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88009573_31m1

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Mar 2nd, 2019
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  1. Tue Feb 26 21:48:46 2019
  2. Tue Feb 26 21:48:46 2019
  3. Tue Feb 26 21:48:46 2019 Msieve v. 1.53 (SVN 988M)
  4. Tue Feb 26 21:48:46 2019 random seeds: 0ee567ee 07a9f50e
  5. Tue Feb 26 21:48:46 2019 factoring 8018543903148353750196788956005954682494552301915054497906496145925214968024764504459237471388687289094220133374568411363868430568908584790589133084067973469725733080832111988623394996670641808296866597420952630989 (214 digits)
  6. Tue Feb 26 21:48:47 2019 searching for 15-digit factors
  7. Tue Feb 26 21:48:48 2019 commencing number field sieve (214-digit input)
  8. Tue Feb 26 21:48:48 2019 R0: 5280190234425393471901277962981122019093
  9. Tue Feb 26 21:48:48 2019 R1: -1
  10. Tue Feb 26 21:48:48 2019 A0: -1
  11. Tue Feb 26 21:48:48 2019 A1: 0
  12. Tue Feb 26 21:48:48 2019 A2: 0
  13. Tue Feb 26 21:48:48 2019 A3: 0
  14. Tue Feb 26 21:48:48 2019 A4: 0
  15. Tue Feb 26 21:48:48 2019 A5: 0
  16. Tue Feb 26 21:48:48 2019 A6: 88009573
  17. Tue Feb 26 21:48:48 2019 skew 0.05, size 1.460e-12, alpha -1.570, combined = 1.615e-13 rroots = 2
  18. Tue Feb 26 21:48:48 2019
  19. Tue Feb 26 21:48:48 2019 commencing relation filtering
  20. Tue Feb 26 21:48:48 2019 setting target matrix density to 116.0
  21. Tue Feb 26 21:48:48 2019 estimated available RAM is 32768.0 MB
  22. Tue Feb 26 21:48:48 2019 commencing duplicate removal, pass 1
  23. Tue Feb 26 21:59:10 2019 error -15 reading relation 101593331
  24. Tue Feb 26 22:04:00 2019 error -15 reading relation 148486267
  25. Tue Feb 26 22:06:27 2019 error -15 reading relation 172415697
  26. Tue Feb 26 22:06:46 2019 error -15 reading relation 175427246
  27. Tue Feb 26 22:08:11 2019 skipped 12464 relations with b > 2^32
  28. Tue Feb 26 22:08:11 2019 skipped 4 relations with composite factors
  29. Tue Feb 26 22:08:11 2019 found 7872105 hash collisions in 189289927 relations
  30. Tue Feb 26 22:08:22 2019 added 1219214 free relations
  31. Tue Feb 26 22:08:22 2019 commencing duplicate removal, pass 2
  32. Tue Feb 26 22:09:05 2019 found 5 duplicates and 190509136 unique relations
  33. Tue Feb 26 22:09:05 2019 memory use: 522.4 MB
  34. Tue Feb 26 22:09:05 2019 reading ideals above 133627904
  35. Tue Feb 26 22:09:05 2019 commencing singleton removal, initial pass
  36. Tue Feb 26 22:23:39 2019 memory use: 5512.0 MB
  37. Tue Feb 26 22:23:39 2019 reading all ideals from disk
  38. Tue Feb 26 22:23:41 2019 memory use: 3736.4 MB
  39. Tue Feb 26 22:23:48 2019 commencing in-memory singleton removal
  40. Tue Feb 26 22:23:55 2019 begin with 190509136 relations and 164114840 unique ideals
  41. Tue Feb 26 22:25:16 2019 reduce to 124884673 relations and 91988091 ideals in 14 passes
  42. Tue Feb 26 22:25:16 2019 max relations containing the same ideal: 38
  43. Tue Feb 26 22:25:26 2019 reading ideals above 720000
  44. Tue Feb 26 22:25:26 2019 commencing singleton removal, initial pass
  45. Tue Feb 26 22:38:04 2019 memory use: 2756.0 MB
  46. Tue Feb 26 22:38:04 2019 reading all ideals from disk
  47. Tue Feb 26 22:38:07 2019 memory use: 4969.7 MB
  48. Tue Feb 26 22:38:17 2019 keeping 106504008 ideals with weight <= 200, target excess is 628029
