mersenneforum

8_271_minus_5_271

Nov 27th, 2015
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  1. Mon Oct 05 22:09:48 2015
  2. Mon Oct 05 22:09:48 2015
  3. Mon Oct 05 22:09:48 2015 Msieve v. 1.52 (SVN 946)
  4. Mon Oct 05 22:09:48 2015 random seeds: ff596990 f8acda6e
  5. Mon Oct 05 22:09:48 2015 factoring 11191226026255227660983844677235923760338016835978676428463551425561024840425096991822591239010916288501117586572826131828659084287667678892797125623499592803077137888504238525976618079219235596370778850258611810581482774510603874191443139907 (242 digits)
  6. Mon Oct 05 22:09:49 2015 no P-1/P+1/ECM available, skipping
  7. Mon Oct 05 22:09:49 2015 commencing number field sieve (242-digit input)
  8. Mon Oct 05 22:09:49 2015 R0: 43556142965880123323311949751266331066368
  9. Mon Oct 05 22:09:49 2015 R1: -28421709430404007434844970703125
  10. Mon Oct 05 22:09:49 2015 A0: -5
  11. Mon Oct 05 22:09:49 2015 A1: 0
  12. Mon Oct 05 22:09:49 2015 A2: 0
  13. Mon Oct 05 22:09:49 2015 A3: 0
  14. Mon Oct 05 22:09:49 2015 A4: 0
  15. Mon Oct 05 22:09:49 2015 A5: 0
  16. Mon Oct 05 22:09:49 2015 A6: 8
  17. Mon Oct 05 22:09:49 2015 skew 0.93, size 5.201e-012, alpha 0.660, combined = 3.912e-013 rroots = 2
  18. Mon Oct 05 22:09:49 2015
  19. Mon Oct 05 22:09:49 2015 commencing relation filtering
  20. Mon Oct 05 22:09:49 2015 setting target matrix density to 120.0
  21. Mon Oct 05 22:09:49 2015 estimated available RAM is 16331.2 MB
  22. Mon Oct 05 22:09:49 2015 commencing duplicate removal, pass 1
  23. <errors reading relations>
  24. Mon Oct 05 22:44:20 2015 skipped 57 relations with b > 2^32
  25. Mon Oct 05 22:44:20 2015 found 43774357 hash collisions in 225304366 relations
  26. Mon Oct 05 22:44:47 2015 added 1218855 free relations
  27. Mon Oct 05 22:44:47 2015 commencing duplicate removal, pass 2
  28. Mon Oct 05 22:46:49 2015 found 43070590 duplicates and 183452631 unique relations
  29. Mon Oct 05 22:46:49 2015 memory use: 1321.5 MB
  30. Mon Oct 05 22:46:49 2015 reading ideals above 145948672
  31. Mon Oct 05 22:46:49 2015 commencing singleton removal, initial pass
  32. Mon Oct 05 23:18:12 2015 memory use: 3012.0 MB
  33. Mon Oct 05 23:18:12 2015 reading all ideals from disk
  34. Mon Oct 05 23:18:20 2015 memory use: 3099.9 MB
  35. Mon Oct 05 23:18:32 2015 commencing in-memory singleton removal
  36. Mon Oct 05 23:18:44 2015 begin with 183452631 relations and 156122037 unique ideals
  37. Mon Oct 05 23:20:40 2015 reduce to 111946744 relations and 76606818 ideals in 15 passes
  38. Mon Oct 05 23:20:40 2015 max relations containing the same ideal: 39
  39. Mon Oct 05 23:20:51 2015 reading ideals above 720000
  40. Mon Oct 05 23:20:52 2015 commencing singleton removal, initial pass
  41. Mon Oct 05 23:44:23 2015 memory use: 2756.0 MB
  42. Mon Oct 05 23:44:23 2015 reading all ideals from disk
  43. Mon Oct 05 23:44:35 2015 memory use: 4378.6 MB
  44. Mon Oct 05 23:44:53 2015 keeping 92494476 ideals with weight <= 200, target excess is 569751
  45. Mon Oct 05 23:45:10 2015 commencing in-memory singleton removal
  46. Mon Oct 05 23:45:24 2015 begin with 111946744 relations and 92494476 unique ideals
