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5m2_415

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Oct 27th, 2020
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  1. Mon Oct 26 07:00:40 2020
  2. Mon Oct 26 07:00:40 2020
  3. Mon Oct 26 07:00:40 2020 Msieve v. 1.53 (SVN 988M)
  4. Mon Oct 26 07:00:40 2020 random seeds: 20673806 0da619c1
  5. Mon Oct 26 07:00:40 2020 factoring 66233969147453750625367603044256308980536625358487437153783129274719336819453531251813725706437120035674406355022511399676621127472108936666904604953466856862714179040409852970893200133245440866242825720057603241 (212 digits)
  6. Mon Oct 26 07:00:41 2020 searching for 15-digit factors
  7. Mon Oct 26 07:00:43 2020 commencing number field sieve (212-digit input)
  8. Mon Oct 26 07:00:43 2020 R0: 10339757656912845935892608650874535669572651386260986328125
  9. Mon Oct 26 07:00:43 2020 R1: -9671406556917033397649408
  10. Mon Oct 26 07:00:43 2020 A0: 1
  11. Mon Oct 26 07:00:43 2020 A1: 1
  12. Mon Oct 26 07:00:43 2020 A2: 1
  13. Mon Oct 26 07:00:43 2020 A3: 1
  14. Mon Oct 26 07:00:43 2020 A4: 1
  15. Mon Oct 26 07:00:43 2020 skew 1.00, size 1.274e-23, alpha 1.694, combined = 4.466e-14 rroots = 0
  16. Mon Oct 26 07:00:43 2020
  17. Mon Oct 26 07:00:43 2020 commencing relation filtering
  18. Mon Oct 26 07:00:43 2020 setting target matrix density to 120.0
  19. Mon Oct 26 07:00:43 2020 estimated available RAM is 32768.0 MB
  20. Mon Oct 26 07:00:43 2020 commencing duplicate removal, pass 1
  21. Mon Oct 26 07:01:03 2020 error -11 reading relation 3041710
  22. Mon Oct 26 07:10:29 2020 error -15 reading relation 92484420
  23. Mon Oct 26 07:16:47 2020 error -11 reading relation 155305884
  24. Mon Oct 26 07:21:16 2020 skipped 4576 relations with b > 2^32
  25. Mon Oct 26 07:21:16 2020 found 8772569 hash collisions in 200104075 relations
  26. Mon Oct 26 07:21:21 2020 added 3657741 free relations
  27. Mon Oct 26 07:21:21 2020 commencing duplicate removal, pass 2
  28. Mon Oct 26 07:29:54 2020 found 0 duplicates and 203761816 unique relations
  29. Mon Oct 26 07:29:54 2020 memory use: 522.4 MB
  30. Mon Oct 26 07:29:54 2020 reading ideals above 184877056
  31. Mon Oct 26 07:29:54 2020 commencing singleton removal, initial pass
  32. Mon Oct 26 07:44:32 2020 memory use: 3012.0 MB
  33. Mon Oct 26 07:44:32 2020 reading all ideals from disk
  34. Mon Oct 26 07:45:56 2020 memory use: 3555.7 MB
  35. Mon Oct 26 07:46:03 2020 commencing in-memory singleton removal
  36. Mon Oct 26 07:46:10 2020 begin with 203761816 relations and 157313982 unique ideals
  37. Mon Oct 26 07:47:29 2020 reduce to 145388417 relations and 93900383 ideals in 12 passes
  38. Mon Oct 26 07:47:29 2020 max relations containing the same ideal: 48
  39. Mon Oct 26 07:47:46 2020 reading ideals above 720000
  40. Mon Oct 26 07:47:47 2020 commencing singleton removal, initial pass
  41. Mon Oct 26 08:02:03 2020 memory use: 3012.0 MB
  42. Mon Oct 26 08:02:04 2020 reading all ideals from disk
  43. Mon Oct 26 08:04:24 2020 memory use: 5937.9 MB
  44. Mon Oct 26 08:04:36 2020 keeping 113715108 ideals with weight <= 200, target excess is 757875
  45. Mon Oct 26 08:04:50 2020 commencing in-memory singleton removal
