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gchilders
Apr 26th, 2026
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  1. Tue Apr 21 07:02:43 2026
  2. Tue Apr 21 07:02:43 2026
  3. Tue Apr 21 07:02:43 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Apr 21 07:02:43 2026 random seeds: 0a5ad1a6 1abb35b7
  5. Tue Apr 21 07:02:43 2026 MPI process 0 of 1
  6. Tue Apr 21 07:02:43 2026 Using 46 OpenMP threads
  7. Tue Apr 21 07:02:43 2026 factoring 7992725630817993387509447658266753245639852185667964923325577122343436495149387850592327530913518038942862729080180818453049855292323904941844008543186707256609661088744711417696766636212293916732420331335060909121431187023889518420170993615058113539941380716719809 (265 digits)
  8. Tue Apr 21 07:02:44 2026 no P-1/P+1/ECM available, skipping
  9. Tue Apr 21 07:02:44 2026 commencing number field sieve (265-digit input)
  10. Tue Apr 21 07:02:44 2026 R0: -100000000000000000000000000000000000000000000000000000000
  11. Tue Apr 21 07:02:44 2026 R1: 1
  12. Tue Apr 21 07:02:44 2026 A0: 1
  13. Tue Apr 21 07:02:44 2026 A1: -1
  14. Tue Apr 21 07:02:44 2026 A2: 1
  15. Tue Apr 21 07:02:44 2026 A3: -1
  16. Tue Apr 21 07:02:44 2026 A4: 1
  17. Tue Apr 21 07:02:44 2026 A5: -1
  18. Tue Apr 21 07:02:44 2026 A6: 1
  19. Tue Apr 21 07:02:44 2026 skew 1.41, size 1.945e-16, alpha 2.428, combined = 1.400e-16 rroots = 0
  20. Tue Apr 21 07:02:44 2026
  21. Tue Apr 21 07:02:44 2026 commencing relation filtering
  22. Tue Apr 21 07:02:44 2026 setting target matrix density to 110.0
  23. Tue Apr 21 07:02:44 2026 estimated available RAM is 385608.3 MB
  24. Tue Apr 21 07:02:44 2026 commencing duplicate removal, pass 1
  25. Tue Apr 21 07:44:14 2026 skipped 6505303 relations with b > 2^32
  26. Tue Apr 21 07:44:14 2026 skipped 4923 malformed relations
  27. Tue Apr 21 07:44:14 2026 found 130432364 hash collisions in 3083328062 relations
  28. Tue Apr 21 07:44:19 2026 added 2438534 free relations
  29. Tue Apr 21 07:44:19 2026 commencing duplicate removal, pass 2
  30. Tue Apr 21 07:58:43 2026 found 0 duplicates and 3085766596 unique relations
  31. Tue Apr 21 07:58:43 2026 memory use: 8870.0 MB
  32. Tue Apr 21 07:58:44 2026 reading ideals above 1883176960
  33. Tue Apr 21 07:58:44 2026 commencing singleton removal, initial pass
  34. Tue Apr 21 10:56:03 2026 memory use: 66560.0 MB
  35. Tue Apr 21 10:56:04 2026 reading all ideals from disk
  36. Tue Apr 21 10:57:31 2026 memory use: 84510.3 MB
  37. Tue Apr 21 11:00:41 2026 commencing in-memory singleton removal
  38. Tue Apr 21 11:00:57 2026 begin with 3085766596 relations and 3089240470 unique ideals
  39. Tue Apr 21 11:02:50 2026 reduce to 1328817295 relations and 1060344185 ideals in 24 passes
  40. Tue Apr 21 11:02:50 2026 max relations containing the same ideal: 33
  41. Tue Apr 21 11:03:28 2026 reading ideals above 720000
  42. Tue Apr 21 11:03:29 2026 commencing singleton removal, initial pass
  43. Tue Apr 21 12:51:00 2026 memory use: 21024.0 MB
  44. Tue Apr 21 12:51:01 2026 reading all ideals from disk
  45. Tue Apr 21 12:52:28 2026 memory use: 74416.1 MB
  46. Tue Apr 21 12:56:10 2026 keeping 1237978766 ideals with weight <= 200, target excess is 7835343
  47. Tue Apr 21 13:00:00 2026 commencing in-memory singleton removal
  48. Tue Apr 21 13:00:15 2026 begin with 1328817295 relations and 1237978766 unique ideals
  49. Tue Apr 21 13:01:57 2026 reduce to 1327970370 relations and 1237131780 ideals in 19 passes
  50. Tue Apr 21 13:01:57 2026 max relations containing the same ideal: 200
