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13_2_875m1

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Jan 30th, 2021
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  1. Sun Jan 24 08:46:40 2021
  2. Sun Jan 24 08:46:40 2021
  3. Sun Jan 24 08:46:40 2021 Msieve v. 1.54 (SVN 1028)
  4. Sun Jan 24 08:46:40 2021 random seeds: c83f13d1 84ade4f6
  5. Sun Jan 24 08:46:40 2021 factoring 240866437725169990435961145869700978148638973131500627154459277995207161586111018965696779698382676903650395902770674542234980927906435470377593973397210397595151381518023436309800144471706314282870511294518800271 (213 digits)
  6. Sun Jan 24 08:46:41 2021 no P-1/P+1/ECM available, skipping
  7. Sun Jan 24 08:46:41 2021 commencing number field sieve (213-digit input)
  8. Sun Jan 24 08:46:41 2021 R0: 89202980794122492566142873090593446023921664
  9. Sun Jan 24 08:46:41 2021 R1: -1
  10. Sun Jan 24 08:46:41 2021 A0: -2
  11. Sun Jan 24 08:46:41 2021 A1: 0
  12. Sun Jan 24 08:46:41 2021 A2: 0
  13. Sun Jan 24 08:46:41 2021 A3: 0
  14. Sun Jan 24 08:46:41 2021 A4: 0
  15. Sun Jan 24 08:46:41 2021 A5: 0
  16. Sun Jan 24 08:46:41 2021 A6: 13
  17. Sun Jan 24 08:46:41 2021 skew 0.73, size 5.596e-13, alpha 0.936, combined = 7.383e-14 rroots = 2
  18. Sun Jan 24 08:46:41 2021
  19. Sun Jan 24 08:46:41 2021 commencing relation filtering
  20. Sun Jan 24 08:46:41 2021 setting target matrix density to 112.0
  21. Sun Jan 24 08:46:41 2021 estimated available RAM is 31953.2 MB
  22. Sun Jan 24 08:46:41 2021 commencing duplicate removal, pass 1
  23. Sun Jan 24 09:03:32 2021 error -15 reading relation 100667564
  24. Sun Jan 24 09:11:55 2021 error -11 reading relation 150641067
  25. Sun Jan 24 09:20:50 2021 error -11 reading relation 203735857
  26. Sun Jan 24 09:22:34 2021 error -15 reading relation 214218237
  27. Sun Jan 24 09:26:43 2021 error -5 reading relation 238677151
  28. Sun Jan 24 09:27:31 2021 error -1 reading relation 243419863
  29. Sun Jan 24 09:27:37 2021 error -15 reading relation 243990318
  30. Sun Jan 24 09:27:37 2021 error -15 reading relation 243993894
  31. Sun Jan 24 09:27:37 2021 error -15 reading relation 243998312
  32. Sun Jan 24 09:29:24 2021 skipped 1432 relations with b > 2^32
  33. Sun Jan 24 09:29:24 2021 skipped 4 relations with composite factors
  34. Sun Jan 24 09:29:24 2021 found 14004890 hash collisions in 254787201 relations
  35. Sun Jan 24 09:29:43 2021 added 1219221 free relations
  36. Sun Jan 24 09:29:43 2021 commencing duplicate removal, pass 2
  37. Sun Jan 24 09:31:19 2021 found 0 duplicates and 256006422 unique relations
  38. Sun Jan 24 09:31:19 2021 memory use: 788.8 MB
  39. Sun Jan 24 09:31:19 2021 reading ideals above 159973376
  40. Sun Jan 24 09:31:19 2021 commencing singleton removal, initial pass
  41. Sun Jan 24 10:03:19 2021 memory use: 6024.0 MB
  42. Sun Jan 24 10:03:19 2021 reading all ideals from disk
  43. Sun Jan 24 10:03:26 2021 memory use: 4782.0 MB
  44. Sun Jan 24 10:03:43 2021 commencing in-memory singleton removal
  45. Sun Jan 24 10:03:59 2021 begin with 256006422 relations and 229499262 unique ideals
