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Mar 18th, 2021
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  1. Mon Mar 15 19:48:54 2021
  2. Mon Mar 15 19:48:54 2021
  3. Mon Mar 15 19:48:54 2021 Msieve v. 1.54 (SVN 1025)
  4. Mon Mar 15 19:48:54 2021 random seeds: d2d67786 8ba38cf3
  5. Mon Mar 15 19:48:54 2021 factoring 22274282910584829276833700545649329721955350239616041183242972441930552128940902687289781684323096641769637800915618079004368193602046794077251462685027756470458584836680004902724317481857532186253217029573251576726699450552421 (227 digits)
  6. Mon Mar 15 19:48:55 2021 no P-1/P+1/ECM available, skipping
  7. Mon Mar 15 19:48:55 2021 commencing number field sieve (227-digit input)
  8. Mon Mar 15 19:48:55 2021 R0: -682748548217868723525858527116290255255
  9. Mon Mar 15 19:48:55 2021 R1: 10303352608173299954973351036753805312
  10. Mon Mar 15 19:48:55 2021 A0: -2744
  11. Mon Mar 15 19:48:55 2021 A1: -5488
  12. Mon Mar 15 19:48:55 2021 A2: -3136
  13. Mon Mar 15 19:48:55 2021 A3: -588
  14. Mon Mar 15 19:48:55 2021 A4: 14
  15. Mon Mar 15 19:48:55 2021 A5: 14
  16. Mon Mar 15 19:48:55 2021 A6: 1
  17. Mon Mar 15 19:48:55 2021 skew 3.74, size 1.257e-11, alpha 1.665, combined = 7.191e-13 rroots = 6
  18. Mon Mar 15 19:48:55 2021
  19. Mon Mar 15 19:48:55 2021 commencing relation filtering
  20. Mon Mar 15 19:48:55 2021 setting target matrix density to 120.0
  21. Mon Mar 15 19:48:55 2021 estimated available RAM is 16013.0 MB
  22. Mon Mar 15 19:48:55 2021 commencing duplicate removal, pass 1
  23. Mon Mar 15 20:08:04 2021 skipped 7 relations with b > 2^32
  24. Mon Mar 15 20:08:04 2021 skipped 110 relations with composite factors
  25. Mon Mar 15 20:08:04 2021 found 30837152 hash collisions in 140614272 relations
  26. Mon Mar 15 20:08:11 2021 added 2438409 free relations
  27. Mon Mar 15 20:08:11 2021 commencing duplicate removal, pass 2
  28. Mon Mar 15 20:12:56 2021 found 32034612 duplicates and 111018069 unique relations
  29. Mon Mar 15 20:12:56 2021 memory use: 724.8 MB
  30. Mon Mar 15 20:12:56 2021 reading ideals above 129695744
  31. Mon Mar 15 20:12:56 2021 commencing singleton removal, initial pass
  32. Mon Mar 15 20:25:29 2021 memory use: 1506.0 MB
  33. Mon Mar 15 20:25:29 2021 reading all ideals from disk
  34. Mon Mar 15 20:25:44 2021 memory use: 1775.0 MB
  35. Mon Mar 15 20:25:49 2021 commencing in-memory singleton removal
  36. Mon Mar 15 20:25:53 2021 begin with 111018069 relations and 80515312 unique ideals
  37. Mon Mar 15 20:26:42 2021 reduce to 81485884 relations and 48567640 ideals in 11 passes
  38. Mon Mar 15 20:26:42 2021 max relations containing the same ideal: 35
  39. Mon Mar 15 20:26:46 2021 reading ideals above 720000
  40. Mon Mar 15 20:26:47 2021 commencing singleton removal, initial pass
  41. Mon Mar 15 20:40:20 2021 memory use: 1506.0 MB
  42. Mon Mar 15 20:40:21 2021 reading all ideals from disk
  43. Mon Mar 15 20:41:33 2021 memory use: 3119.0 MB
  44. Mon Mar 15 20:41:44 2021 keeping 62867988 ideals with weight <= 200, target excess is 417970
  45. Mon Mar 15 20:41:56 2021 commencing in-memory singleton removal
  46. Mon Mar 15 20:42:06 2021 begin with 81485884 relations and 62867988 unique ideals
  47. Mon Mar 15 20:43:30 2021 reduce to 81449515 relations and 62831617 ideals in 8 passes
  48. Mon Mar 15 20:43:30 2021 max relations containing the same ideal: 200
