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Apr 17th, 2021
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  1. Fri Apr 16 06:27:13 2021
  2. Fri Apr 16 06:27:13 2021
  3. Fri Apr 16 06:27:13 2021 Msieve v. 1.54 (SVN 1040M)
  4. Fri Apr 16 06:27:13 2021 random seeds: c673ae38 3859f051
  5. Fri Apr 16 06:27:13 2021 factoring 961688711306491116233861781987091370000579462252604762057518416896111954863899054200757791417156974911481984155079463074247446120180395036095822861886982146129649208327237364897940009550843769832157403318759043737969818247 (222 digits)
  6. Fri Apr 16 06:27:14 2021 searching for 15-digit factors
  7. Fri Apr 16 06:27:15 2021 commencing number field sieve (222-digit input)
  8. Fri Apr 16 06:27:15 2021 R0: 14697715679690864505827555550150426126974976
  9. Fri Apr 16 06:27:15 2021 R1: -9094947017729282379150390625
  10. Fri Apr 16 06:27:15 2021 A0: -12
  11. Fri Apr 16 06:27:15 2021 A1: 0
  12. Fri Apr 16 06:27:15 2021 A2: 0
  13. Fri Apr 16 06:27:15 2021 A3: 0
  14. Fri Apr 16 06:27:15 2021 A4: 0
  15. Fri Apr 16 06:27:15 2021 A5: 0
  16. Fri Apr 16 06:27:15 2021 A6: 5
  17. Fri Apr 16 06:27:15 2021 skew 1.16, size 1.245e-12, alpha -0.248, combined = 1.333e-13 rroots = 2
  18. Fri Apr 16 06:27:15 2021
  19. Fri Apr 16 06:27:15 2021 commencing relation filtering
  20. Fri Apr 16 06:27:15 2021 setting target matrix density to 130.0
  21. Fri Apr 16 06:27:15 2021 estimated available RAM is 32768.0 MB
  22. Fri Apr 16 06:27:15 2021 commencing duplicate removal, pass 1
  23. Fri Apr 16 06:32:20 2021 error -5 reading relation 46818519
  24. Fri Apr 16 06:34:14 2021 error -15 reading relation 65671005
  25. Fri Apr 16 06:34:15 2021 error -15 reading relation 65888423
  26. Fri Apr 16 06:37:56 2021 error -15 reading relation 103221242
  27. Fri Apr 16 06:38:06 2021 error -15 reading relation 105024791
  28. Fri Apr 16 06:39:10 2021 error -15 reading relation 115673668
  29. Fri Apr 16 06:45:11 2021 error -15 reading relation 176532554
  30. Fri Apr 16 06:48:51 2021 skipped 703 relations with b > 2^32
  31. Fri Apr 16 06:48:51 2021 skipped 2 relations with composite factors
  32. Fri Apr 16 06:48:51 2021 found 9957532 hash collisions in 213535217 relations
  33. Fri Apr 16 06:49:02 2021 added 1218252 free relations
  34. Fri Apr 16 06:49:02 2021 commencing duplicate removal, pass 2
  35. Fri Apr 16 06:58:04 2021 found 0 duplicates and 214753469 unique relations
  36. Fri Apr 16 06:58:04 2021 memory use: 522.4 MB
  37. Fri Apr 16 06:58:04 2021 reading ideals above 159973376
  38. Fri Apr 16 06:58:04 2021 commencing singleton removal, initial pass
  39. Fri Apr 16 07:13:34 2021 memory use: 5512.0 MB
  40. Fri Apr 16 07:13:35 2021 reading all ideals from disk
  41. Fri Apr 16 07:15:06 2021 memory use: 3875.4 MB
  42. Fri Apr 16 07:15:14 2021 commencing in-memory singleton removal
  43. Fri Apr 16 07:15:22 2021 begin with 214753469 relations and 167211013 unique ideals
  44. Fri Apr 16 07:16:48 2021 reduce to 159550960 relations and 107751952 ideals in 15 passes
  45. Fri Apr 16 07:16:48 2021 max relations containing the same ideal: 50
  46. Fri Apr 16 07:17:07 2021 reading ideals above 720000
  47. Fri Apr 16 07:17:07 2021 commencing singleton removal, initial pass
  48. Fri Apr 16 07:32:38 2021 memory use: 3012.0 MB
  49. Fri Apr 16 07:32:39 2021 reading all ideals from disk
  50. Fri Apr 16 07:35:14 2021 memory use: 6551.5 MB
  51. Fri Apr 16 07:35:28 2021 keeping 124871408 ideals with weight <= 200, target excess is 821227
  52. Fri Apr 16 07:35:43 2021 commencing in-memory singleton removal
  53. Fri Apr 16 07:35:54 2021 begin with 159550960 relations and 124871408 unique ideals
  54. Fri Apr 16 07:36:47 2021 reduce to 159550250 relations and 124870698 ideals in 5 passes
  55. Fri Apr 16 07:36:47 2021 max relations containing the same ideal: 200
  56. Fri Apr 16 07:37:45 2021 removing 9867214 relations and 7867214 ideals in 2000000 cliques
  57. Fri Apr 16 07:37:50 2021 commencing in-memory singleton removal
  58. Fri Apr 16 07:38:01 2021 begin with 149683036 relations and 124870698 unique ideals
