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Aug 7th, 2016
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  1. Fri Aug 5 10:00:05 2016
  2. Fri Aug 5 10:00:05 2016
  3. Fri Aug 5 10:00:05 2016 Msieve v. 1.53 (SVN 988M)
  4. Fri Aug 5 10:00:05 2016 random seeds: 0cd86f18 e2a48f78
  5. Fri Aug 5 10:00:05 2016 factoring 2765257721672912744692112801403075795763475797795098150838017429199858688086180665348729294429125571071199326893491007369303695547901612531986367431122773969634833869152377195863357913689862027632891925248398118620943241 (220 digits)
  6. Fri Aug 5 10:00:06 2016 searching for 15-digit factors
  7. Fri Aug 5 10:00:08 2016 commencing number field sieve (220-digit input)
  8. Fri Aug 5 10:00:08 2016 R0: 3740434344477351388916475705363381856681
  9. Fri Aug 5 10:00:08 2016 R1: -20769187434139310514121985316880384
  10. Fri Aug 5 10:00:08 2016 A0: -8
  11. Fri Aug 5 10:00:08 2016 A1: 0
  12. Fri Aug 5 10:00:08 2016 A2: 0
  13. Fri Aug 5 10:00:08 2016 A3: 0
  14. Fri Aug 5 10:00:08 2016 A4: 0
  15. Fri Aug 5 10:00:08 2016 A5: 0
  16. Fri Aug 5 10:00:08 2016 A6: 11
  17. Fri Aug 5 10:00:08 2016 skew 0.95, size 5.827e-12, alpha 2.335, combined = 4.349e-13 rroots = 2
  18. Fri Aug 5 10:00:08 2016
  19. Fri Aug 5 10:00:08 2016 commencing relation filtering
  20. Fri Aug 5 10:00:08 2016 setting target matrix density to 130.0
  21. Fri Aug 5 10:00:08 2016 estimated available RAM is 65536.0 MB
  22. Fri Aug 5 10:00:08 2016 commencing duplicate removal, pass 1
  23. Fri Aug 5 10:21:41 2016 error -1 reading relation 177409939
  24. Fri Aug 5 10:24:17 2016 error -5 reading relation 198669416
  25. Fri Aug 5 10:24:49 2016 error -15 reading relation 203136785
  26. Fri Aug 5 10:26:28 2016 error -15 reading relation 216855977
  27. Fri Aug 5 10:26:30 2016 error -1 reading relation 217113243
  28. Fri Aug 5 10:26:31 2016 error -9 reading relation 217268498
  29. Fri Aug 5 10:26:32 2016 error -9 reading relation 217395353
  30. Fri Aug 5 10:26:34 2016 error -15 reading relation 217623479
  31. Fri Aug 5 10:26:34 2016 error -9 reading relation 217708413
  32. Fri Aug 5 10:27:21 2016 error -9 reading relation 224159202
  33. Fri Aug 5 10:27:35 2016 error -9 reading relation 226215042
  34. Fri Aug 5 10:27:36 2016 error -15 reading relation 226256917
  35. Fri Aug 5 10:27:36 2016 error -9 reading relation 226281398
  36. Fri Aug 5 10:27:36 2016 error -9 reading relation 226344410
  37. Fri Aug 5 10:27:37 2016 error -15 reading relation 226374689
  38. Fri Aug 5 10:27:37 2016 error -15 reading relation 226435807
  39. Fri Aug 5 10:27:37 2016 error -9 reading relation 226471130
  40. Fri Aug 5 10:27:39 2016 error -9 reading relation 226759762
  41. Fri Aug 5 10:29:42 2016 skipped 80 relations with b > 2^32
  42. Fri Aug 5 10:29:42 2016 skipped 17 relations with composite factors
  43. Fri Aug 5 10:29:42 2016 found 47386091 hash collisions in 243434475 relations
  44. Fri Aug 5 10:29:56 2016 added 1218627 free relations
  45. Fri Aug 5 10:29:56 2016 commencing duplicate removal, pass 2
  46. Fri Aug 5 10:33:37 2016 found 46082862 duplicates and 198570240 unique relations
  47. Fri Aug 5 10:33:37 2016 memory use: 1321.5 MB