  49. Tue Feb 26 22:38:29 2019 commencing in-memory singleton removal
  50. Tue Feb 26 22:38:37 2019 begin with 124884673 relations and 106504008 unique ideals
  51. Tue Feb 26 22:39:31 2019 reduce to 124884375 relations and 106503710 ideals in 6 passes
  52. Tue Feb 26 22:39:31 2019 max relations containing the same ideal: 200
  53. Tue Feb 26 22:40:18 2019 removing 11594622 relations and 9594622 ideals in 2000000 cliques
  54. Tue Feb 26 22:40:22 2019 commencing in-memory singleton removal
  55. Tue Feb 26 22:40:30 2019 begin with 113289753 relations and 106503710 unique ideals
  56. Tue Feb 26 22:41:43 2019 reduce to 112397000 relations and 95997185 ideals in 9 passes
  57. Tue Feb 26 22:41:43 2019 max relations containing the same ideal: 196
  58. Tue Feb 26 22:42:26 2019 removing 8889826 relations and 6889826 ideals in 2000000 cliques
  59. Tue Feb 26 22:42:29 2019 commencing in-memory singleton removal
  60. Tue Feb 26 22:42:36 2019 begin with 103507174 relations and 95997185 unique ideals
  61. Tue Feb 26 22:43:35 2019 reduce to 102915858 relations and 88505089 ideals in 8 passes
  62. Tue Feb 26 22:43:35 2019 max relations containing the same ideal: 185
  63. Tue Feb 26 22:44:15 2019 removing 8067381 relations and 6067381 ideals in 2000000 cliques
  64. Tue Feb 26 22:44:17 2019 commencing in-memory singleton removal
  65. Tue Feb 26 22:44:24 2019 begin with 94848477 relations and 88505089 unique ideals
  66. Tue Feb 26 22:45:11 2019 reduce to 94322353 relations and 81901659 ideals in 7 passes
  67. Tue Feb 26 22:45:11 2019 max relations containing the same ideal: 177
  68. Tue Feb 26 22:45:48 2019 removing 7648429 relations and 5648429 ideals in 2000000 cliques
  69. Tue Feb 26 22:45:50 2019 commencing in-memory singleton removal
  70. Tue Feb 26 22:45:56 2019 begin with 86673924 relations and 81901659 unique ideals
  71. Tue Feb 26 22:46:45 2019 reduce to 86171500 relations and 75740892 ideals in 8 passes
  72. Tue Feb 26 22:46:45 2019 max relations containing the same ideal: 167
  73. Tue Feb 26 22:47:19 2019 removing 7390582 relations and 5390582 ideals in 2000000 cliques
  74. Tue Feb 26 22:47:22 2019 commencing in-memory singleton removal
  75. Tue Feb 26 22:47:27 2019 begin with 78780918 relations and 75740892 unique ideals
  76. Tue Feb 26 22:48:11 2019 reduce to 78280882 relations and 69839701 ideals in 8 passes
  77. Tue Feb 26 22:48:11 2019 max relations containing the same ideal: 157
  78. Tue Feb 26 22:48:42 2019 removing 7223943 relations and 5223943 ideals in 2000000 cliques
  79. Tue Feb 26 22:48:45 2019 commencing in-memory singleton removal
  80. Tue Feb 26 22:48:49 2019 begin with 71056939 relations and 69839701 unique ideals
  81. Tue Feb 26 22:49:29 2019 reduce to 70542332 relations and 64089445 ideals in 8 passes
  82. Tue Feb 26 22:49:29 2019 max relations containing the same ideal: 147
  83. Tue Feb 26 22:49:57 2019 removing 7111700 relations and 5111700 ideals in 2000000 cliques
  84. Tue Feb 26 22:49:59 2019 commencing in-memory singleton removal
  85. Tue Feb 26 22:50:03 2019 begin with 63430632 relations and 64089445 unique ideals
  86. Tue Feb 26 22:50:38 2019 reduce to 62886139 relations and 58419767 ideals in 8 passes
  87. Tue Feb 26 22:50:38 2019 max relations containing the same ideal: 137
  88. Tue Feb 26 22:51:03 2019 removing 7050066 relations and 5050066 ideals in 2000000 cliques