  46. Sun Jan 24 10:06:59 2021 reduce to 152961282 relations and 114911378 ideals in 16 passes
  47. Sun Jan 24 10:06:59 2021 max relations containing the same ideal: 45
  48. Sun Jan 24 10:07:11 2021 reading ideals above 720000
  49. Sun Jan 24 10:07:12 2021 commencing singleton removal, initial pass
  50. Sun Jan 24 10:32:19 2021 memory use: 3012.0 MB
  51. Sun Jan 24 10:32:19 2021 reading all ideals from disk
  52. Sun Jan 24 10:32:28 2021 memory use: 6332.6 MB
  53. Sun Jan 24 10:32:56 2021 keeping 132051058 ideals with weight <= 200, target excess is 804944
  54. Sun Jan 24 10:33:24 2021 commencing in-memory singleton removal
  55. Sun Jan 24 10:33:46 2021 begin with 152961282 relations and 132051058 unique ideals
  56. Sun Jan 24 10:35:54 2021 reduce to 152960524 relations and 132050300 ideals in 6 passes
  57. Sun Jan 24 10:35:54 2021 max relations containing the same ideal: 200
  58. Sun Jan 24 10:37:44 2021 removing 12897656 relations and 10897656 ideals in 2000000 cliques
  59. Sun Jan 24 10:37:49 2021 commencing in-memory singleton removal
  60. Sun Jan 24 10:38:10 2021 begin with 140062868 relations and 132050300 unique ideals
  61. Sun Jan 24 10:41:04 2021 reduce to 139183293 relations and 120257803 ideals in 9 passes
  62. Sun Jan 24 10:41:04 2021 max relations containing the same ideal: 196
  63. Sun Jan 24 10:42:44 2021 removing 9831769 relations and 7831769 ideals in 2000000 cliques
  64. Sun Jan 24 10:42:48 2021 commencing in-memory singleton removal
  65. Sun Jan 24 10:43:07 2021 begin with 129351524 relations and 120257803 unique ideals
  66. Sun Jan 24 10:45:24 2021 reduce to 128769638 relations and 111835456 ideals in 8 passes
  67. Sun Jan 24 10:45:24 2021 max relations containing the same ideal: 190
  68. Sun Jan 24 10:46:56 2021 removing 8901322 relations and 6901322 ideals in 2000000 cliques
  69. Sun Jan 24 10:47:00 2021 commencing in-memory singleton removal
  70. Sun Jan 24 10:47:17 2021 begin with 119868316 relations and 111835456 unique ideals
  71. Sun Jan 24 10:49:23 2021 reduce to 119349934 relations and 104407874 ideals in 8 passes
  72. Sun Jan 24 10:49:23 2021 max relations containing the same ideal: 184
  73. Sun Jan 24 10:50:47 2021 removing 8430275 relations and 6430275 ideals in 2000000 cliques
  74. Sun Jan 24 10:50:52 2021 commencing in-memory singleton removal
  75. Sun Jan 24 10:51:07 2021 begin with 110919659 relations and 104407874 unique ideals
  76. Sun Jan 24 10:53:04 2021 reduce to 110420155 relations and 97470348 ideals in 8 passes
  77. Sun Jan 24 10:53:04 2021 max relations containing the same ideal: 176
  78. Sun Jan 24 10:54:23 2021 removing 8155174 relations and 6155174 ideals in 2000000 cliques
  79. Sun Jan 24 10:54:26 2021 commencing in-memory singleton removal
  80. Sun Jan 24 10:54:40 2021 begin with 102264981 relations and 97470348 unique ideals
  81. Sun Jan 24 10:56:23 2021 reduce to 101762881 relations and 90804904 ideals in 8 passes
  82. Sun Jan 24 10:56:23 2021 max relations containing the same ideal: 164
  83. Sun Jan 24 10:57:35 2021 removing 7986407 relations and 5986407 ideals in 2000000 cliques