  48. Fri Aug 5 10:33:37 2016 reading ideals above 720000
  49. Fri Aug 5 10:33:37 2016 commencing singleton removal, initial pass
  50. Fri Aug 5 10:57:40 2016 memory use: 5512.0 MB
  51. Fri Aug 5 10:57:40 2016 reading all ideals from disk
  52. Fri Aug 5 10:57:45 2016 memory use: 7788.1 MB
  53. Fri Aug 5 10:58:05 2016 keeping 175428934 ideals with weight <= 200, target excess is 1009039
  54. Fri Aug 5 10:58:29 2016 commencing in-memory singleton removal
  55. Fri Aug 5 10:58:44 2016 begin with 198570240 relations and 175428934 unique ideals
  56. Fri Aug 5 11:01:18 2016 reduce to 132257767 relations and 102616483 ideals in 13 passes
  57. Fri Aug 5 11:01:18 2016 max relations containing the same ideal: 162
  58. Fri Aug 5 11:02:12 2016 removing 10395095 relations and 8395095 ideals in 2000000 cliques
  59. Fri Aug 5 11:02:16 2016 commencing in-memory singleton removal
  60. Fri Aug 5 11:02:26 2016 begin with 121862672 relations and 102616483 unique ideals
  61. Fri Aug 5 11:03:46 2016 reduce to 121261991 relations and 93609256 ideals in 8 passes
  62. Fri Aug 5 11:03:46 2016 max relations containing the same ideal: 155
  63. Fri Aug 5 11:04:36 2016 removing 7905530 relations and 5905530 ideals in 2000000 cliques
  64. Fri Aug 5 11:04:39 2016 commencing in-memory singleton removal
  65. Fri Aug 5 11:04:47 2016 begin with 113356461 relations and 93609256 unique ideals
  66. Fri Aug 5 11:06:02 2016 reduce to 112954949 relations and 87295524 ideals in 8 passes
  67. Fri Aug 5 11:06:02 2016 max relations containing the same ideal: 148
  68. Fri Aug 5 11:06:48 2016 removing 7179649 relations and 5179649 ideals in 2000000 cliques
  69. Fri Aug 5 11:06:51 2016 commencing in-memory singleton removal
  70. Fri Aug 5 11:06:59 2016 begin with 105775300 relations and 87295524 unique ideals
  71. Fri Aug 5 11:07:59 2016 reduce to 105424167 relations and 81758888 ideals in 7 passes
  72. Fri Aug 5 11:07:59 2016 max relations containing the same ideal: 142
  73. Fri Aug 5 11:08:42 2016 removing 6805890 relations and 4805890 ideals in 2000000 cliques
  74. Fri Aug 5 11:08:44 2016 commencing in-memory singleton removal
  75. Fri Aug 5 11:08:52 2016 begin with 98618277 relations and 81758888 unique ideals
  76. Fri Aug 5 11:09:40 2016 reduce to 98287498 relations and 76616528 ideals in 6 passes
  77. Fri Aug 5 11:09:40 2016 max relations containing the same ideal: 133
  78. Fri Aug 5 11:10:20 2016 removing 6572429 relations and 4572429 ideals in 2000000 cliques
  79. Fri Aug 5 11:10:23 2016 commencing in-memory singleton removal
  80. Fri Aug 5 11:10:29 2016 begin with 91715069 relations and 76616528 unique ideals
  81. Fri Aug 5 11:11:14 2016 reduce to 91396002 relations and 71719135 ideals in 6 passes
  82. Fri Aug 5 11:11:14 2016 max relations containing the same ideal: 127
  83. Fri Aug 5 11:11:51 2016 removing 6410876 relations and 4410876 ideals in 2000000 cliques
  84. Fri Aug 5 11:11:54 2016 commencing in-memory singleton removal
  85. Fri Aug 5 11:12:00 2016 begin with 84985126 relations and 71719135 unique ideals
  86. Fri Aug 5 11:12:41 2016 reduce to 84667592 relations and 66984580 ideals in 6 passes