  47. Mon Oct 05 23:47:26 2015 reduce to 111941634 relations and 92489364 ideals in 9 passes
  48. Mon Oct 05 23:47:26 2015 max relations containing the same ideal: 200
  49. Mon Oct 05 23:48:36 2015 removing 11322372 relations and 9322372 ideals in 2000000 cliques
  50. Mon Oct 05 23:48:39 2015 commencing in-memory singleton removal
  51. Mon Oct 05 23:48:52 2015 begin with 100619262 relations and 92489364 unique ideals
  52. Mon Oct 05 23:50:43 2015 reduce to 99785712 relations and 82314573 ideals in 9 passes
  53. Mon Oct 05 23:50:43 2015 max relations containing the same ideal: 194
  54. Mon Oct 05 23:51:41 2015 removing 8581204 relations and 6581204 ideals in 2000000 cliques
  55. Mon Oct 05 23:51:43 2015 commencing in-memory singleton removal
  56. Mon Oct 05 23:51:54 2015 begin with 91204508 relations and 82314573 unique ideals
  57. Mon Oct 05 23:53:14 2015 reduce to 90644231 relations and 75161858 ideals in 8 passes
  58. Mon Oct 05 23:53:14 2015 max relations containing the same ideal: 184
  59. Mon Oct 05 23:54:09 2015 removing 7765234 relations and 5765234 ideals in 2000000 cliques
  60. Mon Oct 05 23:54:11 2015 commencing in-memory singleton removal
  61. Mon Oct 05 23:54:20 2015 begin with 82878997 relations and 75161858 unique ideals
  62. Mon Oct 05 23:55:22 2015 reduce to 82376211 relations and 68883629 ideals in 7 passes
  63. Mon Oct 05 23:55:22 2015 max relations containing the same ideal: 174
  64. Mon Oct 05 23:56:10 2015 removing 7355211 relations and 5355211 ideals in 2000000 cliques
  65. Mon Oct 05 23:56:12 2015 commencing in-memory singleton removal
  66. Mon Oct 05 23:56:20 2015 begin with 75021000 relations and 68883629 unique ideals
  67. Mon Oct 05 23:57:21 2015 reduce to 74537069 relations and 63033946 ideals in 8 passes
  68. Mon Oct 05 23:57:21 2015 max relations containing the same ideal: 161
  69. Mon Oct 05 23:58:04 2015 removing 7103075 relations and 5103075 ideals in 2000000 cliques
  70. Mon Oct 05 23:58:06 2015 commencing in-memory singleton removal
  71. Mon Oct 05 23:58:13 2015 begin with 67433994 relations and 63033946 unique ideals
  72. Mon Oct 05 23:59:06 2015 reduce to 66949900 relations and 57435517 ideals in 8 passes
  73. Mon Oct 05 23:59:06 2015 max relations containing the same ideal: 152
  74. Mon Oct 05 23:59:45 2015 removing 6938962 relations and 4938962 ideals in 2000000 cliques
  75. Mon Oct 05 23:59:47 2015 commencing in-memory singleton removal
  76. Mon Oct 05 23:59:53 2015 begin with 60010938 relations and 57435517 unique ideals
  77. Tue Oct 06 00:00:32 2015 reduce to 59509296 relations and 51982204 ideals in 7 passes
  78. Tue Oct 06 00:00:32 2015 max relations containing the same ideal: 140
  79. Tue Oct 06 00:01:05 2015 removing 6824683 relations and 4824683 ideals in 2000000 cliques
  80. Tue Oct 06 00:01:07 2015 commencing in-memory singleton removal
  81. Tue Oct 06 00:01:12 2015 begin with 52684613 relations and 51982204 unique ideals
  82. Tue Oct 06 00:01:44 2015 reduce to 52151823 relations and 46609383 ideals in 7 passes
  83. Tue Oct 06 00:01:44 2015 max relations containing the same ideal: 128
