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5p2_830M

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Jan 21st, 2021
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  1. Tue Jan 19 09:58:13 2021
  2. Tue Jan 19 09:58:13 2021
  3. Tue Jan 19 09:58:13 2021 Msieve v. 1.53 (SVN 988M)
  4. Tue Jan 19 09:58:13 2021 random seeds: 6fe28786 9ae3ad93
  5. Tue Jan 19 09:58:13 2021 factoring 661908190697027288254674952745534417600093101961266179449406397998522014160529914464018853334417340423586266946553202516975068353178581402832647629657997052565223651131141182929635738306441 (189 digits)
  6. Tue Jan 19 09:58:14 2021 searching for 15-digit factors
  7. Tue Jan 19 09:58:15 2021 commencing number field sieve (189-digit input)
  8. Tue Jan 19 09:58:15 2021 R0: -10339757656912845935892608650874545340979208303294383977533
  9. Tue Jan 19 09:58:15 2021 R1: 200000000000000000000000000000000000000000
  10. Tue Jan 19 09:58:15 2021 A0: -25
  11. Tue Jan 19 09:58:15 2021 A1: -50
  12. Tue Jan 19 09:58:15 2021 A2: 10
  13. Tue Jan 19 09:58:15 2021 A3: 20
  14. Tue Jan 19 09:58:15 2021 A4: 4
  15. Tue Jan 19 09:58:15 2021 skew 1.58, size 9.833e-24, alpha 1.525, combined = 3.788e-14 rroots = 4
  16. Tue Jan 19 09:58:15 2021
  17. Tue Jan 19 09:58:15 2021 commencing relation filtering
  18. Tue Jan 19 09:58:15 2021 setting target matrix density to 130.0
  19. Tue Jan 19 09:58:15 2021 estimated available RAM is 32768.0 MB
  20. Tue Jan 19 09:58:15 2021 commencing duplicate removal, pass 1
  21. Tue Jan 19 10:03:13 2021 error -15 reading relation 46870938
  22. Tue Jan 19 10:03:45 2021 error -6 reading relation 52283256
  23. Tue Jan 19 10:15:39 2021 error -11 reading relation 170737261
  24. Tue Jan 19 10:15:40 2021 error -15 reading relation 170824299
  25. Tue Jan 19 10:19:10 2021 skipped 3195 relations with b > 2^32
  26. Tue Jan 19 10:19:10 2021 skipped 3 relations with composite factors
  27. Tue Jan 19 10:19:10 2021 found 9256213 hash collisions in 205697252 relations
  28. Tue Jan 19 10:19:16 2021 added 3657708 free relations
  29. Tue Jan 19 10:19:16 2021 commencing duplicate removal, pass 2
  30. Tue Jan 19 10:28:06 2021 found 0 duplicates and 209354960 unique relations
  31. Tue Jan 19 10:28:06 2021 memory use: 522.4 MB
  32. Tue Jan 19 10:28:06 2021 reading ideals above 205324288
  33. Tue Jan 19 10:28:06 2021 commencing singleton removal, initial pass
  34. Tue Jan 19 10:43:10 2021 memory use: 3012.0 MB
  35. Tue Jan 19 10:43:10 2021 reading all ideals from disk
  36. Tue Jan 19 10:44:37 2021 memory use: 3657.0 MB
  37. Tue Jan 19 10:44:44 2021 commencing in-memory singleton removal
  38. Tue Jan 19 10:44:51 2021 begin with 209354960 relations and 157376390 unique ideals
  39. Tue Jan 19 10:46:07 2021 reduce to 153441407 relations and 96946768 ideals in 11 passes
  40. Tue Jan 19 10:46:07 2021 max relations containing the same ideal: 53
  41. Tue Jan 19 10:46:25 2021 reading ideals above 720000
  42. Tue Jan 19 10:46:25 2021 commencing singleton removal, initial pass
  43. Tue Jan 19 11:01:32 2021 memory use: 3012.0 MB
  44. Tue Jan 19 11:01:33 2021 reading all ideals from disk
  45. Tue Jan 19 11:04:02 2021 memory use: 6304.6 MB
  46. Tue Jan 19 11:04:15 2021 keeping 118863678 ideals with weight <= 200, target excess is 796714
  47. Tue Jan 19 11:04:30 2021 commencing in-memory singleton removal
  48. Tue Jan 19 11:04:41 2021 begin with 153441407 relations and 118863678 unique ideals
  49. Tue Jan 19 11:06:08 2021 reduce to 153429986 relations and 118852200 ideals in 7 passes
  50. Tue Jan 19 11:06:08 2021 max relations containing the same ideal: 200
  51. Tue Jan 19 11:07:04 2021 removing 9545333 relations and 7545333 ideals in 2000000 cliques
  52. Tue Jan 19 11:07:08 2021 commencing in-memory singleton removal
  53. Tue Jan 19 11:07:18 2021 begin with 143884653 relations and 118852200 unique ideals
  54. Tue Jan 19 11:08:39 2021 reduce to 143417553 relations and 110831771 ideals in 7 passes
  55. Tue Jan 19 11:08:39 2021 max relations containing the same ideal: 199
  56. Tue Jan 19 11:09:32 2021 removing 7378633 relations and 5378633 ideals in 2000000 cliques
  57. Tue Jan 19 11:09:35 2021 commencing in-memory singleton removal
  58. Tue Jan 19 11:09:45 2021 begin with 136038920 relations and 110831771 unique ideals
  59. Tue Jan 19 11:10:50 2021 reduce to 135722754 relations and 105132299 ideals in 6 passes
  60. Tue Jan 19 11:10:50 2021 max relations containing the same ideal: 194
  61. Tue Jan 19 11:11:41 2021 removing 6747953 relations and 4747953 ideals in 2000000 cliques
  62. Tue Jan 19 11:11:44 2021 commencing in-memory singleton removal
  63. Tue Jan 19 11:11:53 2021 begin with 128974801 relations and 105132299 unique ideals
  64. Tue Jan 19 11:12:55 2021 reduce to 128699333 relations and 100104845 ideals in 6 passes
  65. Tue Jan 19 11:12:55 2021 max relations containing the same ideal: 187
  66. Tue Jan 19 11:13:42 2021 removing 6422065 relations and 4422065 ideals in 2000000 cliques
  67. Tue Jan 19 11:13:45 2021 commencing in-memory singleton removal
  68. Tue Jan 19 11:13:54 2021 begin with 122277268 relations and 100104845 unique ideals
  69. Tue Jan 19 11:14:52 2021 reduce to 122020756 relations and 95422410 ideals in 6 passes
  70. Tue Jan 19 11:14:52 2021 max relations containing the same ideal: 182
  71. Tue Jan 19 11:15:38 2021 removing 6220049 relations and 4220049 ideals in 2000000 cliques
  72. Tue Jan 19 11:15:40 2021 commencing in-memory singleton removal
  73. Tue Jan 19 11:15:49 2021 begin with 115800707 relations and 95422410 unique ideals
  74. Tue Jan 19 11:16:43 2021 reduce to 115554395 relations and 90952230 ideals in 6 passes
  75. Tue Jan 19 11:16:43 2021 max relations containing the same ideal: 176
  76. Tue Jan 19 11:17:27 2021 removing 6084237 relations and 4084237 ideals in 2000000 cliques
  77. Tue Jan 19 11:17:30 2021 commencing in-memory singleton removal
  78. Tue Jan 19 11:17:37 2021 begin with 109470158 relations and 90952230 unique ideals
  79. Tue Jan 19 11:18:29 2021 reduce to 109225273 relations and 86619116 ideals in 6 passes
  80. Tue Jan 19 11:18:29 2021 max relations containing the same ideal: 168
  81. Tue Jan 19 11:19:10 2021 removing 5992536 relations and 3992536 ideals in 2000000 cliques
  82. Tue Jan 19 11:19:12 2021 commencing in-memory singleton removal
  83. Tue Jan 19 11:19:19 2021 begin with 103232737 relations and 86619116 unique ideals
  84. Tue Jan 19 11:20:08 2021 reduce to 102988055 relations and 82377745 ideals in 6 passes
  85. Tue Jan 19 11:20:08 2021 max relations containing the same ideal: 162
  86. Tue Jan 19 11:20:48 2021 removing 5929789 relations and 3929789 ideals in 2000000 cliques
