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Mar 10th, 2022
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  1. Sat Mar 5 23:45:24 2022
  2. Sat Mar 5 23:45:24 2022
  3. Sat Mar 5 23:45:24 2022 Msieve v. 1.54 (SVN 1040M)
  4. Sat Mar 5 23:45:24 2022 random seeds: bc8e2535 8d0dbdf2
  5. Sat Mar 5 23:45:24 2022 factoring 2310816615722295220102080492733672721044671266503875020367079565629321086052362111756241373856189001254335375320616767252680978637534275034582109949232818866084049085241722868443040919247517841049773630491277395570712917106937 (226 digits)
  6. Sat Mar 5 23:45:25 2022 searching for 15-digit factors
  7. Sat Mar 5 23:45:25 2022 commencing number field sieve (226-digit input)
  8. Sat Mar 5 23:45:25 2022 R0: -100433627766186892221372630771322662657637687111424552206336
  9. Sat Mar 5 23:45:25 2022 R1: 10301051460877537453973547267843
  10. Sat Mar 5 23:45:25 2022 A0: 9
  11. Sat Mar 5 23:45:25 2022 A1: -18
  12. Sat Mar 5 23:45:25 2022 A2: 18
  13. Sat Mar 5 23:45:25 2022 A3: -12
  14. Sat Mar 5 23:45:25 2022 A4: 4
  15. Sat Mar 5 23:45:25 2022 skew 1.22, size 3.361e-24, alpha 1.559, combined = 2.138e-14 rroots = 0
  16. Sat Mar 5 23:45:25 2022
  17. Sat Mar 5 23:45:25 2022 commencing relation filtering
  18. Sat Mar 5 23:45:25 2022 setting target matrix density to 120.0
  19. Sat Mar 5 23:45:25 2022 estimated available RAM is 32768.0 MB
  20. Sat Mar 5 23:45:25 2022 commencing duplicate removal, pass 1
  21. Sat Mar 5 23:49:10 2022 error -15 reading relation 33986223
  22. Sat Mar 5 23:49:17 2022 error -5 reading relation 35037149
  23. Sat Mar 5 23:57:03 2022 error -15 reading relation 108262300
  24. Sun Mar 6 00:00:35 2022 error -15 reading relation 141814879
  25. Sun Mar 6 00:03:56 2022 error -15 reading relation 175005890
  26. Sun Mar 6 00:04:46 2022 error -1 reading relation 183374642
  27. Sun Mar 6 00:20:47 2022 error -11 reading relation 343582629
  28. Sun Mar 6 00:22:34 2022 skipped 9563 relations with b > 2^32
  29. Sun Mar 6 00:22:34 2022 skipped 2 relations with composite factors
  30. Sun Mar 6 00:22:34 2022 found 27281228 hash collisions in 361293323 relations
  31. Sun Mar 6 00:22:39 2022 added 3657369 free relations
  32. Sun Mar 6 00:22:39 2022 commencing duplicate removal, pass 2
  33. Sun Mar 6 00:38:31 2022 found 3 duplicates and 364950689 unique relations
  34. Sun Mar 6 00:38:31 2022 memory use: 1321.5 MB
  35. Sun Mar 6 00:38:31 2022 reading ideals above 244908032
  36. Sun Mar 6 00:38:31 2022 commencing singleton removal, initial pass
  37. Sun Mar 6 01:04:49 2022 memory use: 6024.0 MB
  38. Sun Mar 6 01:04:50 2022 reading all ideals from disk
  39. Sun Mar 6 01:07:30 2022 memory use: 6695.1 MB
  40. Sun Mar 6 01:07:44 2022 commencing in-memory singleton removal
  41. Sun Mar 6 01:07:58 2022 begin with 364950689 relations and 307194585 unique ideals
  42. Sun Mar 6 01:10:14 2022 reduce to 238730699 relations and 168154035 ideals in 15 passes
  43. Sun Mar 6 01:10:14 2022 max relations containing the same ideal: 56
  44. Sun Mar 6 01:10:43 2022 reading ideals above 720000
  45. Sun Mar 6 01:10:44 2022 commencing singleton removal, initial pass
  46. Sun Mar 6 01:34:23 2022 memory use: 5512.0 MB
  47. Sun Mar 6 01:34:24 2022 reading all ideals from disk
  48. Sun Mar 6 01:38:23 2022 memory use: 9981.0 MB
  49. Sun Mar 6 01:38:46 2022 keeping 193754049 ideals with weight <= 200, target excess is 1229850
  50. Sun Mar 6 01:39:09 2022 commencing in-memory singleton removal
  51. Sun Mar 6 01:39:27 2022 begin with 238730699 relations and 193754049 unique ideals
  52. Sun Mar 6 01:40:47 2022 reduce to 238729027 relations and 193752376 ideals in 5 passes
  53. Sun Mar 6 01:40:47 2022 max relations containing the same ideal: 200
  54. Sun Mar 6 01:42:20 2022 removing 12973058 relations and 10973058 ideals in 2000000 cliques
  55. Sun Mar 6 01:42:26 2022 commencing in-memory singleton removal
  56. Sun Mar 6 01:42:42 2022 begin with 225755969 relations and 193752376 unique ideals
  57. Sun Mar 6 01:44:30 2022 reduce to 225199062 relations and 182215866 ideals in 7 passes
  58. Sun Mar 6 01:44:30 2022 max relations containing the same ideal: 199
  59. Sun Mar 6 01:45:56 2022 removing 9778908 relations and 7778908 ideals in 2000000 cliques
  60. Sun Mar 6 01:46:02 2022 commencing in-memory singleton removal
  61. Sun Mar 6 01:46:18 2022 begin with 215420154 relations and 182215866 unique ideals
  62. Sun Mar 6 01:48:14 2022 reduce to 215066000 relations and 174079319 ideals in 8 passes
  63. Sun Mar 6 01:48:14 2022 max relations containing the same ideal: 195
  64. Sun Mar 6 01:49:38 2022 removing 8784327 relations and 6784327 ideals in 2000000 cliques
  65. Sun Mar 6 01:49:43 2022 commencing in-memory singleton removal
  66. Sun Mar 6 01:49:58 2022 begin with 206281673 relations and 174079319 unique ideals