  84. Tue Oct 06 00:02:14 2015 removing 6746133 relations and 4746133 ideals in 2000000 cliques
  85. Tue Oct 06 00:02:16 2015 commencing in-memory singleton removal
  86. Tue Oct 06 00:02:20 2015 begin with 45405690 relations and 46609383 unique ideals
  87. Tue Oct 06 00:02:47 2015 reduce to 44820273 relations and 41258892 ideals in 7 passes
  88. Tue Oct 06 00:02:47 2015 max relations containing the same ideal: 116
  89. Tue Oct 06 00:03:12 2015 removing 6694434 relations and 4694434 ideals in 2000000 cliques
  90. Tue Oct 06 00:03:13 2015 commencing in-memory singleton removal
  91. Tue Oct 06 00:03:17 2015 begin with 38125839 relations and 41258892 unique ideals
  92. Tue Oct 06 00:03:40 2015 reduce to 37452738 relations and 35865856 ideals in 7 passes
  93. Tue Oct 06 00:03:40 2015 max relations containing the same ideal: 101
  94. Tue Oct 06 00:04:02 2015 removing 3612281 relations and 2686311 ideals in 925970 cliques
  95. Tue Oct 06 00:04:03 2015 commencing in-memory singleton removal
  96. Tue Oct 06 00:04:06 2015 begin with 33840457 relations and 35865856 unique ideals
  97. Tue Oct 06 00:04:25 2015 reduce to 33603874 relations and 32937814 ideals in 7 passes
  98. Tue Oct 06 00:04:25 2015 max relations containing the same ideal: 93
  99. Tue Oct 06 00:04:49 2015 relations with 0 large ideals: 21746
  100. Tue Oct 06 00:04:49 2015 relations with 1 large ideals: 6392
  101. Tue Oct 06 00:04:49 2015 relations with 2 large ideals: 92811
  102. Tue Oct 06 00:04:49 2015 relations with 3 large ideals: 667479
  103. Tue Oct 06 00:04:49 2015 relations with 4 large ideals: 2607830
  104. Tue Oct 06 00:04:49 2015 relations with 5 large ideals: 6068415
  105. Tue Oct 06 00:04:49 2015 relations with 6 large ideals: 8813130
  106. Tue Oct 06 00:04:49 2015 relations with 7+ large ideals: 15326071
  107. Tue Oct 06 00:04:49 2015 commencing 2-way merge
  108. Tue Oct 06 00:05:14 2015 reduce to 22004584 relation sets and 21338524 unique ideals
  109. Tue Oct 06 00:05:14 2015 commencing full merge
  110. Tue Oct 06 00:17:59 2015 memory use: 2874.0 MB
  111. Tue Oct 06 00:18:02 2015 found 9904379 cycles, need 9890724
  112. Tue Oct 06 00:18:03 2015 weight of 9890724 cycles is about 1187482987 (120.06/cycle)
  113. Tue Oct 06 00:18:03 2015 distribution of cycle lengths:
  114. Tue Oct 06 00:18:03 2015 1 relations: 395283
  115. Tue Oct 06 00:18:03 2015 2 relations: 571258
  116. Tue Oct 06 00:18:03 2015 3 relations: 681576
  117. Tue Oct 06 00:18:03 2015 4 relations: 706340
  118. Tue Oct 06 00:18:03 2015 5 relations: 724679
  119. Tue Oct 06 00:18:03 2015 6 relations: 719543
  120. Tue Oct 06 00:18:03 2015 7 relations: 710379
  121. Tue Oct 06 00:18:03 2015 8 relations: 678128
  122. Tue Oct 06 00:18:03 2015 9 relations: 640094
  123. Tue Oct 06 00:18:03 2015 10+ relations: 4063444
  124. Tue Oct 06 00:18:03 2015 heaviest cycle: 28 relations
  125. Tue Oct 06 00:18:06 2015 commencing cycle optimization
  126. Tue Oct 06 00:18:30 2015 start with 89500368 relations
  127. Tue Oct 06 00:23:45 2015 pruned 4195051 relations
  128. Tue Oct 06 00:23:45 2015 memory use: 2318.8 MB
