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Nov 24th, 2020
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  1. Mon Nov 9 20:40:46 2020
  2. Mon Nov 9 20:40:46 2020
  3. Mon Nov 9 20:40:46 2020 Msieve v. 1.54 (SVN 1025)
  4. Mon Nov 9 20:40:46 2020 random seeds: f35171bc 640f4865
  5. Mon Nov 9 20:40:46 2020 factoring 5106779842792370240181067192072204352425116716346569306211741987588954584764572261367308394020381398755679298607148857036959847835628088449878193644411500629064499063181514446616993 (181 digits)
  6. Mon Nov 9 20:40:47 2020 searching for 15-digit factors
  7. Mon Nov 9 20:40:48 2020 commencing number field sieve (181-digit input)
  8. Mon Nov 9 20:40:48 2020 R0: -54931641522488708978221916725806587
  9. Mon Nov 9 20:40:48 2020 R1: 56468906665359823
  10. Mon Nov 9 20:40:48 2020 A0: 19550342507396081457169452085534511370017640
  11. Mon Nov 9 20:40:48 2020 A1: 6859013645363943022358097959307292638
  12. Mon Nov 9 20:40:48 2020 A2: -1060942521202000765536033680197
  13. Mon Nov 9 20:40:48 2020 A3: 12660304850407763595079
  14. Mon Nov 9 20:40:48 2020 A4: 1202554393945995
  15. Mon Nov 9 20:40:48 2020 A5: 10210200
  16. Mon Nov 9 20:40:48 2020 skew 28946584.29, size 1.035e-17, alpha -7.790, combined = 7.090e-14 rroots = 5
  17. Mon Nov 9 20:40:48 2020
  18. Mon Nov 9 20:40:48 2020 commencing relation filtering
  19. Mon Nov 9 20:40:48 2020 setting target matrix density to 132.0
  20. Mon Nov 9 20:40:48 2020 estimated available RAM is 16007.4 MB
  21. Mon Nov 9 20:40:48 2020 commencing duplicate removal, pass 1
  22. Mon Nov 9 20:43:15 2020 error -15 reading relation 20295018
  23. Mon Nov 9 20:48:44 2020 error -15 reading relation 65532423
  24. Mon Nov 9 20:52:28 2020 error -1 reading relation 96125700
  25. Mon Nov 9 20:58:20 2020 error -15 reading relation 132341114
  26. Mon Nov 9 21:01:42 2020 error -15 reading relation 154434785
  27. Mon Nov 9 21:02:22 2020 error -15 reading relation 158606909
  28. Mon Nov 9 21:07:26 2020 error -15 reading relation 190509082
  29. Mon Nov 9 21:07:28 2020 error -15 reading relation 190685698
  30. Mon Nov 9 21:07:29 2020 error -15 reading relation 190766485
  31. Mon Nov 9 21:07:46 2020 error -15 reading relation 192662706
  32. Mon Nov 9 21:08:01 2020 skipped 4 relations with composite factors
  33. Mon Nov 9 21:08:01 2020 found 8313962 hash collisions in 194284793 relations
  34. Mon Nov 9 21:08:35 2020 commencing duplicate removal, pass 2
  35. Mon Nov 9 21:10:29 2020 found 40326 duplicates and 194244467 unique relations
  36. Mon Nov 9 21:10:29 2020 memory use: 522.4 MB
  37. Mon Nov 9 21:10:29 2020 reading ideals above 134021120
  38. Mon Nov 9 21:10:29 2020 commencing singleton removal, initial pass
  39. Mon Nov 9 21:32:21 2020 memory use: 3012.0 MB
  40. Mon Nov 9 21:32:21 2020 reading all ideals from disk
  41. Mon Nov 9 21:32:30 2020 memory use: 4004.7 MB
  42. Mon Nov 9 21:32:40 2020 commencing in-memory singleton removal
  43. Mon Nov 9 21:32:49 2020 begin with 194244467 relations and 162738966 unique ideals
  44. Mon Nov 9 21:34:52 2020 reduce to 135431336 relations and 98696625 ideals in 14 passes
  45. Mon Nov 9 21:34:52 2020 max relations containing the same ideal: 34
  46. Mon Nov 9 21:35:01 2020 reading ideals above 720000
  47. Mon Nov 9 21:35:01 2020 commencing singleton removal, initial pass
  48. Mon Nov 9 21:55:32 2020 memory use: 3012.0 MB
  49. Mon Nov 9 21:55:32 2020 reading all ideals from disk
  50. Mon Nov 9 21:55:47 2020 memory use: 5624.8 MB