  67. Sun Mar 6 01:51:34 2022 reduce to 205978652 relations and 166989147 ideals in 7 passes
  68. Sun Mar 6 01:51:34 2022 max relations containing the same ideal: 192
  69. Sun Mar 6 01:52:54 2022 removing 8241277 relations and 6241277 ideals in 2000000 cliques
  70. Sun Mar 6 01:52:59 2022 commencing in-memory singleton removal
  71. Sun Mar 6 01:53:14 2022 begin with 197737375 relations and 166989147 unique ideals
  72. Sun Mar 6 01:54:45 2022 reduce to 197459390 relations and 160467270 ideals in 7 passes
  73. Sun Mar 6 01:54:45 2022 max relations containing the same ideal: 187
  74. Sun Mar 6 01:56:02 2022 removing 7891270 relations and 5891270 ideals in 2000000 cliques
  75. Sun Mar 6 01:56:07 2022 commencing in-memory singleton removal
  76. Sun Mar 6 01:56:20 2022 begin with 189568120 relations and 160467270 unique ideals
  77. Sun Mar 6 01:57:37 2022 reduce to 189302944 relations and 154308284 ideals in 6 passes
  78. Sun Mar 6 01:57:37 2022 max relations containing the same ideal: 182
  79. Sun Mar 6 01:58:50 2022 removing 7647102 relations and 5647102 ideals in 2000000 cliques
  80. Sun Mar 6 01:58:55 2022 commencing in-memory singleton removal
  81. Sun Mar 6 01:59:08 2022 begin with 181655842 relations and 154308284 unique ideals
  82. Sun Mar 6 02:00:32 2022 reduce to 181398581 relations and 148401292 ideals in 7 passes
  83. Sun Mar 6 02:00:32 2022 max relations containing the same ideal: 176
  84. Sun Mar 6 02:01:43 2022 removing 7464205 relations and 5464205 ideals in 2000000 cliques
  85. Sun Mar 6 02:01:48 2022 commencing in-memory singleton removal
  86. Sun Mar 6 02:02:00 2022 begin with 173934376 relations and 148401292 unique ideals
  87. Sun Mar 6 02:03:32 2022 reduce to 173680171 relations and 142680328 ideals in 8 passes
  88. Sun Mar 6 02:03:32 2022 max relations containing the same ideal: 175
  89. Sun Mar 6 02:04:40 2022 removing 7329488 relations and 5329488 ideals in 2000000 cliques
  90. Sun Mar 6 02:04:44 2022 commencing in-memory singleton removal
  91. Sun Mar 6 02:04:56 2022 begin with 166350683 relations and 142680328 unique ideals
  92. Sun Mar 6 02:06:13 2022 reduce to 166095804 relations and 137093234 ideals in 7 passes
  93. Sun Mar 6 02:06:13 2022 max relations containing the same ideal: 171
  94. Sun Mar 6 02:07:18 2022 removing 7228806 relations and 5228806 ideals in 2000000 cliques
  95. Sun Mar 6 02:07:22 2022 commencing in-memory singleton removal
  96. Sun Mar 6 02:07:34 2022 begin with 158866998 relations and 137093234 unique ideals
  97. Sun Mar 6 02:08:46 2022 reduce to 158610425 relations and 131605026 ideals in 7 passes
  98. Sun Mar 6 02:08:46 2022 max relations containing the same ideal: 165
  99. Sun Mar 6 02:09:49 2022 removing 7151495 relations and 5151495 ideals in 2000000 cliques
  100. Sun Mar 6 02:09:53 2022 commencing in-memory singleton removal
  101. Sun Mar 6 02:10:04 2022 begin with 151458930 relations and 131605026 unique ideals
  102. Sun Mar 6 02:11:13 2022 reduce to 151198436 relations and 126190046 ideals in 7 passes
  103. Sun Mar 6 02:11:13 2022 max relations containing the same ideal: 158
  104. Sun Mar 6 02:12:13 2022 removing 7093578 relations and 5093578 ideals in 2000000 cliques
  105. Sun Mar 6 02:12:17 2022 commencing in-memory singleton removal
  106. Sun Mar 6 02:12:27 2022 begin with 144104858 relations and 126190046 unique ideals
  107. Sun Mar 6 02:13:32 2022 reduce to 143838370 relations and 120826586 ideals in 7 passes
  108. Sun Mar 6 02:13:32 2022 max relations containing the same ideal: 152
  109. Sun Mar 6 02:14:29 2022 removing 7055867 relations and 5055867 ideals in 2000000 cliques
  110. Sun Mar 6 02:14:33 2022 commencing in-memory singleton removal
  111. Sun Mar 6 02:14:42 2022 begin with 136782503 relations and 120826586 unique ideals
  112. Sun Mar 6 02:15:44 2022 reduce to 136509715 relations and 115494501 ideals in 7 passes
  113. Sun Mar 6 02:15:44 2022 max relations containing the same ideal: 145
  114. Sun Mar 6 02:16:38 2022 removing 7026102 relations and 5026102 ideals in 2000000 cliques
  115. Sun Mar 6 02:16:42 2022 commencing in-memory singleton removal
  116. Sun Mar 6 02:16:51 2022 begin with 129483613 relations and 115494501 unique ideals
  117. Sun Mar 6 02:17:49 2022 reduce to 129197195 relations and 110178207 ideals in 7 passes
  118. Sun Mar 6 02:17:49 2022 max relations containing the same ideal: 143
  119. Sun Mar 6 02:18:41 2022 removing 7020880 relations and 5020880 ideals in 2000000 cliques
  120. Sun Mar 6 02:18:44 2022 commencing in-memory singleton removal
  121. Sun Mar 6 02:18:52 2022 begin with 122176315 relations and 110178207 unique ideals
  122. Sun Mar 6 02:19:47 2022 reduce to 121878071 relations and 104854904 ideals in 7 passes
  123. Sun Mar 6 02:19:47 2022 max relations containing the same ideal: 139
