal: 101
  93. Mon Mar 21 17:31:53 2016 relations with 0 large ideals: 10705
  94. Mon Mar 21 17:31:53 2016 relations with 1 large ideals: 3082
  95. Mon Mar 21 17:31:53 2016 relations with 2 large ideals: 29647
  96. Mon Mar 21 17:31:53 2016 relations with 3 large ideals: 243226
  97. Mon Mar 21 17:31:53 2016 relations with 4 large ideals: 1085359
  98. Mon Mar 21 17:31:53 2016 relations with 5 large ideals: 2875006
  99. Mon Mar 21 17:31:53 2016 relations with 6 large ideals: 4746235
  100. Mon Mar 21 17:31:53 2016 relations with 7+ large ideals: 10070401
  101. Mon Mar 21 17:31:53 2016 commencing 2-way merge
  102. Mon Mar 21 17:32:03 2016 reduce to 12515939 relation sets and 12176962 unique ideals
  103. Mon Mar 21 17:32:03 2016 commencing full merge
  104. Mon Mar 21 17:36:50 2016 memory use: 1706.8 MB
  105. Mon Mar 21 17:36:51 2016 found 5701466 cycles, need 5699162
  106. Mon Mar 21 17:36:51 2016 weight of 5699162 cycles is about 684583374 (120.12/cycle)
  107. Mon Mar 21 17:36:51 2016 distribution of cycle lengths:
  108. Mon Mar 21 17:36:51 2016 1 relations: 204610
  109. Mon Mar 21 17:36:51 2016 2 relations: 338368
  110. Mon Mar 21 17:36:51 2016 3 relations: 406262
  111. Mon Mar 21 17:36:51 2016 4 relations: 420651
  112. Mon Mar 21 17:36:51 2016 5 relations: 426198
  113. Mon Mar 21 17:36:51 2016 6 relations: 421114
  114. Mon Mar 21 17:36:51 2016 7 relations: 408961
  115. Mon Mar 21 17:36:51 2016 8 relations: 391535
  116. Mon Mar 21 17:36:51 2016 9 relations: 367394
  117. Mon Mar 21 17:36:51 2016 10+ relations: 2314069
  118. Mon Mar 21 17:36:51 2016 heaviest cycle: 28 relations
  119. Mon Mar 21 17:36:52 2016 commencing cycle optimization
  120. Mon Mar 21 17:37:01 2016 start with 51407152 relations
  121. Mon Mar 21 17:39:04 2016 pruned 2432637 relations
  122. Mon Mar 21 17:39:04 2016 memory use: 1325.3 MB
  123. Mon Mar 21 17:39:04 2016 distribution of cycle lengths:
  124. Mon Mar 21 17:39:04 2016 1 relations: 204610
  125. Mon Mar 21 17:39:04 2016 2 relations: 346809
  126. Mon Mar 21 17:39:04 2016 3 relations: 424181
  127. Mon Mar 21 17:39:04 2016 4 relations: 438227
  128. Mon Mar 21 17:39:04 2016 5 relations: 447803
  129. Mon Mar 21 17:39:04 2016 6 relations: 441185
  130. Mon Mar 21 17:39:04 2016 7 relations: 430719
  131. Mon Mar 21 17:39:04 2016 8 relations: 410088
  132. Mon Mar 21 17:39:04 2016 9 relations: 384404
  133. Mon Mar 21 17:39:04 2016 10+ relations: 2171136
  134. Mon Mar 21 17:39:04 2016 heaviest cycle: 28 relations
  135. Mon Mar 21 17:39:10 2016 RelProcTime: 3462
  136. Mon Mar 21 17:39:10 2016 elapsed time 00:57:44
  137. Mon Mar 21 22:07:34 2016
  138. Mon Mar 21 22:07:34 2016
  139. Mon Mar 21 22:07:34 2016 Msieve v. 1.52 (SVN unknown)
  140. Mon Mar 21 22:07:34 2016 random seeds: c91e7280 5afee6d2
  141. Mon Mar 21 22:07:34 2016 factoring 313333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333333 (225 digits)
  142. Mon Mar 21 22:07:35 2016 no P-1/P+1/ECM available, skipping
  143. Mon Mar 21 22:07:35 2016 commencing number field sieve (225-digit input)
  144. Mon Mar 21 22:07:35 2016 R0: -10000000000000000000000000000000000000
  145. Mon Mar 21 22:07:35 2016 R1: 1
  146. Mon Mar 21 22:07:35 2016 A0: -1
  147. Mon Mar 21 22:07:35 2016 A1: 0
  148. Mon Mar 21 22:07:35 2016 A2: 0
  149. Mon Mar 21 22:07:35 2016 A3: 0
  150. Mon Mar 21 22:07:35 2016 A4: 0
  151. Mon Mar 21 22:07:35 2016 A5: 0
  152. Mon Mar 21 22:07:35 2016 A6: 940
  153. Mon Mar 21 22:07:35 2016 skew 1.00, size 2.724e-011, alpha 1.133, combined = 1.277e-012 rroots = 2
  154. Mon Mar 21 22:07:35 2016