  51. Mon Nov 9 21:56:07 2020 keeping 113165783 ideals with weight <= 200, target excess is 719506
  52. Mon Nov 9 21:56:30 2020 commencing in-memory singleton removal
  53. Mon Nov 9 21:56:45 2020 begin with 135431338 relations and 113165783 unique ideals
  54. Mon Nov 9 21:57:34 2020 reduce to 135431313 relations and 113165757 ideals in 3 passes
  55. Mon Nov 9 21:57:34 2020 max relations containing the same ideal: 200
  56. Mon Nov 9 21:58:46 2020 removing 10239617 relations and 8239617 ideals in 2000000 cliques
  57. Mon Nov 9 21:58:50 2020 commencing in-memory singleton removal
  58. Mon Nov 9 21:59:04 2020 begin with 125191696 relations and 113165757 unique ideals
  59. Mon Nov 9 22:00:40 2020 reduce to 124620512 relations and 104344251 ideals in 7 passes
  60. Mon Nov 9 22:00:40 2020 max relations containing the same ideal: 197
  61. Mon Nov 9 22:01:46 2020 removing 7871633 relations and 5871633 ideals in 2000000 cliques
  62. Mon Nov 9 22:01:50 2020 commencing in-memory singleton removal
  63. Mon Nov 9 22:01:58 2020 begin with 116748879 relations and 104344251 unique ideals
  64. Mon Nov 9 22:03:33 2020 reduce to 116371492 relations and 98089113 ideals in 8 passes
  65. Mon Nov 9 22:03:33 2020 max relations containing the same ideal: 191
  66. Mon Nov 9 22:04:14 2020 removing 7144054 relations and 5144054 ideals in 2000000 cliques
  67. Mon Nov 9 22:04:17 2020 commencing in-memory singleton removal
  68. Mon Nov 9 22:04:24 2020 begin with 109227438 relations and 98089113 unique ideals
  69. Mon Nov 9 22:05:17 2020 reduce to 108896082 relations and 92608190 ideals in 6 passes
  70. Mon Nov 9 22:05:17 2020 max relations containing the same ideal: 183
  71. Mon Nov 9 22:06:06 2020 removing 6769145 relations and 4769145 ideals in 2000000 cliques
  72. Mon Nov 9 22:06:09 2020 commencing in-memory singleton removal
  73. Mon Nov 9 22:06:18 2020 begin with 102126937 relations and 92608190 unique ideals
  74. Mon Nov 9 22:07:26 2020 reduce to 101817671 relations and 87524588 ideals in 7 passes
  75. Mon Nov 9 22:07:26 2020 max relations containing the same ideal: 176
  76. Mon Nov 9 22:08:11 2020 removing 6529431 relations and 4529431 ideals in 2000000 cliques
  77. Mon Nov 9 22:08:14 2020 commencing in-memory singleton removal
  78. Mon Nov 9 22:08:22 2020 begin with 95288240 relations and 87524588 unique ideals
  79. Mon Nov 9 22:09:15 2020 reduce to 94986730 relations and 82688147 ideals in 7 passes
  80. Mon Nov 9 22:09:15 2020 max relations containing the same ideal: 167
  81. Mon Nov 9 22:09:55 2020 removing 6367253 relations and 4367253 ideals in 2000000 cliques
  82. Mon Nov 9 22:09:57 2020 commencing in-memory singleton removal
  83. Mon Nov 9 22:10:04 2020 begin with 88619477 relations and 82688147 unique ideals
  84. Mon Nov 9 22:10:51 2020 reduce to 88319065 relations and 78014866 ideals in 6 passes
  85. Mon Nov 9 22:10:51 2020 max relations containing the same ideal: 160
  86. Mon Nov 9 22:11:30 2020 removing 6256648 relations and 4256648 ideals in 2000000 cliques
  87. Mon Nov 9 22:11:33 2020 commencing in-memory singleton removal
  88. Mon Nov 9 22:11:40 2020 begin with 82062417 relations and 78014866 unique ideals
  89. Mon Nov 9 22:12:32 2020 reduce to 81754391 relations and 73444294 ideals in 7 passes
  90. Mon Nov 9 22:12:32 2020 max relations containing the same ideal: 152
  91. Mon Nov 9 22:13:10 2020 removing 6182152 relations and 4182152 ideals in 2000000 cliques
  92. Mon Nov 9 22:13:13 2020 commencing in-memory singleton removal
  93. Mon Nov 9 22:13:19 2020 begin with 75572239 relations and 73444294 unique ideals