  87. Fri Aug 5 11:12:41 2016 max relations containing the same ideal: 122
  88. Fri Aug 5 11:13:16 2016 removing 6299189 relations and 4299189 ideals in 2000000 cliques
  89. Fri Aug 5 11:13:18 2016 commencing in-memory singleton removal
  90. Fri Aug 5 11:13:24 2016 begin with 78368403 relations and 66984580 unique ideals
  91. Fri Aug 5 11:14:08 2016 reduce to 78046488 relations and 62356753 ideals in 7 passes
  92. Fri Aug 5 11:14:08 2016 max relations containing the same ideal: 114
  93. Fri Aug 5 11:14:40 2016 removing 6218331 relations and 4218331 ideals in 2000000 cliques
  94. Fri Aug 5 11:14:42 2016 commencing in-memory singleton removal
  95. Fri Aug 5 11:14:47 2016 begin with 71828157 relations and 62356753 unique ideals
  96. Fri Aug 5 11:15:27 2016 reduce to 71495917 relations and 57798737 ideals in 7 passes
  97. Fri Aug 5 11:15:27 2016 max relations containing the same ideal: 109
  98. Fri Aug 5 11:15:56 2016 removing 6157906 relations and 4157906 ideals in 2000000 cliques
  99. Fri Aug 5 11:15:58 2016 commencing in-memory singleton removal
  100. Fri Aug 5 11:16:03 2016 begin with 65338011 relations and 57798737 unique ideals
  101. Fri Aug 5 11:16:39 2016 reduce to 64987808 relations and 53282346 ideals in 7 passes
  102. Fri Aug 5 11:16:39 2016 max relations containing the same ideal: 101
  103. Fri Aug 5 11:17:05 2016 removing 6117556 relations and 4117556 ideals in 2000000 cliques
  104. Fri Aug 5 11:17:07 2016 commencing in-memory singleton removal
  105. Fri Aug 5 11:17:12 2016 begin with 58870252 relations and 53282346 unique ideals
  106. Fri Aug 5 11:17:43 2016 reduce to 58500674 relations and 48785191 ideals in 7 passes
  107. Fri Aug 5 11:17:43 2016 max relations containing the same ideal: 95
  108. Fri Aug 5 11:18:07 2016 removing 6090972 relations and 4090972 ideals in 2000000 cliques
  109. Fri Aug 5 11:18:09 2016 commencing in-memory singleton removal
  110. Fri Aug 5 11:18:13 2016 begin with 52409702 relations and 48785191 unique ideals
  111. Fri Aug 5 11:18:41 2016 reduce to 52008255 relations and 44281140 ideals in 7 passes
  112. Fri Aug 5 11:18:41 2016 max relations containing the same ideal: 89
  113. Fri Aug 5 11:19:02 2016 removing 6076291 relations and 4076291 ideals in 2000000 cliques
  114. Fri Aug 5 11:19:04 2016 commencing in-memory singleton removal
  115. Fri Aug 5 11:19:07 2016 begin with 45931964 relations and 44281140 unique ideals
  116. Fri Aug 5 11:19:32 2016 reduce to 45490848 relations and 39749326 ideals in 7 passes
  117. Fri Aug 5 11:19:32 2016 max relations containing the same ideal: 83
  118. Fri Aug 5 11:19:50 2016 removing 6070085 relations and 4070085 ideals in 2000000 cliques
  119. Fri Aug 5 11:19:52 2016 commencing in-memory singleton removal
  120. Fri Aug 5 11:19:55 2016 begin with 39420763 relations and 39749326 unique ideals
  121. Fri Aug 5 11:20:15 2016 reduce to 38917706 relations and 35157330 ideals in 7 passes
  122. Fri Aug 5 11:20:15 2016 max relations containing the same ideal: 76
  123. Fri Aug 5 11:20:31 2016 removing 6083298 relations and 4083298 ideals in 2000000 cliques
  124. Fri Aug 5 11:20:33 2016 commencing in-memory singleton removal