  155. Mon Mar 21 22:07:35 2016 commencing linear algebra
  156. Mon Mar 21 22:07:36 2016 read 5699162 cycles
  157. Mon Mar 21 22:07:47 2016 cycles contain 18857342 unique relations
  158. Mon Mar 21 22:10:53 2016 read 18857342 relations
  159. Mon Mar 21 22:11:20 2016 using 20 quadratic characters above 1073741724
  160. Mon Mar 21 22:12:38 2016 building initial matrix
  161. Mon Mar 21 22:16:25 2016 memory use: 2473.4 MB
  162. Mon Mar 21 22:16:29 2016 read 5699162 cycles
  163. Mon Mar 21 22:16:30 2016 matrix is 5698985 x 5699162 (2643.7 MB) with weight 758985790 (133.17/col)
  164. Mon Mar 21 22:16:30 2016 sparse part has weight 636040711 (111.60/col)
  165. Mon Mar 21 22:17:36 2016 filtering completed in 2 passes
  166. Mon Mar 21 22:17:38 2016 matrix is 5698960 x 5699137 (2643.7 MB) with weight 758985036 (133.18/col)
  167. Mon Mar 21 22:17:38 2016 sparse part has weight 636040473 (111.60/col)
  168. Mon Mar 21 22:17:52 2016 matrix starts at (0, 0)
  169. Mon Mar 21 22:17:53 2016 matrix is 5698960 x 5699137 (2643.7 MB) with weight 758985036 (133.18/col)
  170. Mon Mar 21 22:17:53 2016 sparse part has weight 636040473 (111.60/col)
  171. Mon Mar 21 22:17:53 2016 saving the first 48 matrix rows for later
  172. Mon Mar 21 22:17:55 2016 matrix includes 64 packed rows
  173. Mon Mar 21 22:17:56 2016 matrix is 5698912 x 5699137 (2539.3 MB) with weight 650758952 (114.19/col)
  174. Mon Mar 21 22:17:56 2016 sparse part has weight 608669842 (106.80/col)
  175. Mon Mar 21 22:17:56 2016 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  176. Mon Mar 21 22:18:26 2016 commencing Lanczos iteration (4 threads)
  177. Mon Mar 21 22:18:26 2016 memory use: 2131.1 MB
  178. Mon Mar 21 22:18:46 2016 linear algebra at 0.0%, ETA 19h45m
  179. Mon Mar 21 22:18:52 2016 checkpointing every 300000 dimensions
  180. Tue Mar 22 18:00:57 2016 lanczos halted after 90123 iterations (dim = 5698908)
  181. Tue Mar 22 18:01:08 2016 recovered 35 nontrivial dependencies
  182. Tue Mar 22 18:01:10 2016 BLanczosTime: 71615
  183. Tue Mar 22 18:01:10 2016
  184. Tue Mar 22 18:01:10 2016 commencing square root phase
  185. Tue Mar 22 18:01:10 2016 reading relations for dependency 1
  186. Tue Mar 22 18:01:11 2016 read 2849626 cycles
  187. Tue Mar 22 18:01:16 2016 cycles contain 9426748 unique relations
  188. Tue Mar 22 18:02:57 2016 read 9426748 relations
  189. Tue Mar 22 18:03:43 2016 multiplying 9426748 relations
  190. Tue Mar 22 18:13:25 2016 multiply complete, coefficients have about 315.41 million bits
  191. Tue Mar 22 18:13:28 2016 initial square root is modulo 456649
  192. Tue Mar 22 18:24:49 2016 GCD is 1, no factor found
  193. Tue Mar 22 18:24:49 2016 reading relations for dependency 2
  194. Tue Mar 22 18:24:50 2016 read 2849384 cycles
  195. Tue Mar 22 18:24:55 2016 cycles contain 9429816 unique relations
  196. Tue Mar 22 18:26:37 2016 read 9429816 relations
  197. Tue Mar 22 18:27:23 2016 multiplying 9429816 relations
  198. Tue Mar 22 18:37:04 2016 multiply complete, coefficients have about 315.52 million bits
  199. Tue Mar 22 18:37:07 2016 initial square root is modulo 458791
  200. Tue Mar 22 18:48:31 2016 sqrtTime: 2841
  201. Tue Mar 22 18:48:31 2016 prp112 factor: 1052772858839127625389208993845564243546872425259431579107345255419890439450300685383709542020768000672970081887
  202. Tue Mar 22 18:48:31 2016 prp114 factor: 297626720429362104780882120427617928824514443402293951099056617318006222994815246646967306819704484029048689146059
  203. Tue Mar 22 18:48:31 2016 elapsed time 20:40:57
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