  87. Tue Jan 19 11:20:50 2021 commencing in-memory singleton removal
  88. Tue Jan 19 11:20:57 2021 begin with 97058266 relations and 82377745 unique ideals
  89. Tue Jan 19 11:21:43 2021 reduce to 96807533 relations and 78192793 ideals in 6 passes
  90. Tue Jan 19 11:21:43 2021 max relations containing the same ideal: 156
  91. Tue Jan 19 11:22:20 2021 removing 5884619 relations and 3884619 ideals in 2000000 cliques
  92. Tue Jan 19 11:22:22 2021 commencing in-memory singleton removal
  93. Tue Jan 19 11:22:28 2021 begin with 90922914 relations and 78192793 unique ideals
  94. Tue Jan 19 11:23:11 2021 reduce to 90662099 relations and 74042460 ideals in 6 passes
  95. Tue Jan 19 11:23:11 2021 max relations containing the same ideal: 152
  96. Tue Jan 19 11:23:45 2021 removing 5861295 relations and 3861295 ideals in 2000000 cliques
  97. Tue Jan 19 11:23:47 2021 commencing in-memory singleton removal
  98. Tue Jan 19 11:23:53 2021 begin with 84800804 relations and 74042460 unique ideals
  99. Tue Jan 19 11:24:32 2021 reduce to 84527738 relations and 69902702 ideals in 6 passes
  100. Tue Jan 19 11:24:32 2021 max relations containing the same ideal: 143
  101. Tue Jan 19 11:25:04 2021 removing 5854626 relations and 3854626 ideals in 2000000 cliques
  102. Tue Jan 19 11:25:06 2021 commencing in-memory singleton removal
  103. Tue Jan 19 11:25:11 2021 begin with 78673112 relations and 69902702 unique ideals
  104. Tue Jan 19 11:25:47 2021 reduce to 78383644 relations and 65752429 ideals in 6 passes
  105. Tue Jan 19 11:25:47 2021 max relations containing the same ideal: 137
  106. Tue Jan 19 11:26:17 2021 removing 5861187 relations and 3861187 ideals in 2000000 cliques
  107. Tue Jan 19 11:26:19 2021 commencing in-memory singleton removal
  108. Tue Jan 19 11:26:24 2021 begin with 72522457 relations and 65752429 unique ideals
  109. Tue Jan 19 11:26:57 2021 reduce to 72209493 relations and 61571259 ideals in 6 passes
  110. Tue Jan 19 11:26:57 2021 max relations containing the same ideal: 131
  111. Tue Jan 19 11:27:25 2021 removing 5885201 relations and 3885201 ideals in 2000000 cliques
  112. Tue Jan 19 11:27:27 2021 commencing in-memory singleton removal
  113. Tue Jan 19 11:27:31 2021 begin with 66324292 relations and 61571259 unique ideals
  114. Tue Jan 19 11:28:01 2021 reduce to 65985900 relations and 57339503 ideals in 6 passes
  115. Tue Jan 19 11:28:01 2021 max relations containing the same ideal: 123
  116. Tue Jan 19 11:28:27 2021 removing 5926229 relations and 3926229 ideals in 2000000 cliques
  117. Tue Jan 19 11:28:29 2021 commencing in-memory singleton removal
  118. Tue Jan 19 11:28:33 2021 begin with 60059671 relations and 57339503 unique ideals
  119. Tue Jan 19 11:28:59 2021 reduce to 59684745 relations and 53028576 ideals in 6 passes
  120. Tue Jan 19 11:28:59 2021 max relations containing the same ideal: 113
  121. Tue Jan 19 11:29:23 2021 removing 5982400 relations and 3982400 ideals in 2000000 cliques
  122. Tue Jan 19 11:29:25 2021 commencing in-memory singleton removal
  123. Tue Jan 19 11:29:28 2021 begin with 53702345 relations and 53028576 unique ideals
  124. Tue Jan 19 11:29:56 2021 reduce to 53278098 relations and 48609766 ideals in 7 passes
  125. Tue Jan 19 11:29:56 2021 max relations containing the same ideal: 104
  126. Tue Jan 19 11:30:17 2021 removing 6061767 relations and 4061767 ideals in 2000000 cliques
  127. Tue Jan 19 11:30:19 2021 commencing in-memory singleton removal
  128. Tue Jan 19 11:30:22 2021 begin with 47216331 relations and 48609766 unique ideals
  129. Tue Jan 19 11:30:49 2021 reduce to 46725335 relations and 44041404 ideals in 8 passes
  130. Tue Jan 19 11:30:49 2021 max relations containing the same ideal: 97
  131. Tue Jan 19 11:31:08 2021 removing 5546354 relations and 3786612 ideals in 1759742 cliques
  132. Tue Jan 19 11:31:10 2021 commencing in-memory singleton removal
  133. Tue Jan 19 11:31:12 2021 begin with 41178981 relations and 44041404 unique ideals
  134. Tue Jan 19 11:31:33 2021 reduce to 40693496 relations and 39753399 ideals in 7 passes
  135. Tue Jan 19 11:31:33 2021 max relations containing the same ideal: 91
  136. Tue Jan 19 11:31:49 2021 removing 106242 relations and 90334 ideals in 15908 cliques
  137. Tue Jan 19 11:31:50 2021 commencing in-memory singleton removal
  138. Tue Jan 19 11:31:53 2021 begin with 40587254 relations and 39753399 unique ideals
  139. Tue Jan 19 11:32:04 2021 reduce to 40587095 relations and 39662906 ideals in 4 passes
  140. Tue Jan 19 11:32:04 2021 max relations containing the same ideal: 91
  141. Tue Jan 19 11:32:10 2021 relations with 0 large ideals: 63721
  142. Tue Jan 19 11:32:10 2021 relations with 1 large ideals: 8830
  143. Tue Jan 19 11:32:10 2021 relations with 2 large ideals: 99477
  144. Tue Jan 19 11:32:10 2021 relations with 3 large ideals: 709980
  145. Tue Jan 19 11:32:10 2021 relations with 4 large ideals: 2854627
  146. Tue Jan 19 11:32:10 2021 relations with 5 large ideals: 8324289
  147. Tue Jan 19 11:32:10 2021 relations with 6 large ideals: 10057548
  148. Tue Jan 19 11:32:10 2021 relations with 7+ large ideals: 18468623
  149. Tue Jan 19 11:32:10 2021 commencing 2-way merge
  150. Tue Jan 19 11:32:33 2021 reduce to 28037699 relation sets and 27113510 unique ideals
  151. Tue Jan 19 11:32:33 2021 commencing full merge
  152. Tue Jan 19 11:51:27 2021 memory use: 1256.4 MB
  153. Tue Jan 19 11:51:27 2021 found 96604 cycles, need 5973914
  154. Tue Jan 19 11:51:27 2021 too few cycles, matrix probably cannot build
  155. Tue Jan 19 11:55:46 2021
  156. Tue Jan 19 11:55:46 2021
  157. Tue Jan 19 11:55:46 2021 Msieve v. 1.53 (SVN 988M)
  158. Tue Jan 19 11:55:46 2021 random seeds: 0bce65a8 5f60925a
  159. Tue Jan 19 11:55:46 2021 factoring 661908190697027288254674952745534417600093101961266179449406397998522014160529914464018853334417340423586266946553202516975068353178581402832647629657997052565223651131141182929635738306441 (189 digits)
  160. Tue Jan 19 11:55:46 2021 searching for 15-digit factors
  161. Tue Jan 19 11:55:47 2021 commencing number field sieve (189-digit input)
  162. Tue Jan 19 11:55:47 2021 R0: -10339757656912845935892608650874545340979208303294383977533
  163. Tue Jan 19 11:55:47 2021 R1: 200000000000000000000000000000000000000000
  164. Tue Jan 19 11:55:47 2021 A0: -25
  165. Tue Jan 19 11:55:47 2021 A1: -50
  166. Tue Jan 19 11:55:47 2021 A2: 10
  167. Tue Jan 19 11:55:47 2021 A3: 20
  168. Tue Jan 19 11:55:47 2021 A4: 4
  169. Tue Jan 19 11:55:47 2021 skew 1.58, size 9.833e-24, alpha 1.525, combined = 3.788e-14 rroots = 4
  170. Tue Jan 19 11:55:47 2021
  171. Tue Jan 19 11:55:47 2021 commencing relation filtering
  172. Tue Jan 19 11:55:47 2021 setting target matrix density to 124.0
