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Dec 29th, 2015
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  1. Sat Dec 26 12:09:08 2015
  2. Sat Dec 26 12:09:08 2015
  3. Sat Dec 26 12:09:08 2015 Msieve v. 1.53 (SVN 988)
  4. Sat Dec 26 12:09:08 2015 random seeds: 4625150f 1327687c
  5. Sat Dec 26 12:09:08 2015 factoring 15313275357497264707326272438984865287920608656781406845258851014830121922924783970693681144312119110016244167947721381383094086709125294556558157345138304858612300074147596730022121813011225975937008959087506413 (212 digits)
  6. Sat Dec 26 12:09:09 2015 no P-1/P+1/ECM available, skipping
  7. Sat Dec 26 12:09:09 2015 commencing number field sieve (212-digit input)
  8. Sat Dec 26 12:09:09 2015 R0: -42535295865117307932921825928971026432
  9. Sat Dec 26 12:09:09 2015 R1: 1
  10. Sat Dec 26 12:09:09 2015 A0: 1
  11. Sat Dec 26 12:09:09 2015 A1: 0
  12. Sat Dec 26 12:09:09 2015 A2: 0
  13. Sat Dec 26 12:09:09 2015 A3: 0
  14. Sat Dec 26 12:09:09 2015 A4: 0
  15. Sat Dec 26 12:09:09 2015 A5: 0
  16. Sat Dec 26 12:09:09 2015 A6: 187
  17. Sat Dec 26 12:09:09 2015 skew 1.00, size 1.845e-11, alpha 1.636, combined = 9.990e-13 rroots = 0
  18. Sat Dec 26 12:09:09 2015
  19. Sat Dec 26 12:09:09 2015 commencing relation filtering
  20. Sat Dec 26 12:09:09 2015 setting target matrix density to 120.0
  21. Sat Dec 26 12:09:09 2015 estimated available RAM is 31929.5 MB
  22. Sat Dec 26 12:09:09 2015 commencing duplicate removal, pass 1
  23. Sat Dec 26 12:28:18 2015 skipped 62 relations with b > 2^32
  24. Sat Dec 26 12:28:18 2015 skipped 1 relations with composite factors
  25. Sat Dec 26 12:28:18 2015 found 6228927 hash collisions in 119913046 relations
  26. Sat Dec 26 12:28:38 2015 added 1219000 free relations
  27. Sat Dec 26 12:28:38 2015 commencing duplicate removal, pass 2
  28. Sat Dec 26 12:29:28 2015 found 0 duplicates and 121132046 unique relations
  29. Sat Dec 26 12:29:28 2015 memory use: 378.4 MB
  30. Sat Dec 26 12:29:28 2015 reading ideals above 720000
  31. Sat Dec 26 12:29:28 2015 commencing singleton removal, initial pass
  32. Sat Dec 26 12:52:39 2015 memory use: 2756.0 MB
  33. Sat Dec 26 12:52:39 2015 reading all ideals from disk
  34. Sat Dec 26 12:52:42 2015 memory use: 4615.2 MB
  35. Sat Dec 26 12:53:06 2015 keeping 96062055 ideals with weight <= 200, target excess is 611219
  36. Sat Dec 26 12:53:36 2015 commencing in-memory singleton removal
  37. Sat Dec 26 12:53:55 2015 begin with 121132046 relations and 96062055 unique ideals
  38. Sat Dec 26 12:58:15 2015 reduce to 94257475 relations and 67347818 ideals in 11 passes
  39. Sat Dec 26 12:58:15 2015 max relations containing the same ideal: 177
  40. Sat Dec 26 12:59:25 2015 removing 7380019 relations and 5380019 ideals in 2000000 cliques
  41. Sat Dec 26 12:59:28 2015 commencing in-memory singleton removal
  42. Sat Dec 26 12:59:42 2015 begin with 86877456 relations and 67347818 unique ideals
  43. Sat Dec 26 13:02:01 2015 reduce to 86411941 relations and 61490144 ideals in 7 passes
  44. Sat Dec 26 13:02:01 2015 max relations containing the same ideal: 170
  45. Sat Dec 26 13:03:05 2015 removing 5966875 relations and 3966875 ideals in 2000000 cliques
  46. Sat Dec 26 13:03:08 2015 commencing in-memory singleton removal
  47. Sat Dec 26 13:03:20 2015 begin with 80445066 relations and 61490144 unique ideals
