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251__471_5m1

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Dec 31st, 2020
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  1. Wed Dec 30 18:30:28 2020
  2. Wed Dec 30 18:30:28 2020
  3. Wed Dec 30 18:30:28 2020 Msieve v. 1.54 (SVN unknown)
  4. Wed Dec 30 18:30:28 2020 random seeds: 772221f1 2dcd2739
  5. Wed Dec 30 18:30:28 2020 factoring 112739121385797192286337085265124255959166171802620245436011220643291669707249281505487175112854642920920870037546002598248890277297618523714439264043584379409241 (162 digits)
  6. Wed Dec 30 18:30:29 2020 searching for 15-digit factors
  7. Wed Dec 30 18:30:29 2020 commencing number field sieve (162-digit input)
  8. Wed Dec 30 18:30:29 2020 R0: 2512875860335346450341564541708537304033597379954471
  9. Wed Dec 30 18:30:29 2020 R1: -1
  10. Wed Dec 30 18:30:29 2020 A0: 1
  11. Wed Dec 30 18:30:29 2020 A1: 1
  12. Wed Dec 30 18:30:29 2020 A2: 1
  13. Wed Dec 30 18:30:29 2020 A3: 1
  14. Wed Dec 30 18:30:29 2020 A4: 1
  15. Wed Dec 30 18:30:29 2020 skew 1.00, size 5.636e-21, alpha 1.694, combined = 1.532e-12 rroots = 0
  16. Wed Dec 30 18:30:29 2020
  17. Wed Dec 30 18:30:29 2020 commencing relation filtering
  18. Wed Dec 30 18:30:29 2020 setting max relations to 116001000
  19. Wed Dec 30 18:30:29 2020 setting target matrix density to 132.0
  20. Wed Dec 30 18:30:29 2020 estimated available RAM is 16384.0 MB
  21. Wed Dec 30 18:30:29 2020 commencing duplicate removal, pass 1
  22. Wed Dec 30 18:33:04 2020 error -1 reading relation 43204376
  23. [ . . . deleted 2600 records - mostly -1 & -11 errors . . . ]
  24. Wed Dec 30 18:33:04 2020 error -11 reading relation 43213549
  25. Wed Dec 30 18:33:04 2020 error -11 reading relation 43213572
  26. Wed Dec 30 18:37:25 2020 skipped 169 relations with b > 2^32
  27. Wed Dec 30 18:37:25 2020 skipped 6563 relations with composite factors
  28. Wed Dec 30 18:37:25 2020 found 5832873 hash collisions in 115991634 relations
  29. Wed Dec 30 18:37:25 2020 commencing duplicate removal, pass 2
  30. Wed Dec 30 18:37:50 2020 found 0 duplicates and 115991634 unique relations
  31. Wed Dec 30 18:37:50 2020 memory use: 378.4 MB
  32. Wed Dec 30 18:37:50 2020 reading ideals above 107151360
  33. Wed Dec 30 18:37:50 2020 commencing singleton removal, initial pass
  34. Wed Dec 30 18:43:09 2020 memory use: 1506.0 MB
  35. Wed Dec 30 18:43:09 2020 reading all ideals from disk
  36. Wed Dec 30 18:43:09 2020 memory use: 1792.6 MB
  37. Wed Dec 30 18:43:11 2020 commencing in-memory singleton removal
  38. Wed Dec 30 18:43:12 2020 begin with 115991634 relations and 80618489 unique ideals
  39. Wed Dec 30 18:43:28 2020 reduce to 85569614 relations and 47746996 ideals in 12 passes
  40. Wed Dec 30 18:43:28 2020 max relations containing the same ideal: 47
  41. Wed Dec 30 18:43:31 2020 reading ideals above 720000
  42. Wed Dec 30 18:43:31 2020 commencing singleton removal, initial pass
  43. Wed Dec 30 18:48:28 2020 memory use: 1506.0 MB