  173. Tue Jan 19 11:55:47 2021 estimated available RAM is 32768.0 MB
  174. Tue Jan 19 11:55:47 2021 commencing duplicate removal, pass 1
  175. Tue Jan 19 12:00:30 2021 error -15 reading relation 46870938
  176. Tue Jan 19 12:01:03 2021 error -6 reading relation 52283256
  177. Tue Jan 19 12:12:59 2021 error -11 reading relation 170737261
  178. Tue Jan 19 12:13:00 2021 error -15 reading relation 170824299
  179. Tue Jan 19 12:16:50 2021 skipped 3195 relations with b > 2^32
  180. Tue Jan 19 12:16:50 2021 skipped 3 relations with composite factors
  181. Tue Jan 19 12:16:50 2021 found 9576153 hash collisions in 209354960 relations
  182. Tue Jan 19 12:16:50 2021 commencing duplicate removal, pass 2
  183. Tue Jan 19 12:25:40 2021 found 0 duplicates and 209354960 unique relations
  184. Tue Jan 19 12:25:40 2021 memory use: 522.4 MB
  185. Tue Jan 19 12:25:40 2021 reading ideals above 205324288
  186. Tue Jan 19 12:25:40 2021 commencing singleton removal, initial pass
  187. Tue Jan 19 12:40:45 2021 memory use: 3012.0 MB
  188. Tue Jan 19 12:40:45 2021 reading all ideals from disk
  189. Tue Jan 19 12:42:12 2021 memory use: 3657.0 MB
  190. Tue Jan 19 12:42:19 2021 commencing in-memory singleton removal
  191. Tue Jan 19 12:42:26 2021 begin with 209354960 relations and 157376390 unique ideals
  192. Tue Jan 19 12:43:43 2021 reduce to 153441407 relations and 96946768 ideals in 11 passes
  193. Tue Jan 19 12:43:43 2021 max relations containing the same ideal: 53
  194. Tue Jan 19 12:44:01 2021 reading ideals above 720000
  195. Tue Jan 19 12:44:01 2021 commencing singleton removal, initial pass
  196. Tue Jan 19 12:59:12 2021 memory use: 3012.0 MB
  197. Tue Jan 19 12:59:12 2021 reading all ideals from disk
  198. Tue Jan 19 13:01:41 2021 memory use: 6304.6 MB
  199. Tue Jan 19 13:01:55 2021 keeping 118863678 ideals with weight <= 200, target excess is 796714
  200. Tue Jan 19 13:02:10 2021 commencing in-memory singleton removal
  201. Tue Jan 19 13:02:21 2021 begin with 153441407 relations and 118863678 unique ideals
  202. Tue Jan 19 13:03:45 2021 reduce to 153429986 relations and 118852200 ideals in 7 passes
  203. Tue Jan 19 13:03:45 2021 max relations containing the same ideal: 200
  204. Tue Jan 19 13:04:40 2021 removing 9545333 relations and 7545333 ideals in 2000000 cliques
  205. Tue Jan 19 13:04:44 2021 commencing in-memory singleton removal
  206. Tue Jan 19 13:04:54 2021 begin with 143884653 relations and 118852200 unique ideals
  207. Tue Jan 19 13:06:12 2021 reduce to 143417553 relations and 110831771 ideals in 7 passes
  208. Tue Jan 19 13:06:13 2021 max relations containing the same ideal: 199
  209. Tue Jan 19 13:07:04 2021 removing 7378633 relations and 5378633 ideals in 2000000 cliques
  210. Tue Jan 19 13:07:08 2021 commencing in-memory singleton removal
  211. Tue Jan 19 13:07:17 2021 begin with 136038920 relations and 110831771 unique ideals
  212. Tue Jan 19 13:08:21 2021 reduce to 135722754 relations and 105132299 ideals in 6 passes
  213. Tue Jan 19 13:08:21 2021 max relations containing the same ideal: 194
  214. Tue Jan 19 13:09:10 2021 removing 6747953 relations and 4747953 ideals in 2000000 cliques
  215. Tue Jan 19 13:09:13 2021 commencing in-memory singleton removal
  216. Tue Jan 19 13:09:22 2021 begin with 128974801 relations and 105132299 unique ideals
  217. Tue Jan 19 13:10:22 2021 reduce to 128699333 relations and 100104845 ideals in 6 passes
  218. Tue Jan 19 13:10:22 2021 max relations containing the same ideal: 187
  219. Tue Jan 19 13:11:09 2021 removing 6422065 relations and 4422065 ideals in 2000000 cliques
  220. Tue Jan 19 13:11:12 2021 commencing in-memory singleton removal
  221. Tue Jan 19 13:11:20 2021 begin with 122277268 relations and 100104845 unique ideals
  222. Tue Jan 19 13:12:17 2021 reduce to 122020756 relations and 95422410 ideals in 6 passes
  223. Tue Jan 19 13:12:17 2021 max relations containing the same ideal: 182
  224. Tue Jan 19 13:13:02 2021 removing 6220049 relations and 4220049 ideals in 2000000 cliques
  225. Tue Jan 19 13:13:05 2021 commencing in-memory singleton removal
  226. Tue Jan 19 13:13:13 2021 begin with 115800707 relations and 95422410 unique ideals
  227. Tue Jan 19 13:14:06 2021 reduce to 115554395 relations and 90952230 ideals in 6 passes
  228. Tue Jan 19 13:14:06 2021 max relations containing the same ideal: 176
  229. Tue Jan 19 13:14:49 2021 removing 6084237 relations and 4084237 ideals in 2000000 cliques
  230. Tue Jan 19 13:14:51 2021 commencing in-memory singleton removal
  231. Tue Jan 19 13:14:59 2021 begin with 109470158 relations and 90952230 unique ideals
  232. Tue Jan 19 13:15:49 2021 reduce to 109225273 relations and 86619116 ideals in 6 passes
  233. Tue Jan 19 13:15:49 2021 max relations containing the same ideal: 168
  234. Tue Jan 19 13:16:29 2021 removing 5992536 relations and 3992536 ideals in 2000000 cliques
  235. Tue Jan 19 13:16:32 2021 commencing in-memory singleton removal
  236. Tue Jan 19 13:16:39 2021 begin with 103232737 relations and 86619116 unique ideals
  237. Tue Jan 19 13:17:26 2021 reduce to 102988055 relations and 82377745 ideals in 6 passes
  238. Tue Jan 19 13:17:26 2021 max relations containing the same ideal: 162
  239. Tue Jan 19 13:18:04 2021 removing 5929789 relations and 3929789 ideals in 2000000 cliques
  240. Tue Jan 19 13:18:07 2021 commencing in-memory singleton removal
  241. Tue Jan 19 13:18:13 2021 begin with 97058266 relations and 82377745 unique ideals
  242. Tue Jan 19 13:18:57 2021 reduce to 96807533 relations and 78192793 ideals in 6 passes
  243. Tue Jan 19 13:18:57 2021 max relations containing the same ideal: 156
  244. Tue Jan 19 13:19:33 2021 removing 5884619 relations and 3884619 ideals in 2000000 cliques
  245. Tue Jan 19 13:19:36 2021 commencing in-memory singleton removal
  246. Tue Jan 19 13:19:42 2021 begin with 90922914 relations and 78192793 unique ideals
  247. Tue Jan 19 13:20:23 2021 reduce to 90662099 relations and 74042460 ideals in 6 passes
  248. Tue Jan 19 13:20:23 2021 max relations containing the same ideal: 152
  249. Tue Jan 19 13:20:57 2021 removing 5861295 relations and 3861295 ideals in 2000000 cliques
  250. Tue Jan 19 13:20:59 2021 commencing in-memory singleton removal
  251. Tue Jan 19 13:21:05 2021 begin with 84800804 relations and 74042460 unique ideals
  252. Tue Jan 19 13:21:42 2021 reduce to 84527738 relations and 69902702 ideals in 6 passes
  253. Tue Jan 19 13:21:42 2021 max relations containing the same ideal: 143
  254. Tue Jan 19 13:22:14 2021 removing 5854626 relations and 3854626 ideals in 2000000 cliques
  255. Tue Jan 19 13:22:16 2021 commencing in-memory singleton removal
  256. Tue Jan 19 13:22:21 2021 begin with 78673112 relations and 69902702 unique ideals