  48. Sat Dec 26 13:05:08 2015 reduce to 80130503 relations and 57201452 ideals in 6 passes
  49. Sat Dec 26 13:05:08 2015 max relations containing the same ideal: 161
  50. Sat Dec 26 13:06:07 2015 removing 5593254 relations and 3593254 ideals in 2000000 cliques
  51. Sat Dec 26 13:06:10 2015 commencing in-memory singleton removal
  52. Sat Dec 26 13:06:21 2015 begin with 74537249 relations and 57201452 unique ideals
  53. Sat Dec 26 13:08:00 2015 reduce to 74263018 relations and 53327529 ideals in 6 passes
  54. Sat Dec 26 13:08:00 2015 max relations containing the same ideal: 154
  55. Sat Dec 26 13:08:54 2015 removing 5395388 relations and 3395388 ideals in 2000000 cliques
  56. Sat Dec 26 13:08:57 2015 commencing in-memory singleton removal
  57. Sat Dec 26 13:09:07 2015 begin with 68867630 relations and 53327529 unique ideals
  58. Sat Dec 26 13:10:37 2015 reduce to 68610573 relations and 49668906 ideals in 6 passes
  59. Sat Dec 26 13:10:37 2015 max relations containing the same ideal: 146
  60. Sat Dec 26 13:11:28 2015 removing 5268144 relations and 3268144 ideals in 2000000 cliques
  61. Sat Dec 26 13:11:30 2015 commencing in-memory singleton removal
  62. Sat Dec 26 13:11:39 2015 begin with 63342429 relations and 49668906 unique ideals
  63. Sat Dec 26 13:13:00 2015 reduce to 63091470 relations and 46143335 ideals in 6 passes
  64. Sat Dec 26 13:13:00 2015 max relations containing the same ideal: 140
  65. Sat Dec 26 13:13:46 2015 removing 5182750 relations and 3182750 ideals in 2000000 cliques
  66. Sat Dec 26 13:13:49 2015 commencing in-memory singleton removal
  67. Sat Dec 26 13:13:56 2015 begin with 57908720 relations and 46143335 unique ideals
  68. Sat Dec 26 13:15:09 2015 reduce to 57655785 relations and 42700813 ideals in 6 passes
  69. Sat Dec 26 13:15:09 2015 max relations containing the same ideal: 129
  70. Sat Dec 26 13:15:51 2015 removing 5118400 relations and 3118400 ideals in 2000000 cliques
  71. Sat Dec 26 13:15:54 2015 commencing in-memory singleton removal
  72. Sat Dec 26 13:16:01 2015 begin with 52537385 relations and 42700813 unique ideals
  73. Sat Dec 26 13:17:06 2015 reduce to 52276801 relations and 39314267 ideals in 6 passes
  74. Sat Dec 26 13:17:06 2015 max relations containing the same ideal: 121
  75. Sat Dec 26 13:17:44 2015 removing 5076164 relations and 3076164 ideals in 2000000 cliques
  76. Sat Dec 26 13:17:47 2015 commencing in-memory singleton removal
  77. Sat Dec 26 13:17:53 2015 begin with 47200637 relations and 39314267 unique ideals
  78. Sat Dec 26 13:18:50 2015 reduce to 46926019 relations and 35954647 ideals in 6 passes
  79. Sat Dec 26 13:18:50 2015 max relations containing the same ideal: 115
  80. Sat Dec 26 13:19:24 2015 removing 5048612 relations and 3048612 ideals in 2000000 cliques
  81. Sat Dec 26 13:19:27 2015 commencing in-memory singleton removal
  82. Sat Dec 26 13:19:32 2015 begin with 41877407 relations and 35954647 unique ideals
  83. Sat Dec 26 13:20:22 2015 reduce to 41580997 relations and 32599060 ideals in 6 passes
  84. Sat Dec 26 13:20:22 2015 max relations containing the same ideal: 106
  85. Sat Dec 26 13:20:52 2015 removing 5032282 relations and 3032282 ideals in 2000000 cliques
  86. Sat Dec 26 13:20:54 2015 commencing in-memory singleton removal
  87. Sat Dec 26 13:20:59 2015 begin with 36548715 relations and 32599060 unique ideals
  88. Sat Dec 26 13:21:41 2015 reduce to 36219181 relations and 29224305 ideals in 6 passes