  49. Mon Mar 15 20:44:17 2021 removing 8070412 relations and 6070412 ideals in 2000000 cliques
  50. Mon Mar 15 20:44:20 2021 commencing in-memory singleton removal
  51. Mon Mar 15 20:44:29 2021 begin with 73379103 relations and 62831617 unique ideals
  52. Mon Mar 15 20:45:34 2021 reduce to 72685686 relations and 56045963 ideals in 7 passes
  53. Mon Mar 15 20:45:34 2021 max relations containing the same ideal: 196
  54. Mon Mar 15 20:46:17 2021 removing 6535744 relations and 4535744 ideals in 2000000 cliques
  55. Mon Mar 15 20:46:20 2021 commencing in-memory singleton removal
  56. Mon Mar 15 20:46:27 2021 begin with 66149942 relations and 56045963 unique ideals
  57. Mon Mar 15 20:47:31 2021 reduce to 65663702 relations and 51010164 ideals in 7 passes
  58. Mon Mar 15 20:47:31 2021 max relations containing the same ideal: 184
  59. Mon Mar 15 20:48:15 2021 removing 6111621 relations and 4111621 ideals in 2000000 cliques
  60. Mon Mar 15 20:48:17 2021 commencing in-memory singleton removal
  61. Mon Mar 15 20:48:25 2021 begin with 59552081 relations and 51010164 unique ideals
  62. Mon Mar 15 20:49:22 2021 reduce to 59108227 relations and 46441572 ideals in 7 passes
  63. Mon Mar 15 20:49:22 2021 max relations containing the same ideal: 172
  64. Mon Mar 15 20:50:01 2021 removing 5902326 relations and 3902326 ideals in 2000000 cliques
  65. Mon Mar 15 20:50:03 2021 commencing in-memory singleton removal
  66. Mon Mar 15 20:50:10 2021 begin with 53205901 relations and 46441572 unique ideals
  67. Mon Mar 15 20:50:59 2021 reduce to 52768358 relations and 42087721 ideals in 7 passes
  68. Mon Mar 15 20:50:59 2021 max relations containing the same ideal: 160
  69. Mon Mar 15 20:51:34 2021 removing 5779267 relations and 3779267 ideals in 2000000 cliques
  70. Mon Mar 15 20:51:36 2021 commencing in-memory singleton removal
  71. Mon Mar 15 20:51:42 2021 begin with 46989091 relations and 42087721 unique ideals
  72. Mon Mar 15 20:52:25 2021 reduce to 46541427 relations and 37845136 ideals in 7 passes
  73. Mon Mar 15 20:52:25 2021 max relations containing the same ideal: 152
  74. Mon Mar 15 20:52:56 2021 removing 5699498 relations and 3699498 ideals in 2000000 cliques
  75. Mon Mar 15 20:52:58 2021 commencing in-memory singleton removal
  76. Mon Mar 15 20:53:03 2021 begin with 40841929 relations and 37845136 unique ideals
  77. Mon Mar 15 20:53:39 2021 reduce to 40372198 relations and 33657672 ideals in 7 passes
  78. Mon Mar 15 20:53:39 2021 max relations containing the same ideal: 137
  79. Mon Mar 15 20:54:05 2021 removing 5637541 relations and 3637541 ideals in 2000000 cliques
  80. Mon Mar 15 20:54:07 2021 commencing in-memory singleton removal
  81. Mon Mar 15 20:54:11 2021 begin with 34734657 relations and 33657672 unique ideals
  82. Mon Mar 15 20:54:41 2021 reduce to 34234495 relations and 29497911 ideals in 7 passes
  83. Mon Mar 15 20:54:41 2021 max relations containing the same ideal: 124
  84. Mon Mar 15 20:55:04 2021 removing 5572773 relations and 3572773 ideals in 2000000 cliques
  85. Mon Mar 15 20:55:06 2021 commencing in-memory singleton removal
  86. Mon Mar 15 20:55:09 2021 begin with 28661722 relations and 29497911 unique ideals
  87. Mon Mar 15 20:55:34 2021 reduce to 28116668 relations and 25352809 ideals in 7 passes
  88. Mon Mar 15 20:55:34 2021 max relations containing the same ideal: 108
