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Mar 22nd, 2022
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  1. Sat Mar 19 22:11:33 2022
  2. Sat Mar 19 22:11:33 2022
  3. Sat Mar 19 22:11:33 2022 Msieve v. 1.54 (SVN 1040M)
  4. Sat Mar 19 22:11:33 2022 random seeds: 0c753a3e 369a11d7
  5. Sat Mar 19 22:11:33 2022 factoring 1350872366946090935056059296879491581002005646059700802359454035513008730498298808685203195085142436073615149011559333058816162978238818959084242569301395890887217531261929477924397448314567011799166352011282568751 (214 digits)
  6. Sat Mar 19 22:11:34 2022 searching for 15-digit factors
  7. Sat Mar 19 22:11:34 2022 commencing number field sieve (214-digit input)
  8. Sat Mar 19 22:11:34 2022 R0: 436673502879206784130402698570834024654748577491697818855443
  9. Sat Mar 19 22:11:34 2022 R1: -42535295865117307932921825928971026432
  10. Sat Mar 19 22:11:34 2022 A0: 1
  11. Sat Mar 19 22:11:34 2022 A1: -1
  12. Sat Mar 19 22:11:34 2022 A2: 1
  13. Sat Mar 19 22:11:34 2022 A3: -1
  14. Sat Mar 19 22:11:34 2022 A4: 1
  15. Sat Mar 19 22:11:34 2022 skew 1.00, size 2.851e-24, alpha 1.694, combined = 1.836e-14 rroots = 0
  16. Sat Mar 19 22:11:34 2022
  17. Sat Mar 19 22:11:34 2022 commencing relation filtering
  18. Sat Mar 19 22:11:34 2022 setting target matrix density to 120.0
  19. Sat Mar 19 22:11:34 2022 estimated available RAM is 32768.0 MB
  20. Sat Mar 19 22:11:34 2022 commencing duplicate removal, pass 1
  21. Sat Mar 19 22:15:03 2022 error -15 reading relation 30848681
  22. Sat Mar 19 22:15:20 2022 error -15 reading relation 33406321
  23. Sat Mar 19 22:53:32 2022 error -15 reading relation 411308647
  24. Sat Mar 19 22:59:13 2022 error -15 reading relation 468399823
  25. Sat Mar 19 23:01:15 2022 error -11 reading relation 488872953
  26. Sat Mar 19 23:03:09 2022 skipped 19921 relations with b > 2^32
  27. Sat Mar 19 23:03:09 2022 skipped 4 relations with composite factors
  28. Sat Mar 19 23:03:09 2022 found 51591131 hash collisions in 507817644 relations
  29. Sat Mar 19 23:03:14 2022 added 3657741 free relations
  30. Sat Mar 19 23:03:14 2022 commencing duplicate removal, pass 2
  31. Sat Mar 19 23:25:38 2022 found 1 duplicates and 511475384 unique relations
  32. Sat Mar 19 23:25:38 2022 memory use: 2259.0 MB
  33. Sat Mar 19 23:25:38 2022 reading ideals above 280035328
  34. Sat Mar 19 23:25:38 2022 commencing singleton removal, initial pass
  35. Sun Mar 20 00:02:58 2022 memory use: 11024.0 MB
  36. Sun Mar 20 00:02:58 2022 reading all ideals from disk
  37. Sun Mar 20 00:06:41 2022 memory use: 9270.7 MB
  38. Sun Mar 20 00:07:00 2022 commencing in-memory singleton removal
  39. Sun Mar 20 00:07:20 2022 begin with 511475384 relations and 391125531 unique ideals
  40. Sun Mar 20 00:10:10 2022 reduce to 375374380 relations and 245038120 ideals in 12 passes
  41. Sun Mar 20 00:10:10 2022 max relations containing the same ideal: 37
  42. Sun Mar 20 00:10:56 2022 reading ideals above 720000
  43. Sun Mar 20 00:10:56 2022 commencing singleton removal, initial pass
  44. Sun Mar 20 00:47:35 2022 memory use: 6024.0 MB
  45. Sun Mar 20 00:47:35 2022 reading all ideals from disk
  46. Sun Mar 20 00:53:55 2022 memory use: 15703.9 MB
  47. Sun Mar 20 00:54:40 2022 keeping 273547787 ideals with weight <= 200, target excess is 1945012
  48. Sun Mar 20 00:55:21 2022 commencing in-memory singleton removal
  49. Sun Mar 20 00:55:48 2022 begin with 375374380 relations and 273547787 unique ideals
  50. Sun Mar 20 00:58:20 2022 reduce to 375373367 relations and 273546774 ideals in 6 passes
  51. Sun Mar 20 00:58:20 2022 max relations containing the same ideal: 200
  52. Sun Mar 20 01:00:33 2022 removing 10947029 relations and 8947029 ideals in 2000000 cliques
  53. Sun Mar 20 01:00:41 2022 commencing in-memory singleton removal
  54. Sun Mar 20 01:01:07 2022 begin with 364426338 relations and 273546774 unique ideals