  59. Fri Apr 16 07:39:19 2021 reduce to 149182266 relations and 116494442 ideals in 8 passes
  60. Fri Apr 16 07:39:19 2021 max relations containing the same ideal: 198
  61. Fri Apr 16 07:40:15 2021 removing 7633541 relations and 5633541 ideals in 2000000 cliques
  62. Fri Apr 16 07:40:19 2021 commencing in-memory singleton removal
  63. Fri Apr 16 07:40:29 2021 begin with 141548725 relations and 116494442 unique ideals
  64. Fri Apr 16 07:41:34 2021 reduce to 141213411 relations and 110520750 ideals in 7 passes
  65. Fri Apr 16 07:41:34 2021 max relations containing the same ideal: 193
  66. Fri Apr 16 07:42:27 2021 removing 6978289 relations and 4978289 ideals in 2000000 cliques
  67. Fri Apr 16 07:42:31 2021 commencing in-memory singleton removal
  68. Fri Apr 16 07:42:40 2021 begin with 134235122 relations and 110520750 unique ideals
  69. Fri Apr 16 07:43:32 2021 reduce to 133939734 relations and 105242984 ideals in 6 passes
  70. Fri Apr 16 07:43:32 2021 max relations containing the same ideal: 189
  71. Fri Apr 16 07:44:23 2021 removing 6650731 relations and 4650731 ideals in 2000000 cliques
  72. Fri Apr 16 07:44:27 2021 commencing in-memory singleton removal
  73. Fri Apr 16 07:44:35 2021 begin with 127289003 relations and 105242984 unique ideals
  74. Fri Apr 16 07:45:33 2021 reduce to 127013256 relations and 100312559 ideals in 7 passes
  75. Fri Apr 16 07:45:33 2021 max relations containing the same ideal: 183
  76. Fri Apr 16 07:46:21 2021 removing 6449048 relations and 4449048 ideals in 2000000 cliques
  77. Fri Apr 16 07:46:25 2021 commencing in-memory singleton removal
  78. Fri Apr 16 07:46:34 2021 begin with 120564208 relations and 100312559 unique ideals
  79. Fri Apr 16 07:47:43 2021 reduce to 120295130 relations and 95590438 ideals in 9 passes
  80. Fri Apr 16 07:47:43 2021 max relations containing the same ideal: 178
  81. Fri Apr 16 07:48:28 2021 removing 6313930 relations and 4313930 ideals in 2000000 cliques
  82. Fri Apr 16 07:48:31 2021 commencing in-memory singleton removal
  83. Fri Apr 16 07:48:40 2021 begin with 113981200 relations and 95590438 unique ideals
  84. Fri Apr 16 07:49:25 2021 reduce to 113715518 relations and 91006850 ideals in 6 passes
  85. Fri Apr 16 07:49:25 2021 max relations containing the same ideal: 169
  86. Fri Apr 16 07:50:09 2021 removing 6225526 relations and 4225526 ideals in 2000000 cliques
  87. Fri Apr 16 07:50:12 2021 commencing in-memory singleton removal
  88. Fri Apr 16 07:50:20 2021 begin with 107489992 relations and 91006850 unique ideals
  89. Fri Apr 16 07:51:08 2021 reduce to 107220658 relations and 86507725 ideals in 7 passes
  90. Fri Apr 16 07:51:08 2021 max relations containing the same ideal: 166
  91. Fri Apr 16 07:51:49 2021 removing 6166693 relations and 4166693 ideals in 2000000 cliques
  92. Fri Apr 16 07:51:52 2021 commencing in-memory singleton removal
  93. Fri Apr 16 07:51:59 2021 begin with 101053965 relations and 86507725 unique ideals
  94. Fri Apr 16 07:52:38 2021 reduce to 100777916 relations and 82060296 ideals in 6 passes
  95. Fri Apr 16 07:52:38 2021 max relations containing the same ideal: 158
  96. Fri Apr 16 07:53:16 2021 removing 6133339 relations and 4133339 ideals in 2000000 cliques
  97. Fri Apr 16 07:53:20 2021 commencing in-memory singleton removal
  98. Fri Apr 16 07:53:26 2021 begin with 94644577 relations and 82060296 unique ideals
  99. Fri Apr 16 07:54:02 2021 reduce to 94359198 relations and 77636497 ideals in 6 passes
  100. Fri Apr 16 07:54:02 2021 max relations containing the same ideal: 152
  101. Fri Apr 16 07:54:39 2021 removing 6120009 relations and 4120009 ideals in 2000000 cliques
  102. Fri Apr 16 07:54:42 2021 commencing in-memory singleton removal
  103. Fri Apr 16 07:54:48 2021 begin with 88239189 relations and 77636497 unique ideals
  104. Fri Apr 16 07:55:21 2021 reduce to 87939069 relations and 73210598 ideals in 6 passes
  105. Fri Apr 16 07:55:21 2021 max relations containing the same ideal: 147
  106. Fri Apr 16 07:55:55 2021 removing 6123868 relations and 4123868 ideals in 2000000 cliques
  107. Fri Apr 16 07:55:58 2021 commencing in-memory singleton removal