  89. Tue Feb 26 22:51:05 2019 commencing in-memory singleton removal
  90. Tue Feb 26 22:51:09 2019 begin with 55836073 relations and 58419767 unique ideals
  91. Tue Feb 26 22:51:39 2019 reduce to 55235057 relations and 52751973 ideals in 8 passes
  92. Tue Feb 26 22:51:39 2019 max relations containing the same ideal: 128
  93. Tue Feb 26 22:52:02 2019 removing 6342847 relations and 4588277 ideals in 1754570 cliques
  94. Tue Feb 26 22:52:04 2019 commencing in-memory singleton removal
  95. Tue Feb 26 22:52:07 2019 begin with 48892210 relations and 52751973 unique ideals
  96. Tue Feb 26 22:52:30 2019 reduce to 48333031 relations and 47588929 ideals in 7 passes
  97. Tue Feb 26 22:52:30 2019 max relations containing the same ideal: 114
  98. Tue Feb 26 22:52:50 2019 removing 120787 relations and 105199 ideals in 15588 cliques
  99. Tue Feb 26 22:52:51 2019 commencing in-memory singleton removal
  100. Tue Feb 26 22:52:54 2019 begin with 48212244 relations and 47588929 unique ideals
  101. Tue Feb 26 22:53:07 2019 reduce to 48212070 relations and 47483556 ideals in 4 passes
  102. Tue Feb 26 22:53:07 2019 max relations containing the same ideal: 114
  103. Tue Feb 26 22:56:39 2019 relations with 0 large ideals: 23935
  104. Tue Feb 26 22:56:39 2019 relations with 1 large ideals: 6426
  105. Tue Feb 26 22:56:39 2019 relations with 2 large ideals: 98518
  106. Tue Feb 26 22:56:39 2019 relations with 3 large ideals: 741120
  107. Tue Feb 26 22:56:39 2019 relations with 4 large ideals: 3080251
  108. Tue Feb 26 22:56:39 2019 relations with 5 large ideals: 7725632
  109. Tue Feb 26 22:56:39 2019 relations with 6 large ideals: 12184031
  110. Tue Feb 26 22:56:39 2019 relations with 7+ large ideals: 24352157
  111. Tue Feb 26 22:56:39 2019 commencing 2-way merge
  112. Tue Feb 26 22:57:07 2019 reduce to 32301651 relation sets and 31573137 unique ideals
  113. Tue Feb 26 22:57:08 2019 commencing full merge
  114. Tue Feb 26 23:08:44 2019 memory use: 4004.4 MB
  115. Tue Feb 26 23:08:51 2019 found 14514028 cycles, need 14505337
  116. Tue Feb 26 23:08:52 2019 weight of 14505337 cycles is about 1682699805 (116.01/cycle)
  117. Tue Feb 26 23:08:52 2019 distribution of cycle lengths:
  118. Tue Feb 26 23:08:52 2019 1 relations: 716755
  119. Tue Feb 26 23:08:52 2019 2 relations: 980569
  120. Tue Feb 26 23:08:52 2019 3 relations: 1118942
  121. Tue Feb 26 23:08:52 2019 4 relations: 1137845
  122. Tue Feb 26 23:08:52 2019 5 relations: 1131883
  123. Tue Feb 26 23:08:52 2019 6 relations: 1098103
  124. Tue Feb 26 23:08:52 2019 7 relations: 1047475
  125. Tue Feb 26 23:08:52 2019 8 relations: 984678
  126. Tue Feb 26 23:08:52 2019 9 relations: 912489
  127. Tue Feb 26 23:08:52 2019 10+ relations: 5376598
  128. Tue Feb 26 23:08:52 2019 heaviest cycle: 28 relations
  129. Tue Feb 26 23:08:58 2019 commencing cycle optimization
  130. Tue Feb 26 23:09:29 2019 start with 123562224 relations
  131. Tue Feb 26 23:14:55 2019 pruned 5468527 relations
  132. Tue Feb 26 23:14:55 2019 memory use: 3279.3 MB
  133. Tue Feb 26 23:14:55 2019 distribution of cycle lengths:
  134. Tue Feb 26 23:14:55 2019 1 relations: 716755
  135. Tue Feb 26 23:14:55 2019 2 relations: 1006012
  136. Tue Feb 26 23:14:55 2019 3 relations: 1168276
  137. Tue Feb 26 23:14:55 2019 4 relations: 1185995