  55. Sun Mar 20 01:04:01 2022 reduce to 364175508 relations and 264347002 ideals in 7 passes
  56. Sun Mar 20 01:04:01 2022 max relations containing the same ideal: 200
  57. Sun Mar 20 01:06:10 2022 removing 8421506 relations and 6421506 ideals in 2000000 cliques
  58. Sun Mar 20 01:06:18 2022 commencing in-memory singleton removal
  59. Sun Mar 20 01:06:44 2022 begin with 355754002 relations and 264347002 unique ideals
  60. Sun Mar 20 01:09:32 2022 reduce to 355586977 relations and 257757380 ideals in 7 passes
  61. Sun Mar 20 01:09:32 2022 max relations containing the same ideal: 200
  62. Sun Mar 20 01:11:38 2022 removing 7628936 relations and 5628936 ideals in 2000000 cliques
  63. Sun Mar 20 01:11:46 2022 commencing in-memory singleton removal
  64. Sun Mar 20 01:12:11 2022 begin with 347958041 relations and 257757380 unique ideals
  65. Sun Mar 20 01:14:32 2022 reduce to 347814810 relations and 251984284 ideals in 6 passes
  66. Sun Mar 20 01:14:32 2022 max relations containing the same ideal: 198
  67. Sun Mar 20 01:16:35 2022 removing 7182748 relations and 5182748 ideals in 2000000 cliques
  68. Sun Mar 20 01:16:42 2022 commencing in-memory singleton removal
  69. Sun Mar 20 01:17:07 2022 begin with 340632062 relations and 251984284 unique ideals
  70. Sun Mar 20 01:19:24 2022 reduce to 340500240 relations and 246668883 ideals in 6 passes
  71. Sun Mar 20 01:19:24 2022 max relations containing the same ideal: 196
  72. Sun Mar 20 01:21:25 2022 removing 6888573 relations and 4888573 ideals in 2000000 cliques
  73. Sun Mar 20 01:21:32 2022 commencing in-memory singleton removal
  74. Sun Mar 20 01:21:56 2022 begin with 333611667 relations and 246668883 unique ideals
  75. Sun Mar 20 01:24:09 2022 reduce to 333488431 relations and 241656326 ideals in 6 passes
  76. Sun Mar 20 01:24:09 2022 max relations containing the same ideal: 195
  77. Sun Mar 20 01:26:08 2022 removing 6675947 relations and 4675947 ideals in 2000000 cliques
  78. Sun Mar 20 01:26:15 2022 commencing in-memory singleton removal
  79. Sun Mar 20 01:26:38 2022 begin with 326812484 relations and 241656326 unique ideals
  80. Sun Mar 20 01:29:33 2022 reduce to 326695864 relations and 236862972 ideals in 8 passes
  81. Sun Mar 20 01:29:33 2022 max relations containing the same ideal: 193
  82. Sun Mar 20 01:31:30 2022 removing 6517051 relations and 4517051 ideals in 2000000 cliques
  83. Sun Mar 20 01:31:37 2022 commencing in-memory singleton removal
  84. Sun Mar 20 01:32:00 2022 begin with 320178813 relations and 236862972 unique ideals
  85. Sun Mar 20 01:34:08 2022 reduce to 320066363 relations and 232232668 ideals in 6 passes
  86. Sun Mar 20 01:34:08 2022 max relations containing the same ideal: 190
  87. Sun Mar 20 01:36:03 2022 removing 6391797 relations and 4391797 ideals in 2000000 cliques
  88. Sun Mar 20 01:36:10 2022 commencing in-memory singleton removal
  89. Sun Mar 20 01:36:32 2022 begin with 313674566 relations and 232232668 unique ideals
  90. Sun Mar 20 01:38:36 2022 reduce to 313564570 relations and 227730135 ideals in 6 passes
  91. Sun Mar 20 01:38:36 2022 max relations containing the same ideal: 187
  92. Sun Mar 20 01:40:29 2022 removing 6292680 relations and 4292680 ideals in 2000000 cliques
  93. Sun Mar 20 01:40:36 2022 commencing in-memory singleton removal
  94. Sun Mar 20 01:40:57 2022 begin with 307271890 relations and 227730135 unique ideals
  95. Sun Mar 20 01:42:59 2022 reduce to 307164155 relations and 223328973 ideals in 6 passes
  96. Sun Mar 20 01:42:59 2022 max relations containing the same ideal: 186
  97. Sun Mar 20 01:44:51 2022 removing 6204140 relations and 4204140 ideals in 2000000 cliques
  98. Sun Mar 20 01:44:57 2022 commencing in-memory singleton removal
  99. Sun Mar 20 01:45:19 2022 begin with 300960015 relations and 223328973 unique ideals
  100. Sun Mar 20 01:47:20 2022 reduce to 300853944 relations and 219018011 ideals in 6 passes