  46. Mon Oct 26 08:05:01 2020 begin with 145388417 relations and 113715108 unique ideals
  47. Mon Oct 26 08:06:20 2020 reduce to 145379836 relations and 113706493 ideals in 7 passes
  48. Mon Oct 26 08:06:20 2020 max relations containing the same ideal: 200
  49. Mon Oct 26 08:07:14 2020 removing 9778509 relations and 7778509 ideals in 2000000 cliques
  50. Mon Oct 26 08:07:17 2020 commencing in-memory singleton removal
  51. Mon Oct 26 08:07:26 2020 begin with 135601327 relations and 113706493 unique ideals
  52. Mon Oct 26 08:08:40 2020 reduce to 135087437 relations and 105404893 ideals in 7 passes
  53. Mon Oct 26 08:08:40 2020 max relations containing the same ideal: 198
  54. Mon Oct 26 08:09:30 2020 removing 7532959 relations and 5532959 ideals in 2000000 cliques
  55. Mon Oct 26 08:09:33 2020 commencing in-memory singleton removal
  56. Mon Oct 26 08:09:41 2020 begin with 127554478 relations and 105404893 unique ideals
  57. Mon Oct 26 08:10:51 2020 reduce to 127208491 relations and 99520588 ideals in 7 passes
  58. Mon Oct 26 08:10:51 2020 max relations containing the same ideal: 191
  59. Mon Oct 26 08:11:37 2020 removing 6873053 relations and 4873053 ideals in 2000000 cliques
  60. Mon Oct 26 08:11:40 2020 commencing in-memory singleton removal
  61. Mon Oct 26 08:11:48 2020 begin with 120335438 relations and 99520588 unique ideals
  62. Mon Oct 26 08:12:54 2020 reduce to 120034001 relations and 94341439 ideals in 7 passes
  63. Mon Oct 26 08:12:54 2020 max relations containing the same ideal: 186
  64. Mon Oct 26 08:13:37 2020 removing 6533749 relations and 4533749 ideals in 2000000 cliques
  65. Mon Oct 26 08:13:40 2020 commencing in-memory singleton removal
  66. Mon Oct 26 08:13:48 2020 begin with 113500252 relations and 94341439 unique ideals
  67. Mon Oct 26 08:14:41 2020 reduce to 113217768 relations and 89520809 ideals in 6 passes
  68. Mon Oct 26 08:14:41 2020 max relations containing the same ideal: 182
  69. Mon Oct 26 08:15:23 2020 removing 6327327 relations and 4327327 ideals in 2000000 cliques
  70. Mon Oct 26 08:15:25 2020 commencing in-memory singleton removal
  71. Mon Oct 26 08:15:33 2020 begin with 106890441 relations and 89520809 unique ideals
  72. Mon Oct 26 08:16:22 2020 reduce to 106615731 relations and 84914376 ideals in 6 passes
  73. Mon Oct 26 08:16:22 2020 max relations containing the same ideal: 178
  74. Mon Oct 26 08:17:02 2020 removing 6192212 relations and 4192212 ideals in 2000000 cliques
  75. Mon Oct 26 08:17:04 2020 commencing in-memory singleton removal
  76. Mon Oct 26 08:17:11 2020 begin with 100423519 relations and 84914376 unique ideals
  77. Mon Oct 26 08:17:57 2020 reduce to 100149967 relations and 80444041 ideals in 6 passes
  78. Mon Oct 26 08:17:57 2020 max relations containing the same ideal: 172
  79. Mon Oct 26 08:18:34 2020 removing 6097509 relations and 4097509 ideals in 2000000 cliques
  80. Mon Oct 26 08:18:36 2020 commencing in-memory singleton removal
  81. Mon Oct 26 08:18:43 2020 begin with 94052458 relations and 80444041 unique ideals
  82. Mon Oct 26 08:19:32 2020 reduce to 93775408 relations and 76064488 ideals in 7 passes