  124. Sun Mar 6 02:20:36 2022 removing 7018896 relations and 5018896 ideals in 2000000 cliques
  125. Sun Mar 6 02:20:39 2022 commencing in-memory singleton removal
  126. Sun Mar 6 02:20:47 2022 begin with 114859175 relations and 104854904 unique ideals
  127. Sun Mar 6 02:21:37 2022 reduce to 114544278 relations and 99516441 ideals in 7 passes
  128. Sun Mar 6 02:21:37 2022 max relations containing the same ideal: 133
  129. Sun Mar 6 02:22:23 2022 removing 7030951 relations and 5030951 ideals in 2000000 cliques
  130. Sun Mar 6 02:22:26 2022 commencing in-memory singleton removal
  131. Sun Mar 6 02:22:33 2022 begin with 107513327 relations and 99516441 unique ideals
  132. Sun Mar 6 02:23:28 2022 reduce to 107179297 relations and 94146238 ideals in 8 passes
  133. Sun Mar 6 02:23:28 2022 max relations containing the same ideal: 126
  134. Sun Mar 6 02:24:11 2022 removing 7061210 relations and 5061210 ideals in 2000000 cliques
  135. Sun Mar 6 02:24:14 2022 commencing in-memory singleton removal
  136. Sun Mar 6 02:24:21 2022 begin with 100118087 relations and 94146238 unique ideals
  137. Sun Mar 6 02:25:05 2022 reduce to 99758842 relations and 88719828 ideals in 7 passes
  138. Sun Mar 6 02:25:05 2022 max relations containing the same ideal: 120
  139. Sun Mar 6 02:25:46 2022 removing 7101070 relations and 5101070 ideals in 2000000 cliques
  140. Sun Mar 6 02:25:49 2022 commencing in-memory singleton removal
  141. Sun Mar 6 02:25:55 2022 begin with 92657772 relations and 88719828 unique ideals
  142. Sun Mar 6 02:26:35 2022 reduce to 92269013 relations and 83223076 ideals in 7 passes
  143. Sun Mar 6 02:26:35 2022 max relations containing the same ideal: 114
  144. Sun Mar 6 02:27:13 2022 removing 7163087 relations and 5163087 ideals in 2000000 cliques
  145. Sun Mar 6 02:27:16 2022 commencing in-memory singleton removal
  146. Sun Mar 6 02:27:22 2022 begin with 85105926 relations and 83223076 unique ideals
  147. Sun Mar 6 02:27:59 2022 reduce to 84678213 relations and 77624108 ideals in 7 passes
  148. Sun Mar 6 02:27:59 2022 max relations containing the same ideal: 108
  149. Sun Mar 6 02:28:34 2022 removing 7240198 relations and 5240198 ideals in 2000000 cliques
  150. Sun Mar 6 02:28:36 2022 commencing in-memory singleton removal
  151. Sun Mar 6 02:28:42 2022 begin with 77438015 relations and 77624108 unique ideals
  152. Sun Mar 6 02:29:19 2022 reduce to 76962411 relations and 71898562 ideals in 8 passes
  153. Sun Mar 6 02:29:19 2022 max relations containing the same ideal: 100
  154. Sun Mar 6 02:29:51 2022 removing 7341416 relations and 5341416 ideals in 2000000 cliques
  155. Sun Mar 6 02:29:54 2022 commencing in-memory singleton removal
  156. Sun Mar 6 02:29:58 2022 begin with 69620995 relations and 71898562 unique ideals
  157. Sun Mar 6 02:30:28 2022 reduce to 69079812 relations and 66004125 ideals in 7 passes
  158. Sun Mar 6 02:30:28 2022 max relations containing the same ideal: 96
  159. Sun Mar 6 02:30:57 2022 removing 6388323 relations and 4739263 ideals in 1649060 cliques
  160. Sun Mar 6 02:30:59 2022 commencing in-memory singleton removal
  161. Sun Mar 6 02:31:03 2022 begin with 62691489 relations and 66004125 unique ideals
  162. Sun Mar 6 02:31:33 2022 reduce to 62233388 relations and 60797397 ideals in 8 passes
  163. Sun Mar 6 02:31:33 2022 max relations containing the same ideal: 85
  164. Sun Mar 6 02:31:59 2022 removing 79034 relations and 69670 ideals in 9364 cliques
  165. Sun Mar 6 02:32:00 2022 commencing in-memory singleton removal
  166. Sun Mar 6 02:32:04 2022 begin with 62154354 relations and 60797397 unique ideals
  167. Sun Mar 6 02:32:19 2022 reduce to 62154299 relations and 60727672 ideals in 4 passes
  168. Sun Mar 6 02:32:19 2022 max relations containing the same ideal: 85
  169. Sun Mar 6 02:32:27 2022 relations with 0 large ideals: 94976
  170. Sun Mar 6 02:32:27 2022 relations with 1 large ideals: 16752
  171. Sun Mar 6 02:32:27 2022 relations with 2 large ideals: 203707
  172. Sun Mar 6 02:32:27 2022 relations with 3 large ideals: 1383482
  173. Sun Mar 6 02:32:28 2022 relations with 4 large ideals: 5253597
  174. Sun Mar 6 02:32:28 2022 relations with 5 large ideals: 13885748
  175. Sun Mar 6 02:32:28 2022 relations with 6 large ideals: 16097423
  176. Sun Mar 6 02:32:28 2022 relations with 7+ large ideals: 25218614
  177. Sun Mar 6 02:32:28 2022 commencing 2-way merge
  178. Sun Mar 6 02:33:05 2022 reduce to 40205961 relation sets and 38779334 unique ideals
  179. Sun Mar 6 02:33:05 2022 commencing full merge
  180. Sun Mar 6 02:56:57 2022 memory use: 1800.4 MB
  181. Sun Mar 6 02:56:57 2022 found 200101 cycles, need 8697442
  182. Sun Mar 6 02:56:57 2022 too few cycles, matrix probably cannot build
  183. Sun Mar 6 02:56:57 2022 filtering wants 1000000 more relations