  84. Sun Jan 24 10:57:38 2021 commencing in-memory singleton removal
  85. Sun Jan 24 10:57:51 2021 begin with 93776474 relations and 90804904 unique ideals
  86. Sun Jan 24 10:59:16 2021 reduce to 93255902 relations and 84288751 ideals in 7 passes
  87. Sun Jan 24 10:59:16 2021 max relations containing the same ideal: 157
  88. Sun Jan 24 11:00:24 2021 removing 7895012 relations and 5895012 ideals in 2000000 cliques
  89. Sun Jan 24 11:00:27 2021 commencing in-memory singleton removal
  90. Sun Jan 24 11:00:39 2021 begin with 85360890 relations and 84288751 unique ideals
  91. Sun Jan 24 11:02:08 2021 reduce to 84809834 relations and 77832320 ideals in 8 passes
  92. Sun Jan 24 11:02:08 2021 max relations containing the same ideal: 147
  93. Sun Jan 24 11:03:11 2021 removing 7863444 relations and 5863444 ideals in 2000000 cliques
  94. Sun Jan 24 11:03:15 2021 commencing in-memory singleton removal
  95. Sun Jan 24 11:03:25 2021 begin with 76946390 relations and 77832320 unique ideals
  96. Sun Jan 24 11:05:03 2021 reduce to 76346228 relations and 71356454 ideals in 10 passes
  97. Sun Jan 24 11:05:03 2021 max relations containing the same ideal: 140
  98. Sun Jan 24 11:06:01 2021 removing 7874697 relations and 5874697 ideals in 2000000 cliques
  99. Sun Jan 24 11:06:04 2021 commencing in-memory singleton removal
  100. Sun Jan 24 11:06:13 2021 begin with 68471531 relations and 71356454 unique ideals
  101. Sun Jan 24 11:07:40 2021 reduce to 67802567 relations and 64797643 ideals in 10 passes
  102. Sun Jan 24 11:07:40 2021 max relations containing the same ideal: 126
  103. Sun Jan 24 11:08:33 2021 removing 7939665 relations and 5939665 ideals in 2000000 cliques
  104. Sun Jan 24 11:08:36 2021 commencing in-memory singleton removal
  105. Sun Jan 24 11:08:43 2021 begin with 59862902 relations and 64797643 unique ideals
  106. Sun Jan 24 11:09:57 2021 reduce to 59088448 relations and 58064036 ideals in 10 passes
  107. Sun Jan 24 11:09:57 2021 max relations containing the same ideal: 118
  108. Sun Jan 24 11:10:41 2021 removing 648195 relations and 557519 ideals in 90676 cliques
  109. Sun Jan 24 11:10:43 2021 commencing in-memory singleton removal
  110. Sun Jan 24 11:10:50 2021 begin with 58440253 relations and 58064036 unique ideals
  111. Sun Jan 24 11:11:33 2021 reduce to 58435721 relations and 57501976 ideals in 6 passes
  112. Sun Jan 24 11:11:33 2021 max relations containing the same ideal: 116
  113. Sun Jan 24 11:11:50 2021 relations with 0 large ideals: 28949
  114. Sun Jan 24 11:11:50 2021 relations with 1 large ideals: 6268
  115. Sun Jan 24 11:11:50 2021 relations with 2 large ideals: 95524
  116. Sun Jan 24 11:11:50 2021 relations with 3 large ideals: 753926
  117. Sun Jan 24 11:11:50 2021 relations with 4 large ideals: 3273923
  118. Sun Jan 24 11:11:50 2021 relations with 5 large ideals: 8591601
  119. Sun Jan 24 11:11:50 2021 relations with 6 large ideals: 14209033
  120. Sun Jan 24 11:11:50 2021 relations with 7+ large ideals: 31476497
  121. Sun Jan 24 11:11:50 2021 commencing 2-way merge
  122. Sun Jan 24 11:12:45 2021 reduce to 37071508 relation sets and 36137763 unique ideals