  129. Tue Oct 06 00:23:45 2015 distribution of cycle lengths:
  130. Tue Oct 06 00:23:45 2015 1 relations: 395283
  131. Tue Oct 06 00:23:45 2015 2 relations: 585398
  132. Tue Oct 06 00:23:45 2015 3 relations: 710363
  133. Tue Oct 06 00:23:45 2015 4 relations: 735579
  134. Tue Oct 06 00:23:45 2015 5 relations: 761531
  135. Tue Oct 06 00:23:45 2015 6 relations: 754932
  136. Tue Oct 06 00:23:45 2015 7 relations: 747515
  137. Tue Oct 06 00:23:45 2015 8 relations: 711117
  138. Tue Oct 06 00:23:45 2015 9 relations: 671201
  139. Tue Oct 06 00:23:45 2015 10+ relations: 3817805
  140. Tue Oct 06 00:23:45 2015 heaviest cycle: 28 relations
  141. Tue Oct 06 00:24:21 2015 RelProcTime: 8072
  142. Tue Oct 06 00:24:21 2015 elapsed time 02:14:33
  143. Tue Oct 06 00:32:49 2015
  144. Tue Oct 06 00:32:49 2015
  145. Tue Oct 06 00:32:49 2015 Msieve v. 1.52 (SVN 946)
  146. Tue Oct 06 00:32:49 2015 random seeds: 64a7aa58 c122a062
  147. Tue Oct 06 00:32:49 2015 factoring 11191226026255227660983844677235923760338016835978676428463551425561024840425096991822591239010916288501117586572826131828659084287667678892797125623499592803077137888504238525976618079219235596370778850258611810581482774510603874191443139907 (242 digits)
  148. Tue Oct 06 00:32:51 2015 no P-1/P+1/ECM available, skipping
  149. Tue Oct 06 00:32:51 2015 commencing number field sieve (242-digit input)
  150. Tue Oct 06 00:32:51 2015 R0: 43556142965880123323311949751266331066368
  151. Tue Oct 06 00:32:51 2015 R1: -28421709430404007434844970703125
  152. Tue Oct 06 00:32:51 2015 A0: -5
  153. Tue Oct 06 00:32:51 2015 A1: 0
  154. Tue Oct 06 00:32:51 2015 A2: 0
  155. Tue Oct 06 00:32:51 2015 A3: 0
  156. Tue Oct 06 00:32:51 2015 A4: 0
  157. Tue Oct 06 00:32:51 2015 A5: 0
  158. Tue Oct 06 00:32:51 2015 A6: 8
  159. Tue Oct 06 00:32:51 2015 skew 0.93, size 5.201e-012, alpha 0.660, combined = 3.912e-013 rroots = 2
  160. Tue Oct 06 00:32:51 2015
  161. Tue Oct 06 00:32:51 2015 commencing linear algebra
  162. Tue Oct 06 00:32:52 2015 read 9890724 cycles
  163. Tue Oct 06 00:33:18 2015 cycles contain 33213603 unique relations
  164. Tue Oct 06 00:38:56 2015 read 33213603 relations
  165. Tue Oct 06 00:40:14 2015 using 20 quadratic characters above 2147482952
  166. Tue Oct 06 00:42:37 2015 building initial matrix
  167. Tue Oct 06 00:51:43 2015 memory use: 4196.7 MB
  168. Tue Oct 06 00:51:50 2015 read 9890724 cycles
  169. Tue Oct 06 00:51:53 2015 matrix is 9890546 x 9890724 (4634.8 MB) with weight 1341255398 (135.61/col)
  170. Tue Oct 06 00:51:53 2015 sparse part has weight 1106186141 (111.84/col)
  171. Tue Oct 06 00:54:25 2015 filtering completed in 2 passes
  172. Tue Oct 06 00:54:29 2015 matrix is 9890445 x 9890623 (4634.8 MB) with weight 1341252065 (135.61/col)
  173. Tue Oct 06 00:54:29 2015 sparse part has weight 1106185192 (111.84/col)
  174. Tue Oct 06 00:55:05 2015 matrix starts at (0, 0)
  175. Tue Oct 06 00:55:08 2015 matrix is 9890445 x 9890623 (4634.8 MB) with weight 1341252065 (135.61/col)
  176. Tue Oct 06 00:55:08 2015 sparse part has weight 1106185192 (111.84/col)