  101. Sun Mar 20 01:47:20 2022 max relations containing the same ideal: 185
  102. Sun Mar 20 01:49:09 2022 removing 6134417 relations and 4134417 ideals in 2000000 cliques
  103. Sun Mar 20 01:49:16 2022 commencing in-memory singleton removal
  104. Sun Mar 20 01:49:37 2022 begin with 294719527 relations and 219018011 unique ideals
  105. Sun Mar 20 01:51:35 2022 reduce to 294613863 relations and 214777136 ideals in 6 passes
  106. Sun Mar 20 01:51:35 2022 max relations containing the same ideal: 182
  107. Sun Mar 20 01:53:21 2022 removing 6073192 relations and 4073192 ideals in 2000000 cliques
  108. Sun Mar 20 01:53:27 2022 commencing in-memory singleton removal
  109. Sun Mar 20 01:53:47 2022 begin with 288540671 relations and 214777136 unique ideals
  110. Sun Mar 20 01:55:42 2022 reduce to 288434682 relations and 210597109 ideals in 6 passes
  111. Sun Mar 20 01:55:42 2022 max relations containing the same ideal: 179
  112. Sun Mar 20 01:57:26 2022 removing 6019217 relations and 4019217 ideals in 2000000 cliques
  113. Sun Mar 20 01:57:32 2022 commencing in-memory singleton removal
  114. Sun Mar 20 01:57:52 2022 begin with 282415465 relations and 210597109 unique ideals
  115. Sun Mar 20 01:59:45 2022 reduce to 282309774 relations and 206471334 ideals in 6 passes
  116. Sun Mar 20 01:59:45 2022 max relations containing the same ideal: 178
  117. Sun Mar 20 02:01:27 2022 removing 5976643 relations and 3976643 ideals in 2000000 cliques
  118. Sun Mar 20 02:01:33 2022 commencing in-memory singleton removal
  119. Sun Mar 20 02:01:52 2022 begin with 276333131 relations and 206471334 unique ideals
  120. Sun Mar 20 02:03:41 2022 reduce to 276228088 relations and 202388777 ideals in 6 passes
  121. Sun Mar 20 02:03:41 2022 max relations containing the same ideal: 176
  122. Sun Mar 20 02:05:21 2022 removing 5937407 relations and 3937407 ideals in 2000000 cliques
  123. Sun Mar 20 02:05:27 2022 commencing in-memory singleton removal
  124. Sun Mar 20 02:05:46 2022 begin with 270290681 relations and 202388777 unique ideals
  125. Sun Mar 20 02:07:15 2022 reduce to 270184340 relations and 198344125 ideals in 5 passes
  126. Sun Mar 20 02:07:15 2022 max relations containing the same ideal: 173
  127. Sun Mar 20 02:08:54 2022 removing 5905626 relations and 3905626 ideals in 2000000 cliques
  128. Sun Mar 20 02:08:59 2022 commencing in-memory singleton removal
  129. Sun Mar 20 02:09:18 2022 begin with 264278714 relations and 198344125 unique ideals
  130. Sun Mar 20 02:11:02 2022 reduce to 264172417 relations and 194331277 ideals in 6 passes
  131. Sun Mar 20 02:11:02 2022 max relations containing the same ideal: 170
  132. Sun Mar 20 02:12:38 2022 removing 5876263 relations and 3876263 ideals in 2000000 cliques
  133. Sun Mar 20 02:12:44 2022 commencing in-memory singleton removal
  134. Sun Mar 20 02:13:02 2022 begin with 258296154 relations and 194331277 unique ideals
  135. Sun Mar 20 02:14:43 2022 reduce to 258189521 relations and 190347460 ideals in 6 passes
  136. Sun Mar 20 02:14:43 2022 max relations containing the same ideal: 168
  137. Sun Mar 20 02:16:18 2022 removing 5848837 relations and 3848837 ideals in 2000000 cliques
  138. Sun Mar 20 02:16:25 2022 commencing in-memory singleton removal
  139. Sun Mar 20 02:16:43 2022 begin with 252340684 relations and 190347460 unique ideals
  140. Sun Mar 20 02:18:22 2022 reduce to 252232045 relations and 186388959 ideals in 6 passes
  141. Sun Mar 20 02:18:22 2022 max relations containing the same ideal: 166
  142. Sun Mar 20 02:19:54 2022 removing 5825876 relations and 3825876 ideals in 2000000 cliques
  143. Sun Mar 20 02:19:59 2022 commencing in-memory singleton removal
  144. Sun Mar 20 02:20:16 2022 begin with 246406169 relations and 186388959 unique ideals
  145. Sun Mar 20 02:21:53 2022 reduce to 246296596 relations and 182452498 ideals in 6 passes