  94. Mon Nov 9 22:14:09 2020 reduce to 75248439 relations and 68931529 ideals in 7 passes
  95. Mon Nov 9 22:14:09 2020 max relations containing the same ideal: 144
  96. Mon Nov 9 22:14:44 2020 removing 6145512 relations and 4145512 ideals in 2000000 cliques
  97. Mon Nov 9 22:14:46 2020 commencing in-memory singleton removal
  98. Mon Nov 9 22:14:51 2020 begin with 69102927 relations and 68931529 unique ideals
  99. Mon Nov 9 22:15:49 2020 reduce to 68753341 relations and 64428497 ideals in 9 passes
  100. Mon Nov 9 22:15:49 2020 max relations containing the same ideal: 136
  101. Mon Nov 9 22:16:22 2020 removing 6145713 relations and 4145713 ideals in 2000000 cliques
  102. Mon Nov 9 22:16:25 2020 commencing in-memory singleton removal
  103. Mon Nov 9 22:16:29 2020 begin with 62607628 relations and 64428497 unique ideals
  104. Mon Nov 9 22:17:10 2020 reduce to 62217280 relations and 59883003 ideals in 7 passes
  105. Mon Nov 9 22:17:10 2020 max relations containing the same ideal: 127
  106. Mon Nov 9 22:17:41 2020 removing 4878026 relations and 3378376 ideals in 1499650 cliques
  107. Mon Nov 9 22:17:44 2020 commencing in-memory singleton removal
  108. Mon Nov 9 22:17:49 2020 begin with 57339254 relations and 59883003 unique ideals
  109. Mon Nov 9 22:18:26 2020 reduce to 57059818 relations and 56219190 ideals in 7 passes
  110. Mon Nov 9 22:18:26 2020 max relations containing the same ideal: 120
  111. Mon Nov 9 22:19:05 2020 relations with 0 large ideals: 2041
  112. Mon Nov 9 22:19:05 2020 relations with 1 large ideals: 5438
  113. Mon Nov 9 22:19:05 2020 relations with 2 large ideals: 73177
  114. Mon Nov 9 22:19:05 2020 relations with 3 large ideals: 613603
  115. Mon Nov 9 22:19:05 2020 relations with 4 large ideals: 2817891
  116. Mon Nov 9 22:19:05 2020 relations with 5 large ideals: 7802672
  117. Mon Nov 9 22:19:05 2020 relations with 6 large ideals: 13700923
  118. Mon Nov 9 22:19:05 2020 relations with 7+ large ideals: 32044073
  119. Mon Nov 9 22:19:05 2020 commencing 2-way merge
  120. Mon Nov 9 22:19:41 2020 reduce to 40937604 relation sets and 40096976 unique ideals
  121. Mon Nov 9 22:19:41 2020 commencing full merge
  122. Mon Nov 9 22:36:56 2020 memory use: 4908.2 MB
  123. Mon Nov 9 22:37:00 2020 found 17746491 cycles, need 17727176
  124. Mon Nov 9 22:37:05 2020 weight of 17727176 cycles is about 2340669711 (132.04/cycle)
  125. Mon Nov 9 22:37:05 2020 distribution of cycle lengths:
  126. Mon Nov 9 22:37:05 2020 1 relations: 409319
  127. Mon Nov 9 22:37:05 2020 2 relations: 902067
  128. Mon Nov 9 22:37:05 2020 3 relations: 1193096
  129. Mon Nov 9 22:37:05 2020 4 relations: 1296182
  130. Mon Nov 9 22:37:05 2020 5 relations: 1382425
  131. Mon Nov 9 22:37:05 2020 6 relations: 1386178
  132. Mon Nov 9 22:37:05 2020 7 relations: 1365825
  133. Mon Nov 9 22:37:05 2020 8 relations: 1307926
  134. Mon Nov 9 22:37:05 2020 9 relations: 1224194
  135. Mon Nov 9 22:37:05 2020 10+ relations: 7259964
  136. Mon Nov 9 22:37:05 2020 heaviest cycle: 28 relations
  137. Mon Nov 9 22:37:11 2020 commencing cycle optimization
  138. Mon Nov 9 22:37:46 2020 start with 160921184 relations
  139. Mon Nov 9 22:43:46 2020 pruned 9080102 relations
  140. Mon Nov 9 22:43:46 2020 memory use: 4043.8 MB
  141. Mon Nov 9 22:43:47 2020 distribution of cycle lengths:
  142. Mon Nov 9 22:43:47 2020 1 relations: 409319
  143. Mon Nov 9 22:43:47 2020 2 relations: 933493
  144. Mon Nov 9 22:43:47 2020 3 relations: 1258881
  145. Mon Nov 9 22:43:47 2020 4 relations: 1370065