  44. Wed Dec 30 18:48:28 2020 reading all ideals from disk
  45. Wed Dec 30 18:48:29 2020 memory use: 3165.4 MB
  46. Wed Dec 30 18:48:32 2020 keeping 59560855 ideals with weight <= 200, target excess is 479579
  47. Wed Dec 30 18:48:36 2020 commencing in-memory singleton removal
  48. Wed Dec 30 18:48:38 2020 begin with 85569614 relations and 59560855 unique ideals
  49. Wed Dec 30 18:48:57 2020 reduce to 85534445 relations and 59525686 ideals in 7 passes
  50. Wed Dec 30 18:48:57 2020 max relations containing the same ideal: 200
  51. Wed Dec 30 18:49:12 2020 removing 7568118 relations and 5568118 ideals in 2000000 cliques
  52. Wed Dec 30 18:49:13 2020 commencing in-memory singleton removal
  53. Wed Dec 30 18:49:16 2020 begin with 77966327 relations and 59525686 unique ideals
  54. Wed Dec 30 18:49:33 2020 reduce to 77406228 relations and 53380495 ideals in 7 passes
  55. Wed Dec 30 18:49:33 2020 max relations containing the same ideal: 198
  56. Wed Dec 30 18:49:47 2020 removing 6062129 relations and 4062129 ideals in 2000000 cliques
  57. Wed Dec 30 18:49:48 2020 commencing in-memory singleton removal
  58. Wed Dec 30 18:49:50 2020 begin with 71344099 relations and 53380495 unique ideals
  59. Wed Dec 30 18:50:06 2020 reduce to 70975105 relations and 48939703 ideals in 7 passes
  60. Wed Dec 30 18:50:06 2020 max relations containing the same ideal: 188
  61. Wed Dec 30 18:50:18 2020 removing 5657117 relations and 3657117 ideals in 2000000 cliques
  62. Wed Dec 30 18:50:19 2020 commencing in-memory singleton removal
  63. Wed Dec 30 18:50:22 2020 begin with 65317988 relations and 48939703 unique ideals
  64. Wed Dec 30 18:50:34 2020 reduce to 65003783 relations and 44959978 ideals in 6 passes
  65. Wed Dec 30 18:50:34 2020 max relations containing the same ideal: 178
  66. Wed Dec 30 18:50:45 2020 removing 5437289 relations and 3437289 ideals in 2000000 cliques
  67. Wed Dec 30 18:50:46 2020 commencing in-memory singleton removal
  68. Wed Dec 30 18:50:48 2020 begin with 59566494 relations and 44959978 unique ideals
  69. Wed Dec 30 18:50:59 2020 reduce to 59277123 relations and 41225153 ideals in 6 passes
  70. Wed Dec 30 18:50:59 2020 max relations containing the same ideal: 171
  71. Wed Dec 30 18:51:10 2020 removing 5293181 relations and 3293181 ideals in 2000000 cliques
  72. Wed Dec 30 18:51:11 2020 commencing in-memory singleton removal
  73. Wed Dec 30 18:51:13 2020 begin with 53983942 relations and 41225153 unique ideals
  74. Wed Dec 30 18:51:23 2020 reduce to 53705152 relations and 37644899 ideals in 6 passes
  75. Wed Dec 30 18:51:23 2020 max relations containing the same ideal: 161
  76. Wed Dec 30 18:51:32 2020 removing 5185524 relations and 3185524 ideals in 2000000 cliques
  77. Wed Dec 30 18:51:34 2020 commencing in-memory singleton removal
  78. Wed Dec 30 18:51:35 2020 begin with 48519628 relations and 37644899 unique ideals
  79. Wed Dec 30 18:51:44 2020 reduce to 48244016 relations and 34174960 ideals in 6 passes
  80. Wed Dec 30 18:51:44 2020 max relations containing the same ideal: 152