  146. Sun Mar 20 02:21:53 2022 max relations containing the same ideal: 164
  147. Sun Mar 20 02:23:23 2022 removing 5808104 relations and 3808104 ideals in 2000000 cliques
  148. Sun Mar 20 02:23:29 2022 commencing in-memory singleton removal
  149. Sun Mar 20 02:23:45 2022 begin with 240488492 relations and 182452498 unique ideals
  150. Sun Mar 20 02:25:19 2022 reduce to 240377206 relations and 178531977 ideals in 6 passes
  151. Sun Mar 20 02:25:19 2022 max relations containing the same ideal: 162
  152. Sun Mar 20 02:26:46 2022 removing 5794978 relations and 3794978 ideals in 2000000 cliques
  153. Sun Mar 20 02:26:51 2022 commencing in-memory singleton removal
  154. Sun Mar 20 02:27:08 2022 begin with 234582228 relations and 178531977 unique ideals
  155. Sun Mar 20 02:28:38 2022 reduce to 234470010 relations and 174623637 ideals in 6 passes
  156. Sun Mar 20 02:28:38 2022 max relations containing the same ideal: 158
  157. Sun Mar 20 02:30:04 2022 removing 5779896 relations and 3779896 ideals in 2000000 cliques
  158. Sun Mar 20 02:30:09 2022 commencing in-memory singleton removal
  159. Sun Mar 20 02:30:25 2022 begin with 228690114 relations and 174623637 unique ideals
  160. Sun Mar 20 02:31:41 2022 reduce to 228574952 relations and 170727405 ideals in 5 passes
  161. Sun Mar 20 02:31:41 2022 max relations containing the same ideal: 157
  162. Sun Mar 20 02:33:05 2022 removing 5772257 relations and 3772257 ideals in 2000000 cliques
  163. Sun Mar 20 02:33:10 2022 commencing in-memory singleton removal
  164. Sun Mar 20 02:33:26 2022 begin with 222802695 relations and 170727405 unique ideals
  165. Sun Mar 20 02:34:52 2022 reduce to 222686503 relations and 166837762 ideals in 6 passes
  166. Sun Mar 20 02:34:52 2022 max relations containing the same ideal: 154
  167. Sun Mar 20 02:36:14 2022 removing 5763345 relations and 3763345 ideals in 2000000 cliques
  168. Sun Mar 20 02:36:19 2022 commencing in-memory singleton removal
  169. Sun Mar 20 02:36:34 2022 begin with 216923158 relations and 166837762 unique ideals
  170. Sun Mar 20 02:37:57 2022 reduce to 216804538 relations and 162954538 ideals in 6 passes
  171. Sun Mar 20 02:37:57 2022 max relations containing the same ideal: 150
  172. Sun Mar 20 02:39:17 2022 removing 5757752 relations and 3757752 ideals in 2000000 cliques
  173. Sun Mar 20 02:39:21 2022 commencing in-memory singleton removal
  174. Sun Mar 20 02:39:36 2022 begin with 211046786 relations and 162954538 unique ideals
  175. Sun Mar 20 02:40:44 2022 reduce to 210925637 relations and 159074279 ideals in 5 passes
  176. Sun Mar 20 02:40:44 2022 max relations containing the same ideal: 148
  177. Sun Mar 20 02:42:02 2022 removing 5753048 relations and 3753048 ideals in 2000000 cliques
  178. Sun Mar 20 02:42:07 2022 commencing in-memory singleton removal
  179. Sun Mar 20 02:42:21 2022 begin with 205172589 relations and 159074279 unique ideals
  180. Sun Mar 20 02:43:40 2022 reduce to 205049148 relations and 155196361 ideals in 6 passes
  181. Sun Mar 20 02:43:40 2022 max relations containing the same ideal: 147
  182. Sun Mar 20 02:44:55 2022 removing 5753232 relations and 3753232 ideals in 2000000 cliques
  183. Sun Mar 20 02:44:59 2022 commencing in-memory singleton removal
  184. Sun Mar 20 02:45:13 2022 begin with 199295916 relations and 155196361 unique ideals
  185. Sun Mar 20 02:46:43 2022 reduce to 199168249 relations and 151313918 ideals in 7 passes
  186. Sun Mar 20 02:46:43 2022 max relations containing the same ideal: 147
  187. Sun Mar 20 02:47:56 2022 removing 5756292 relations and 3756292 ideals in 2000000 cliques
  188. Sun Mar 20 02:48:01 2022 commencing in-memory singleton removal
  189. Sun Mar 20 02:48:14 2022 begin with 193411957 relations and 151313918 unique ideals
  190. Sun Mar 20 02:49:27 2022 reduce to 193281653 relations and 147425736 ideals in 6 passes
  191. Sun Mar 20 02:49:27 2022 max relations containing the same ideal: 145