  257. Tue Jan 19 13:22:56 2021 reduce to 78383644 relations and 65752429 ideals in 6 passes
  258. Tue Jan 19 13:22:56 2021 max relations containing the same ideal: 137
  259. Tue Jan 19 13:23:26 2021 removing 5861187 relations and 3861187 ideals in 2000000 cliques
  260. Tue Jan 19 13:23:28 2021 commencing in-memory singleton removal
  261. Tue Jan 19 13:23:33 2021 begin with 72522457 relations and 65752429 unique ideals
  262. Tue Jan 19 13:24:05 2021 reduce to 72209493 relations and 61571259 ideals in 6 passes
  263. Tue Jan 19 13:24:05 2021 max relations containing the same ideal: 131
  264. Tue Jan 19 13:24:32 2021 removing 5885201 relations and 3885201 ideals in 2000000 cliques
  265. Tue Jan 19 13:24:34 2021 commencing in-memory singleton removal
  266. Tue Jan 19 13:24:39 2021 begin with 66324292 relations and 61571259 unique ideals
  267. Tue Jan 19 13:25:08 2021 reduce to 65985900 relations and 57339503 ideals in 6 passes
  268. Tue Jan 19 13:25:08 2021 max relations containing the same ideal: 123
  269. Tue Jan 19 13:25:33 2021 removing 5926229 relations and 3926229 ideals in 2000000 cliques
  270. Tue Jan 19 13:25:35 2021 commencing in-memory singleton removal
  271. Tue Jan 19 13:25:39 2021 begin with 60059671 relations and 57339503 unique ideals
  272. Tue Jan 19 13:26:05 2021 reduce to 59684745 relations and 53028576 ideals in 6 passes
  273. Tue Jan 19 13:26:05 2021 max relations containing the same ideal: 113
  274. Tue Jan 19 13:26:28 2021 removing 5982400 relations and 3982400 ideals in 2000000 cliques
  275. Tue Jan 19 13:26:30 2021 commencing in-memory singleton removal
  276. Tue Jan 19 13:26:33 2021 begin with 53702345 relations and 53028576 unique ideals
  277. Tue Jan 19 13:27:00 2021 reduce to 53278098 relations and 48609766 ideals in 7 passes
  278. Tue Jan 19 13:27:00 2021 max relations containing the same ideal: 104
  279. Tue Jan 19 13:27:20 2021 removing 6061767 relations and 4061767 ideals in 2000000 cliques
  280. Tue Jan 19 13:27:22 2021 commencing in-memory singleton removal
  281. Tue Jan 19 13:27:25 2021 begin with 47216331 relations and 48609766 unique ideals
  282. Tue Jan 19 13:27:52 2021 reduce to 46725335 relations and 44041404 ideals in 8 passes
  283. Tue Jan 19 13:27:52 2021 max relations containing the same ideal: 97
  284. Tue Jan 19 13:28:10 2021 removing 5546354 relations and 3786612 ideals in 1759742 cliques
  285. Tue Jan 19 13:28:12 2021 commencing in-memory singleton removal
  286. Tue Jan 19 13:28:15 2021 begin with 41178981 relations and 44041404 unique ideals
  287. Tue Jan 19 13:28:35 2021 reduce to 40693496 relations and 39753399 ideals in 7 passes
  288. Tue Jan 19 13:28:35 2021 max relations containing the same ideal: 91
  289. Tue Jan 19 13:28:51 2021 removing 106242 relations and 90334 ideals in 15908 cliques
  290. Tue Jan 19 13:28:52 2021 commencing in-memory singleton removal
  291. Tue Jan 19 13:28:54 2021 begin with 40587254 relations and 39753399 unique ideals
  292. Tue Jan 19 13:29:05 2021 reduce to 40587095 relations and 39662906 ideals in 4 passes
  293. Tue Jan 19 13:29:05 2021 max relations containing the same ideal: 91
  294. Tue Jan 19 13:29:11 2021 relations with 0 large ideals: 63721
  295. Tue Jan 19 13:29:11 2021 relations with 1 large ideals: 8830
  296. Tue Jan 19 13:29:11 2021 relations with 2 large ideals: 99477
  297. Tue Jan 19 13:29:11 2021 relations with 3 large ideals: 709980
  298. Tue Jan 19 13:29:11 2021 relations with 4 large ideals: 2854627
  299. Tue Jan 19 13:29:11 2021 relations with 5 large ideals: 8324289
  300. Tue Jan 19 13:29:11 2021 relations with 6 large ideals: 10057548
  301. Tue Jan 19 13:29:11 2021 relations with 7+ large ideals: 18468623
  302. Tue Jan 19 13:29:11 2021 commencing 2-way merge
  303. Tue Jan 19 13:29:35 2021 reduce to 28037699 relation sets and 27113510 unique ideals
  304. Tue Jan 19 13:29:35 2021 commencing full merge
  305. Tue Jan 19 13:48:16 2021 memory use: 1256.4 MB
  306. Tue Jan 19 13:48:16 2021 found 96604 cycles, need 5973914
  307. Tue Jan 19 13:48:16 2021 too few cycles, matrix probably cannot build
  308. Tue Jan 19 13:48:35 2021
  309. Tue Jan 19 13:48:35 2021
  310. Tue Jan 19 13:48:35 2021 Msieve v. 1.53 (SVN 988M)
  311. Tue Jan 19 13:48:35 2021 random seeds: e5813723 a3726935
  312. Tue Jan 19 13:48:35 2021 factoring 661908190697027288254674952745534417600093101961266179449406397998522014160529914464018853334417340423586266946553202516975068353178581402832647629657997052565223651131141182929635738306441 (189 digits)
  313. Tue Jan 19 13:48:35 2021 searching for 15-digit factors
  314. Tue Jan 19 13:48:36 2021 commencing number field sieve (189-digit input)
  315. Tue Jan 19 13:48:36 2021 R0: -10339757656912845935892608650874545340979208303294383977533
  316. Tue Jan 19 13:48:36 2021 R1: 200000000000000000000000000000000000000000
  317. Tue Jan 19 13:48:36 2021 A0: -25
  318. Tue Jan 19 13:48:36 2021 A1: -50
  319. Tue Jan 19 13:48:36 2021 A2: 10
  320. Tue Jan 19 13:48:36 2021 A3: 20
  321. Tue Jan 19 13:48:36 2021 A4: 4
  322. Tue Jan 19 13:48:36 2021 skew 1.58, size 9.833e-24, alpha 1.525, combined = 3.788e-14 rroots = 4
  323. Tue Jan 19 13:48:36 2021
  324. Tue Jan 19 13:48:36 2021 commencing relation filtering
  325. Tue Jan 19 13:48:36 2021 setting target matrix density to 120.0
  326. Tue Jan 19 13:48:36 2021 estimated available RAM is 32768.0 MB
  327. Tue Jan 19 13:48:36 2021 commencing duplicate removal, pass 1
  328. Tue Jan 19 13:53:17 2021 error -15 reading relation 46870938
  329. Tue Jan 19 13:53:50 2021 error -6 reading relation 52283256
  330. Tue Jan 19 14:05:45 2021 error -11 reading relation 170737261
  331. Tue Jan 19 14:05:45 2021 error -15 reading relation 170824299
  332. Tue Jan 19 14:09:36 2021 skipped 3195 relations with b > 2^32
  333. Tue Jan 19 14:09:36 2021 skipped 3 relations with composite factors
  334. Tue Jan 19 14:09:36 2021 found 9576153 hash collisions in 209354960 relations
  335. Tue Jan 19 14:09:36 2021 commencing duplicate removal, pass 2
  336. Tue Jan 19 14:18:26 2021 found 0 duplicates and 209354960 unique relations
  337. Tue Jan 19 14:18:26 2021 memory use: 522.4 MB
  338. Tue Jan 19 14:18:26 2021 reading ideals above 205324288
  339. Tue Jan 19 14:18:26 2021 commencing singleton removal, initial pass
  340. Tue Jan 19 14:33:31 2021 memory use: 3012.0 MB
  341. Tue Jan 19 14:33:31 2021 reading all ideals from disk
  342. Tue Jan 19 14:34:58 2021 memory use: 3657.0 MB
  343. Tue Jan 19 14:35:05 2021 commencing in-memory singleton removal
  344. Tue Jan 19 14:35:12 2021 begin with 209354960 relations and 157376390 unique ideals