  108. Fri Apr 16 07:56:04 2021 begin with 81815201 relations and 73210598 unique ideals
  109. Fri Apr 16 07:56:40 2021 reduce to 81494906 relations and 68759887 ideals in 7 passes
  110. Fri Apr 16 07:56:40 2021 max relations containing the same ideal: 139
  111. Fri Apr 16 07:57:12 2021 removing 6145844 relations and 4145844 ideals in 2000000 cliques
  112. Fri Apr 16 07:57:15 2021 commencing in-memory singleton removal
  113. Fri Apr 16 07:57:20 2021 begin with 75349062 relations and 68759887 unique ideals
  114. Fri Apr 16 07:57:52 2021 reduce to 75002573 relations and 64260197 ideals in 7 passes
  115. Fri Apr 16 07:57:52 2021 max relations containing the same ideal: 133
  116. Fri Apr 16 07:58:23 2021 removing 6185308 relations and 4185308 ideals in 2000000 cliques
  117. Fri Apr 16 07:58:25 2021 commencing in-memory singleton removal
  118. Fri Apr 16 07:58:30 2021 begin with 68817265 relations and 64260197 unique ideals
  119. Fri Apr 16 07:58:59 2021 reduce to 68437108 relations and 59685829 ideals in 7 passes
  120. Fri Apr 16 07:58:59 2021 max relations containing the same ideal: 124
  121. Fri Apr 16 07:59:26 2021 removing 6244534 relations and 4244534 ideals in 2000000 cliques
  122. Fri Apr 16 07:59:29 2021 commencing in-memory singleton removal
  123. Fri Apr 16 07:59:33 2021 begin with 62192574 relations and 59685829 unique ideals
  124. Fri Apr 16 07:59:59 2021 reduce to 61768921 relations and 55006829 ideals in 7 passes
  125. Fri Apr 16 07:59:59 2021 max relations containing the same ideal: 115
  126. Fri Apr 16 08:00:24 2021 removing 6324791 relations and 4324791 ideals in 2000000 cliques
  127. Fri Apr 16 08:00:27 2021 commencing in-memory singleton removal
  128. Fri Apr 16 08:00:30 2021 begin with 55444130 relations and 55006829 unique ideals
  129. Fri Apr 16 08:00:53 2021 reduce to 54962080 relations and 50186341 ideals in 7 passes
  130. Fri Apr 16 08:00:53 2021 max relations containing the same ideal: 104
  131. Fri Apr 16 08:01:16 2021 removing 6425352 relations and 4425352 ideals in 2000000 cliques
  132. Fri Apr 16 08:01:18 2021 commencing in-memory singleton removal
  133. Fri Apr 16 08:01:21 2021 begin with 48536728 relations and 50186341 unique ideals
  134. Fri Apr 16 08:01:44 2021 reduce to 47976455 relations and 45183592 ideals in 8 passes
  135. Fri Apr 16 08:01:44 2021 max relations containing the same ideal: 97
  136. Fri Apr 16 08:02:04 2021 removing 6122964 relations and 4282725 ideals in 1840239 cliques
  137. Fri Apr 16 08:02:06 2021 commencing in-memory singleton removal
  138. Fri Apr 16 08:02:09 2021 begin with 41853491 relations and 45183592 unique ideals
  139. Fri Apr 16 08:02:31 2021 reduce to 41266814 relations and 40294921 ideals in 9 passes
  140. Fri Apr 16 08:02:31 2021 max relations containing the same ideal: 90
  141. Fri Apr 16 08:02:48 2021 removing 137099 relations and 117830 ideals in 19269 cliques
  142. Fri Apr 16 08:02:49 2021 commencing in-memory singleton removal
  143. Fri Apr 16 08:02:52 2021 begin with 41129715 relations and 40294921 unique ideals
  144. Fri Apr 16 08:03:03 2021 reduce to 41129378 relations and 40176754 ideals in 5 passes
  145. Fri Apr 16 08:03:03 2021 max relations containing the same ideal: 90
  146. Fri Apr 16 08:03:09 2021 relations with 0 large ideals: 28438
  147. Fri Apr 16 08:03:09 2021 relations with 1 large ideals: 7437
  148. Fri Apr 16 08:03:09 2021 relations with 2 large ideals: 109338
  149. Fri Apr 16 08:03:09 2021 relations with 3 large ideals: 787786
  150. Fri Apr 16 08:03:09 2021 relations with 4 large ideals: 3077104
  151. Fri Apr 16 08:03:09 2021 relations with 5 large ideals: 7207453
  152. Fri Apr 16 08:03:09 2021 relations with 6 large ideals: 10603404
  153. Fri Apr 16 08:03:09 2021 relations with 7+ large ideals: 19308418
  154. Fri Apr 16 08:03:09 2021 commencing 2-way merge
  155. Fri Apr 16 08:03:33 2021 reduce to 27461445 relation sets and 26508821 unique ideals
  156. Fri Apr 16 08:03:33 2021 commencing full merge
  157. Fri Apr 16 08:23:55 2021 memory use: 1228.5 MB
  158. Fri Apr 16 08:23:55 2021 found 47641 cycles, need 5840793