  51. Tue Apr 21 13:11:10 2026 removing 36317231 relations and 34317231 ideals in 2000000 cliques
  52. Tue Apr 21 13:11:45 2026 commencing in-memory singleton removal
  53. Tue Apr 21 13:11:57 2026 begin with 1291653139 relations and 1237131780 unique ideals
  54. Tue Apr 21 13:12:58 2026 reduce to 1290746285 relations and 1201904855 ideals in 12 passes
  55. Tue Apr 21 13:12:58 2026 max relations containing the same ideal: 200
  56. Tue Apr 21 13:21:36 2026 removing 26086822 relations and 24086822 ideals in 2000000 cliques
  57. Tue Apr 21 13:22:07 2026 commencing in-memory singleton removal
  58. Tue Apr 21 13:22:19 2026 begin with 1264659463 relations and 1201904855 unique ideals
  59. Tue Apr 21 13:23:11 2026 reduce to 1264171818 relations and 1177329214 ideals in 10 passes
  60. Tue Apr 21 13:23:11 2026 max relations containing the same ideal: 200
  61. Tue Apr 21 13:31:34 2026 removing 22793574 relations and 20793574 ideals in 2000000 cliques
  62. Tue Apr 21 13:32:03 2026 commencing in-memory singleton removal
  63. Tue Apr 21 13:32:15 2026 begin with 1241378244 relations and 1177329214 unique ideals
  64. Tue Apr 21 13:33:04 2026 reduce to 1241000327 relations and 1156156878 ideals in 9 passes
  65. Tue Apr 21 13:33:04 2026 max relations containing the same ideal: 199
  66. Tue Apr 21 13:41:02 2026 removing 20877217 relations and 18877217 ideals in 2000000 cliques
  67. Tue Apr 21 13:41:30 2026 commencing in-memory singleton removal
  68. Tue Apr 21 13:41:41 2026 begin with 1220123110 relations and 1156156878 unique ideals
  69. Tue Apr 21 13:42:30 2026 reduce to 1219799033 relations and 1136954935 ideals in 10 passes
  70. Tue Apr 21 13:42:30 2026 max relations containing the same ideal: 198
  71. Tue Apr 21 13:50:24 2026 removing 19558859 relations and 17558859 ideals in 2000000 cliques
  72. Tue Apr 21 13:50:52 2026 commencing in-memory singleton removal
  73. Tue Apr 21 13:51:03 2026 begin with 1200240174 relations and 1136954935 unique ideals
  74. Tue Apr 21 13:51:51 2026 reduce to 1199953762 relations and 1119109112 ideals in 10 passes
  75. Tue Apr 21 13:51:51 2026 max relations containing the same ideal: 197
  76. Tue Apr 21 14:00:07 2026 removing 18566875 relations and 16566875 ideals in 2000000 cliques
  77. Tue Apr 21 14:00:34 2026 commencing in-memory singleton removal
  78. Tue Apr 21 14:00:45 2026 begin with 1181386887 relations and 1119109112 unique ideals
  79. Tue Apr 21 14:01:34 2026 reduce to 1181127067 relations and 1102281919 ideals in 10 passes
  80. Tue Apr 21 14:01:34 2026 max relations containing the same ideal: 195
  81. Tue Apr 21 14:08:52 2026 removing 17774973 relations and 15774973 ideals in 2000000 cliques
  82. Tue Apr 21 14:09:18 2026 commencing in-memory singleton removal
  83. Tue Apr 21 14:09:29 2026 begin with 1163352094 relations and 1102281919 unique ideals
  84. Tue Apr 21 14:10:11 2026 reduce to 1163109081 relations and 1086263486 ideals in 9 passes
  85. Tue Apr 21 14:10:11 2026 max relations containing the same ideal: 195
  86. Tue Apr 21 14:17:14 2026 removing 17136709 relations and 15136709 ideals in 2000000 cliques
  87. Tue Apr 21 14:17:40 2026 commencing in-memory singleton removal
  88. Tue Apr 21 14:17:51 2026 begin with 1145972372 relations and 1086263486 unique ideals
  89. Tue Apr 21 14:18:37 2026 reduce to 1145745769 relations and 1070899693 ideals in 10 passes
  90. Tue Apr 21 14:18:37 2026 max relations containing the same ideal: 194
  91. Tue Apr 21 14:25:37 2026 removing 16590457 relations and 14590457 ideals in 2000000 cliques