  345. Tue Jan 19 14:36:27 2021 reduce to 153441407 relations and 96946768 ideals in 11 passes
  346. Tue Jan 19 14:36:27 2021 max relations containing the same ideal: 53
  347. Tue Jan 19 14:36:45 2021 reading ideals above 720000
  348. Tue Jan 19 14:36:45 2021 commencing singleton removal, initial pass
  349. Tue Jan 19 14:51:56 2021 memory use: 3012.0 MB
  350. Tue Jan 19 14:51:57 2021 reading all ideals from disk
  351. Tue Jan 19 14:54:26 2021 memory use: 6304.6 MB
  352. Tue Jan 19 14:54:39 2021 keeping 118863678 ideals with weight <= 200, target excess is 796714
  353. Tue Jan 19 14:54:55 2021 commencing in-memory singleton removal
  354. Tue Jan 19 14:55:06 2021 begin with 153441407 relations and 118863678 unique ideals
  355. Tue Jan 19 14:56:32 2021 reduce to 153429986 relations and 118852200 ideals in 7 passes
  356. Tue Jan 19 14:56:32 2021 max relations containing the same ideal: 200
  357. Tue Jan 19 14:57:28 2021 removing 9545333 relations and 7545333 ideals in 2000000 cliques
  358. Tue Jan 19 14:57:32 2021 commencing in-memory singleton removal
  359. Tue Jan 19 14:57:42 2021 begin with 143884653 relations and 118852200 unique ideals
  360. Tue Jan 19 14:59:03 2021 reduce to 143417553 relations and 110831771 ideals in 7 passes
  361. Tue Jan 19 14:59:03 2021 max relations containing the same ideal: 199
  362. Tue Jan 19 14:59:56 2021 removing 7378633 relations and 5378633 ideals in 2000000 cliques
  363. Tue Jan 19 14:59:59 2021 commencing in-memory singleton removal
  364. Tue Jan 19 15:00:08 2021 begin with 136038920 relations and 110831771 unique ideals
  365. Tue Jan 19 15:01:14 2021 reduce to 135722754 relations and 105132299 ideals in 6 passes
  366. Tue Jan 19 15:01:14 2021 max relations containing the same ideal: 194
  367. Tue Jan 19 15:02:04 2021 removing 6747953 relations and 4747953 ideals in 2000000 cliques
  368. Tue Jan 19 15:02:07 2021 commencing in-memory singleton removal
  369. Tue Jan 19 15:02:16 2021 begin with 128974801 relations and 105132299 unique ideals
  370. Tue Jan 19 15:03:18 2021 reduce to 128699333 relations and 100104845 ideals in 6 passes
  371. Tue Jan 19 15:03:18 2021 max relations containing the same ideal: 187
  372. Tue Jan 19 15:04:06 2021 removing 6422065 relations and 4422065 ideals in 2000000 cliques
  373. Tue Jan 19 15:04:08 2021 commencing in-memory singleton removal
  374. Tue Jan 19 15:04:17 2021 begin with 122277268 relations and 100104845 unique ideals
  375. Tue Jan 19 15:05:15 2021 reduce to 122020756 relations and 95422410 ideals in 6 passes
  376. Tue Jan 19 15:05:15 2021 max relations containing the same ideal: 182
  377. Tue Jan 19 15:06:01 2021 removing 6220049 relations and 4220049 ideals in 2000000 cliques
  378. Tue Jan 19 15:06:03 2021 commencing in-memory singleton removal
  379. Tue Jan 19 15:06:12 2021 begin with 115800707 relations and 95422410 unique ideals
  380. Tue Jan 19 15:07:06 2021 reduce to 115554395 relations and 90952230 ideals in 6 passes
  381. Tue Jan 19 15:07:06 2021 max relations containing the same ideal: 176
  382. Tue Jan 19 15:07:50 2021 removing 6084237 relations and 4084237 ideals in 2000000 cliques
  383. Tue Jan 19 15:07:53 2021 commencing in-memory singleton removal
  384. Tue Jan 19 15:08:00 2021 begin with 109470158 relations and 90952230 unique ideals
  385. Tue Jan 19 15:08:52 2021 reduce to 109225273 relations and 86619116 ideals in 6 passes
  386. Tue Jan 19 15:08:52 2021 max relations containing the same ideal: 168
  387. Tue Jan 19 15:09:33 2021 removing 5992536 relations and 3992536 ideals in 2000000 cliques
  388. Tue Jan 19 15:09:35 2021 commencing in-memory singleton removal
  389. Tue Jan 19 15:09:42 2021 begin with 103232737 relations and 86619116 unique ideals
  390. Tue Jan 19 15:10:30 2021 reduce to 102988055 relations and 82377745 ideals in 6 passes
  391. Tue Jan 19 15:10:30 2021 max relations containing the same ideal: 162
  392. Tue Jan 19 15:11:09 2021 removing 5929789 relations and 3929789 ideals in 2000000 cliques
  393. Tue Jan 19 15:11:12 2021 commencing in-memory singleton removal
  394. Tue Jan 19 15:11:18 2021 begin with 97058266 relations and 82377745 unique ideals
  395. Tue Jan 19 15:12:03 2021 reduce to 96807533 relations and 78192793 ideals in 6 passes
  396. Tue Jan 19 15:12:03 2021 max relations containing the same ideal: 156
  397. Tue Jan 19 15:12:40 2021 removing 5884619 relations and 3884619 ideals in 2000000 cliques
  398. Tue Jan 19 15:12:43 2021 commencing in-memory singleton removal
  399. Tue Jan 19 15:12:49 2021 begin with 90922914 relations and 78192793 unique ideals
  400. Tue Jan 19 15:13:31 2021 reduce to 90662099 relations and 74042460 ideals in 6 passes
  401. Tue Jan 19 15:13:31 2021 max relations containing the same ideal: 152
  402. Tue Jan 19 15:14:06 2021 removing 5861295 relations and 3861295 ideals in 2000000 cliques
  403. Tue Jan 19 15:14:08 2021 commencing in-memory singleton removal
  404. Tue Jan 19 15:14:14 2021 begin with 84800804 relations and 74042460 unique ideals
  405. Tue Jan 19 15:14:53 2021 reduce to 84527738 relations and 69902702 ideals in 6 passes
  406. Tue Jan 19 15:14:53 2021 max relations containing the same ideal: 143
  407. Tue Jan 19 15:15:25 2021 removing 5854626 relations and 3854626 ideals in 2000000 cliques
  408. Tue Jan 19 15:15:27 2021 commencing in-memory singleton removal
  409. Tue Jan 19 15:15:33 2021 begin with 78673112 relations and 69902702 unique ideals
  410. Tue Jan 19 15:16:09 2021 reduce to 78383644 relations and 65752429 ideals in 6 passes
  411. Tue Jan 19 15:16:09 2021 max relations containing the same ideal: 137
  412. Tue Jan 19 15:16:39 2021 removing 5861187 relations and 3861187 ideals in 2000000 cliques
  413. Tue Jan 19 15:16:42 2021 commencing in-memory singleton removal
  414. Tue Jan 19 15:16:46 2021 begin with 72522457 relations and 65752429 unique ideals
  415. Tue Jan 19 15:17:19 2021 reduce to 72209493 relations and 61571259 ideals in 6 passes
  416. Tue Jan 19 15:17:19 2021 max relations containing the same ideal: 131
  417. Tue Jan 19 15:17:47 2021 removing 5885201 relations and 3885201 ideals in 2000000 cliques
  418. Tue Jan 19 15:17:49 2021 commencing in-memory singleton removal
  419. Tue Jan 19 15:17:54 2021 begin with 66324292 relations and 61571259 unique ideals
  420. Tue Jan 19 15:18:24 2021 reduce to 65985900 relations and 57339503 ideals in 6 passes
  421. Tue Jan 19 15:18:24 2021 max relations containing the same ideal: 123
  422. Tue Jan 19 15:18:49 2021 removing 5926229 relations and 3926229 ideals in 2000000 cliques
  423. Tue Jan 19 15:18:51 2021 commencing in-memory singleton removal
  424. Tue Jan 19 15:18:55 2021 begin with 60059671 relations and 57339503 unique ideals