  89. Mon Mar 15 20:55:52 2021 removing 5503708 relations and 3503708 ideals in 2000000 cliques
  90. Mon Mar 15 20:55:54 2021 commencing in-memory singleton removal
  91. Mon Mar 15 20:55:56 2021 begin with 22612960 relations and 25352809 unique ideals
  92. Mon Mar 15 20:56:17 2021 reduce to 21977427 relations and 21175011 ideals in 8 passes
  93. Mon Mar 15 20:56:17 2021 max relations containing the same ideal: 88
  94. Mon Mar 15 20:56:32 2021 removing 1209856 relations and 892286 ideals in 317570 cliques
  95. Mon Mar 15 20:56:33 2021 commencing in-memory singleton removal
  96. Mon Mar 15 20:56:35 2021 begin with 20767571 relations and 21175011 unique ideals
  97. Mon Mar 15 20:56:51 2021 reduce to 20711071 relations and 20225335 ideals in 7 passes
  98. Mon Mar 15 20:56:51 2021 max relations containing the same ideal: 85
  99. Mon Mar 15 20:57:08 2021 relations with 0 large ideals: 28161
  100. Mon Mar 15 20:57:08 2021 relations with 1 large ideals: 4803
  101. Mon Mar 15 20:57:08 2021 relations with 2 large ideals: 62440
  102. Mon Mar 15 20:57:08 2021 relations with 3 large ideals: 435318
  103. Mon Mar 15 20:57:08 2021 relations with 4 large ideals: 1654278
  104. Mon Mar 15 20:57:08 2021 relations with 5 large ideals: 3739113
  105. Mon Mar 15 20:57:08 2021 relations with 6 large ideals: 5278974
  106. Mon Mar 15 20:57:08 2021 relations with 7+ large ideals: 9507984
  107. Mon Mar 15 20:57:08 2021 commencing 2-way merge
  108. Mon Mar 15 20:57:25 2021 reduce to 14653519 relation sets and 14167783 unique ideals
  109. Mon Mar 15 20:57:25 2021 commencing full merge
  110. Mon Mar 15 21:07:06 2021 memory use: 1965.0 MB
  111. Mon Mar 15 21:07:08 2021 found 6543424 cycles, need 6541983
  112. Mon Mar 15 21:07:11 2021 weight of 6541983 cycles is about 785193469 (120.02/cycle)
  113. Mon Mar 15 21:07:11 2021 distribution of cycle lengths:
  114. Mon Mar 15 21:07:11 2021 1 relations: 218366
  115. Mon Mar 15 21:07:11 2021 2 relations: 325531
  116. Mon Mar 15 21:07:11 2021 3 relations: 410591
  117. Mon Mar 15 21:07:11 2021 4 relations: 454147
  118. Mon Mar 15 21:07:11 2021 5 relations: 478413
  119. Mon Mar 15 21:07:11 2021 6 relations: 486958
  120. Mon Mar 15 21:07:11 2021 7 relations: 480187
  121. Mon Mar 15 21:07:11 2021 8 relations: 462158
  122. Mon Mar 15 21:07:11 2021 9 relations: 434126
  123. Mon Mar 15 21:07:11 2021 10+ relations: 2791506
  124. Mon Mar 15 21:07:11 2021 heaviest cycle: 28 relations
  125. Mon Mar 15 21:07:14 2021 commencing cycle optimization
  126. Mon Mar 15 21:07:32 2021 start with 61171674 relations
  127. Mon Mar 15 21:11:14 2021 pruned 3556371 relations
  128. Mon Mar 15 21:11:14 2021 memory use: 1494.1 MB
  129. Mon Mar 15 21:11:14 2021 distribution of cycle lengths:
  130. Mon Mar 15 21:11:14 2021 1 relations: 218366
  131. Mon Mar 15 21:11:14 2021 2 relations: 333732
  132. Mon Mar 15 21:11:14 2021 3 relations: 429156
  133. Mon Mar 15 21:11:14 2021 4 relations: 476560
  134. Mon Mar 15 21:11:14 2021 5 relations: 508763
  135. Mon Mar 15 21:11:14 2021 6 relations: 517879
  136. Mon Mar 15 21:11:14 2021 7 relations: 514781
  137. Mon Mar 15 21:11:14 2021 8 relations: 492721
  138. Mon Mar 15 21:11:14 2021 9 relations: 462492
  139. Mon Mar 15 21:11:14 2021 10+ relations: 2587533
  140. Mon Mar 15 21:11:14 2021 heaviest cycle: 28 relations
  141. Mon Mar 15 21:11:35 2021 RelProcTime: 4960
  142. Mon Mar 15 21:11:35 2021 elapsed time 01:22:41
  143.  