  125. Fri Aug 5 11:20:35 2016 begin with 32834408 relations and 35157330 unique ideals
  126. Fri Aug 5 11:20:54 2016 reduce to 32236363 relations and 30450184 ideals in 8 passes
  127. Fri Aug 5 11:20:54 2016 max relations containing the same ideal: 65
  128. Fri Aug 5 11:21:07 2016 removing 2346739 relations and 1731046 ideals in 615693 cliques
  129. Fri Aug 5 11:21:09 2016 commencing in-memory singleton removal
  130. Fri Aug 5 11:21:10 2016 begin with 29889624 relations and 30450184 unique ideals
  131. Fri Aug 5 11:21:25 2016 reduce to 29770731 relations and 28598225 ideals in 7 passes
  132. Fri Aug 5 11:21:25 2016 max relations containing the same ideal: 62
  133. Fri Aug 5 11:21:41 2016 relations with 0 large ideals: 35101
  134. Fri Aug 5 11:21:41 2016 relations with 1 large ideals: 26939
  135. Fri Aug 5 11:21:41 2016 relations with 2 large ideals: 335441
  136. Fri Aug 5 11:21:41 2016 relations with 3 large ideals: 1746687
  137. Fri Aug 5 11:21:41 2016 relations with 4 large ideals: 4788886
  138. Fri Aug 5 11:21:41 2016 relations with 5 large ideals: 7681200
  139. Fri Aug 5 11:21:41 2016 relations with 6 large ideals: 7591628
  140. Fri Aug 5 11:21:41 2016 relations with 7+ large ideals: 7564849
  141. Fri Aug 5 11:21:41 2016 commencing 2-way merge
  142. Fri Aug 5 11:21:58 2016 reduce to 19976797 relation sets and 18804291 unique ideals
  143. Fri Aug 5 11:21:58 2016 commencing full merge
  144. Fri Aug 5 11:29:45 2016 memory use: 2472.6 MB
  145. Fri Aug 5 11:29:48 2016 found 8758303 cycles, need 8710491
  146. Fri Aug 5 11:29:49 2016 weight of 8710491 cycles is about 1132958649 (130.07/cycle)
  147. Fri Aug 5 11:29:49 2016 distribution of cycle lengths:
  148. Fri Aug 5 11:29:49 2016 1 relations: 250786
  149. Fri Aug 5 11:29:49 2016 2 relations: 399448
  150. Fri Aug 5 11:29:49 2016 3 relations: 502967
  151. Fri Aug 5 11:29:49 2016 4 relations: 546304
  152. Fri Aug 5 11:29:49 2016 5 relations: 581405
  153. Fri Aug 5 11:29:49 2016 6 relations: 597105
  154. Fri Aug 5 11:29:49 2016 7 relations: 600993
  155. Fri Aug 5 11:29:49 2016 8 relations: 591042
  156. Fri Aug 5 11:29:49 2016 9 relations: 571000
  157. Fri Aug 5 11:29:49 2016 10+ relations: 4069441
  158. Fri Aug 5 11:29:49 2016 heaviest cycle: 28 relations
  159. Fri Aug 5 11:29:51 2016 commencing cycle optimization
  160. Fri Aug 5 11:30:11 2016 start with 85580270 relations
  161. Fri Aug 5 11:34:16 2016 pruned 4700192 relations
  162. Fri Aug 5 11:34:16 2016 memory use: 2110.0 MB
  163. Fri Aug 5 11:34:16 2016 distribution of cycle lengths:
  164. Fri Aug 5 11:34:16 2016 1 relations: 250786
  165. Fri Aug 5 11:34:16 2016 2 relations: 410164
  166. Fri Aug 5 11:34:16 2016 3 relations: 525665
  167. Fri Aug 5 11:34:16 2016 4 relations: 572964
  168. Fri Aug 5 11:34:16 2016 5 relations: 616145
  169. Fri Aug 5 11:34:16 2016 6 relations: 634182
  170. Fri Aug 5 11:34:16 2016 7 relations: 642431
  171. Fri Aug 5 11:34:16 2016 8 relations: 629819
  172. Fri Aug 5 11:34:16 2016 9 relations: 609854
  173. Fri Aug 5 11:34:16 2016 10+ relations: 3818481
  174. Fri Aug 5 11:34:16 2016 heaviest cycle: 28 relations