  425. Tue Jan 19 15:19:22 2021 reduce to 59684745 relations and 53028576 ideals in 6 passes
  426. Tue Jan 19 15:19:22 2021 max relations containing the same ideal: 113
  427. Tue Jan 19 15:19:45 2021 removing 5982400 relations and 3982400 ideals in 2000000 cliques
  428. Tue Jan 19 15:19:47 2021 commencing in-memory singleton removal
  429. Tue Jan 19 15:19:51 2021 begin with 53702345 relations and 53028576 unique ideals
  430. Tue Jan 19 15:20:18 2021 reduce to 53278098 relations and 48609766 ideals in 7 passes
  431. Tue Jan 19 15:20:18 2021 max relations containing the same ideal: 104
  432. Tue Jan 19 15:20:39 2021 removing 6061767 relations and 4061767 ideals in 2000000 cliques
  433. Tue Jan 19 15:20:41 2021 commencing in-memory singleton removal
  434. Tue Jan 19 15:20:44 2021 begin with 47216331 relations and 48609766 unique ideals
  435. Tue Jan 19 15:21:11 2021 reduce to 46725335 relations and 44041404 ideals in 8 passes
  436. Tue Jan 19 15:21:11 2021 max relations containing the same ideal: 97
  437. Tue Jan 19 15:21:30 2021 removing 5546354 relations and 3786612 ideals in 1759742 cliques
  438. Tue Jan 19 15:21:32 2021 commencing in-memory singleton removal
  439. Tue Jan 19 15:21:34 2021 begin with 41178981 relations and 44041404 unique ideals
  440. Tue Jan 19 15:21:55 2021 reduce to 40693496 relations and 39753399 ideals in 7 passes
  441. Tue Jan 19 15:21:55 2021 max relations containing the same ideal: 91
  442. Tue Jan 19 15:22:11 2021 removing 106242 relations and 90334 ideals in 15908 cliques
  443. Tue Jan 19 15:22:12 2021 commencing in-memory singleton removal
  444. Tue Jan 19 15:22:15 2021 begin with 40587254 relations and 39753399 unique ideals
  445. Tue Jan 19 15:22:26 2021 reduce to 40587095 relations and 39662906 ideals in 4 passes
  446. Tue Jan 19 15:22:26 2021 max relations containing the same ideal: 91
  447. Tue Jan 19 15:22:32 2021 relations with 0 large ideals: 63721
  448. Tue Jan 19 15:22:32 2021 relations with 1 large ideals: 8830
  449. Tue Jan 19 15:22:32 2021 relations with 2 large ideals: 99477
  450. Tue Jan 19 15:22:32 2021 relations with 3 large ideals: 709980
  451. Tue Jan 19 15:22:32 2021 relations with 4 large ideals: 2854627
  452. Tue Jan 19 15:22:32 2021 relations with 5 large ideals: 8324289
  453. Tue Jan 19 15:22:32 2021 relations with 6 large ideals: 10057548
  454. Tue Jan 19 15:22:32 2021 relations with 7+ large ideals: 18468623
  455. Tue Jan 19 15:22:32 2021 commencing 2-way merge
  456. Tue Jan 19 15:22:56 2021 reduce to 28037699 relation sets and 27113510 unique ideals
  457. Tue Jan 19 15:22:56 2021 commencing full merge
  458. Tue Jan 19 15:41:34 2021 memory use: 1256.4 MB
  459. Tue Jan 19 15:41:34 2021 found 96604 cycles, need 5973914
  460. Tue Jan 19 15:41:34 2021 too few cycles, matrix probably cannot build
  461. Tue Jan 19 15:44:13 2021
  462. Tue Jan 19 15:44:13 2021
  463. Tue Jan 19 15:44:13 2021 Msieve v. 1.53 (SVN 988M)
  464. Tue Jan 19 15:44:13 2021 random seeds: 23b41855 d012c933
  465. Tue Jan 19 15:44:13 2021 factoring 661908190697027288254674952745534417600093101961266179449406397998522014160529914464018853334417340423586266946553202516975068353178581402832647629657997052565223651131141182929635738306441 (189 digits)
  466. Tue Jan 19 15:44:13 2021 searching for 15-digit factors
  467. Tue Jan 19 15:44:14 2021 commencing number field sieve (189-digit input)
  468. Tue Jan 19 15:44:14 2021 R0: -10339757656912845935892608650874545340979208303294383977533
  469. Tue Jan 19 15:44:14 2021 R1: 200000000000000000000000000000000000000000
  470. Tue Jan 19 15:44:14 2021 A0: -25
  471. Tue Jan 19 15:44:14 2021 A1: -50
  472. Tue Jan 19 15:44:14 2021 A2: 10
  473. Tue Jan 19 15:44:14 2021 A3: 20
  474. Tue Jan 19 15:44:14 2021 A4: 4
  475. Tue Jan 19 15:44:14 2021 skew 1.58, size 9.833e-24, alpha 1.525, combined = 3.788e-14 rroots = 4
  476. Tue Jan 19 15:44:14 2021
  477. Tue Jan 19 15:44:14 2021 commencing relation filtering
  478. Tue Jan 19 15:44:14 2021 setting target matrix density to 116.0
  479. Tue Jan 19 15:44:14 2021 estimated available RAM is 32768.0 MB
  480. Tue Jan 19 15:44:14 2021 commencing duplicate removal, pass 1
  481. Tue Jan 19 15:48:56 2021 error -15 reading relation 46870938
  482. Tue Jan 19 15:49:28 2021 error -6 reading relation 52283256
  483. Tue Jan 19 16:01:23 2021 error -11 reading relation 170737261
  484. Tue Jan 19 16:01:24 2021 error -15 reading relation 170824299
  485. Tue Jan 19 16:05:14 2021 skipped 3195 relations with b > 2^32
  486. Tue Jan 19 16:05:14 2021 skipped 3 relations with composite factors
  487. Tue Jan 19 16:05:14 2021 found 9576153 hash collisions in 209354960 relations
  488. Tue Jan 19 16:05:15 2021 commencing duplicate removal, pass 2
  489. Tue Jan 19 16:14:04 2021 found 0 duplicates and 209354960 unique relations
  490. Tue Jan 19 16:14:04 2021 memory use: 522.4 MB
  491. Tue Jan 19 16:14:04 2021 reading ideals above 205324288
  492. Tue Jan 19 16:14:04 2021 commencing singleton removal, initial pass
  493. Tue Jan 19 16:29:10 2021 memory use: 3012.0 MB
  494. Tue Jan 19 16:29:10 2021 reading all ideals from disk
  495. Tue Jan 19 16:30:37 2021 memory use: 3657.0 MB
  496. Tue Jan 19 16:30:44 2021 commencing in-memory singleton removal
  497. Tue Jan 19 16:30:51 2021 begin with 209354960 relations and 157376390 unique ideals
  498. Tue Jan 19 16:32:09 2021 reduce to 153441407 relations and 96946768 ideals in 11 passes
  499. Tue Jan 19 16:32:09 2021 max relations containing the same ideal: 53
  500. Tue Jan 19 16:32:27 2021 reading ideals above 720000
  501. Tue Jan 19 16:32:27 2021 commencing singleton removal, initial pass
  502. Tue Jan 19 16:47:42 2021 memory use: 3012.0 MB
  503. Tue Jan 19 16:47:43 2021 reading all ideals from disk
  504. Tue Jan 19 16:50:11 2021 memory use: 6304.6 MB
  505. Tue Jan 19 16:50:25 2021 keeping 118863678 ideals with weight <= 200, target excess is 796714
  506. Tue Jan 19 16:50:40 2021 commencing in-memory singleton removal
  507. Tue Jan 19 16:50:51 2021 begin with 153441407 relations and 118863678 unique ideals
  508. Tue Jan 19 16:52:18 2021 reduce to 153429986 relations and 118852200 ideals in 7 passes
  509. Tue Jan 19 16:52:18 2021 max relations containing the same ideal: 200
  510. Tue Jan 19 16:53:15 2021 removing 9545333 relations and 7545333 ideals in 2000000 cliques
  511. Tue Jan 19 16:53:18 2021 commencing in-memory singleton removal
  512. Tue Jan 19 16:53:29 2021 begin with 143884653 relations and 118852200 unique ideals
  513. Tue Jan 19 16:54:50 2021 reduce to 143417553 relations and 110831771 ideals in 7 passes
  514. Tue Jan 19 16:54:50 2021 max relations containing the same ideal: 199
  515. Tue Jan 19 16:55:44 2021 removing 7378633 relations and 5378633 ideals in 2000000 cliques