  144. Tue Mar 16 06:07:09 2021
  145. Tue Mar 16 06:07:09 2021
  146. Tue Mar 16 06:07:09 2021 Msieve v. 1.52 (SVN exported)
  147. Tue Mar 16 06:07:09 2021 random seeds: 3af8739a e4131d41
  148. Tue Mar 16 06:07:09 2021 factoring 22274282910584829276833700545649329721955350239616041183242972441930552128940902687289781684323096641769637800915618079004368193602046794077251462685027756470458584836680004902724317481857532186253217029573251576726699450552421 (227 digits)
  149. Tue Mar 16 06:07:11 2021 searching for 15-digit factors
  150. Tue Mar 16 06:07:13 2021 commencing number field sieve (227-digit input)
  151. Tue Mar 16 06:07:13 2021 R0: -682748548217868723525858527116290255255
  152. Tue Mar 16 06:07:13 2021 R1: 10303352608173299954973351036753805312
  153. Tue Mar 16 06:07:13 2021 A0: -2744
  154. Tue Mar 16 06:07:13 2021 A1: -5488
  155. Tue Mar 16 06:07:13 2021 A2: -3136
  156. Tue Mar 16 06:07:13 2021 A3: -588
  157. Tue Mar 16 06:07:13 2021 A4: 14
  158. Tue Mar 16 06:07:13 2021 A5: 14
  159. Tue Mar 16 06:07:13 2021 A6: 1
  160. Tue Mar 16 06:07:13 2021 skew 3.74, size 1.257e-11, alpha 1.665, combined = 7.191e-13 rroots = 6
  161. Tue Mar 16 06:07:13 2021
  162. Tue Mar 16 06:07:13 2021 commencing linear algebra
  163. Tue Mar 16 06:07:13 2021 skipping matrix build
  164. Tue Mar 16 06:07:21 2021 matrix starts at (0, 0)
  165. Tue Mar 16 06:07:23 2021 matrix is 6541782 x 6541959 (3011.3 MB) with weight 861538251 (131.69/col)
  166. Tue Mar 16 06:07:23 2021 sparse part has weight 723980349 (110.67/col)
  167. Tue Mar 16 06:07:23 2021 saving the first 48 matrix rows for later
  168. Tue Mar 16 06:07:24 2021 matrix includes 64 packed rows
  169. Tue Mar 16 06:07:26 2021 matrix is 6541734 x 6541959 (2896.2 MB) with weight 738219937 (112.84/col)
  170. Tue Mar 16 06:07:26 2021 sparse part has weight 693797456 (106.05/col)
  171. Tue Mar 16 06:07:26 2021 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
  172. Tue Mar 16 06:08:05 2021 commencing Lanczos iteration (8 threads)
  173. Tue Mar 16 06:08:05 2021 memory use: 2457.3 MB
  174. Tue Mar 16 06:08:31 2021 linear algebra at 0.0%, ETA 29h55m
  175. Tue Mar 16 06:08:39 2021 checkpointing every 230000 dimensions
  176. Wed Mar 17 12:22:44 2021 lanczos halted after 103450 iterations (dim = 6541730)
  177. Wed Mar 17 12:22:53 2021 recovered 32 nontrivial dependencies
  178. Wed Mar 17 12:22:53 2021 BLanczosTime: 108940
  179. Wed Mar 17 12:22:53 2021 elapsed time 30:15:44
  180. Wed Mar 17 12:24:00 2021
  181. Wed Mar 17 12:24:00 2021
  182. Wed Mar 17 12:24:00 2021 Msieve v. 1.54 (SVN 1025)
  183. Wed Mar 17 12:24:00 2021 random seeds: 6f1d7679 09560306