  81. Wed Dec 30 18:51:53 2020 removing 5099581 relations and 3099581 ideals in 2000000 cliques
  82. Wed Dec 30 18:51:54 2020 commencing in-memory singleton removal
  83. Wed Dec 30 18:51:55 2020 begin with 43144435 relations and 34174960 unique ideals
  84. Wed Dec 30 18:52:01 2020 reduce to 42866993 relations and 30788085 ideals in 5 passes
  85. Wed Dec 30 18:52:01 2020 max relations containing the same ideal: 139
  86. Wed Dec 30 18:52:09 2020 removing 5027068 relations and 3027068 ideals in 2000000 cliques
  87. Wed Dec 30 18:52:10 2020 commencing in-memory singleton removal
  88. Wed Dec 30 18:52:12 2020 begin with 37839925 relations and 30788085 unique ideals
  89. Wed Dec 30 18:52:18 2020 reduce to 37553602 relations and 27463738 ideals in 6 passes
  90. Wed Dec 30 18:52:18 2020 max relations containing the same ideal: 127
  91. Wed Dec 30 18:52:25 2020 removing 4964098 relations and 2964098 ideals in 2000000 cliques
  92. Wed Dec 30 18:52:26 2020 commencing in-memory singleton removal
  93. Wed Dec 30 18:52:27 2020 begin with 32589504 relations and 27463738 unique ideals
  94. Wed Dec 30 18:52:33 2020 reduce to 32290435 relations and 24187712 ideals in 6 passes
  95. Wed Dec 30 18:52:33 2020 max relations containing the same ideal: 114
  96. Wed Dec 30 18:52:39 2020 removing 4901844 relations and 2901844 ideals in 2000000 cliques
  97. Wed Dec 30 18:52:40 2020 commencing in-memory singleton removal
  98. Wed Dec 30 18:52:41 2020 begin with 27388591 relations and 24187712 unique ideals
  99. Wed Dec 30 18:52:45 2020 reduce to 27067808 relations and 20949459 ideals in 6 passes
  100. Wed Dec 30 18:52:45 2020 max relations containing the same ideal: 103
  101. Wed Dec 30 18:52:50 2020 removing 4841023 relations and 2841023 ideals in 2000000 cliques
  102. Wed Dec 30 18:52:51 2020 commencing in-memory singleton removal
  103. Wed Dec 30 18:52:52 2020 begin with 22226785 relations and 20949459 unique ideals
  104. Wed Dec 30 18:52:56 2020 reduce to 21870081 relations and 17731772 ideals in 6 passes
  105. Wed Dec 30 18:52:56 2020 max relations containing the same ideal: 91
  106. Wed Dec 30 18:53:00 2020 removing 4780069 relations and 2780069 ideals in 2000000 cliques
  107. Wed Dec 30 18:53:01 2020 commencing in-memory singleton removal
  108. Wed Dec 30 18:53:01 2020 begin with 17090012 relations and 17731772 unique ideals
  109. Wed Dec 30 18:53:04 2020 reduce to 16659932 relations and 14492149 ideals in 7 passes
  110. Wed Dec 30 18:53:04 2020 max relations containing the same ideal: 73
  111. Wed Dec 30 18:53:07 2020 removing 3905258 relations and 2293787 ideals in 1611471 cliques
  112. Wed Dec 30 18:53:08 2020 commencing in-memory singleton removal
  113. Wed Dec 30 18:53:08 2020 begin with 12754674 relations and 14492149 unique ideals
  114. Wed Dec 30 18:53:11 2020 reduce to 12278484 relations and 11686428 ideals in 7 passes
  115. Wed Dec 30 18:53:11 2020 max relations containing the same ideal: 60