  159. Fri Apr 16 08:23:55 2021 too few cycles, matrix probably cannot build
  160. Fri Apr 16 08:23:55 2021 filtering wants 1000000 more relations
  161. Fri Apr 16 08:23:55 2021 elapsed time 01:56:42
  162. Fri Apr 16 09:00:45 2021
  163. Fri Apr 16 09:00:45 2021
  164. Fri Apr 16 09:00:45 2021 Msieve v. 1.54 (SVN 1040M)
  165. Fri Apr 16 09:00:45 2021 random seeds: e86d5834 af929953
  166. Fri Apr 16 09:00:45 2021 factoring 961688711306491116233861781987091370000579462252604762057518416896111954863899054200757791417156974911481984155079463074247446120180395036095822861886982146129649208327237364897940009550843769832157403318759043737969818247 (222 digits)
  167. Fri Apr 16 09:00:46 2021 searching for 15-digit factors
  168. Fri Apr 16 09:00:46 2021 commencing number field sieve (222-digit input)
  169. Fri Apr 16 09:00:46 2021 R0: 14697715679690864505827555550150426126974976
  170. Fri Apr 16 09:00:46 2021 R1: -9094947017729282379150390625
  171. Fri Apr 16 09:00:46 2021 A0: -12
  172. Fri Apr 16 09:00:46 2021 A1: 0
  173. Fri Apr 16 09:00:46 2021 A2: 0
  174. Fri Apr 16 09:00:46 2021 A3: 0
  175. Fri Apr 16 09:00:46 2021 A4: 0
  176. Fri Apr 16 09:00:46 2021 A5: 0
  177. Fri Apr 16 09:00:46 2021 A6: 5
  178. Fri Apr 16 09:00:46 2021 skew 1.16, size 1.245e-12, alpha -0.248, combined = 1.333e-13 rroots = 2
  179. Fri Apr 16 09:00:58 2021
  180. Fri Apr 16 09:00:58 2021
  181. Fri Apr 16 09:00:58 2021 Msieve v. 1.54 (SVN 1040M)
  182. Fri Apr 16 09:00:58 2021 random seeds: ea4058ba c2c8a945
  183. Fri Apr 16 09:00:58 2021 factoring 961688711306491116233861781987091370000579462252604762057518416896111954863899054200757791417156974911481984155079463074247446120180395036095822861886982146129649208327237364897940009550843769832157403318759043737969818247 (222 digits)
  184. Fri Apr 16 09:00:58 2021 searching for 15-digit factors
  185. Fri Apr 16 09:00:59 2021 commencing number field sieve (222-digit input)
  186. Fri Apr 16 09:00:59 2021 R0: 14697715679690864505827555550150426126974976
  187. Fri Apr 16 09:00:59 2021 R1: -9094947017729282379150390625
  188. Fri Apr 16 09:00:59 2021 A0: -12
  189. Fri Apr 16 09:00:59 2021 A1: 0
  190. Fri Apr 16 09:00:59 2021 A2: 0
  191. Fri Apr 16 09:00:59 2021 A3: 0
  192. Fri Apr 16 09:00:59 2021 A4: 0
  193. Fri Apr 16 09:00:59 2021 A5: 0
  194. Fri Apr 16 09:00:59 2021 A6: 5
  195. Fri Apr 16 09:00:59 2021 skew 1.16, size 1.245e-12, alpha -0.248, combined = 1.333e-13 rroots = 2
  196. Fri Apr 16 09:00:59 2021
  197. Fri Apr 16 09:00:59 2021 commencing relation filtering
  198. Fri Apr 16 09:00:59 2021 setting target matrix density to 126.0
  199. Fri Apr 16 09:00:59 2021 estimated available RAM is 32768.0 MB
  200. Fri Apr 16 09:00:59 2021 commencing duplicate removal, pass 1
  201. Fri Apr 16 09:05:34 2021 error -5 reading relation 46818519
  202. Fri Apr 16 09:07:26 2021 error -15 reading relation 65671005
  203. Fri Apr 16 09:07:27 2021 error -15 reading relation 65888423
  204. Fri Apr 16 09:11:08 2021 error -15 reading relation 103221242
  205. Fri Apr 16 09:11:19 2021 error -15 reading relation 105024791
  206. Fri Apr 16 09:12:22 2021 error -15 reading relation 115673668
  207. Fri Apr 16 09:18:24 2021 error -15 reading relation 176532554
  208. Fri Apr 16 09:22:12 2021 skipped 711 relations with b > 2^32
  209. Fri Apr 16 09:22:12 2021 skipped 2 relations with composite factors
  210. Fri Apr 16 09:22:12 2021 found 10082546 hash collisions in 214913260 relations
  211. Fri Apr 16 09:22:23 2021 added 1218252 free relations
  212. Fri Apr 16 09:22:23 2021 commencing duplicate removal, pass 2
  213. Fri Apr 16 09:31:28 2021 found 0 duplicates and 216131512 unique relations
  214. Fri Apr 16 09:31:28 2021 memory use: 756.8 MB
  215. Fri Apr 16 09:31:28 2021 reading ideals above 159973376
  216. Fri Apr 16 09:31:28 2021 commencing singleton removal, initial pass
  217. Fri Apr 16 09:47:05 2021 memory use: 5512.0 MB
  218. Fri Apr 16 09:47:06 2021 reading all ideals from disk
  219. Fri Apr 16 09:48:38 2021 memory use: 3900.9 MB
  220. Fri Apr 16 09:48:45 2021 commencing in-memory singleton removal
  221. Fri Apr 16 09:48:53 2021 begin with 216131512 relations and 167489454 unique ideals