  123. Sun Jan 24 11:12:45 2021 commencing full merge
  124. Sun Jan 24 11:32:48 2021 memory use: 4741.8 MB
  125. Sun Jan 24 11:32:52 2021 found 16984065 cycles, need 16933963
  126. Sun Jan 24 11:32:59 2021 weight of 16933963 cycles is about 1897042594 (112.03/cycle)
  127. Sun Jan 24 11:32:59 2021 distribution of cycle lengths:
  128. Sun Jan 24 11:32:59 2021 1 relations: 1304971
  129. Sun Jan 24 11:32:59 2021 2 relations: 1326565
  130. Sun Jan 24 11:32:59 2021 3 relations: 1357729
  131. Sun Jan 24 11:32:59 2021 4 relations: 1312088
  132. Sun Jan 24 11:32:59 2021 5 relations: 1279743
  133. Sun Jan 24 11:32:59 2021 6 relations: 1235199
  134. Sun Jan 24 11:32:59 2021 7 relations: 1167355
  135. Sun Jan 24 11:32:59 2021 8 relations: 1096719
  136. Sun Jan 24 11:32:59 2021 9 relations: 1010883
  137. Sun Jan 24 11:32:59 2021 10+ relations: 5842711
  138. Sun Jan 24 11:32:59 2021 heaviest cycle: 28 relations
  139. Sun Jan 24 11:33:06 2021 commencing cycle optimization
  140. Sun Jan 24 11:33:46 2021 start with 136274762 relations
  141. Sun Jan 24 11:40:05 2021 pruned 5355308 relations
  142. Sun Jan 24 11:40:06 2021 memory use: 3805.9 MB
  143. Sun Jan 24 11:40:06 2021 distribution of cycle lengths:
  144. Sun Jan 24 11:40:06 2021 1 relations: 1304971
  145. Sun Jan 24 11:40:06 2021 2 relations: 1356587
  146. Sun Jan 24 11:40:06 2021 3 relations: 1409533
  147. Sun Jan 24 11:40:06 2021 4 relations: 1358785
  148. Sun Jan 24 11:40:06 2021 5 relations: 1333892
  149. Sun Jan 24 11:40:06 2021 6 relations: 1282835
  150. Sun Jan 24 11:40:06 2021 7 relations: 1215582
  151. Sun Jan 24 11:40:06 2021 8 relations: 1134950
  152. Sun Jan 24 11:40:06 2021 9 relations: 1042801
  153. Sun Jan 24 11:40:06 2021 10+ relations: 5494027
  154. Sun Jan 24 11:40:06 2021 heaviest cycle: 28 relations
  155. Sun Jan 24 11:40:55 2021 RelProcTime: 10454
  156. Sun Jan 24 11:40:55 2021 elapsed time 02:54:15
  157. Sun Jan 24 20:53:23 2021
  158. Sun Jan 24 20:53:23 2021
  159. Sun Jan 24 20:53:23 2021 Msieve v. 1.54 (SVN 1028)
  160. Sun Jan 24 20:53:23 2021 random seeds: 99a0f06e dc6fc216
  161. Sun Jan 24 20:53:23 2021 factoring 240866437725169990435961145869700978148638973131500627154459277995207161586111018965696779698382676903650395902770674542234980927906435470377593973397210397595151381518023436309800144471706314282870511294518800271 (213 digits)
  162. Sun Jan 24 20:53:25 2021 no P-1/P+1/ECM available, skipping
  163. Sun Jan 24 20:53:25 2021 commencing number field sieve (213-digit input)
  164. Sun Jan 24 20:53:25 2021 R0: 89202980794122492566142873090593446023921664
  165. Sun Jan 24 20:53:25 2021 R1: -1
  166. Sun Jan 24 20:53:25 2021 A0: -2
  167. Sun Jan 24 20:53:25 2021 A1: 0
  168. Sun Jan 24 20:53:25 2021 A2: 0
  169. Sun Jan 24 20:53:25 2021 A3: 0
  170. Sun Jan 24 20:53:25 2021 A4: 0
  171. Sun Jan 24 20:53:25 2021 A5: 0
  172. Sun Jan 24 20:53:25 2021 A6: 13
  173. Sun Jan 24 20:53:25 2021 skew 0.73, size 5.596e-13, alpha 0.936, combined = 7.383e-14 rroots = 2
  174. Sun Jan 24 20:53:25 2021
  175. Sun Jan 24 20:53:25 2021 commencing linear algebra