  175. Fri Aug 5 11:34:32 2016 RelProcTime: 5664
  176. Fri Aug 5 11:34:32 2016
  177. Fri Aug 5 11:34:32 2016 commencing linear algebra
  178. Fri Aug 5 11:34:34 2016 read 8710491 cycles
  179. Fri Aug 5 11:34:54 2016 cycles contain 29220845 unique relations
  180. Fri Aug 5 11:39:34 2016 read 29220845 relations
  181. Fri Aug 5 11:40:36 2016 using 20 quadratic characters above 4294917295
  182. Fri Aug 5 11:42:20 2016 building initial matrix
  183. Fri Aug 5 11:48:03 2016 memory use: 3675.2 MB
  184. Fri Aug 5 11:48:11 2016 read 8710491 cycles
  185. Fri Aug 5 11:48:12 2016 matrix is 8710314 x 8710491 (4312.6 MB) with weight 1232411364 (141.49/col)
  186. Fri Aug 5 11:48:12 2016 sparse part has weight 1043413135 (119.79/col)
  187. Fri Aug 5 11:50:10 2016 filtering completed in 2 passes
  188. Fri Aug 5 11:50:12 2016 matrix is 8710210 x 8710387 (4312.6 MB) with weight 1232407255 (141.49/col)
  189. Fri Aug 5 11:50:12 2016 sparse part has weight 1043411269 (119.79/col)
  190. Fri Aug 5 11:50:45 2016 matrix starts at (0, 0)
  191. Fri Aug 5 11:50:46 2016 matrix is 8710210 x 8710387 (4312.6 MB) with weight 1232407255 (141.49/col)
  192. Fri Aug 5 11:50:46 2016 sparse part has weight 1043411269 (119.79/col)
  193. Fri Aug 5 11:50:46 2016 saving the first 48 matrix rows for later
  194. Fri Aug 5 11:50:47 2016 matrix includes 64 packed rows
  195. Fri Aug 5 11:50:48 2016 matrix is 8710162 x 8710387 (4155.5 MB) with weight 1067162346 (122.52/col)
  196. Fri Aug 5 11:50:48 2016 sparse part has weight 1002233200 (115.06/col)
  197. Fri Aug 5 11:50:48 2016 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  198. Fri Aug 5 11:51:41 2016 commencing Lanczos iteration (6 threads)
  199. Fri Aug 5 11:51:41 2016 memory use: 3556.6 MB
  200. Fri Aug 5 11:52:06 2016 linear algebra at 0.0%, ETA 36h47m
  201. Fri Aug 5 11:52:14 2016 checkpointing every 240000 dimensions
  202. Sun Aug 7 01:33:44 2016 lanczos halted after 137747 iterations (dim = 8710157)
  203. Sun Aug 7 01:33:58 2016 recovered 32 nontrivial dependencies
  204. Sun Aug 7 01:34:00 2016 BLanczosTime: 136768
  205. Sun Aug 7 01:34:00 2016
  206. Sun Aug 7 01:34:00 2016 commencing square root phase
  207. Sun Aug 7 01:34:00 2016 handling dependencies 1 to 64
  208. Sun Aug 7 01:34:00 2016 reading relations for dependency 1
  209. Sun Aug 7 01:34:02 2016 read 4353631 cycles
  210. Sun Aug 7 01:34:10 2016 cycles contain 14607068 unique relations
  211. Sun Aug 7 01:37:49 2016 read 14607068 relations
  212. Sun Aug 7 01:38:48 2016 multiplying 14607068 relations
  213. Sun Aug 7 01:49:41 2016 multiply complete, coefficients have about 413.68 million bits
  214. Sun Aug 7 01:49:43 2016 initial square root is modulo 26471989
  215. Sun Aug 7 02:00:53 2016 sqrtTime: 1613
  216. Sun Aug 7 02:00:53 2016 p80 factor: 10841601082009965186108713634500680746039918818029444499044671260429203193542141
  217. Sun Aug 7 02:00:53 2016 p141 factor: 255059903122745337079229030261102850409186526711151822977014624511141129632777035350013996529686647691949878112874030839094985353693850207101
  218. Sun Aug 7 02:00:53 2016 elapsed time 40:00:48
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