  222. Fri Apr 16 09:50:18 2021 reduce to 161410319 relations and 108602826 ideals in 15 passes
  223. Fri Apr 16 09:50:18 2021 max relations containing the same ideal: 50
  224. Fri Apr 16 09:50:37 2021 reading ideals above 720000
  225. Fri Apr 16 09:50:37 2021 commencing singleton removal, initial pass
  226. Fri Apr 16 10:06:17 2021 memory use: 3012.0 MB
  227. Fri Apr 16 10:06:18 2021 reading all ideals from disk
  228. Fri Apr 16 10:08:54 2021 memory use: 6628.3 MB
  229. Fri Apr 16 10:09:09 2021 keeping 125712372 ideals with weight <= 200, target excess is 831143
  230. Fri Apr 16 10:09:24 2021 commencing in-memory singleton removal
  231. Fri Apr 16 10:09:36 2021 begin with 161410319 relations and 125712372 unique ideals
  232. Fri Apr 16 10:10:29 2021 reduce to 161409719 relations and 125711772 ideals in 5 passes
  233. Fri Apr 16 10:10:29 2021 max relations containing the same ideal: 200
  234. Fri Apr 16 10:11:29 2021 removing 9784397 relations and 7784397 ideals in 2000000 cliques
  235. Fri Apr 16 10:11:34 2021 commencing in-memory singleton removal
  236. Fri Apr 16 10:11:45 2021 begin with 151625322 relations and 125711772 unique ideals
  237. Fri Apr 16 10:13:05 2021 reduce to 151138245 relations and 117432364 ideals in 8 passes
  238. Fri Apr 16 10:13:05 2021 max relations containing the same ideal: 199
  239. Fri Apr 16 10:14:02 2021 removing 7572487 relations and 5572487 ideals in 2000000 cliques
  240. Fri Apr 16 10:14:06 2021 commencing in-memory singleton removal
  241. Fri Apr 16 10:14:17 2021 begin with 143565758 relations and 117432364 unique ideals
  242. Fri Apr 16 10:15:24 2021 reduce to 143239689 relations and 111529166 ideals in 7 passes
  243. Fri Apr 16 10:15:24 2021 max relations containing the same ideal: 194
  244. Fri Apr 16 10:16:18 2021 removing 6924889 relations and 4924889 ideals in 2000000 cliques
  245. Fri Apr 16 10:16:22 2021 commencing in-memory singleton removal
  246. Fri Apr 16 10:16:32 2021 begin with 136314800 relations and 111529166 unique ideals
  247. Fri Apr 16 10:17:26 2021 reduce to 136027957 relations and 106313540 ideals in 6 passes
  248. Fri Apr 16 10:17:26 2021 max relations containing the same ideal: 189
  249. Fri Apr 16 10:18:17 2021 removing 6601715 relations and 4601715 ideals in 2000000 cliques
  250. Fri Apr 16 10:18:21 2021 commencing in-memory singleton removal
  251. Fri Apr 16 10:18:31 2021 begin with 129426242 relations and 106313540 unique ideals
  252. Fri Apr 16 10:19:22 2021 reduce to 129159122 relations and 101440963 ideals in 6 passes
  253. Fri Apr 16 10:19:22 2021 max relations containing the same ideal: 182
  254. Fri Apr 16 10:20:11 2021 removing 6400136 relations and 4400136 ideals in 2000000 cliques
  255. Fri Apr 16 10:20:15 2021 commencing in-memory singleton removal
  256. Fri Apr 16 10:20:24 2021 begin with 122758986 relations and 101440963 unique ideals
  257. Fri Apr 16 10:21:12 2021 reduce to 122497757 relations and 96775734 ideals in 6 passes
  258. Fri Apr 16 10:21:12 2021 max relations containing the same ideal: 179
  259. Fri Apr 16 10:21:59 2021 removing 6267652 relations and 4267652 ideals in 2000000 cliques
  260. Fri Apr 16 10:22:02 2021 commencing in-memory singleton removal
  261. Fri Apr 16 10:22:10 2021 begin with 116230105 relations and 96775734 unique ideals
  262. Fri Apr 16 10:23:03 2021 reduce to 115973651 relations and 92247768 ideals in 7 passes
  263. Fri Apr 16 10:23:04 2021 max relations containing the same ideal: 172
  264. Fri Apr 16 10:23:48 2021 removing 6177119 relations and 4177119 ideals in 2000000 cliques
  265. Fri Apr 16 10:23:51 2021 commencing in-memory singleton removal
  266. Fri Apr 16 10:23:59 2021 begin with 109796532 relations and 92247768 unique ideals
  267. Fri Apr 16 10:24:48 2021 reduce to 109537360 relations and 87807441 ideals in 7 passes
  268. Fri Apr 16 10:24:48 2021 max relations containing the same ideal: 166
  269. Fri Apr 16 10:25:31 2021 removing 6116434 relations and 4116434 ideals in 2000000 cliques
  270. Fri Apr 16 10:25:34 2021 commencing in-memory singleton removal