  176. Sun Jan 24 20:53:27 2021 read 16933963 cycles
  177. Sun Jan 24 20:54:05 2021 cycles contain 57857149 unique relations
  178. Sun Jan 24 21:00:09 2021 read 57857149 relations
  179. Sun Jan 24 21:02:23 2021 using 20 quadratic characters above 4294917295
  180. Sun Jan 24 21:07:23 2021 building initial matrix
  181. Sun Jan 24 21:19:30 2021 memory use: 7352.0 MB
  182. Sun Jan 24 21:19:39 2021 read 16933963 cycles
  183. Sun Jan 24 21:19:42 2021 matrix is 16933786 x 16933963 (7520.2 MB) with weight 2164974316 (127.85/col)
  184. Sun Jan 24 21:19:42 2021 sparse part has weight 1785114820 (105.42/col)
  185. Sun Jan 24 21:24:22 2021 filtering completed in 2 passes
  186. Sun Jan 24 21:24:26 2021 matrix is 16933146 x 16933322 (7520.2 MB) with weight 2164952947 (127.85/col)
  187. Sun Jan 24 21:24:26 2021 sparse part has weight 1785108419 (105.42/col)
  188. Sun Jan 24 21:25:45 2021 matrix starts at (0, 0)
  189. Sun Jan 24 21:25:47 2021 matrix is 16933146 x 16933322 (7520.2 MB) with weight 2164952947 (127.85/col)
  190. Sun Jan 24 21:25:47 2021 sparse part has weight 1785108419 (105.42/col)
  191. Sun Jan 24 21:25:47 2021 saving the first 112 matrix rows for later
  192. Sun Jan 24 21:25:50 2021 matrix includes 128 packed rows
  193. Sun Jan 24 21:25:55 2021 matrix is 16933034 x 16933322 (7022.3 MB) with weight 1731395686 (102.25/col)
  194. Sun Jan 24 21:25:55 2021 sparse part has weight 1637646668 (96.71/col)
  195. Sun Jan 24 21:25:55 2021 using block size 8192 and superblock size 1474560 for processor cache size 30720 kB
  196. Sun Jan 24 21:26:58 2021 commencing Lanczos iteration (8 threads)
  197. Sun Jan 24 21:26:58 2021 memory use: 7841.9 MB
  198. Sun Jan 24 21:27:46 2021 linear algebra at 0.0%, ETA 135h15m
  199. Sun Jan 24 21:28:00 2021 checkpointing every 130000 dimensions
  200. Sat Jan 30 19:22:03 2021 lanczos halted after 133088 iterations (dim = 16933030)
  201. Sat Jan 30 19:22:33 2021 recovered 37 nontrivial dependencies
  202. Sat Jan 30 19:22:34 2021 BLanczosTime: 512949
  203. Sat Jan 30 19:22:34 2021 elapsed time 142:29:11
  204. Sat Jan 30 19:27:42 2021
  205. Sat Jan 30 19:27:42 2021 commencing square root phase
  206. Sat Jan 30 19:27:42 2021 reading relations for dependency 1
  207. Sat Jan 30 19:27:44 2021 read 8465463 cycles
  208. Sat Jan 30 19:28:01 2021 cycles contain 28925328 unique relations
  209. Sat Jan 30 19:31:22 2021 read 28925328 relations
  210. Sat Jan 30 19:34:05 2021 multiplying 28925328 relations
  211. Sat Jan 30 19:59:40 2021 multiply complete, coefficients have about 851.75 million bits
  212. Sat Jan 30 19:59:43 2021 initial square root is modulo 43798633
  213. Sat Jan 30 20:26:34 2021 sqrtTime: 3532
  214. Sat Jan 30 20:26:34 2021 p57 factor: 490971161470233908013279045588800400925010217471646716547
  215. Sat Jan 30 20:26:34 2021 p156 factor: 490591824179418716841312800208022385808207339800794373210892766611774897307426035928314276357487672225055932145083654172557464499394037870788621642566316293
  216. Sat Jan 30 20:26:34 2021 elapsed time 00:58:53
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