  192. Sun Mar 20 02:50:39 2022 removing 5755180 relations and 3755180 ideals in 2000000 cliques
  193. Sun Mar 20 02:50:44 2022 commencing in-memory singleton removal
  194. Sun Mar 20 02:50:57 2022 begin with 187526473 relations and 147425736 unique ideals
  195. Sun Mar 20 02:51:56 2022 reduce to 187393265 relations and 143535603 ideals in 5 passes
  196. Sun Mar 20 02:51:56 2022 max relations containing the same ideal: 142
  197. Sun Mar 20 02:53:06 2022 removing 5766325 relations and 3766325 ideals in 2000000 cliques
  198. Sun Mar 20 02:53:10 2022 commencing in-memory singleton removal
  199. Sun Mar 20 02:53:22 2022 begin with 181626940 relations and 143535603 unique ideals
  200. Sun Mar 20 02:54:32 2022 reduce to 181489198 relations and 139629739 ideals in 6 passes
  201. Sun Mar 20 02:54:32 2022 max relations containing the same ideal: 140
  202. Sun Mar 20 02:55:39 2022 removing 5771069 relations and 3771069 ideals in 2000000 cliques
  203. Sun Mar 20 02:55:43 2022 commencing in-memory singleton removal
  204. Sun Mar 20 02:55:55 2022 begin with 175718129 relations and 139629739 unique ideals
  205. Sun Mar 20 02:57:13 2022 reduce to 175577166 relations and 135715862 ideals in 7 passes
  206. Sun Mar 20 02:57:13 2022 max relations containing the same ideal: 137
  207. Sun Mar 20 02:58:19 2022 removing 5782926 relations and 3782926 ideals in 2000000 cliques
  208. Sun Mar 20 02:58:23 2022 commencing in-memory singleton removal
  209. Sun Mar 20 02:58:34 2022 begin with 169794240 relations and 135715862 unique ideals
  210. Sun Mar 20 02:59:38 2022 reduce to 169648719 relations and 131785407 ideals in 6 passes
  211. Sun Mar 20 02:59:38 2022 max relations containing the same ideal: 133
  212. Sun Mar 20 03:00:41 2022 removing 5796643 relations and 3796643 ideals in 2000000 cliques
  213. Sun Mar 20 03:00:45 2022 commencing in-memory singleton removal
  214. Sun Mar 20 03:00:56 2022 begin with 163852076 relations and 131785407 unique ideals
  215. Sun Mar 20 03:01:58 2022 reduce to 163701255 relations and 127835793 ideals in 6 passes
  216. Sun Mar 20 03:01:58 2022 max relations containing the same ideal: 130
  217. Sun Mar 20 03:03:00 2022 removing 5810702 relations and 3810702 ideals in 2000000 cliques
  218. Sun Mar 20 03:03:04 2022 commencing in-memory singleton removal
  219. Sun Mar 20 03:03:14 2022 begin with 157890553 relations and 127835793 unique ideals
  220. Sun Mar 20 03:04:13 2022 reduce to 157734027 relations and 123866438 ideals in 6 passes
  221. Sun Mar 20 03:04:13 2022 max relations containing the same ideal: 127
  222. Sun Mar 20 03:05:13 2022 removing 5825452 relations and 3825452 ideals in 2000000 cliques
  223. Sun Mar 20 03:05:16 2022 commencing in-memory singleton removal
  224. Sun Mar 20 03:05:26 2022 begin with 151908575 relations and 123866438 unique ideals
  225. Sun Mar 20 03:06:24 2022 reduce to 151746773 relations and 119876716 ideals in 6 passes
  226. Sun Mar 20 03:06:24 2022 max relations containing the same ideal: 125
  227. Sun Mar 20 03:07:21 2022 removing 5846133 relations and 3846133 ideals in 2000000 cliques
  228. Sun Mar 20 03:07:24 2022 commencing in-memory singleton removal
  229. Sun Mar 20 03:07:34 2022 begin with 145900640 relations and 119876716 unique ideals
  230. Sun Mar 20 03:08:28 2022 reduce to 145732458 relations and 115859891 ideals in 6 passes
  231. Sun Mar 20 03:08:28 2022 max relations containing the same ideal: 120
  232. Sun Mar 20 03:09:22 2022 removing 5871832 relations and 3871832 ideals in 2000000 cliques
  233. Sun Mar 20 03:09:26 2022 commencing in-memory singleton removal
  234. Sun Mar 20 03:09:35 2022 begin with 139860626 relations and 115859891 unique ideals
  235. Sun Mar 20 03:10:27 2022 reduce to 139685183 relations and 111810059 ideals in 6 passes
  236. Sun Mar 20 03:10:27 2022 max relations containing the same ideal: 118