  83. Mon Oct 26 08:19:32 2020 max relations containing the same ideal: 163
  84. Mon Oct 26 08:20:08 2020 removing 6034770 relations and 4034770 ideals in 2000000 cliques
  85. Mon Oct 26 08:20:10 2020 commencing in-memory singleton removal
  86. Mon Oct 26 08:20:16 2020 begin with 87740638 relations and 76064488 unique ideals
  87. Mon Oct 26 08:20:56 2020 reduce to 87454221 relations and 71737826 ideals in 6 passes
  88. Mon Oct 26 08:20:56 2020 max relations containing the same ideal: 156
  89. Mon Oct 26 08:21:28 2020 removing 6000017 relations and 4000017 ideals in 2000000 cliques
  90. Mon Oct 26 08:21:30 2020 commencing in-memory singleton removal
  91. Mon Oct 26 08:21:36 2020 begin with 81454204 relations and 71737826 unique ideals
  92. Mon Oct 26 08:22:12 2020 reduce to 81153762 relations and 67431179 ideals in 6 passes
  93. Mon Oct 26 08:22:12 2020 max relations containing the same ideal: 149
  94. Mon Oct 26 08:22:43 2020 removing 5987966 relations and 3987966 ideals in 2000000 cliques
  95. Mon Oct 26 08:22:45 2020 commencing in-memory singleton removal
  96. Mon Oct 26 08:22:50 2020 begin with 75165796 relations and 67431179 unique ideals
  97. Mon Oct 26 08:23:23 2020 reduce to 74843984 relations and 63114399 ideals in 6 passes
  98. Mon Oct 26 08:23:23 2020 max relations containing the same ideal: 142
  99. Mon Oct 26 08:23:51 2020 removing 5997104 relations and 3997104 ideals in 2000000 cliques
  100. Mon Oct 26 08:23:53 2020 commencing in-memory singleton removal
  101. Mon Oct 26 08:23:57 2020 begin with 68846880 relations and 63114399 unique ideals
  102. Mon Oct 26 08:24:33 2020 reduce to 68500177 relations and 58762486 ideals in 7 passes
  103. Mon Oct 26 08:24:33 2020 max relations containing the same ideal: 132
  104. Mon Oct 26 08:24:59 2020 removing 6023757 relations and 4023757 ideals in 2000000 cliques
  105. Mon Oct 26 08:25:01 2020 commencing in-memory singleton removal
  106. Mon Oct 26 08:25:05 2020 begin with 62476420 relations and 58762486 unique ideals
  107. Mon Oct 26 08:25:37 2020 reduce to 62093849 relations and 54346545 ideals in 7 passes
  108. Mon Oct 26 08:25:37 2020 max relations containing the same ideal: 124
  109. Mon Oct 26 08:26:00 2020 removing 6077516 relations and 4077516 ideals in 2000000 cliques
  110. Mon Oct 26 08:26:02 2020 commencing in-memory singleton removal
  111. Mon Oct 26 08:26:06 2020 begin with 56016333 relations and 54346545 unique ideals
  112. Mon Oct 26 08:26:38 2020 reduce to 55586374 relations and 49827283 ideals in 8 passes
  113. Mon Oct 26 08:26:38 2020 max relations containing the same ideal: 115
  114. Mon Oct 26 08:27:00 2020 removing 6147876 relations and 4147876 ideals in 2000000 cliques
  115. Mon Oct 26 08:27:02 2020 commencing in-memory singleton removal
  116. Mon Oct 26 08:27:05 2020 begin with 49438498 relations and 49827283 unique ideals
  117. Mon Oct 26 08:27:30 2020 reduce to 48943955 relations and 45169830 ideals in 7 passes
  118. Mon Oct 26 08:27:30 2020 max relations containing the same ideal: 104
  119. Mon Oct 26 08:27:49 2020 removing 6252376 relations and 4252376 ideals in 2000000 cliques
  120. Mon Oct 26 08:27:51 2020 commencing in-memory singleton removal