  89. Sat Dec 26 13:21:41 2015 max relations containing the same ideal: 97
  90. Sat Dec 26 13:22:07 2015 removing 5029037 relations and 3029037 ideals in 2000000 cliques
  91. Sat Dec 26 13:22:09 2015 commencing in-memory singleton removal
  92. Sat Dec 26 13:22:13 2015 begin with 31190144 relations and 29224305 unique ideals
  93. Sat Dec 26 13:22:48 2015 reduce to 30813837 relations and 25802380 ideals in 6 passes
  94. Sat Dec 26 13:22:48 2015 max relations containing the same ideal: 83
  95. Sat Dec 26 13:23:10 2015 removing 5040592 relations and 3040592 ideals in 2000000 cliques
  96. Sat Dec 26 13:23:12 2015 commencing in-memory singleton removal
  97. Sat Dec 26 13:23:15 2015 begin with 25773245 relations and 25802380 unique ideals
  98. Sat Dec 26 13:23:43 2015 reduce to 25320526 relations and 22285281 ideals in 6 passes
  99. Sat Dec 26 13:23:43 2015 max relations containing the same ideal: 76
  100. Sat Dec 26 13:24:02 2015 removing 5074194 relations and 3074194 ideals in 2000000 cliques
  101. Sat Dec 26 13:24:04 2015 commencing in-memory singleton removal
  102. Sat Dec 26 13:24:06 2015 begin with 20246332 relations and 22285281 unique ideals
  103. Sat Dec 26 13:24:34 2015 reduce to 19655392 relations and 18582149 ideals in 8 passes
  104. Sat Dec 26 13:24:34 2015 max relations containing the same ideal: 63
  105. Sat Dec 26 13:24:48 2015 removing 1239395 relations and 875167 ideals in 364228 cliques
  106. Sat Dec 26 13:24:49 2015 commencing in-memory singleton removal
  107. Sat Dec 26 13:24:52 2015 begin with 18415997 relations and 18582149 unique ideals
  108. Sat Dec 26 13:25:10 2015 reduce to 18328046 relations and 17617240 ideals in 6 passes
  109. Sat Dec 26 13:25:10 2015 max relations containing the same ideal: 60
  110. Sat Dec 26 13:25:27 2015 relations with 0 large ideals: 22890
  111. Sat Dec 26 13:25:27 2015 relations with 1 large ideals: 14857
  112. Sat Dec 26 13:25:27 2015 relations with 2 large ideals: 172935
  113. Sat Dec 26 13:25:27 2015 relations with 3 large ideals: 937027
  114. Sat Dec 26 13:25:27 2015 relations with 4 large ideals: 2690533
  115. Sat Dec 26 13:25:27 2015 relations with 5 large ideals: 4549629
  116. Sat Dec 26 13:25:27 2015 relations with 6 large ideals: 4772594
  117. Sat Dec 26 13:25:27 2015 relations with 7+ large ideals: 5167581
  118. Sat Dec 26 13:25:27 2015 commencing 2-way merge
  119. Sat Dec 26 13:25:43 2015 reduce to 13103944 relation sets and 12393138 unique ideals
  120. Sat Dec 26 13:25:43 2015 commencing full merge
  121. Sat Dec 26 13:34:01 2015 memory use: 1584.5 MB
  122. Sat Dec 26 13:34:03 2015 found 5842914 cycles, need 5791338
  123. Sat Dec 26 13:34:05 2015 weight of 5791338 cycles is about 695040094 (120.01/cycle)
  124. Sat Dec 26 13:34:05 2015 distribution of cycle lengths:
  125. Sat Dec 26 13:34:05 2015 1 relations: 147222
  126. Sat Dec 26 13:34:05 2015 2 relations: 291916
  127. Sat Dec 26 13:34:05 2015 3 relations: 389177
  128. Sat Dec 26 13:34:05 2015 4 relations: 428604
  129. Sat Dec 26 13:34:05 2015 5 relations: 460413
  130. Sat Dec 26 13:34:05 2015 6 relations: 466982
  131. Sat Dec 26 13:34:05 2015 7 relations: 456416
  132. Sat Dec 26 13:34:05 2015 8 relations: 436054
  133. Sat Dec 26 13:34:05 2015 9 relations: 403631
  134. Sat Dec 26 13:34:05 2015 10+ relations: 2310923
  135. Sat Dec 26 13:34:05 2015 heaviest cycle: 28 relations