  271. Fri Apr 16 10:25:41 2021 begin with 103420926 relations and 87807441 unique ideals
  272. Fri Apr 16 10:26:27 2021 reduce to 103155884 relations and 83421505 ideals in 7 passes
  273. Fri Apr 16 10:26:27 2021 max relations containing the same ideal: 159
  274. Fri Apr 16 10:27:07 2021 removing 6079443 relations and 4079443 ideals in 2000000 cliques
  275. Fri Apr 16 10:27:11 2021 commencing in-memory singleton removal
  276. Fri Apr 16 10:27:17 2021 begin with 97076441 relations and 83421505 unique ideals
  277. Fri Apr 16 10:27:55 2021 reduce to 96802398 relations and 79063223 ideals in 6 passes
  278. Fri Apr 16 10:27:55 2021 max relations containing the same ideal: 153
  279. Fri Apr 16 10:28:32 2021 removing 6063900 relations and 4063900 ideals in 2000000 cliques
  280. Fri Apr 16 10:28:35 2021 commencing in-memory singleton removal
  281. Fri Apr 16 10:28:41 2021 begin with 90738498 relations and 79063223 unique ideals
  282. Fri Apr 16 10:29:16 2021 reduce to 90451423 relations and 74706828 ideals in 6 passes
  283. Fri Apr 16 10:29:16 2021 max relations containing the same ideal: 147
  284. Fri Apr 16 10:29:52 2021 removing 6062900 relations and 4062900 ideals in 2000000 cliques
  285. Fri Apr 16 10:29:55 2021 commencing in-memory singleton removal
  286. Fri Apr 16 10:30:00 2021 begin with 84388523 relations and 74706828 unique ideals
  287. Fri Apr 16 10:30:32 2021 reduce to 84083404 relations and 70332772 ideals in 6 passes
  288. Fri Apr 16 10:30:32 2021 max relations containing the same ideal: 143
  289. Fri Apr 16 10:31:05 2021 removing 6079835 relations and 4079835 ideals in 2000000 cliques
  290. Fri Apr 16 10:31:08 2021 commencing in-memory singleton removal
  291. Fri Apr 16 10:31:13 2021 begin with 78003569 relations and 70332772 unique ideals
  292. Fri Apr 16 10:31:48 2021 reduce to 77675342 relations and 65917842 ideals in 7 passes
  293. Fri Apr 16 10:31:48 2021 max relations containing the same ideal: 133
  294. Fri Apr 16 10:32:19 2021 removing 6111548 relations and 4111548 ideals in 2000000 cliques
  295. Fri Apr 16 10:32:21 2021 commencing in-memory singleton removal
  296. Fri Apr 16 10:32:26 2021 begin with 71563794 relations and 65917842 unique ideals
  297. Fri Apr 16 10:32:57 2021 reduce to 71205892 relations and 61440330 ideals in 7 passes
  298. Fri Apr 16 10:32:57 2021 max relations containing the same ideal: 124
  299. Fri Apr 16 10:33:26 2021 removing 6167980 relations and 4167980 ideals in 2000000 cliques
  300. Fri Apr 16 10:33:29 2021 commencing in-memory singleton removal
  301. Fri Apr 16 10:33:33 2021 begin with 65037912 relations and 61440330 unique ideals
  302. Fri Apr 16 10:34:01 2021 reduce to 64642685 relations and 56867413 ideals in 7 passes
  303. Fri Apr 16 10:34:01 2021 max relations containing the same ideal: 119
  304. Fri Apr 16 10:34:27 2021 removing 6238281 relations and 4238281 ideals in 2000000 cliques
  305. Fri Apr 16 10:34:30 2021 commencing in-memory singleton removal
  306. Fri Apr 16 10:34:34 2021 begin with 58404404 relations and 56867413 unique ideals
  307. Fri Apr 16 10:35:02 2021 reduce to 57958203 relations and 52171062 ideals in 8 passes
  308. Fri Apr 16 10:35:02 2021 max relations containing the same ideal: 111
  309. Fri Apr 16 10:35:26 2021 removing 6325876 relations and 4325876 ideals in 2000000 cliques
  310. Fri Apr 16 10:35:29 2021 commencing in-memory singleton removal
  311. Fri Apr 16 10:35:32 2021 begin with 51632327 relations and 52171062 unique ideals
  312. Fri Apr 16 10:35:57 2021 reduce to 51120919 relations and 47318788 ideals in 8 passes
  313. Fri Apr 16 10:35:57 2021 max relations containing the same ideal: 100
  314. Fri Apr 16 10:36:18 2021 removing 6440965 relations and 4440965 ideals in 2000000 cliques
  315. Fri Apr 16 10:36:21 2021 commencing in-memory singleton removal
  316. Fri Apr 16 10:36:24 2021 begin with 44679954 relations and 47318788 unique ideals
  317. Fri Apr 16 10:36:42 2021 reduce to 44076983 relations and 42254876 ideals in 7 passes
  318. Fri Apr 16 10:36:42 2021 max relations containing the same ideal: 91