  116. Wed Dec 30 18:53:13 2020 removing 175700 relations and 139956 ideals in 35744 cliques
  117. Wed Dec 30 18:53:13 2020 commencing in-memory singleton removal
  118. Wed Dec 30 18:53:14 2020 begin with 12102784 relations and 11686428 unique ideals
  119. Wed Dec 30 18:53:15 2020 reduce to 12100116 relations and 11543791 ideals in 5 passes
  120. Wed Dec 30 18:53:15 2020 max relations containing the same ideal: 58
  121. Wed Dec 30 18:53:16 2020 relations with 0 large ideals: 0
  122. Wed Dec 30 18:53:16 2020 relations with 1 large ideals: 11021
  123. Wed Dec 30 18:53:16 2020 relations with 2 large ideals: 147935
  124. Wed Dec 30 18:53:16 2020 relations with 3 large ideals: 779335
  125. Wed Dec 30 18:53:16 2020 relations with 4 large ideals: 2095945
  126. Wed Dec 30 18:53:16 2020 relations with 5 large ideals: 3247782
  127. Wed Dec 30 18:53:16 2020 relations with 6 large ideals: 3083658
  128. Wed Dec 30 18:53:16 2020 relations with 7+ large ideals: 2734440
  129. Wed Dec 30 18:53:16 2020 commencing 2-way merge
  130. Wed Dec 30 18:53:19 2020 reduce to 8883222 relation sets and 8326897 unique ideals
  131. Wed Dec 30 18:53:19 2020 commencing full merge
  132. Wed Dec 30 18:54:55 2020 memory use: 996.2 MB
  133. Wed Dec 30 18:54:56 2020 found 3758733 cycles, need 3735097
  134. Wed Dec 30 18:54:56 2020 weight of 3735097 cycles is about 493934582 (132.24/cycle)
  135. Wed Dec 30 18:54:56 2020 distribution of cycle lengths:
  136. Wed Dec 30 18:54:56 2020 1 relations: 39619
  137. Wed Dec 30 18:54:56 2020 2 relations: 156953
  138. Wed Dec 30 18:54:56 2020 3 relations: 229593
  139. Wed Dec 30 18:54:56 2020 4 relations: 267289
  140. Wed Dec 30 18:54:56 2020 5 relations: 298440
  141. Wed Dec 30 18:54:56 2020 6 relations: 303361
  142. Wed Dec 30 18:54:56 2020 7 relations: 302193
  143. Wed Dec 30 18:54:56 2020 8 relations: 285129
  144. Wed Dec 30 18:54:56 2020 9 relations: 264594
  145. Wed Dec 30 18:54:56 2020 10+ relations: 1587926
  146. Wed Dec 30 18:54:56 2020 heaviest cycle: 28 relations
  147. Wed Dec 30 18:54:57 2020 commencing cycle optimization
  148. Wed Dec 30 18:55:01 2020 start with 35353283 relations
  149. Wed Dec 30 18:55:52 2020 pruned 2353456 relations
  150. Wed Dec 30 18:55:52 2020 memory use: 862.7 MB
  151. Wed Dec 30 18:55:52 2020 distribution of cycle lengths:
  152. Wed Dec 30 18:55:52 2020 1 relations: 39619
  153. Wed Dec 30 18:55:52 2020 2 relations: 163225
  154. Wed Dec 30 18:55:52 2020 3 relations: 243060
  155. Wed Dec 30 18:55:52 2020 4 relations: 285018
  156. Wed Dec 30 18:55:52 2020 5 relations: 322642
  157. Wed Dec 30 18:55:52 2020 6 relations: 328156
  158. Wed Dec 30 18:55:52 2020 7 relations: 328509
  159. Wed Dec 30 18:55:52 2020 8 relations: 306192
  160. Wed Dec 30 18:55:52 2020 9 relations: 282166
  161. Wed Dec 30 18:55:52 2020 10+ relations: 1436510
  162. Wed Dec 30 18:55:52 2020 heaviest cycle: 28 relations
  163. Wed Dec 30 18:55:56 2020 RelProcTime: 1527
  164. Wed Dec 30 18:55:56 2020
  165. Wed Dec 30 18:55:56 2020 commencing linear algebra