  136. Sat Dec 26 13:34:07 2015 commencing cycle optimization
  137. Sat Dec 26 13:34:30 2015 start with 51760521 relations
  138. Sat Dec 26 13:37:55 2015 pruned 2958794 relations
  139. Sat Dec 26 13:37:55 2015 memory use: 1295.0 MB
  140. Sat Dec 26 13:37:55 2015 distribution of cycle lengths:
  141. Sat Dec 26 13:37:55 2015 1 relations: 147222
  142. Sat Dec 26 13:37:55 2015 2 relations: 300885
  143. Sat Dec 26 13:37:55 2015 3 relations: 409047
  144. Sat Dec 26 13:37:55 2015 4 relations: 452621
  145. Sat Dec 26 13:37:55 2015 5 relations: 491117
  146. Sat Dec 26 13:37:55 2015 6 relations: 497657
  147. Sat Dec 26 13:37:55 2015 7 relations: 489640
  148. Sat Dec 26 13:37:55 2015 8 relations: 463322
  149. Sat Dec 26 13:37:55 2015 9 relations: 427821
  150. Sat Dec 26 13:37:55 2015 10+ relations: 2112006
  151. Sat Dec 26 13:37:55 2015 heaviest cycle: 28 relations
  152. Sat Dec 26 13:38:08 2015 RelProcTime: 5339
  153. Sat Dec 26 13:38:08 2015 elapsed time 01:29:00
  154. Sun Dec 27 22:40:48 2015
  155. Sun Dec 27 22:40:48 2015
  156. Sun Dec 27 22:40:48 2015 Msieve v. 1.53 (SVN 988)
  157. Sun Dec 27 22:40:48 2015 random seeds: 5181b757 f6dae6d0
  158. Sun Dec 27 22:40:48 2015 factoring 15313275357497264707326272438984865287920608656781406845258851014830121922924783970693681144312119110016244167947721381383094086709125294556558157345138304858612300074147596730022121813011225975937008959087506413 (212 digits)
  159. Sun Dec 27 22:40:50 2015 no P-1/P+1/ECM available, skipping
  160. Sun Dec 27 22:40:50 2015 commencing number field sieve (212-digit input)
  161. Sun Dec 27 22:40:50 2015 R0: -42535295865117307932921825928971026432
  162. Sun Dec 27 22:40:50 2015 R1: 1
  163. Sun Dec 27 22:40:50 2015 A0: 1
  164. Sun Dec 27 22:40:50 2015 A1: 0
  165. Sun Dec 27 22:40:50 2015 A2: 0
  166. Sun Dec 27 22:40:50 2015 A3: 0
  167. Sun Dec 27 22:40:50 2015 A4: 0
  168. Sun Dec 27 22:40:50 2015 A5: 0
  169. Sun Dec 27 22:40:50 2015 A6: 187
  170. Sun Dec 27 22:40:50 2015 skew 1.00, size 1.845e-11, alpha 1.636, combined = 9.990e-13 rroots = 0
  171. Sun Dec 27 22:40:50 2015
  172. Sun Dec 27 22:40:50 2015 commencing linear algebra
  173. Sun Dec 27 22:40:50 2015 read 5791338 cycles
  174. Sun Dec 27 22:41:12 2015 cycles contain 18018592 unique relations
  175. Sun Dec 27 22:43:19 2015 read 18018592 relations
  176. Sun Dec 27 22:44:04 2015 using 20 quadratic characters above 4294917295
  177. Sun Dec 27 22:45:20 2015 building initial matrix
  178. Sun Dec 27 22:52:53 2015 memory use: 2362.9 MB
  179. Sun Dec 27 22:52:56 2015 read 5791338 cycles
  180. Sun Dec 27 22:52:58 2015 matrix is 5791160 x 5791338 (2679.1 MB) with weight 765256259 (132.14/col)
  181. Sun Dec 27 22:52:58 2015 sparse part has weight 638611952 (110.27/col)
  182. Sun Dec 27 22:54:50 2015 filtering completed in 2 passes
  183. Sun Dec 27 22:54:52 2015 matrix is 5790978 x 5791156 (2679.1 MB) with weight 765249032 (132.14/col)
  184. Sun Dec 27 22:54:52 2015 sparse part has weight 638608756 (110.27/col)
  185. Sun Dec 27 22:55:17 2015 matrix starts at (0, 0)
  186. Sun Dec 27 22:55:18 2015 matrix is 5790978 x 5791156 (2679.1 MB) with weight 765249032 (132.14/col)
  187. Sun Dec 27 22:55:18 2015 sparse part has weight 638608756 (110.27/col)
  188. Sun Dec 27 22:55:18 2015 saving the first 48 matrix rows for later
  189. Sun Dec 27 22:55:19 2015 matrix includes 64 packed rows