  121. Mon Oct 26 08:27:54 2020 begin with 42691579 relations and 45169830 unique ideals
  122. Mon Oct 26 08:28:15 2020 reduce to 42101682 relations and 40306989 ideals in 7 passes
  123. Mon Oct 26 08:28:15 2020 max relations containing the same ideal: 92
  124. Mon Oct 26 08:28:31 2020 removing 3410736 relations and 2495178 ideals in 915558 cliques
  125. Mon Oct 26 08:28:32 2020 commencing in-memory singleton removal
  126. Mon Oct 26 08:28:35 2020 begin with 38690946 relations and 40306989 unique ideals
  127. Mon Oct 26 08:28:54 2020 reduce to 38484904 relations and 37601922 ideals in 7 passes
  128. Mon Oct 26 08:28:54 2020 max relations containing the same ideal: 88
  129. Mon Oct 26 08:29:13 2020 relations with 0 large ideals: 59104
  130. Mon Oct 26 08:29:13 2020 relations with 1 large ideals: 8448
  131. Mon Oct 26 08:29:13 2020 relations with 2 large ideals: 97200
  132. Mon Oct 26 08:29:13 2020 relations with 3 large ideals: 693452
  133. Mon Oct 26 08:29:13 2020 relations with 4 large ideals: 2777662
  134. Mon Oct 26 08:29:13 2020 relations with 5 large ideals: 7968274
  135. Mon Oct 26 08:29:13 2020 relations with 6 large ideals: 9588648
  136. Mon Oct 26 08:29:13 2020 relations with 7+ large ideals: 17292116
  137. Mon Oct 26 08:29:13 2020 commencing 2-way merge
  138. Mon Oct 26 08:29:34 2020 reduce to 26130092 relation sets and 25247110 unique ideals
  139. Mon Oct 26 08:29:35 2020 commencing full merge
  140. Mon Oct 26 08:39:23 2020 memory use: 3272.9 MB
  141. Mon Oct 26 08:39:29 2020 found 11641376 cycles, need 11639310
  142. Mon Oct 26 08:39:29 2020 weight of 11639310 cycles is about 1396904593 (120.02/cycle)
  143. Mon Oct 26 08:39:29 2020 distribution of cycle lengths:
  144. Mon Oct 26 08:39:29 2020 1 relations: 484579
  145. Mon Oct 26 08:39:29 2020 2 relations: 632407
  146. Mon Oct 26 08:39:29 2020 3 relations: 737384
  147. Mon Oct 26 08:39:29 2020 4 relations: 780215
  148. Mon Oct 26 08:39:29 2020 5 relations: 808482
  149. Mon Oct 26 08:39:29 2020 6 relations: 813326
  150. Mon Oct 26 08:39:29 2020 7 relations: 802990
  151. Mon Oct 26 08:39:29 2020 8 relations: 781663
  152. Mon Oct 26 08:39:29 2020 9 relations: 741665
  153. Mon Oct 26 08:39:29 2020 10+ relations: 5056599
  154. Mon Oct 26 08:39:29 2020 heaviest cycle: 28 relations
  155. Mon Oct 26 08:39:34 2020 commencing cycle optimization
  156. Mon Oct 26 08:40:01 2020 start with 109247339 relations
  157. Mon Oct 26 08:44:53 2020 pruned 5787196 relations
  158. Mon Oct 26 08:44:54 2020 memory use: 2722.3 MB
  159. Mon Oct 26 08:44:54 2020 distribution of cycle lengths:
  160. Mon Oct 26 08:44:54 2020 1 relations: 484579
  161. Mon Oct 26 08:44:54 2020 2 relations: 646640
  162. Mon Oct 26 08:44:54 2020 3 relations: 769398
  163. Mon Oct 26 08:44:54 2020 4 relations: 816950
  164. Mon Oct 26 08:44:54 2020 5 relations: 855450
  165. Mon Oct 26 08:44:54 2020 6 relations: 859899
  166. Mon Oct 26 08:44:54 2020 7 relations: 853420
  167. Mon Oct 26 08:44:54 2020 8 relations: 827997
  168. Mon Oct 26 08:44:54 2020 9 relations: 786139
  169. Mon Oct 26 08:44:54 2020 10+ relations: 4738838
  170. Mon Oct 26 08:44:54 2020 heaviest cycle: 28 relations
  171. Mon Oct 26 08:45:30 2020 RelProcTime: 6287