  166. Wed Dec 30 18:55:57 2020 read 3735097 cycles
  167. Wed Dec 30 18:56:00 2020 cycles contain 11861664 unique relations
  168. Wed Dec 30 18:56:33 2020 read 11861664 relations
  169. Wed Dec 30 18:56:48 2020 using 20 quadratic characters above 4294917295
  170. Wed Dec 30 18:57:16 2020 building initial matrix
  171. Wed Dec 30 18:58:33 2020 memory use: 1521.6 MB
  172. Wed Dec 30 18:58:35 2020 read 3735097 cycles
  173. Wed Dec 30 18:58:35 2020 matrix is 3734920 x 3735097 (1848.4 MB) with weight 528994745 (141.63/col)
  174. Wed Dec 30 18:58:35 2020 sparse part has weight 443460404 (118.73/col)
  175. Wed Dec 30 18:58:58 2020 filtering completed in 2 passes
  176. Wed Dec 30 18:58:58 2020 matrix is 3734850 x 3735027 (1848.4 MB) with weight 528991576 (141.63/col)
  177. Wed Dec 30 18:58:58 2020 sparse part has weight 443458847 (118.73/col)
  178. Wed Dec 30 18:59:04 2020 matrix starts at (0, 0)
  179. Wed Dec 30 18:59:05 2020 matrix is 3734850 x 3735027 (1848.4 MB) with weight 528991576 (141.63/col)
  180. Wed Dec 30 18:59:05 2020 sparse part has weight 443458847 (118.73/col)
  181. Wed Dec 30 18:59:05 2020 saving the first 48 matrix rows for later
  182. Wed Dec 30 18:59:05 2020 matrix includes 64 packed rows
  183. Wed Dec 30 18:59:05 2020 matrix is 3734802 x 3735027 (1765.4 MB) with weight 457043442 (122.37/col)
  184. Wed Dec 30 18:59:05 2020 sparse part has weight 425448959 (113.91/col)
  185. Wed Dec 30 18:59:05 2020 using block size 8192 and superblock size 49152 for processor cache size 512 kB
  186. Wed Dec 30 18:59:17 2020 commencing Lanczos iteration (4 threads)
  187. Wed Dec 30 18:59:17 2020 memory use: 1653.1 MB
  188. Wed Dec 30 18:59:25 2020 linear algebra at 0.0%, ETA 5h27m
  189. Wed Dec 30 18:59:28 2020 checkpointing every 670000 dimensions
  190. Thu Dec 31 01:08:29 2020 lanczos halted after 59067 iterations (dim = 3734797)
  191. Thu Dec 31 01:08:33 2020 recovered 36 nontrivial dependencies
  192. Thu Dec 31 01:08:33 2020 BLanczosTime: 22357
  193. Thu Dec 31 01:08:33 2020
  194. Thu Dec 31 01:08:33 2020 commencing square root phase
  195. Thu Dec 31 01:08:33 2020 handling dependencies 1 to 64
  196. Thu Dec 31 01:08:33 2020 reading relations for dependency 1
  197. Thu Dec 31 01:08:34 2020 read 1867672 cycles
  198. Thu Dec 31 01:08:35 2020 cycles contain 5930716 unique relations
  199. Thu Dec 31 01:08:56 2020 read 5930716 relations
  200. Thu Dec 31 01:09:09 2020 multiplying 5930716 relations
  201. Thu Dec 31 01:10:08 2020 multiply complete, coefficients have about 149.17 million bits
  202. Thu Dec 31 01:10:08 2020 initial square root is modulo 225583
  203. Thu Dec 31 01:11:14 2020 sqrtTime: 161
  204. Thu Dec 31 01:11:14 2020 p71 factor: 73880615170857723895032598579993382245853880628937409555960991487715071
  205. Thu Dec 31 01:11:14 2020 p91 factor: 1525963490221007819172266697095714144984085070518318729122326239319714134269088177367375271
  206. Thu Dec 31 01:11:14 2020 elapsed time 06:40:46
  207.  
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