  319. Fri Apr 16 10:37:00 2021 removing 3340194 relations and 2482213 ideals in 857981 cliques
  320. Fri Apr 16 10:37:02 2021 commencing in-memory singleton removal
  321. Fri Apr 16 10:37:05 2021 begin with 40736789 relations and 42254876 unique ideals
  322. Fri Apr 16 10:37:21 2021 reduce to 40551810 relations and 39584636 ideals in 7 passes
  323. Fri Apr 16 10:37:21 2021 max relations containing the same ideal: 84
  324. Fri Apr 16 10:37:42 2021 relations with 0 large ideals: 28793
  325. Fri Apr 16 10:37:42 2021 relations with 1 large ideals: 7731
  326. Fri Apr 16 10:37:42 2021 relations with 2 large ideals: 112748
  327. Fri Apr 16 10:37:42 2021 relations with 3 large ideals: 805327
  328. Fri Apr 16 10:37:42 2021 relations with 4 large ideals: 3112391
  329. Fri Apr 16 10:37:42 2021 relations with 5 large ideals: 7211399
  330. Fri Apr 16 10:37:42 2021 relations with 6 large ideals: 10495496
  331. Fri Apr 16 10:37:42 2021 relations with 7+ large ideals: 18777925
  332. Fri Apr 16 10:37:42 2021 commencing 2-way merge
  333. Fri Apr 16 10:38:06 2021 reduce to 27170805 relation sets and 26203631 unique ideals
  334. Fri Apr 16 10:38:06 2021 commencing full merge
  335. Fri Apr 16 10:48:29 2021 memory use: 3679.7 MB
  336. Fri Apr 16 10:48:36 2021 found 12173756 cycles, need 12149831
  337. Fri Apr 16 10:48:36 2021 weight of 12149831 cycles is about 1531285399 (126.03/cycle)
  338. Fri Apr 16 10:48:36 2021 distribution of cycle lengths:
  339. Fri Apr 16 10:48:36 2021 1 relations: 504001
  340. Fri Apr 16 10:48:36 2021 2 relations: 713470
  341. Fri Apr 16 10:48:36 2021 3 relations: 816097
  342. Fri Apr 16 10:48:36 2021 4 relations: 843102
  343. Fri Apr 16 10:48:36 2021 5 relations: 861998
  344. Fri Apr 16 10:48:36 2021 6 relations: 856195
  345. Fri Apr 16 10:48:36 2021 7 relations: 842936
  346. Fri Apr 16 10:48:36 2021 8 relations: 815909
  347. Fri Apr 16 10:48:36 2021 9 relations: 774920
  348. Fri Apr 16 10:48:36 2021 10+ relations: 5121203
  349. Fri Apr 16 10:48:36 2021 heaviest cycle: 28 relations
  350. Fri Apr 16 10:48:42 2021 commencing cycle optimization
  351. Fri Apr 16 10:49:09 2021 start with 111519326 relations
  352. Fri Apr 16 10:53:55 2021 pruned 5765498 relations
  353. Fri Apr 16 10:53:55 2021 memory use: 2830.0 MB
  354. Fri Apr 16 10:53:55 2021 distribution of cycle lengths:
  355. Fri Apr 16 10:53:55 2021 1 relations: 504001
  356. Fri Apr 16 10:53:55 2021 2 relations: 731645
  357. Fri Apr 16 10:53:55 2021 3 relations: 852455
  358. Fri Apr 16 10:53:55 2021 4 relations: 881250
  359. Fri Apr 16 10:53:55 2021 5 relations: 909228
  360. Fri Apr 16 10:53:55 2021 6 relations: 902665
  361. Fri Apr 16 10:53:55 2021 7 relations: 893333
  362. Fri Apr 16 10:53:55 2021 8 relations: 861913
  363. Fri Apr 16 10:53:55 2021 9 relations: 818931
  364. Fri Apr 16 10:53:55 2021 10+ relations: 4794410
  365. Fri Apr 16 10:53:55 2021 heaviest cycle: 28 relations
  366. Fri Apr 16 10:54:33 2021 RelProcTime: 6814
  367. Fri Apr 16 10:54:33 2021
  368. Fri Apr 16 10:54:33 2021 commencing linear algebra
  369. Fri Apr 16 10:54:35 2021 read 12149831 cycles
  370. Fri Apr 16 10:55:01 2021 cycles contain 40055605 unique relations
  371. Fri Apr 16 11:04:17 2021 read 40055605 relations
  372. Fri Apr 16 11:05:55 2021 using 20 quadratic characters above 4294917295
  373. Fri Apr 16 11:08:19 2021 building initial matrix
  374. Fri Apr 16 11:15:38 2021 memory use: 5305.0 MB
  375. Fri Apr 16 11:18:07 2021 read 12149831 cycles
  376. Fri Apr 16 11:18:08 2021 matrix is 12149654 x 12149831 (5910.6 MB) with weight 1710068664 (140.75/col)
  377. Fri Apr 16 11:18:08 2021 sparse part has weight 1415772240 (116.53/col)
  378. Fri Apr 16 11:20:21 2021 filtering completed in 2 passes
  379. Fri Apr 16 11:20:22 2021 matrix is 12149582 x 12149759 (5910.6 MB) with weight 1710065865 (140.75/col)
  380. Fri Apr 16 11:20:22 2021 sparse part has weight 1415771221 (116.53/col)
  381. Fri Apr 16 11:23:12 2021 matrix starts at (0, 0)
  382. Fri Apr 16 11:23:13 2021 matrix is 12149582 x 12149759 (5910.6 MB) with weight 1710065865 (140.75/col)
  383. Fri Apr 16 11:23:13 2021 sparse part has weight 1415771221 (116.53/col)