  138. Tue Feb 26 23:14:55 2019 5 relations: 1187086
  139. Tue Feb 26 23:14:55 2019 6 relations: 1147023
  140. Tue Feb 26 23:14:55 2019 7 relations: 1096574
  141. Tue Feb 26 23:14:55 2019 8 relations: 1024839
  142. Tue Feb 26 23:14:55 2019 9 relations: 945885
  143. Tue Feb 26 23:14:55 2019 10+ relations: 5026892
  144. Tue Feb 26 23:14:55 2019 heaviest cycle: 28 relations
  145. Tue Feb 26 23:15:29 2019 RelProcTime: 5201
  146. Tue Feb 26 23:15:31 2019
  147. Tue Feb 26 23:15:31 2019 commencing linear algebra
  148. Tue Feb 26 23:15:33 2019 read 14505337 cycles
  149. Tue Feb 26 23:16:08 2019 cycles contain 47782568 unique relations
  150. Tue Feb 26 23:19:15 2019 read 47782568 relations
  151. Tue Feb 26 23:20:55 2019 using 20 quadratic characters above 4294917295
  152. Tue Feb 26 23:23:43 2019 building initial matrix
  153. Tue Feb 26 23:31:47 2019 memory use: 6270.0 MB
  154. Tue Feb 26 23:32:00 2019 read 14505337 cycles
  155. Tue Feb 26 23:32:05 2019 matrix is 14505160 x 14505337 (6647.6 MB) with weight 1950384588 (134.46/col)
  156. Tue Feb 26 23:32:05 2019 sparse part has weight 1583077454 (109.14/col)
  157. Tue Feb 26 23:34:32 2019 filtering completed in 2 passes
  158. Tue Feb 26 23:34:34 2019 matrix is 14505027 x 14505204 (6647.6 MB) with weight 1950379984 (134.46/col)
  159. Tue Feb 26 23:34:34 2019 sparse part has weight 1583076240 (109.14/col)
  160. Tue Feb 26 23:35:27 2019 matrix starts at (0, 0)
  161. Tue Feb 26 23:35:28 2019 matrix is 14505027 x 14505204 (6647.6 MB) with weight 1950379984 (134.46/col)
  162. Tue Feb 26 23:35:28 2019 sparse part has weight 1583076240 (109.14/col)
  163. Tue Feb 26 23:35:32 2019 saving the first 48 matrix rows for later
  164. Tue Feb 26 23:35:34 2019 matrix includes 64 packed rows
  165. Tue Feb 26 23:35:35 2019 matrix is 14504979 x 14505204 (6414.2 MB) with weight 1668812845 (115.05/col)
  166. Tue Feb 26 23:35:35 2019 sparse part has weight 1536389845 (105.92/col)
  167. Tue Feb 26 23:35:35 2019 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  168. Tue Feb 26 23:36:52 2019 commencing Lanczos iteration (8 threads)
  169. Tue Feb 26 23:36:52 2019 memory use: 5424.4 MB
  170. Tue Feb 26 23:37:27 2019 linear algebra at 0.0%, ETA 79h49m
  171. Tue Feb 26 23:37:37 2019 checkpointing every 190000 dimensions
  172. Wed Feb 27 10:07:03 2019 lanczos halted after 30833 iterations (dim = 1949773)
  173. Wed Feb 27 10:07:06 2019 BLanczosTime: 39095
  174. Wed Feb 27 10:07:06 2019
  175. Wed Feb 27 10:07:06 2019 commencing square root phase
  176. Wed Feb 27 10:07:11 2019 handling dependencies 1 to 64
  177. Wed Feb 27 10:07:11 2019 reading relations for dependency 1
  178. Wed Feb 27 10:07:11 2019 error: read_cycles can't open dependency file
  179. Wed Feb 27 11:59:14 2019
  180. Wed Feb 27 11:59:14 2019
  181. Wed Feb 27 11:59:14 2019 Msieve v. 1.53 (SVN 988M)
  182. Wed Feb 27 11:59:14 2019 random seeds: 1da653c9 ad5ca939
  183. Wed Feb 27 11:59:14 2019 factoring 8018543903148353750196788956005954682494552301915054497906496145925214968024764504459237471388687289094220133374568411363868430568908584790589133084067973469725733080832111988623394996670641808296866597420952630989 (214 digits)
  184. Wed Feb 27 11:59:15 2019 searching for 15-digit factors
  185. Wed Feb 27 11:59:16 2019 commencing number field sieve (214-digit input)