  190. Sun Dec 27 22:55:20 2015 matrix is 5790930 x 5791156 (2564.4 MB) with weight 658374783 (113.69/col)
  191. Sun Dec 27 22:55:20 2015 sparse part has weight 614330400 (106.08/col)
  192. Sun Dec 27 22:55:21 2015 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  193. Sun Dec 27 22:55:50 2015 commencing Lanczos iteration (4 threads)
  194. Sun Dec 27 22:55:50 2015 memory use: 2151.2 MB
  195. Sun Dec 27 22:56:42 2015 linear algebra at 0.0%, ETA 52h54m
  196. Sun Dec 27 22:56:58 2015 checkpointing every 120000 dimensions
  197. Mon Dec 28 22:24:34 2015 lanczos halted after 91575 iterations (dim = 5790925)
  198. Mon Dec 28 22:24:39 2015 recovered 34 nontrivial dependencies
  199. Mon Dec 28 22:24:39 2015 BLanczosTime: 85429
  200. Mon Dec 28 22:24:39 2015 elapsed time 23:43:51
  201. Mon Dec 28 22:34:25 2015
  202. Mon Dec 28 22:34:25 2015
  203. Mon Dec 28 22:34:25 2015 Msieve v. 1.53 (SVN 988)
  204. Mon Dec 28 22:34:25 2015 random seeds: 2c7cf39a 3cf68954
  205. Mon Dec 28 22:34:25 2015 factoring 15313275357497264707326272438984865287920608656781406845258851014830121922924783970693681144312119110016244167947721381383094086709125294556558157345138304858612300074147596730022121813011225975937008959087506413 (212 digits)
  206. Mon Dec 28 22:34:26 2015 no P-1/P+1/ECM available, skipping
  207. Mon Dec 28 22:34:26 2015 commencing number field sieve (212-digit input)
  208. Mon Dec 28 22:34:26 2015 R0: -42535295865117307932921825928971026432
  209. Mon Dec 28 22:34:26 2015 R1: 1
  210. Mon Dec 28 22:34:26 2015 A0: 1
  211. Mon Dec 28 22:34:26 2015 A1: 0
  212. Mon Dec 28 22:34:26 2015 A2: 0
  213. Mon Dec 28 22:34:26 2015 A3: 0
  214. Mon Dec 28 22:34:26 2015 A4: 0
  215. Mon Dec 28 22:34:26 2015 A5: 0
  216. Mon Dec 28 22:34:26 2015 A6: 187
  217. Mon Dec 28 22:34:26 2015 skew 1.00, size 1.845e-11, alpha 1.636, combined = 9.990e-13 rroots = 0
  218. Mon Dec 28 22:34:26 2015
  219. Mon Dec 28 22:34:26 2015 commencing square root phase
  220. Mon Dec 28 22:34:26 2015 reading relations for dependency 1
  221. Mon Dec 28 22:34:26 2015 read 2892809 cycles
  222. Mon Dec 28 22:34:33 2015 cycles contain 9002686 unique relations
  223. Mon Dec 28 22:35:42 2015 read 9002686 relations
  224. Mon Dec 28 22:36:55 2015 multiplying 9002686 relations
  225. Mon Dec 28 22:48:58 2015 multiply complete, coefficients have about 283.71 million bits
  226. Mon Dec 28 22:48:59 2015 initial square root is modulo 123229
  227. Mon Dec 28 23:02:30 2015 GCD is 1, no factor found
  228. Mon Dec 28 23:02:30 2015 reading relations for dependency 2
  229. Mon Dec 28 23:02:31 2015 read 2895219 cycles
  230. Mon Dec 28 23:02:40 2015 cycles contain 9013588 unique relations
  231. Mon Dec 28 23:03:51 2015 read 9013588 relations
  232. Mon Dec 28 23:05:02 2015 multiplying 9013588 relations
  233. Mon Dec 28 23:16:59 2015 multiply complete, coefficients have about 284.04 million bits
  234. Mon Dec 28 23:17:00 2015 initial square root is modulo 124951
  235. Mon Dec 28 23:30:33 2015 sqrtTime: 3367
  236. Mon Dec 28 23:30:33 2015 p101 factor: 18143578957112903024219208128943064170091130559885591410019364935058555931716545645750762965103877397
  237. Mon Dec 28 23:30:33 2015 p111 factor: 844005220452601906434351028899191443018391831514749834501830373919894736659932478555984863889143657410223972729
  238. Mon Dec 28 23:30:33 2015 elapsed time 00:56:08
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