  237. Sun Mar 20 03:11:20 2022 removing 5900082 relations and 3900082 ideals in 2000000 cliques
  238. Sun Mar 20 03:11:24 2022 commencing in-memory singleton removal
  239. Sun Mar 20 03:11:32 2022 begin with 133785101 relations and 111810059 unique ideals
  240. Sun Mar 20 03:12:14 2022 reduce to 133602123 relations and 107724099 ideals in 5 passes
  241. Sun Mar 20 03:12:14 2022 max relations containing the same ideal: 116
  242. Sun Mar 20 03:13:04 2022 removing 5927735 relations and 3927735 ideals in 2000000 cliques
  243. Sun Mar 20 03:13:08 2022 commencing in-memory singleton removal
  244. Sun Mar 20 03:13:16 2022 begin with 127674388 relations and 107724099 unique ideals
  245. Sun Mar 20 03:14:03 2022 reduce to 127481693 relations and 103600604 ideals in 6 passes
  246. Sun Mar 20 03:14:03 2022 max relations containing the same ideal: 111
  247. Sun Mar 20 03:14:52 2022 removing 5966200 relations and 3966200 ideals in 2000000 cliques
  248. Sun Mar 20 03:14:55 2022 commencing in-memory singleton removal
  249. Sun Mar 20 03:15:03 2022 begin with 121515493 relations and 103600604 unique ideals
  250. Sun Mar 20 03:15:47 2022 reduce to 121312605 relations and 99428126 ideals in 6 passes
  251. Sun Mar 20 03:15:47 2022 max relations containing the same ideal: 105
  252. Sun Mar 20 03:16:33 2022 removing 6001186 relations and 4001186 ideals in 2000000 cliques
  253. Sun Mar 20 03:16:36 2022 commencing in-memory singleton removal
  254. Sun Mar 20 03:16:43 2022 begin with 115311419 relations and 99428126 unique ideals
  255. Sun Mar 20 03:17:26 2022 reduce to 115096674 relations and 95208643 ideals in 6 passes
  256. Sun Mar 20 03:17:26 2022 max relations containing the same ideal: 99
  257. Sun Mar 20 03:18:09 2022 removing 6047157 relations and 4047157 ideals in 2000000 cliques
  258. Sun Mar 20 03:18:12 2022 commencing in-memory singleton removal
  259. Sun Mar 20 03:18:19 2022 begin with 109049517 relations and 95208643 unique ideals
  260. Sun Mar 20 03:19:05 2022 reduce to 108821052 relations and 90929148 ideals in 7 passes
  261. Sun Mar 20 03:19:05 2022 max relations containing the same ideal: 95
  262. Sun Mar 20 03:19:47 2022 removing 6095202 relations and 4095202 ideals in 2000000 cliques
  263. Sun Mar 20 03:19:50 2022 commencing in-memory singleton removal
  264. Sun Mar 20 03:19:57 2022 begin with 102725850 relations and 90929148 unique ideals
  265. Sun Mar 20 03:20:40 2022 reduce to 102484007 relations and 86587758 ideals in 7 passes
  266. Sun Mar 20 03:20:40 2022 max relations containing the same ideal: 90
  267. Sun Mar 20 03:21:19 2022 removing 6150579 relations and 4150579 ideals in 2000000 cliques
  268. Sun Mar 20 03:21:22 2022 commencing in-memory singleton removal
  269. Sun Mar 20 03:21:28 2022 begin with 96333428 relations and 86587758 unique ideals
  270. Sun Mar 20 03:22:08 2022 reduce to 96073368 relations and 82172188 ideals in 7 passes
  271. Sun Mar 20 03:22:08 2022 max relations containing the same ideal: 87
  272. Sun Mar 20 03:22:45 2022 removing 6214679 relations and 4214679 ideals in 2000000 cliques
  273. Sun Mar 20 03:22:48 2022 commencing in-memory singleton removal
  274. Sun Mar 20 03:22:53 2022 begin with 89858689 relations and 82172188 unique ideals
  275. Sun Mar 20 03:23:25 2022 reduce to 89577991 relations and 77671339 ideals in 6 passes
  276. Sun Mar 20 03:23:25 2022 max relations containing the same ideal: 84
  277. Sun Mar 20 03:24:00 2022 removing 6284750 relations and 4284750 ideals in 2000000 cliques
  278. Sun Mar 20 03:24:03 2022 commencing in-memory singleton removal
  279. Sun Mar 20 03:24:08 2022 begin with 83293241 relations and 77671339 unique ideals
  280. Sun Mar 20 03:24:37 2022 reduce to 82986386 relations and 73073329 ideals in 6 passes
  281. Sun Mar 20 03:24:37 2022 max relations containing the same ideal: 79
  282. Sun Mar 20 03:25:09 2022 removing 6368423 relations and 4368423 ideals in 2000000 cliques