  184. Sun Mar 6 02:56:57 2022 elapsed time 03:11:33
  185. Sun Mar 6 09:38:40 2022
  186. Sun Mar 6 09:38:40 2022
  187. Sun Mar 6 09:38:40 2022 Msieve v. 1.54 (SVN 1040M)
  188. Sun Mar 6 09:38:40 2022 random seeds: b3a08a35 b8d449d3
  189. Sun Mar 6 09:38:40 2022 factoring 2310816615722295220102080492733672721044671266503875020367079565629321086052362111756241373856189001254335375320616767252680978637534275034582109949232818866084049085241722868443040919247517841049773630491277395570712917106937 (226 digits)
  190. Sun Mar 6 09:38:41 2022 searching for 15-digit factors
  191. Sun Mar 6 09:38:41 2022 commencing number field sieve (226-digit input)
  192. Sun Mar 6 09:38:41 2022 R0: -100433627766186892221372630771322662657637687111424552206336
  193. Sun Mar 6 09:38:41 2022 R1: 10301051460877537453973547267843
  194. Sun Mar 6 09:38:41 2022 A0: 9
  195. Sun Mar 6 09:38:41 2022 A1: -18
  196. Sun Mar 6 09:38:41 2022 A2: 18
  197. Sun Mar 6 09:38:41 2022 A3: -12
  198. Sun Mar 6 09:38:41 2022 A4: 4
  199. Sun Mar 6 09:38:41 2022 skew 1.22, size 3.361e-24, alpha 1.559, combined = 2.138e-14 rroots = 0
  200. Sun Mar 6 09:38:41 2022
  201. Sun Mar 6 09:38:41 2022 commencing relation filtering
  202. Sun Mar 6 09:38:41 2022 setting target matrix density to 114.0
  203. Sun Mar 6 09:38:41 2022 estimated available RAM is 32768.0 MB
  204. Sun Mar 6 09:38:41 2022 commencing duplicate removal, pass 1
  205. Sun Mar 6 09:42:03 2022 error -15 reading relation 33986223
  206. Sun Mar 6 09:42:09 2022 error -5 reading relation 35037149
  207. Sun Mar 6 09:49:25 2022 error -15 reading relation 108262300
  208. Sun Mar 6 09:52:45 2022 error -15 reading relation 141814879
  209. Sun Mar 6 09:56:03 2022 error -15 reading relation 175005890
  210. Sun Mar 6 09:56:54 2022 error -1 reading relation 183374642
  211. Sun Mar 6 10:12:55 2022 error -11 reading relation 343582629
  212. Sun Mar 6 10:15:00 2022 skipped 9563 relations with b > 2^32
  213. Sun Mar 6 10:15:00 2022 skipped 2 relations with composite factors
  214. Sun Mar 6 10:15:00 2022 found 27806541 hash collisions in 364950692 relations
  215. Sun Mar 6 10:15:00 2022 commencing duplicate removal, pass 2
  216. Sun Mar 6 10:30:52 2022 found 3 duplicates and 364950689 unique relations
  217. Sun Mar 6 10:30:52 2022 memory use: 1321.5 MB
  218. Sun Mar 6 10:30:52 2022 reading ideals above 244908032
  219. Sun Mar 6 10:30:52 2022 commencing singleton removal, initial pass
  220. Sun Mar 6 10:57:10 2022 memory use: 6024.0 MB
  221. Sun Mar 6 10:57:10 2022 reading all ideals from disk
  222. Sun Mar 6 10:59:51 2022 memory use: 6695.1 MB
  223. Sun Mar 6 11:00:05 2022 commencing in-memory singleton removal
  224. Sun Mar 6 11:00:18 2022 begin with 364950689 relations and 307194585 unique ideals
  225. Sun Mar 6 11:02:35 2022 reduce to 238730699 relations and 168154035 ideals in 15 passes
  226. Sun Mar 6 11:02:35 2022 max relations containing the same ideal: 56
  227. Sun Mar 6 11:03:04 2022 reading ideals above 720000
  228. Sun Mar 6 11:03:04 2022 commencing singleton removal, initial pass
  229. Sun Mar 6 11:26:38 2022 memory use: 5512.0 MB
  230. Sun Mar 6 11:26:38 2022 reading all ideals from disk
  231. Sun Mar 6 11:30:37 2022 memory use: 9981.0 MB
  232. Sun Mar 6 11:31:00 2022 keeping 193754049 ideals with weight <= 200, target excess is 1229850
  233. Sun Mar 6 11:31:24 2022 commencing in-memory singleton removal
  234. Sun Mar 6 11:31:41 2022 begin with 238730699 relations and 193754049 unique ideals
  235. Sun Mar 6 11:33:01 2022 reduce to 238729027 relations and 193752376 ideals in 5 passes
  236. Sun Mar 6 11:33:01 2022 max relations containing the same ideal: 200
  237. Sun Mar 6 11:34:34 2022 removing 12973058 relations and 10973058 ideals in 2000000 cliques
  238. Sun Mar 6 11:34:40 2022 commencing in-memory singleton removal
  239. Sun Mar 6 11:34:57 2022 begin with 225755969 relations and 193752376 unique ideals
  240. Sun Mar 6 11:36:43 2022 reduce to 225199062 relations and 182215866 ideals in 7 passes
  241. Sun Mar 6 11:36:43 2022 max relations containing the same ideal: 199
  242. Sun Mar 6 11:38:11 2022 removing 9778908 relations and 7778908 ideals in 2000000 cliques
  243. Sun Mar 6 11:38:16 2022 commencing in-memory singleton removal
  244. Sun Mar 6 11:38:32 2022 begin with 215420154 relations and 182215866 unique ideals
  245. Sun Mar 6 11:40:27 2022 reduce to 215066000 relations and 174079319 ideals in 8 passes
  246. Sun Mar 6 11:40:27 2022 max relations containing the same ideal: 195
  247. Sun Mar 6 11:41:51 2022 removing 8784327 relations and 6784327 ideals in 2000000 cliques
  248. Sun Mar 6 11:41:56 2022 commencing in-memory singleton removal
  249. Sun Mar 6 11:42:11 2022 begin with 206281673 relations and 174079319 unique ideals
  250. Sun Mar 6 11:43:48 2022 reduce to 205978652 relations and 166989147 ideals in 7 passes