  384. Fri Apr 16 11:23:13 2021 saving the first 48 matrix rows for later
  385. Fri Apr 16 11:23:15 2021 matrix includes 64 packed rows
  386. Fri Apr 16 11:23:16 2021 matrix is 12149534 x 12149759 (5671.3 MB) with weight 1470976109 (121.07/col)
  387. Fri Apr 16 11:23:16 2021 sparse part has weight 1365208651 (112.37/col)
  388. Fri Apr 16 11:23:16 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  389. Fri Apr 16 11:24:01 2021 commencing Lanczos iteration (16 threads)
  390. Fri Apr 16 11:24:01 2021 memory use: 5433.0 MB
  391. Fri Apr 16 11:24:16 2021 linear algebra at 0.0%, ETA 31h12m
  392. Fri Apr 16 11:24:21 2021 checkpointing every 390000 dimensions
  393. Fri Apr 16 15:38:55 2021
  394. Fri Apr 16 15:38:55 2021
  395. Fri Apr 16 15:38:55 2021 Msieve v. 1.54 (SVN 1040M)
  396. Fri Apr 16 15:38:55 2021 random seeds: 8d18c566 2eb621e4
  397. Fri Apr 16 15:38:55 2021 factoring 961688711306491116233861781987091370000579462252604762057518416896111954863899054200757791417156974911481984155079463074247446120180395036095822861886982146129649208327237364897940009550843769832157403318759043737969818247 (222 digits)
  398. Fri Apr 16 15:38:56 2021 searching for 15-digit factors
  399. Fri Apr 16 15:38:56 2021 commencing number field sieve (222-digit input)
  400. Fri Apr 16 15:38:56 2021 R0: 14697715679690864505827555550150426126974976
  401. Fri Apr 16 15:38:56 2021 R1: -9094947017729282379150390625
  402. Fri Apr 16 15:38:56 2021 A0: -12
  403. Fri Apr 16 15:38:56 2021 A1: 0
  404. Fri Apr 16 15:38:56 2021 A2: 0
  405. Fri Apr 16 15:38:56 2021 A3: 0
  406. Fri Apr 16 15:38:56 2021 A4: 0
  407. Fri Apr 16 15:38:56 2021 A5: 0
  408. Fri Apr 16 15:38:56 2021 A6: 5
  409. Fri Apr 16 15:38:56 2021 skew 1.16, size 1.245e-12, alpha -0.248, combined = 1.333e-13 rroots = 2
  410. Fri Apr 16 15:38:56 2021
  411. Fri Apr 16 15:38:56 2021 commencing linear algebra
  412. Fri Apr 16 15:41:08 2021 matrix starts at (0, 0)
  413. Fri Apr 16 15:41:09 2021 matrix is 12149582 x 12149759 (5910.6 MB) with weight 1710065865 (140.75/col)
  414. Fri Apr 16 15:41:09 2021 sparse part has weight 1415771221 (116.53/col)
  415. Fri Apr 16 15:41:09 2021 saving the first 48 matrix rows for later
  416. Fri Apr 16 15:41:11 2021 matrix includes 64 packed rows
  417. Fri Apr 16 15:41:12 2021 matrix is 12149534 x 12149759 (5671.3 MB) with weight 1470976109 (121.07/col)
  418. Fri Apr 16 15:41:12 2021 sparse part has weight 1365208651 (112.37/col)
  419. Fri Apr 16 15:41:12 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  420. Fri Apr 16 15:41:56 2021 commencing Lanczos iteration (16 threads)
  421. Fri Apr 16 15:41:56 2021 memory use: 5433.0 MB
  422. Fri Apr 16 15:42:07 2021 restarting at iteration 12333 (dim = 780002)
  423. Fri Apr 16 15:42:21 2021 linear algebra at 6.4%, ETA 29h 7m
  424. Fri Apr 16 15:42:25 2021 checkpointing every 410000 dimensions
  425. Sat Apr 17 20:36:03 2021 lanczos halted after 192131 iterations (dim = 12149534)
  426. Sat Apr 17 20:36:11 2021 recovered 41 nontrivial dependencies
  427. Sat Apr 17 20:36:16 2021 BLanczosTime: 104240
  428. Sat Apr 17 20:36:16 2021
  429. Sat Apr 17 20:36:16 2021 commencing square root phase
  430. Sat Apr 17 20:36:16 2021 reading relations for dependency 1
  431. Sat Apr 17 20:36:26 2021 read 6076819 cycles
  432. Sat Apr 17 20:36:39 2021 cycles contain 20030700 unique relations
  433. Sat Apr 17 20:45:52 2021 read 20030700 relations
  434. Sat Apr 17 20:47:12 2021 multiplying 20030700 relations
  435. Sat Apr 17 20:59:15 2021 multiply complete, coefficients have about 569.97 million bits
  436. Sat Apr 17 20:59:17 2021 initial square root is modulo 129919
  437. Sat Apr 17 21:11:04 2021 sqrtTime: 2088
  438. Sat Apr 17 21:11:04 2021 p66 factor: 411580637283005215946023556288045458275149969844695794423538799829
  439. Sat Apr 17 21:11:04 2021 p157 factor: 2336574231613399299059342415940810292141164166326604984144654429906565155225797062728265666368856234360409986894087271076132282183037550559109301689277886443
  440. Sat Apr 17 21:11:04 2021 elapsed time 29:32:09
  441.  
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