  283. Sun Mar 20 03:25:12 2022 commencing in-memory singleton removal
  284. Sun Mar 20 03:25:16 2022 begin with 76617963 relations and 73073329 unique ideals
  285. Sun Mar 20 03:25:47 2022 reduce to 76276994 relations and 68356642 ideals in 7 passes
  286. Sun Mar 20 03:25:47 2022 max relations containing the same ideal: 73
  287. Sun Mar 20 03:26:17 2022 removing 6463209 relations and 4463209 ideals in 2000000 cliques
  288. Sun Mar 20 03:26:19 2022 commencing in-memory singleton removal
  289. Sun Mar 20 03:26:24 2022 begin with 69813785 relations and 68356642 unique ideals
  290. Sun Mar 20 03:26:55 2022 reduce to 69430397 relations and 63501337 ideals in 8 passes
  291. Sun Mar 20 03:26:55 2022 max relations containing the same ideal: 69
  292. Sun Mar 20 03:27:23 2022 removing 6573556 relations and 4573556 ideals in 2000000 cliques
  293. Sun Mar 20 03:27:26 2022 commencing in-memory singleton removal
  294. Sun Mar 20 03:27:29 2022 begin with 62856841 relations and 63501337 unique ideals
  295. Sun Mar 20 03:27:54 2022 reduce to 62418255 relations and 58478426 ideals in 7 passes
  296. Sun Mar 20 03:27:54 2022 max relations containing the same ideal: 65
  297. Sun Mar 20 03:28:19 2022 removing 5812837 relations and 4129222 ideals in 1683615 cliques
  298. Sun Mar 20 03:28:21 2022 commencing in-memory singleton removal
  299. Sun Mar 20 03:28:25 2022 begin with 56605418 relations and 58478426 unique ideals
  300. Sun Mar 20 03:28:50 2022 reduce to 56216142 relations and 53950958 ideals in 8 passes
  301. Sun Mar 20 03:28:50 2022 max relations containing the same ideal: 60
  302. Sun Mar 20 03:29:12 2022 removing 64786 relations and 55816 ideals in 8970 cliques
  303. Sun Mar 20 03:29:13 2022 commencing in-memory singleton removal
  304. Sun Mar 20 03:29:16 2022 begin with 56151356 relations and 53950958 unique ideals
  305. Sun Mar 20 03:29:25 2022 reduce to 56151314 relations and 53895100 ideals in 3 passes
  306. Sun Mar 20 03:29:25 2022 max relations containing the same ideal: 60
  307. Sun Mar 20 03:29:32 2022 relations with 0 large ideals: 152158
  308. Sun Mar 20 03:29:32 2022 relations with 1 large ideals: 53476
  309. Sun Mar 20 03:29:32 2022 relations with 2 large ideals: 606693
  310. Sun Mar 20 03:29:32 2022 relations with 3 large ideals: 3153054
  311. Sun Mar 20 03:29:32 2022 relations with 4 large ideals: 8857504
  312. Sun Mar 20 03:29:32 2022 relations with 5 large ideals: 16044408
  313. Sun Mar 20 03:29:32 2022 relations with 6 large ideals: 14115233
  314. Sun Mar 20 03:29:32 2022 relations with 7+ large ideals: 13168788
  315. Sun Mar 20 03:29:32 2022 commencing 2-way merge
  316. Sun Mar 20 03:30:03 2022 reduce to 36828160 relation sets and 34571946 unique ideals
  317. Sun Mar 20 03:30:04 2022 commencing full merge
  318. Sun Mar 20 03:40:29 2022 memory use: 4269.8 MB
  319. Sun Mar 20 03:40:34 2022 found 16584420 cycles, need 16426146
  320. Sun Mar 20 03:40:35 2022 weight of 16426146 cycles is about 1971434333 (120.02/cycle)
  321. Sun Mar 20 03:40:35 2022 distribution of cycle lengths:
  322. Sun Mar 20 03:40:35 2022 1 relations: 689829
  323. Sun Mar 20 03:40:35 2022 2 relations: 859332
  324. Sun Mar 20 03:40:35 2022 3 relations: 1017210
  325. Sun Mar 20 03:40:35 2022 4 relations: 1088243
  326. Sun Mar 20 03:40:35 2022 5 relations: 1136011
  327. Sun Mar 20 03:40:35 2022 6 relations: 1160856
  328. Sun Mar 20 03:40:35 2022 7 relations: 1159915
  329. Sun Mar 20 03:40:35 2022 8 relations: 1132796
  330. Sun Mar 20 03:40:35 2022 9 relations: 1084568
  331. Sun Mar 20 03:40:35 2022 10+ relations: 7097386
  332. Sun Mar 20 03:40:35 2022 heaviest cycle: 28 relations
  333. Sun Mar 20 03:40:40 2022 commencing cycle optimization
  334. Sun Mar 20 03:41:08 2022 start with 151815237 relations
  335. Sun Mar 20 03:47:01 2022 pruned 7570047 relations
  336. Sun Mar 20 03:47:02 2022 memory use: 3874.8 MB