  184. Wed Mar 17 12:24:00 2021 factoring 22274282910584829276833700545649329721955350239616041183242972441930552128940902687289781684323096641769637800915618079004368193602046794077251462685027756470458584836680004902724317481857532186253217029573251576726699450552421 (227 digits)
  185. Wed Mar 17 12:24:02 2021 no P-1/P+1/ECM available, skipping
  186. Wed Mar 17 12:24:02 2021 commencing number field sieve (227-digit input)
  187. Wed Mar 17 12:24:02 2021 R0: -682748548217868723525858527116290255255
  188. Wed Mar 17 12:24:02 2021 R1: 10303352608173299954973351036753805312
  189. Wed Mar 17 12:24:02 2021 A0: -2744
  190. Wed Mar 17 12:24:02 2021 A1: -5488
  191. Wed Mar 17 12:24:02 2021 A2: -3136
  192. Wed Mar 17 12:24:02 2021 A3: -588
  193. Wed Mar 17 12:24:02 2021 A4: 14
  194. Wed Mar 17 12:24:02 2021 A5: 14
  195. Wed Mar 17 12:24:02 2021 A6: 1
  196. Wed Mar 17 12:24:02 2021 skew 3.74, size 1.257e-11, alpha 1.665, combined = 7.191e-13 rroots = 6
  197. Wed Mar 17 12:24:02 2021
  198. Wed Mar 17 12:24:02 2021 commencing square root phase
  199. Wed Mar 17 12:24:02 2021 reading relations for dependency 1
  200. Wed Mar 17 12:24:02 2021 read 3272562 cycles
  201. Wed Mar 17 12:24:10 2021 cycles contain 10250482 unique relations
  202. Wed Mar 17 12:26:51 2021 read 10250482 relations
  203. Wed Mar 17 12:27:46 2021 multiplying 10250482 relations
  204. Wed Mar 17 12:33:13 2021 multiply complete, coefficients have about 266.26 million bits
  205. Wed Mar 17 12:33:14 2021 initial square root is modulo 59971
  206. Wed Mar 17 12:39:25 2021 found factor: 4916917166368996931380374108874416747677560411659567907186930453841
  207. Wed Mar 17 12:39:25 2021 reading relations for dependency 2
  208. Wed Mar 17 12:39:26 2021 read 3269902 cycles
  209. Wed Mar 17 12:39:33 2021 cycles contain 10245274 unique relations
  210. Wed Mar 17 12:42:13 2021 read 10245274 relations
  211. Wed Mar 17 12:43:11 2021 multiplying 10245274 relations
  212. Wed Mar 17 12:48:41 2021 multiply complete, coefficients have about 266.13 million bits
  213. Wed Mar 17 12:48:42 2021 initial square root is modulo 59617
  214. Wed Mar 17 12:54:51 2021 sqrtTime: 1849
  215. Wed Mar 17 12:54:51 2021 p67 factor: 4916917166368996931380374108874416747677560411659567907186930453841
  216. Wed Mar 17 12:54:51 2021 p67 factor: 7884018211102719537360660116398527924151791252852261975686457049561
  217. Wed Mar 17 12:54:51 2021 p93 factor: 574596823406523542040518447044881029453457362361022657142544970467220503603772710087974582621
  218. Wed Mar 17 12:54:51 2021 elapsed time 00:30:51
  219.  
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