  251. Sun Mar 6 11:43:48 2022 max relations containing the same ideal: 192
  252. Sun Mar 6 11:45:09 2022 removing 8241277 relations and 6241277 ideals in 2000000 cliques
  253. Sun Mar 6 11:45:14 2022 commencing in-memory singleton removal
  254. Sun Mar 6 11:45:28 2022 begin with 197737375 relations and 166989147 unique ideals
  255. Sun Mar 6 11:47:00 2022 reduce to 197459390 relations and 160467270 ideals in 7 passes
  256. Sun Mar 6 11:47:00 2022 max relations containing the same ideal: 187
  257. Sun Mar 6 11:48:17 2022 removing 7891270 relations and 5891270 ideals in 2000000 cliques
  258. Sun Mar 6 11:48:22 2022 commencing in-memory singleton removal
  259. Sun Mar 6 11:48:36 2022 begin with 189568120 relations and 160467270 unique ideals
  260. Sun Mar 6 11:49:52 2022 reduce to 189302944 relations and 154308284 ideals in 6 passes
  261. Sun Mar 6 11:49:52 2022 max relations containing the same ideal: 182
  262. Sun Mar 6 11:51:06 2022 removing 7647102 relations and 5647102 ideals in 2000000 cliques
  263. Sun Mar 6 11:51:11 2022 commencing in-memory singleton removal
  264. Sun Mar 6 11:51:24 2022 begin with 181655842 relations and 154308284 unique ideals
  265. Sun Mar 6 11:52:49 2022 reduce to 181398581 relations and 148401292 ideals in 7 passes
  266. Sun Mar 6 11:52:49 2022 max relations containing the same ideal: 176
  267. Sun Mar 6 11:54:00 2022 removing 7464205 relations and 5464205 ideals in 2000000 cliques
  268. Sun Mar 6 11:54:04 2022 commencing in-memory singleton removal
  269. Sun Mar 6 11:54:17 2022 begin with 173934376 relations and 148401292 unique ideals
  270. Sun Mar 6 11:55:49 2022 reduce to 173680171 relations and 142680328 ideals in 8 passes
  271. Sun Mar 6 11:55:49 2022 max relations containing the same ideal: 175
  272. Sun Mar 6 11:56:58 2022 removing 7329488 relations and 5329488 ideals in 2000000 cliques
  273. Sun Mar 6 11:57:02 2022 commencing in-memory singleton removal
  274. Sun Mar 6 11:57:14 2022 begin with 166350683 relations and 142680328 unique ideals
  275. Sun Mar 6 11:58:30 2022 reduce to 166095804 relations and 137093234 ideals in 7 passes
  276. Sun Mar 6 11:58:30 2022 max relations containing the same ideal: 171
  277. Sun Mar 6 11:59:36 2022 removing 7228806 relations and 5228806 ideals in 2000000 cliques
  278. Sun Mar 6 11:59:40 2022 commencing in-memory singleton removal
  279. Sun Mar 6 11:59:51 2022 begin with 158866998 relations and 137093234 unique ideals
  280. Sun Mar 6 12:01:05 2022 reduce to 158610425 relations and 131605026 ideals in 7 passes
  281. Sun Mar 6 12:01:05 2022 max relations containing the same ideal: 165
  282. Sun Mar 6 12:02:08 2022 removing 7151495 relations and 5151495 ideals in 2000000 cliques
  283. Sun Mar 6 12:02:12 2022 commencing in-memory singleton removal
  284. Sun Mar 6 12:02:23 2022 begin with 151458930 relations and 131605026 unique ideals
  285. Sun Mar 6 12:03:33 2022 reduce to 151198436 relations and 126190046 ideals in 7 passes
  286. Sun Mar 6 12:03:33 2022 max relations containing the same ideal: 158
  287. Sun Mar 6 12:04:33 2022 removing 7093578 relations and 5093578 ideals in 2000000 cliques
  288. Sun Mar 6 12:04:37 2022 commencing in-memory singleton removal
  289. Sun Mar 6 12:04:47 2022 begin with 144104858 relations and 126190046 unique ideals
  290. Sun Mar 6 12:05:52 2022 reduce to 143838370 relations and 120826586 ideals in 7 passes
  291. Sun Mar 6 12:05:52 2022 max relations containing the same ideal: 152
  292. Sun Mar 6 12:06:50 2022 removing 7055867 relations and 5055867 ideals in 2000000 cliques
  293. Sun Mar 6 12:06:53 2022 commencing in-memory singleton removal
  294. Sun Mar 6 12:07:03 2022 begin with 136782503 relations and 120826586 unique ideals
  295. Sun Mar 6 12:08:04 2022 reduce to 136509715 relations and 115494501 ideals in 7 passes
  296. Sun Mar 6 12:08:04 2022 max relations containing the same ideal: 145
  297. Sun Mar 6 12:08:58 2022 removing 7026102 relations and 5026102 ideals in 2000000 cliques
  298. Sun Mar 6 12:09:02 2022 commencing in-memory singleton removal
  299. Sun Mar 6 12:09:11 2022 begin with 129483613 relations and 115494501 unique ideals
  300. Sun Mar 6 12:10:09 2022 reduce to 129197195 relations and 110178207 ideals in 7 passes
  301. Sun Mar 6 12:10:09 2022 max relations containing the same ideal: 143
  302. Sun Mar 6 12:11:00 2022 removing 7020880 relations and 5020880 ideals in 2000000 cliques
  303. Sun Mar 6 12:11:04 2022 commencing in-memory singleton removal
  304. Sun Mar 6 12:11:12 2022 begin with 122176315 relations and 110178207 unique ideals
  305. Sun Mar 6 12:12:07 2022 reduce to 121878071 relations and 104854904 ideals in 7 passes
  306. Sun Mar 6 12:12:07 2022 max relations containing the same ideal: 139