  337. Sun Mar 20 03:47:02 2022 distribution of cycle lengths:
  338. Sun Mar 20 03:47:02 2022 1 relations: 689829
  339. Sun Mar 20 03:47:02 2022 2 relations: 878306
  340. Sun Mar 20 03:47:02 2022 3 relations: 1059659
  341. Sun Mar 20 03:47:02 2022 4 relations: 1136175
  342. Sun Mar 20 03:47:02 2022 5 relations: 1199360
  343. Sun Mar 20 03:47:02 2022 6 relations: 1226017
  344. Sun Mar 20 03:47:02 2022 7 relations: 1231834
  345. Sun Mar 20 03:47:02 2022 8 relations: 1201108
  346. Sun Mar 20 03:47:02 2022 9 relations: 1149636
  347. Sun Mar 20 03:47:02 2022 10+ relations: 6654222
  348. Sun Mar 20 03:47:02 2022 heaviest cycle: 28 relations
  349. Sun Mar 20 03:47:26 2022 RelProcTime: 20152
  350. Sun Mar 20 03:47:26 2022
  351. Sun Mar 20 03:47:26 2022 commencing linear algebra
  352. Sun Mar 20 03:47:29 2022 read 16426146 cycles
  353. Sun Mar 20 03:48:08 2022 cycles contain 55040662 unique relations
  354. Sun Mar 20 04:10:47 2022 read 55040662 relations
  355. Sun Mar 20 04:13:06 2022 using 20 quadratic characters above 4294917295
  356. Sun Mar 20 04:16:23 2022 building initial matrix
  357. Sun Mar 20 04:24:56 2022 memory use: 6955.7 MB
  358. Sun Mar 20 04:28:09 2022 read 16426146 cycles
  359. Sun Mar 20 04:28:11 2022 matrix is 16425968 x 16426146 (7726.3 MB) with weight 2207157572 (134.37/col)
  360. Sun Mar 20 04:28:11 2022 sparse part has weight 1844714682 (112.30/col)
  361. Sun Mar 20 04:31:16 2022 filtering completed in 2 passes
  362. Sun Mar 20 04:31:18 2022 matrix is 16425387 x 16425565 (7726.2 MB) with weight 2207134909 (134.37/col)
  363. Sun Mar 20 04:31:18 2022 sparse part has weight 1844704794 (112.31/col)
  364. Sun Mar 20 04:35:03 2022 matrix starts at (0, 0)
  365. Sun Mar 20 04:35:05 2022 matrix is 16425387 x 16425565 (7726.2 MB) with weight 2207134909 (134.37/col)
  366. Sun Mar 20 04:35:05 2022 sparse part has weight 1844704794 (112.31/col)
  367. Sun Mar 20 04:35:05 2022 saving the first 48 matrix rows for later
  368. Sun Mar 20 04:35:07 2022 matrix includes 64 packed rows
  369. Sun Mar 20 04:35:08 2022 matrix is 16425339 x 16425565 (7415.4 MB) with weight 1903027257 (115.86/col)
  370. Sun Mar 20 04:35:08 2022 sparse part has weight 1779644235 (108.35/col)
  371. Sun Mar 20 04:35:08 2022 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  372. Sun Mar 20 04:36:11 2022 commencing Lanczos iteration (16 threads)
  373. Sun Mar 20 04:36:12 2022 memory use: 7155.3 MB
  374. Sun Mar 20 04:36:33 2022 linear algebra at 0.0%, ETA 60h11m
  375. Sun Mar 20 04:36:40 2022 checkpointing every 270000 dimensions
  376. Tue Mar 22 16:58:08 2022 lanczos halted after 259747 iterations (dim = 16425338)
  377. Tue Mar 22 16:58:23 2022 recovered 38 nontrivial dependencies
  378. Tue Mar 22 16:58:40 2022 BLanczosTime: 220274
  379. Tue Mar 22 16:58:40 2022
  380. Tue Mar 22 16:58:40 2022 commencing square root phase
  381. Tue Mar 22 16:58:40 2022 handling dependencies 1 to 64
  382. Tue Mar 22 16:58:40 2022 reading relations for dependency 1
  383. Tue Mar 22 16:58:55 2022 read 8211336 cycles
  384. Tue Mar 22 16:59:12 2022 cycles contain 27522114 unique relations
  385. Tue Mar 22 17:30:06 2022 read 27522114 relations
  386. Tue Mar 22 17:32:13 2022 multiplying 27522114 relations
  387. Tue Mar 22 17:40:56 2022 multiply complete, coefficients have about 740.03 million bits
  388. Tue Mar 22 17:40:57 2022 initial square root is modulo 4357513
  389. Tue Mar 22 17:52:32 2022 sqrtTime: 3232
  390. Tue Mar 22 17:52:32 2022 p100 factor: 1450181952204171571735738386675395214517112248112291804812090253101150299563246963961848462666987501
  391. Tue Mar 22 17:52:32 2022 p114 factor: 931519224117265245737923590104316809550143695426737890414795488757446746646053862165399849271640952278901193706251
  392. Tue Mar 22 17:52:32 2022 elapsed time 67:40:59
  393.  
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