  146. Mon Nov 9 22:43:47 2020 5 relations: 1474090
  147. Mon Nov 9 22:43:47 2020 6 relations: 1476284
  148. Mon Nov 9 22:43:47 2020 7 relations: 1457008
  149. Mon Nov 9 22:43:47 2020 8 relations: 1386753
  150. Mon Nov 9 22:43:47 2020 9 relations: 1292782
  151. Mon Nov 9 22:43:47 2020 10+ relations: 6668501
  152. Mon Nov 9 22:43:47 2020 heaviest cycle: 28 relations
  153. Mon Nov 9 22:44:16 2020 RelProcTime: 7408
  154. Mon Nov 9 22:44:16 2020
  155. Mon Nov 9 22:44:16 2020 commencing linear algebra
  156. Mon Nov 9 22:44:24 2020 read 17727176 cycles
  157. Mon Nov 9 22:44:58 2020 cycles contain 56642810 unique relations
  158. Mon Nov 9 22:49:34 2020 read 56642810 relations
  159. Mon Nov 9 22:51:15 2020 using 20 quadratic characters above 4294917295
  160. Mon Nov 9 22:54:49 2020 building initial matrix
  161. Mon Nov 9 23:06:59 2020 memory use: 8130.1 MB
  162. Mon Nov 9 23:07:13 2020 read 17727176 cycles
  163. Mon Nov 9 23:07:16 2020 matrix is 17726998 x 17727176 (8977.4 MB) with weight 2751795489 (155.23/col)
  164. Mon Nov 9 23:07:16 2020 sparse part has weight 2140650347 (120.76/col)
  165. Mon Nov 9 23:11:23 2020 filtering completed in 2 passes
  166. Mon Nov 9 23:11:27 2020 matrix is 17726929 x 17727106 (8977.4 MB) with weight 2751792351 (155.23/col)
  167. Mon Nov 9 23:11:27 2020 sparse part has weight 2140649703 (120.76/col)
  168. Mon Nov 9 23:12:45 2020 matrix starts at (0, 0)
  169. Mon Nov 9 23:12:48 2020 matrix is 17726929 x 17727106 (8977.4 MB) with weight 2751792351 (155.23/col)
  170. Mon Nov 9 23:12:48 2020 sparse part has weight 2140649703 (120.76/col)
  171. Mon Nov 9 23:12:48 2020 saving the first 48 matrix rows for later
  172. Mon Nov 9 23:12:51 2020 matrix includes 64 packed rows
  173. Mon Nov 9 23:12:54 2020 matrix is 17726881 x 17727106 (8775.1 MB) with weight 2375830375 (134.02/col)
  174. Mon Nov 9 23:12:54 2020 sparse part has weight 2123059086 (119.76/col)
  175. Mon Nov 9 23:12:54 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  176. Mon Nov 9 23:14:09 2020 commencing Lanczos iteration (4 threads)
  177. Mon Nov 9 23:14:09 2020 memory use: 8266.8 MB
  178. Mon Nov 9 23:15:59 2020 linear algebra at 0.0%, ETA 345h24m
  179. Mon Nov 9 23:16:34 2020 checkpointing every 60000 dimensions
  180. Mon Nov 23 07:17:02 2020 lanczos halted after 280329 iterations (dim = 17726880)
  181. Mon Nov 23 07:17:28 2020 recovered 31 nontrivial dependencies
  182. Mon Nov 23 07:17:28 2020 BLanczosTime: 1153992
  183. Mon Nov 23 07:17:28 2020
  184. Mon Nov 23 07:17:28 2020 commencing square root phase
  185. Mon Nov 23 07:17:28 2020 handling dependencies 1 to 64
  186. Mon Nov 23 07:17:28 2020 reading relations for dependency 1
  187. Mon Nov 23 07:17:30 2020 read 8864187 cycles
  188. Mon Nov 23 07:17:45 2020 cycles contain 28321500 unique relations
  189. Mon Nov 23 07:20:14 2020 read 28321500 relations
  190. Mon Nov 23 07:22:14 2020 multiplying 28321500 relations
  191. Mon Nov 23 07:58:08 2020 multiply complete, coefficients have about 1773.41 million bits
  192. Mon Nov 23 07:58:16 2020 initial square root is modulo 90164059
  193. Mon Nov 23 08:38:30 2020 sqrtTime: 4862
  194. Mon Nov 23 08:38:30 2020 p76 factor: 2591985522785094027728418963176410108368253613313707193012892374986507260879
  195. Mon Nov 23 08:38:30 2020 p106 factor: 1970219277037135723809729132858674051317020272466129545218756242903099405325018410303759143946166328493967
  196. Mon Nov 23 08:38:30 2020 elapsed time 323:57:44
  197.  
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