  307. Sun Mar 6 12:12:56 2022 removing 7018896 relations and 5018896 ideals in 2000000 cliques
  308. Sun Mar 6 12:12:59 2022 commencing in-memory singleton removal
  309. Sun Mar 6 12:13:07 2022 begin with 114859175 relations and 104854904 unique ideals
  310. Sun Mar 6 12:13:58 2022 reduce to 114544278 relations and 99516441 ideals in 7 passes
  311. Sun Mar 6 12:13:58 2022 max relations containing the same ideal: 133
  312. Sun Mar 6 12:14:44 2022 removing 7030951 relations and 5030951 ideals in 2000000 cliques
  313. Sun Mar 6 12:14:48 2022 commencing in-memory singleton removal
  314. Sun Mar 6 12:14:55 2022 begin with 107513327 relations and 99516441 unique ideals
  315. Sun Mar 6 12:15:49 2022 reduce to 107179297 relations and 94146238 ideals in 8 passes
  316. Sun Mar 6 12:15:49 2022 max relations containing the same ideal: 126
  317. Sun Mar 6 12:16:33 2022 removing 7061210 relations and 5061210 ideals in 2000000 cliques
  318. Sun Mar 6 12:16:36 2022 commencing in-memory singleton removal
  319. Sun Mar 6 12:16:42 2022 begin with 100118087 relations and 94146238 unique ideals
  320. Sun Mar 6 12:17:26 2022 reduce to 99758842 relations and 88719828 ideals in 7 passes
  321. Sun Mar 6 12:17:26 2022 max relations containing the same ideal: 120
  322. Sun Mar 6 12:18:07 2022 removing 7101070 relations and 5101070 ideals in 2000000 cliques
  323. Sun Mar 6 12:18:10 2022 commencing in-memory singleton removal
  324. Sun Mar 6 12:18:16 2022 begin with 92657772 relations and 88719828 unique ideals
  325. Sun Mar 6 12:18:57 2022 reduce to 92269013 relations and 83223076 ideals in 7 passes
  326. Sun Mar 6 12:18:57 2022 max relations containing the same ideal: 114
  327. Sun Mar 6 12:19:35 2022 removing 7163087 relations and 5163087 ideals in 2000000 cliques
  328. Sun Mar 6 12:19:38 2022 commencing in-memory singleton removal
  329. Sun Mar 6 12:19:43 2022 begin with 85105926 relations and 83223076 unique ideals
  330. Sun Mar 6 12:20:20 2022 reduce to 84678213 relations and 77624108 ideals in 7 passes
  331. Sun Mar 6 12:20:20 2022 max relations containing the same ideal: 108
  332. Sun Mar 6 12:20:55 2022 removing 7240198 relations and 5240198 ideals in 2000000 cliques
  333. Sun Mar 6 12:20:58 2022 commencing in-memory singleton removal
  334. Sun Mar 6 12:21:03 2022 begin with 77438015 relations and 77624108 unique ideals
  335. Sun Mar 6 12:21:41 2022 reduce to 76962411 relations and 71898562 ideals in 8 passes
  336. Sun Mar 6 12:21:41 2022 max relations containing the same ideal: 100
  337. Sun Mar 6 12:22:13 2022 removing 7341416 relations and 5341416 ideals in 2000000 cliques
  338. Sun Mar 6 12:22:15 2022 commencing in-memory singleton removal
  339. Sun Mar 6 12:22:20 2022 begin with 69620995 relations and 71898562 unique ideals
  340. Sun Mar 6 12:22:49 2022 reduce to 69079812 relations and 66004125 ideals in 7 passes
  341. Sun Mar 6 12:22:49 2022 max relations containing the same ideal: 96
  342. Sun Mar 6 12:23:19 2022 removing 6388323 relations and 4739263 ideals in 1649060 cliques
  343. Sun Mar 6 12:23:21 2022 commencing in-memory singleton removal
  344. Sun Mar 6 12:23:25 2022 begin with 62691489 relations and 66004125 unique ideals
  345. Sun Mar 6 12:23:55 2022 reduce to 62233388 relations and 60797397 ideals in 8 passes
  346. Sun Mar 6 12:23:55 2022 max relations containing the same ideal: 85
  347. Sun Mar 6 12:24:21 2022 removing 79034 relations and 69670 ideals in 9364 cliques
  348. Sun Mar 6 12:24:23 2022 commencing in-memory singleton removal
  349. Sun Mar 6 12:24:27 2022 begin with 62154354 relations and 60797397 unique ideals
  350. Sun Mar 6 12:24:41 2022 reduce to 62154299 relations and 60727672 ideals in 4 passes
  351. Sun Mar 6 12:24:41 2022 max relations containing the same ideal: 85
  352. Sun Mar 6 12:24:50 2022 relations with 0 large ideals: 94976
  353. Sun Mar 6 12:24:50 2022 relations with 1 large ideals: 16752
  354. Sun Mar 6 12:24:50 2022 relations with 2 large ideals: 203707
  355. Sun Mar 6 12:24:50 2022 relations with 3 large ideals: 1383482
  356. Sun Mar 6 12:24:50 2022 relations with 4 large ideals: 5253597
  357. Sun Mar 6 12:24:50 2022 relations with 5 large ideals: 13885748
  358. Sun Mar 6 12:24:50 2022 relations with 6 large ideals: 16097423
  359. Sun Mar 6 12:24:50 2022 relations with 7+ large ideals: 25218614
  360. Sun Mar 6 12:24:50 2022 commencing 2-way merge
  361. Sun Mar 6 12:25:27 2022 reduce to 40205961 relation sets and 38779334 unique ideals
  362. Sun Mar 6 12:25:28 2022 commencing full merge
  363. Sun Mar 6 12:38:21 2022 memory use: 4944.2 MB
  364. Sun Mar 6 12:38:27 2022 found 18091060 cycles, need 18065534
  365. Sun Mar 6 12:38:28 2022 weight of 18065534 cycles is about 2060192218 (114.04/cycle)
  366. Sun Mar 6 12:38:28 2022 distribution of cycle lengths:
  367. Sun Mar 6 12:38:28 2022 1 relations: 1045410
  368. Sun Mar 6 12:38:28 2022 2 relations: 1179949
  369. Sun Mar 6 12:38:28 2022 3 relations: 1247967
  370. Sun Mar 6 12:38:28 2022 4 relations: 1261028
  371. Sun Mar 6 12:38:28 2022 5 relations: 1257594
  372. Sun Mar 6 12:38:28 2022 6 relations: 1241018
  373. Sun Mar 6 12:38:28 2022 7 relations: 1209093
  374. Sun Mar 6 12:38:28 2022 8 relations: 1161867
  375. Sun Mar 6 12:38:28 2022 9 relations: 1098934
  376. Sun Mar 6 12:38:28 2022 10+ relations: 7362674
  377. Sun Mar 6 12:38:28 2022 heaviest cycle: 28 relations
  378. Sun Mar 6 12:38:33 2022 commencing cycle optimization
  379. Sun Mar 6 12:39:03 2022 start with 161905430 relations
  380. Sun Mar 6 12:45:30 2022 pruned 7316210 relations
  381. Sun Mar 6 12:45:30 2022 memory use: 4230.4 MB
  382. Sun Mar 6 12:45:30 2022 distribution of cycle lengths:
  383. Sun Mar 6 12:45:30 2022 1 relations: 1045410
  384. Sun Mar 6 12:45:30 2022 2 relations: 1202717
  385. Sun Mar 6 12:45:30 2022 3 relations: 1296143
  386. Sun Mar 6 12:45:30 2022 4 relations: 1310729
  387. Sun Mar 6 12:45:30 2022 5 relations: 1318941
  388. Sun Mar 6 12:45:30 2022 6 relations: 1299010
  389. Sun Mar 6 12:45:30 2022 7 relations: 1271349
  390. Sun Mar 6 12:45:30 2022 8 relations: 1216335
  391. Sun Mar 6 12:45:30 2022 9 relations: 1151323
  392. Sun Mar 6 12:45:30 2022 10+ relations: 6953577
  393. Sun Mar 6 12:45:30 2022 heaviest cycle: 28 relations
  394. Sun Mar 6 12:45:57 2022 RelProcTime: 11236
  395. Sun Mar 6 12:45:57 2022
  396. Sun Mar 6 12:45:57 2022 commencing linear algebra
  397. Sun Mar 6 12:45:59 2022 read 18065534 cycles
  398. Sun Mar 6 12:46:41 2022 cycles contain 61320787 unique relations
  399. Sun Mar 6 13:02:46 2022 read 61320787 relations
  400. Sun Mar 6 13:05:18 2022 using 20 quadratic characters above 4294917295
  401. Sun Mar 6 13:08:57 2022 building initial matrix
  402. Sun Mar 6 13:18:15 2022 memory use: 7756.6 MB
  403. Sun Mar 6 13:21:39 2022 read 18065534 cycles
  404. Sun Mar 6 13:21:41 2022 matrix is 18065357 x 18065534 (8186.2 MB) with weight 2322845423 (128.58/col)
  405. Sun Mar 6 13:21:41 2022 sparse part has weight 1947235309 (107.79/col)
  406. Sun Mar 6 13:24:59 2022 filtering completed in 2 passes
  407. Sun Mar 6 13:25:01 2022 matrix is 18065081 x 18065258 (8186.1 MB) with weight 2322836457 (128.58/col)
  408. Sun Mar 6 13:25:01 2022 sparse part has weight 1947232267 (107.79/col)
  409. Sun Mar 6 13:29:05 2022 matrix starts at (0, 0)
  410. Sun Mar 6 13:29:07 2022 matrix is 18065081 x 18065258 (8186.1 MB) with weight 2322836457 (128.58/col)
  411. Sun Mar 6 13:29:07 2022 sparse part has weight 1947232267 (107.79/col)
  412. Sun Mar 6 13:29:07 2022 saving the first 48 matrix rows for later
  413. Sun Mar 6 13:29:10 2022 matrix includes 64 packed rows
  414. Sun Mar 6 13:29:11 2022 matrix is 18065033 x 18065258 (7833.1 MB) with weight 1997921973 (110.59/col)
  415. Sun Mar 6 13:29:11 2022 sparse part has weight 1872751797 (103.67/col)
  416. Sun Mar 6 13:29:11 2022 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  417. Sun Mar 6 13:30:15 2022 commencing Lanczos iteration (16 threads)
  418. Sun Mar 6 13:30:15 2022 memory use: 7609.4 MB
  419. Sun Mar 6 13:30:39 2022 linear algebra at 0.0%, ETA 76h19m
  420. Sun Mar 6 13:30:46 2022 checkpointing every 250000 dimensions
  421. Tue Mar 8 18:07:06 2022
  422. Tue Mar 8 18:07:06 2022
  423. Tue Mar 8 18:07:06 2022 Msieve v. 1.54 (SVN 1040M)
  424. Tue Mar 8 18:07:06 2022 random seeds: 888c9b7a 05fb387e
  425. Tue Mar 8 18:07:06 2022 factoring 2310816615722295220102080492733672721044671266503875020367079565629321086052362111756241373856189001254335375320616767252680978637534275034582109949232818866084049085241722868443040919247517841049773630491277395570712917106937 (226 digits)
  426. Tue Mar 8 18:07:07 2022 searching for 15-digit factors
  427. Tue Mar 8 18:07:07 2022 commencing number field sieve (226-digit input)
  428. Tue Mar 8 18:07:07 2022 R0: -100433627766186892221372630771322662657637687111424552206336
  429. Tue Mar 8 18:07:07 2022 R1: 10301051460877537453973547267843
  430. Tue Mar 8 18:07:07 2022 A0: 9
  431. Tue Mar 8 18:07:07 2022 A1: -18
  432. Tue Mar 8 18:07:07 2022 A2: 18
  433. Tue Mar 8 18:07:07 2022 A3: -12
  434. Tue Mar 8 18:07:07 2022 A4: 4
  435. Tue Mar 8 18:07:07 2022 skew 1.22, size 3.361e-24, alpha 1.559, combined = 2.138e-14 rroots = 0
  436. Tue Mar 8 18:07:07 2022
  437. Tue Mar 8 18:07:07 2022 commencing linear algebra
  438. Tue Mar 8 18:10:07 2022 matrix starts at (0, 0)
  439. Tue Mar 8 18:10:08 2022 matrix is 18065081 x 18065258 (8186.1 MB) with weight 2322836457 (128.58/col)
  440. Tue Mar 8 18:10:08 2022 sparse part has weight 1947232267 (107.79/col)
  441. Tue Mar 8 18:10:08 2022 saving the first 48 matrix rows for later