  186. Wed Feb 27 11:59:16 2019 R0: 5280190234425393471901277962981122019093
  187. Wed Feb 27 11:59:16 2019 R1: -1
  188. Wed Feb 27 11:59:16 2019 A0: -1
  189. Wed Feb 27 11:59:16 2019 A1: 0
  190. Wed Feb 27 11:59:16 2019 A2: 0
  191. Wed Feb 27 11:59:16 2019 A3: 0
  192. Wed Feb 27 11:59:16 2019 A4: 0
  193. Wed Feb 27 11:59:16 2019 A5: 0
  194. Wed Feb 27 11:59:16 2019 A6: 88009573
  195. Wed Feb 27 11:59:16 2019 skew 0.05, size 1.460e-12, alpha -1.570, combined = 1.615e-13 rroots = 2
  196. Wed Feb 27 11:59:16 2019
  197. Wed Feb 27 11:59:16 2019 commencing linear algebra
  198. Wed Feb 27 11:59:22 2019 matrix starts at (0, 0)
  199. Wed Feb 27 11:59:23 2019 matrix is 14505027 x 14505204 (6647.6 MB) with weight 1950379984 (134.46/col)
  200. Wed Feb 27 11:59:23 2019 sparse part has weight 1583076240 (109.14/col)
  201. Wed Feb 27 11:59:23 2019 saving the first 48 matrix rows for later
  202. Wed Feb 27 11:59:25 2019 matrix includes 64 packed rows
  203. Wed Feb 27 11:59:27 2019 matrix is 14504979 x 14505204 (6414.2 MB) with weight 1668812845 (115.05/col)
  204. Wed Feb 27 11:59:27 2019 sparse part has weight 1536389845 (105.92/col)
  205. Wed Feb 27 11:59:27 2019 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  206. Wed Feb 27 12:00:42 2019 commencing Lanczos iteration (8 threads)
  207. Wed Feb 27 12:00:42 2019 memory use: 5424.4 MB
  208. Wed Feb 27 12:00:43 2019 restarting at iteration 30833 (dim = 1949773)
  209. Wed Feb 27 12:01:12 2019 linear algebra at 13.5%, ETA 66h24m
  210. Wed Feb 27 12:01:27 2019 checkpointing every 190000 dimensions
  211. Sat Mar 2 07:25:13 2019 lanczos halted after 229372 iterations (dim = 14504977)
  212. Sat Mar 2 07:25:26 2019 recovered 35 nontrivial dependencies
  213. Sat Mar 2 07:25:29 2019 BLanczosTime: 242773
  214. Sat Mar 2 07:25:29 2019
  215. Sat Mar 2 07:25:29 2019 commencing square root phase
  216. Sat Mar 2 07:25:29 2019 reading relations for dependency 1
  217. Sat Mar 2 07:25:32 2019 read 7255690 cycles
  218. Sat Mar 2 07:25:46 2019 cycles contain 23895384 unique relations
  219. Sat Mar 2 07:27:28 2019 read 23895384 relations
  220. Sat Mar 2 07:29:10 2019 multiplying 23895384 relations
  221. Sat Mar 2 07:55:26 2019 multiply complete, coefficients have about 1180.09 million bits
  222. Sat Mar 2 07:55:28 2019 initial square root is modulo 196663
  223. Sat Mar 2 08:22:48 2019 GCD is 1, no factor found
  224. Sat Mar 2 08:22:48 2019 reading relations for dependency 2
  225. Sat Mar 2 08:22:51 2019 read 7250863 cycles
  226. Sat Mar 2 08:23:04 2019 cycles contain 23885960 unique relations
  227. Sat Mar 2 08:24:43 2019 read 23885960 relations
  228. Sat Mar 2 08:26:24 2019 multiplying 23885960 relations
  229. Sat Mar 2 08:52:33 2019 multiply complete, coefficients have about 1179.64 million bits
  230. Sat Mar 2 08:52:36 2019 initial square root is modulo 195697
  231. Sat Mar 2 09:19:47 2019 sqrtTime: 6858
  232. Sat Mar 2 09:19:47 2019 p69 factor: 920493262060503009521527055218033462018226464068789575110135663929263
  233. Sat Mar 2 09:19:47 2019 p145 factor: 8711138075252205029488274439811173636507239255183606626566111853375456721946382737022047663834064718723234486546520704090542892068945283754126403
  234. Sat Mar 2 09:19:47 2019 elapsed time 69:20:33
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