  172. Mon Oct 26 08:45:30 2020
  173. Mon Oct 26 08:45:30 2020 commencing linear algebra
  174. Mon Oct 26 08:45:32 2020 read 11639310 cycles
  175. Mon Oct 26 08:45:59 2020 cycles contain 38024166 unique relations
  176. Mon Oct 26 08:54:45 2020 read 38024166 relations
  177. Mon Oct 26 08:56:05 2020 using 20 quadratic characters above 4294917295
  178. Mon Oct 26 08:58:14 2020 building initial matrix
  179. Mon Oct 26 09:04:38 2020 memory use: 4883.1 MB
  180. Mon Oct 26 09:06:56 2020 read 11639310 cycles
  181. Mon Oct 26 09:06:57 2020 matrix is 11639133 x 11639310 (5455.4 MB) with weight 1558419990 (133.89/col)
  182. Mon Oct 26 09:06:57 2020 sparse part has weight 1302074058 (111.87/col)
  183. Mon Oct 26 09:09:04 2020 filtering completed in 2 passes
  184. Mon Oct 26 09:09:06 2020 matrix is 11639080 x 11639257 (5455.4 MB) with weight 1558418508 (133.89/col)
  185. Mon Oct 26 09:09:06 2020 sparse part has weight 1302073702 (111.87/col)
  186. Mon Oct 26 09:11:44 2020 matrix starts at (0, 0)
  187. Mon Oct 26 09:11:45 2020 matrix is 11639080 x 11639257 (5455.4 MB) with weight 1558418508 (133.89/col)
  188. Mon Oct 26 09:11:45 2020 sparse part has weight 1302073702 (111.87/col)
  189. Mon Oct 26 09:11:45 2020 saving the first 48 matrix rows for later
  190. Mon Oct 26 09:11:46 2020 matrix includes 64 packed rows
  191. Mon Oct 26 09:11:48 2020 matrix is 11639032 x 11639257 (5233.9 MB) with weight 1343648251 (115.44/col)
  192. Mon Oct 26 09:11:48 2020 sparse part has weight 1255649551 (107.88/col)
  193. Mon Oct 26 09:11:48 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  194. Mon Oct 26 09:12:48 2020 commencing Lanczos iteration (16 threads)
  195. Mon Oct 26 09:12:48 2020 memory use: 4483.3 MB
  196. Mon Oct 26 09:13:02 2020 linear algebra at 0.0%, ETA 27h39m
  197. Mon Oct 26 09:13:06 2020 checkpointing every 430000 dimensions
  198. Tue Oct 27 13:06:41 2020 lanczos halted after 184058 iterations (dim = 11639030)
  199. Tue Oct 27 13:06:50 2020 recovered 37 nontrivial dependencies
  200. Tue Oct 27 13:06:55 2020 BLanczosTime: 102085
  201. Tue Oct 27 13:06:55 2020
  202. Tue Oct 27 13:06:55 2020 commencing square root phase
  203. Tue Oct 27 13:06:55 2020 handling dependencies 1 to 64
  204. Tue Oct 27 13:06:55 2020 reading relations for dependency 1
  205. Tue Oct 27 13:07:05 2020 read 5822537 cycles
  206. Tue Oct 27 13:07:18 2020 cycles contain 19016988 unique relations
  207. Tue Oct 27 13:15:55 2020 read 19016988 relations
  208. Tue Oct 27 13:17:11 2020 multiplying 19016988 relations
  209. Tue Oct 27 13:22:18 2020 multiply complete, coefficients have about 505.57 million bits
  210. Tue Oct 27 13:22:20 2020 initial square root is modulo 1179036563
  211. Tue Oct 27 13:28:05 2020 sqrtTime: 1270
  212. Tue Oct 27 13:28:05 2020 p64 factor: 1881521115835592636704229207284490834976445908718569894604726391
  213. Tue Oct 27 13:28:05 2020 p149 factor: 35202352282950023796605785187277301222327000597564896671351610556689887560152216278397966441580668537736856326207577521047499142600032974420273040351
  214. Tue Oct 27 13:28:05 2020 elapsed time 30:27:25
  215.  
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