  177. Tue Oct 06 00:55:08 2015 saving the first 48 matrix rows for later
  178. Tue Oct 06 00:55:11 2015 matrix includes 64 packed rows
  179. Tue Oct 06 00:55:13 2015 matrix is 9890397 x 9890623 (4461.1 MB) with weight 1148274712 (116.10/col)
  180. Tue Oct 06 00:55:13 2015 sparse part has weight 1070531992 (108.24/col)
  181. Tue Oct 06 00:55:13 2015 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  182. Tue Oct 06 00:56:09 2015 commencing Lanczos iteration (4 threads)
  183. Tue Oct 06 00:56:09 2015 memory use: 3800.1 MB
  184. Tue Oct 06 00:56:55 2015 linear algebra at 0.0%, ETA 79h59m
  185. Tue Oct 06 00:57:11 2015 checkpointing every 130000 dimensions
  186. Thu Oct 08 21:36:55 2015 lanczos halted after 156408 iterations (dim = 9890396)
  187. Thu Oct 08 21:37:16 2015 recovered 35 nontrivial dependencies
  188. Thu Oct 08 21:37:21 2015 BLanczosTime: 248670
  189. Thu Oct 08 21:37:21 2015 elapsed time 69:04:32
  190. Thu Oct 08 23:04:50 2015
  191. Thu Oct 08 23:04:50 2015
  192. Thu Oct 08 23:04:50 2015 Msieve v. 1.52 (SVN 946)
  193. Thu Oct 08 23:04:50 2015 random seeds: 2e92d2c4 00f61e1a
  194. Thu Oct 08 23:04:50 2015 factoring 11191226026255227660983844677235923760338016835978676428463551425561024840425096991822591239010916288501117586572826131828659084287667678892797125623499592803077137888504238525976618079219235596370778850258611810581482774510603874191443139907 (242 digits)
  195. Thu Oct 08 23:04:52 2015 no P-1/P+1/ECM available, skipping
  196. Thu Oct 08 23:04:52 2015 commencing number field sieve (242-digit input)
  197. Thu Oct 08 23:04:52 2015 R0: 43556142965880123323311949751266331066368
  198. Thu Oct 08 23:04:52 2015 R1: -28421709430404007434844970703125
  199. Thu Oct 08 23:04:52 2015 A0: -5
  200. Thu Oct 08 23:04:52 2015 A1: 0
  201. Thu Oct 08 23:04:52 2015 A2: 0
  202. Thu Oct 08 23:04:52 2015 A3: 0
  203. Thu Oct 08 23:04:52 2015 A4: 0
  204. Thu Oct 08 23:04:52 2015 A5: 0
  205. Thu Oct 08 23:04:52 2015 A6: 8
  206. Thu Oct 08 23:04:52 2015 skew 0.93, size 5.201e-012, alpha 0.660, combined = 3.912e-013 rroots = 2
  207. Thu Oct 08 23:04:52 2015
  208. Thu Oct 08 23:04:52 2015 commencing square root phase
  209. Thu Oct 08 23:04:52 2015 reading relations for dependency 1
  210. Thu Oct 08 23:04:54 2015 read 4945280 cycles
  211. Thu Oct 08 23:05:02 2015 cycles contain 16599238 unique relations
  212. Thu Oct 08 23:08:07 2015 read 16599238 relations
  213. Thu Oct 08 23:10:02 2015 multiplying 16599238 relations
  214. Thu Oct 08 23:25:13 2015 multiply complete, coefficients have about 461.41 million bits
  215. Thu Oct 08 23:25:19 2015 initial square root is modulo 190196473
  216. Thu Oct 08 23:44:08 2015 sqrtTime: 2356
  217. Thu Oct 08 23:44:08 2015 prp63 factor: 669210440708603658600670975212436113442778902187076563175526507
  218. Thu Oct 08 23:44:08 2015 prp179 factor: 16723029626383634548261066296001950801971168002922291683533187531366042703038654354357826967895658977127155413172863379630857098821097886525320346912129789169445339726132262616201
  219. Thu Oct 08 23:44:08 2015 elapsed time 00:39:18
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