  516. Tue Jan 19 16:55:47 2021 commencing in-memory singleton removal
  517. Tue Jan 19 16:55:56 2021 begin with 136038920 relations and 110831771 unique ideals
  518. Tue Jan 19 16:57:02 2021 reduce to 135722754 relations and 105132299 ideals in 6 passes
  519. Tue Jan 19 16:57:02 2021 max relations containing the same ideal: 194
  520. Tue Jan 19 16:57:52 2021 removing 6747953 relations and 4747953 ideals in 2000000 cliques
  521. Tue Jan 19 16:57:55 2021 commencing in-memory singleton removal
  522. Tue Jan 19 16:58:05 2021 begin with 128974801 relations and 105132299 unique ideals
  523. Tue Jan 19 16:59:06 2021 reduce to 128699333 relations and 100104845 ideals in 6 passes
  524. Tue Jan 19 16:59:06 2021 max relations containing the same ideal: 187
  525. Tue Jan 19 16:59:53 2021 removing 6422065 relations and 4422065 ideals in 2000000 cliques
  526. Tue Jan 19 16:59:56 2021 commencing in-memory singleton removal
  527. Tue Jan 19 17:00:05 2021 begin with 122277268 relations and 100104845 unique ideals
  528. Tue Jan 19 17:01:03 2021 reduce to 122020756 relations and 95422410 ideals in 6 passes
  529. Tue Jan 19 17:01:03 2021 max relations containing the same ideal: 182
  530. Tue Jan 19 17:01:49 2021 removing 6220049 relations and 4220049 ideals in 2000000 cliques
  531. Tue Jan 19 17:01:51 2021 commencing in-memory singleton removal
  532. Tue Jan 19 17:01:59 2021 begin with 115800707 relations and 95422410 unique ideals
  533. Tue Jan 19 17:02:54 2021 reduce to 115554395 relations and 90952230 ideals in 6 passes
  534. Tue Jan 19 17:02:54 2021 max relations containing the same ideal: 176
  535. Tue Jan 19 17:03:38 2021 removing 6084237 relations and 4084237 ideals in 2000000 cliques
  536. Tue Jan 19 17:03:40 2021 commencing in-memory singleton removal
  537. Tue Jan 19 17:03:48 2021 begin with 109470158 relations and 90952230 unique ideals
  538. Tue Jan 19 17:04:40 2021 reduce to 109225273 relations and 86619116 ideals in 6 passes
  539. Tue Jan 19 17:04:40 2021 max relations containing the same ideal: 168
  540. Tue Jan 19 17:05:21 2021 removing 5992536 relations and 3992536 ideals in 2000000 cliques
  541. Tue Jan 19 17:05:23 2021 commencing in-memory singleton removal
  542. Tue Jan 19 17:05:30 2021 begin with 103232737 relations and 86619116 unique ideals
  543. Tue Jan 19 17:06:19 2021 reduce to 102988055 relations and 82377745 ideals in 6 passes
  544. Tue Jan 19 17:06:19 2021 max relations containing the same ideal: 162
  545. Tue Jan 19 17:06:58 2021 removing 5929789 relations and 3929789 ideals in 2000000 cliques
  546. Tue Jan 19 17:07:00 2021 commencing in-memory singleton removal
  547. Tue Jan 19 17:07:07 2021 begin with 97058266 relations and 82377745 unique ideals
  548. Tue Jan 19 17:07:52 2021 reduce to 96807533 relations and 78192793 ideals in 6 passes
  549. Tue Jan 19 17:07:52 2021 max relations containing the same ideal: 156
  550. Tue Jan 19 17:08:29 2021 removing 5884619 relations and 3884619 ideals in 2000000 cliques
  551. Tue Jan 19 17:08:32 2021 commencing in-memory singleton removal
  552. Tue Jan 19 17:08:38 2021 begin with 90922914 relations and 78192793 unique ideals
  553. Tue Jan 19 17:09:20 2021 reduce to 90662099 relations and 74042460 ideals in 6 passes
  554. Tue Jan 19 17:09:20 2021 max relations containing the same ideal: 152
  555. Tue Jan 19 17:09:54 2021 removing 5861295 relations and 3861295 ideals in 2000000 cliques
  556. Tue Jan 19 17:09:57 2021 commencing in-memory singleton removal
  557. Tue Jan 19 17:10:02 2021 begin with 84800804 relations and 74042460 unique ideals
  558. Tue Jan 19 17:10:42 2021 reduce to 84527738 relations and 69902702 ideals in 6 passes
  559. Tue Jan 19 17:10:42 2021 max relations containing the same ideal: 143
  560. Tue Jan 19 17:11:14 2021 removing 5854626 relations and 3854626 ideals in 2000000 cliques
  561. Tue Jan 19 17:11:16 2021 commencing in-memory singleton removal
  562. Tue Jan 19 17:11:21 2021 begin with 78673112 relations and 69902702 unique ideals
  563. Tue Jan 19 17:11:58 2021 reduce to 78383644 relations and 65752429 ideals in 6 passes
  564. Tue Jan 19 17:11:58 2021 max relations containing the same ideal: 137
  565. Tue Jan 19 17:12:28 2021 removing 5861187 relations and 3861187 ideals in 2000000 cliques
  566. Tue Jan 19 17:12:30 2021 commencing in-memory singleton removal
  567. Tue Jan 19 17:12:34 2021 begin with 72522457 relations and 65752429 unique ideals
  568. Tue Jan 19 17:13:07 2021 reduce to 72209493 relations and 61571259 ideals in 6 passes
  569. Tue Jan 19 17:13:07 2021 max relations containing the same ideal: 131
  570. Tue Jan 19 17:13:36 2021 removing 5885201 relations and 3885201 ideals in 2000000 cliques
  571. Tue Jan 19 17:13:38 2021 commencing in-memory singleton removal
  572. Tue Jan 19 17:13:42 2021 begin with 66324292 relations and 61571259 unique ideals
  573. Tue Jan 19 17:14:12 2021 reduce to 65985900 relations and 57339503 ideals in 6 passes
  574. Tue Jan 19 17:14:12 2021 max relations containing the same ideal: 123
  575. Tue Jan 19 17:14:37 2021 removing 5926229 relations and 3926229 ideals in 2000000 cliques
  576. Tue Jan 19 17:14:39 2021 commencing in-memory singleton removal
  577. Tue Jan 19 17:14:43 2021 begin with 60059671 relations and 57339503 unique ideals
  578. Tue Jan 19 17:15:10 2021 reduce to 59684745 relations and 53028576 ideals in 6 passes
  579. Tue Jan 19 17:15:10 2021 max relations containing the same ideal: 113
  580. Tue Jan 19 17:15:34 2021 removing 5982400 relations and 3982400 ideals in 2000000 cliques
  581. Tue Jan 19 17:15:36 2021 commencing in-memory singleton removal
  582. Tue Jan 19 17:15:39 2021 begin with 53702345 relations and 53028576 unique ideals
  583. Tue Jan 19 17:16:07 2021 reduce to 53278098 relations and 48609766 ideals in 7 passes
  584. Tue Jan 19 17:16:07 2021 max relations containing the same ideal: 104
  585. Tue Jan 19 17:16:28 2021 removing 6061767 relations and 4061767 ideals in 2000000 cliques
  586. Tue Jan 19 17:16:30 2021 commencing in-memory singleton removal
  587. Tue Jan 19 17:16:33 2021 begin with 47216331 relations and 48609766 unique ideals
  588. Tue Jan 19 17:17:01 2021 reduce to 46725335 relations and 44041404 ideals in 8 passes
  589. Tue Jan 19 17:17:01 2021 max relations containing the same ideal: 97
  590. Tue Jan 19 17:17:20 2021 removing 5546354 relations and 3786612 ideals in 1759742 cliques
  591. Tue Jan 19 17:17:21 2021 commencing in-memory singleton removal
  592. Tue Jan 19 17:17:24 2021 begin with 41178981 relations and 44041404 unique ideals
  593. Tue Jan 19 17:17:45 2021 reduce to 40693496 relations and 39753399 ideals in 7 passes