  442. Tue Mar 8 18:10:11 2022 matrix includes 64 packed rows
  443. Tue Mar 8 18:10:12 2022 matrix is 18065033 x 18065258 (7833.1 MB) with weight 1997921973 (110.59/col)
  444. Tue Mar 8 18:10:12 2022 sparse part has weight 1872751797 (103.67/col)
  445. Tue Mar 8 18:10:12 2022 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  446. Tue Mar 8 18:11:16 2022 commencing Lanczos iteration (16 threads)
  447. Tue Mar 8 18:11:16 2022 memory use: 7609.4 MB
  448. Tue Mar 8 18:11:32 2022 restarting at iteration 201628 (dim = 12750046)
  449. Tue Mar 8 18:11:55 2022 linear algebra at 70.6%, ETA 22h22m
  450. Tue Mar 8 18:12:02 2022 checkpointing every 240000 dimensions
  451. Wed Mar 9 10:25:33 2022
  452. Wed Mar 9 10:25:33 2022
  453. Wed Mar 9 10:25:33 2022 Msieve v. 1.54 (SVN 1040M)
  454. Wed Mar 9 10:25:33 2022 random seeds: 5f87eec1 eafba8c4
  455. Wed Mar 9 10:25:33 2022 factoring 2310816615722295220102080492733672721044671266503875020367079565629321086052362111756241373856189001254335375320616767252680978637534275034582109949232818866084049085241722868443040919247517841049773630491277395570712917106937 (226 digits)
  456. Wed Mar 9 10:25:34 2022 searching for 15-digit factors
  457. Wed Mar 9 10:25:34 2022 commencing number field sieve (226-digit input)
  458. Wed Mar 9 10:25:34 2022 R0: -100433627766186892221372630771322662657637687111424552206336
  459. Wed Mar 9 10:25:34 2022 R1: 10301051460877537453973547267843
  460. Wed Mar 9 10:25:34 2022 A0: 9
  461. Wed Mar 9 10:25:34 2022 A1: -18
  462. Wed Mar 9 10:25:34 2022 A2: 18
  463. Wed Mar 9 10:25:34 2022 A3: -12
  464. Wed Mar 9 10:25:34 2022 A4: 4
  465. Wed Mar 9 10:25:34 2022 skew 1.22, size 3.361e-24, alpha 1.559, combined = 2.138e-14 rroots = 0
  466. Wed Mar 9 10:25:34 2022
  467. Wed Mar 9 10:25:34 2022 commencing linear algebra
  468. Wed Mar 9 10:28:35 2022 matrix starts at (0, 0)
  469. Wed Mar 9 10:28:48 2022 matrix is 18065081 x 18065258 (8186.1 MB) with weight 2322836457 (128.58/col)
  470. Wed Mar 9 10:28:48 2022 sparse part has weight 1947232267 (107.79/col)
  471. Wed Mar 9 10:28:48 2022 saving the first 48 matrix rows for later
  472. Wed Mar 9 10:28:54 2022 matrix includes 64 packed rows
  473. Wed Mar 9 10:28:56 2022 matrix is 18065033 x 18065258 (7833.1 MB) with weight 1997921973 (110.59/col)
  474. Wed Mar 9 10:28:56 2022 sparse part has weight 1872751797 (103.67/col)
  475. Wed Mar 9 10:28:56 2022 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  476. Wed Mar 9 10:30:05 2022 commencing Lanczos iteration (16 threads)
  477. Wed Mar 9 10:30:05 2022 memory use: 7609.4 MB
  478. Wed Mar 9 10:30:21 2022 restarting at iteration 201628 (dim = 12750046)
  479. Wed Mar 9 10:30:47 2022 linear algebra at 70.6%, ETA 25h17m
  480. Wed Mar 9 10:30:55 2022 checkpointing every 210000 dimensions
  481. Thu Mar 10 08:07:02 2022 lanczos halted after 285679 iterations (dim = 18065029)
  482. Thu Mar 10 08:07:19 2022 recovered 35 nontrivial dependencies
  483. Thu Mar 10 08:07:34 2022 BLanczosTime: 78120
  484. Thu Mar 10 08:07:34 2022
  485. Thu Mar 10 08:07:34 2022 commencing square root phase
  486. Thu Mar 10 08:07:34 2022 reading relations for dependency 1
  487. Thu Mar 10 08:07:50 2022 read 9029649 cycles
  488. Thu Mar 10 08:08:08 2022 cycles contain 30655964 unique relations
  489. Thu Mar 10 08:24:09 2022 read 30655964 relations
  490. Thu Mar 10 08:26:08 2022 multiplying 30655964 relations
  491. Thu Mar 10 08:36:06 2022 multiply complete, coefficients have about 887.19 million bits
  492. Thu Mar 10 08:36:08 2022 warning: no irreducible prime found, switching to small primes
  493. Thu Mar 10 08:36:08 2022 initial square root is modulo 53
  494. Thu Mar 10 09:01:42 2022 Newton iteration failed to converge
  495. Thu Mar 10 09:01:42 2022 algebraic square root failed
  496. Thu Mar 10 09:01:42 2022 reading relations for dependency 2
  497. Thu Mar 10 09:02:01 2022 read 9032498 cycles
  498. Thu Mar 10 09:02:20 2022 cycles contain 30661292 unique relations
  499. Thu Mar 10 09:18:20 2022 read 30661292 relations
  500. Thu Mar 10 09:20:25 2022 multiplying 30661292 relations
  501. Thu Mar 10 09:30:48 2022 multiply complete, coefficients have about 887.36 million bits
  502. Thu Mar 10 09:30:50 2022 warning: no irreducible prime found, switching to small primes
  503. Thu Mar 10 09:30:50 2022 initial square root is modulo 53
  504. Thu Mar 10 09:54:37 2022 sqrtTime: 6423
  505. Thu Mar 10 09:54:37 2022 p83 factor: 25795021000288471829512722280109368888630885235958163898197774208748622283950178809
  506. Thu Mar 10 09:54:37 2022 p143 factor: 89583823781203853664673166920668967691627414349113496870647896007311922987112722003420128667570751772950374071173154824865606714936949308315393
  507. Thu Mar 10 09:54:37 2022 elapsed time 23:29:04
  508.  
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