  594. Tue Jan 19 17:17:45 2021 max relations containing the same ideal: 91
  595. Tue Jan 19 17:18:01 2021 removing 106242 relations and 90334 ideals in 15908 cliques
  596. Tue Jan 19 17:18:02 2021 commencing in-memory singleton removal
  597. Tue Jan 19 17:18:05 2021 begin with 40587254 relations and 39753399 unique ideals
  598. Tue Jan 19 17:18:16 2021 reduce to 40587095 relations and 39662906 ideals in 4 passes
  599. Tue Jan 19 17:18:16 2021 max relations containing the same ideal: 91
  600. Tue Jan 19 17:18:22 2021 relations with 0 large ideals: 63721
  601. Tue Jan 19 17:18:22 2021 relations with 1 large ideals: 8830
  602. Tue Jan 19 17:18:22 2021 relations with 2 large ideals: 99477
  603. Tue Jan 19 17:18:22 2021 relations with 3 large ideals: 709980
  604. Tue Jan 19 17:18:22 2021 relations with 4 large ideals: 2854627
  605. Tue Jan 19 17:18:22 2021 relations with 5 large ideals: 8324289
  606. Tue Jan 19 17:18:22 2021 relations with 6 large ideals: 10057548
  607. Tue Jan 19 17:18:22 2021 relations with 7+ large ideals: 18468623
  608. Tue Jan 19 17:18:22 2021 commencing 2-way merge
  609. Tue Jan 19 17:18:45 2021 reduce to 28037699 relation sets and 27113510 unique ideals
  610. Tue Jan 19 17:18:45 2021 commencing full merge
  611. Tue Jan 19 17:29:15 2021 memory use: 3518.5 MB
  612. Tue Jan 19 17:29:21 2021 found 12646159 cycles, need 12629710
  613. Tue Jan 19 17:29:22 2021 weight of 12629710 cycles is about 1465574432 (116.04/cycle)
  614. Tue Jan 19 17:29:22 2021 distribution of cycle lengths:
  615. Tue Jan 19 17:29:22 2021 1 relations: 501057
  616. Tue Jan 19 17:29:22 2021 2 relations: 703508
  617. Tue Jan 19 17:29:22 2021 3 relations: 842260
  618. Tue Jan 19 17:29:22 2021 4 relations: 896105
  619. Tue Jan 19 17:29:22 2021 5 relations: 929956
  620. Tue Jan 19 17:29:22 2021 6 relations: 929522
  621. Tue Jan 19 17:29:22 2021 7 relations: 914353
  622. Tue Jan 19 17:29:22 2021 8 relations: 880454
  623. Tue Jan 19 17:29:22 2021 9 relations: 827259
  624. Tue Jan 19 17:29:22 2021 10+ relations: 5205236
  625. Tue Jan 19 17:29:22 2021 heaviest cycle: 28 relations
  626. Tue Jan 19 17:29:27 2021 commencing cycle optimization
  627. Tue Jan 19 17:29:58 2021 start with 114856089 relations
  628. Tue Jan 19 17:35:09 2021 pruned 6064244 relations
  629. Tue Jan 19 17:35:09 2021 memory use: 2874.7 MB
  630. Tue Jan 19 17:35:09 2021 distribution of cycle lengths:
  631. Tue Jan 19 17:35:09 2021 1 relations: 501057
  632. Tue Jan 19 17:35:09 2021 2 relations: 719805
  633. Tue Jan 19 17:35:09 2021 3 relations: 879969
  634. Tue Jan 19 17:35:09 2021 4 relations: 939432
  635. Tue Jan 19 17:35:09 2021 5 relations: 984724
  636. Tue Jan 19 17:35:09 2021 6 relations: 983764
  637. Tue Jan 19 17:35:09 2021 7 relations: 971794
  638. Tue Jan 19 17:35:09 2021 8 relations: 931878
  639. Tue Jan 19 17:35:09 2021 9 relations: 874542
  640. Tue Jan 19 17:35:09 2021 10+ relations: 4842745
  641. Tue Jan 19 17:35:09 2021 heaviest cycle: 28 relations
  642. Tue Jan 19 17:35:48 2021 RelProcTime: 6694
  643. Tue Jan 19 17:35:48 2021
  644. Tue Jan 19 17:35:48 2021 commencing linear algebra
  645. Tue Jan 19 17:35:50 2021 read 12629710 cycles
  646. Tue Jan 19 17:36:19 2021 cycles contain 40130766 unique relations
  647. Tue Jan 19 17:45:21 2021 read 40130766 relations
  648. Tue Jan 19 17:46:49 2021 using 20 quadratic characters above 4294917295
  649. Tue Jan 19 17:49:04 2021 building initial matrix
  650. Tue Jan 19 17:56:05 2021 memory use: 5237.3 MB
  651. Tue Jan 19 17:58:30 2021 read 12629710 cycles
  652. Tue Jan 19 17:58:31 2021 matrix is 12629533 x 12629710 (5755.2 MB) with weight 1639821917 (129.84/col)
  653. Tue Jan 19 17:58:31 2021 sparse part has weight 1369760960 (108.46/col)
  654. Tue Jan 19 18:00:47 2021 filtering completed in 2 passes
  655. Tue Jan 19 18:00:49 2021 matrix is 12629430 x 12629607 (5755.2 MB) with weight 1639818981 (129.84/col)
  656. Tue Jan 19 18:00:49 2021 sparse part has weight 1369760328 (108.46/col)
  657. Tue Jan 19 18:03:37 2021 matrix starts at (0, 0)
  658. Tue Jan 19 18:03:39 2021 matrix is 12629430 x 12629607 (5755.2 MB) with weight 1639818981 (129.84/col)
  659. Tue Jan 19 18:03:39 2021 sparse part has weight 1369760328 (108.46/col)
  660. Tue Jan 19 18:03:39 2021 saving the first 48 matrix rows for later
  661. Tue Jan 19 18:03:40 2021 matrix includes 64 packed rows
  662. Tue Jan 19 18:03:41 2021 matrix is 12629382 x 12629607 (5526.2 MB) with weight 1413560079 (111.92/col)
  663. Tue Jan 19 18:03:41 2021 sparse part has weight 1322355776 (104.70/col)
  664. Tue Jan 19 18:03:41 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  665. Tue Jan 19 18:04:48 2021 commencing Lanczos iteration (16 threads)
  666. Tue Jan 19 18:04:48 2021 memory use: 4738.8 MB
  667. Tue Jan 19 18:05:03 2021 linear algebra at 0.0%, ETA 32h23m
  668. Tue Jan 19 18:05:08 2021 checkpointing every 390000 dimensions
  669. Thu Jan 21 02:48:00 2021 lanczos halted after 199721 iterations (dim = 12629379)
  670. Thu Jan 21 02:48:10 2021 recovered 36 nontrivial dependencies
  671. Thu Jan 21 02:48:15 2021 BLanczosTime: 119547
  672. Thu Jan 21 02:48:15 2021
  673. Thu Jan 21 02:48:15 2021 commencing square root phase
  674. Thu Jan 21 02:48:15 2021 handling dependencies 1 to 64
  675. Thu Jan 21 02:48:15 2021 reading relations for dependency 1
  676. Thu Jan 21 02:48:26 2021 read 6312576 cycles
  677. Thu Jan 21 02:48:40 2021 cycles contain 20059746 unique relations
  678. Thu Jan 21 02:57:38 2021 read 20059746 relations
  679. Thu Jan 21 02:58:59 2021 multiplying 20059746 relations
  680. Thu Jan 21 03:05:17 2021 multiply complete, coefficients have about 579.72 million bits
  681. Thu Jan 21 03:05:19 2021 initial square root is modulo 158863
  682. Thu Jan 21 03:12:17 2021 GCD is 1, no factor found
  683. Thu Jan 21 03:12:17 2021 reading relations for dependency 2
  684. Thu Jan 21 03:12:30 2021 read 6311978 cycles
  685. Thu Jan 21 03:12:43 2021 cycles contain 20058992 unique relations
  686. Thu Jan 21 03:21:42 2021 read 20058992 relations
  687. Thu Jan 21 03:23:01 2021 multiplying 20058992 relations
  688. Thu Jan 21 03:29:20 2021 multiply complete, coefficients have about 579.70 million bits
  689. Thu Jan 21 03:29:22 2021 initial square root is modulo 158777
  690. Thu Jan 21 03:36:19 2021 sqrtTime: 2884
  691. Thu Jan 21 03:36:19 2021 p83 factor: 87194481537532219647451961506971310167337599587206670640874119313576546280898121241
  692. Thu Jan 21 03:36:19 2021 p106 factor: 7591170668434031611802338108136416561364516499562514666236405469544618927002925538552517276369122577257201
  693. Thu Jan 21 03:36:19 2021 elapsed time 35:52:06
  694.  
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