  92. Tue Apr 21 14:26:03 2026 commencing in-memory singleton removal
  93. Tue Apr 21 14:26:15 2026 begin with 1129155312 relations and 1070899693 unique ideals
  94. Tue Apr 21 14:26:58 2026 reduce to 1128940587 relations and 1056094097 ideals in 10 passes
  95. Tue Apr 21 14:26:58 2026 max relations containing the same ideal: 190
  96. Tue Apr 21 14:33:40 2026 removing 16132391 relations and 14132391 ideals in 2000000 cliques
  97. Tue Apr 21 14:34:05 2026 commencing in-memory singleton removal
  98. Tue Apr 21 14:34:16 2026 begin with 1112808196 relations and 1056094097 unique ideals
  99. Tue Apr 21 14:34:54 2026 reduce to 1112602326 relations and 1041755445 ideals in 8 passes
  100. Tue Apr 21 14:34:54 2026 max relations containing the same ideal: 189
  101. Tue Apr 21 14:41:17 2026 removing 15727361 relations and 13727361 ideals in 2000000 cliques
  102. Tue Apr 21 14:41:41 2026 commencing in-memory singleton removal
  103. Tue Apr 21 14:41:53 2026 begin with 1096874965 relations and 1041755445 unique ideals
  104. Tue Apr 21 14:42:28 2026 reduce to 1096677022 relations and 1027829728 ideals in 8 passes
  105. Tue Apr 21 14:42:28 2026 max relations containing the same ideal: 187
  106. Tue Apr 21 14:48:35 2026 removing 15375383 relations and 13375383 ideals in 2000000 cliques
  107. Tue Apr 21 14:48:58 2026 commencing in-memory singleton removal
  108. Tue Apr 21 14:49:10 2026 begin with 1081301639 relations and 1027829728 unique ideals
  109. Tue Apr 21 14:49:47 2026 reduce to 1081110547 relations and 1014262883 ideals in 8 passes
  110. Tue Apr 21 14:49:47 2026 max relations containing the same ideal: 187
  111. Tue Apr 21 14:55:55 2026 removing 15054914 relations and 13054914 ideals in 2000000 cliques
  112. Tue Apr 21 14:56:19 2026 commencing in-memory singleton removal
  113. Tue Apr 21 14:56:30 2026 begin with 1066055633 relations and 1014262883 unique ideals
  114. Tue Apr 21 14:57:08 2026 reduce to 1065870697 relations and 1001022699 ideals in 9 passes
  115. Tue Apr 21 14:57:08 2026 max relations containing the same ideal: 184
  116. Tue Apr 21 15:03:09 2026 removing 14777647 relations and 12777647 ideals in 2000000 cliques
  117. Tue Apr 21 15:03:32 2026 commencing in-memory singleton removal
  118. Tue Apr 21 15:03:43 2026 begin with 1051093050 relations and 1001022699 unique ideals
  119. Tue Apr 21 15:04:17 2026 reduce to 1050912415 relations and 988064053 ideals in 8 passes
  120. Tue Apr 21 15:04:17 2026 max relations containing the same ideal: 183
  121. Tue Apr 21 15:10:10 2026 removing 14524849 relations and 12524849 ideals in 2000000 cliques
  122. Tue Apr 21 15:10:32 2026 commencing in-memory singleton removal
  123. Tue Apr 21 15:10:43 2026 begin with 1036387566 relations and 988064053 unique ideals
  124. Tue Apr 21 15:11:17 2026 reduce to 1036211983 relations and 975363274 ideals in 8 passes
  125. Tue Apr 21 15:11:17 2026 max relations containing the same ideal: 183
  126. Tue Apr 21 15:17:10 2026 removing 14293509 relations and 12293509 ideals in 2000000 cliques
  127. Tue Apr 21 15:17:32 2026 commencing in-memory singleton removal
  128. Tue Apr 21 15:17:43 2026 begin with 1021918474 relations and 975363274 unique ideals
  129. Tue Apr 21 15:18:20 2026 reduce to 1021746914 relations and 962897869 ideals in 9 passes
  130. Tue Apr 21 15:18:20 2026 max relations containing the same ideal: 183
  131. Tue Apr 21 15:24:04 2026 removing 14079217 relations and 12079217 ideals in 2000000 cliques
  132. Tue Apr 21 15:24:26 2026 commencing in-memory singleton removal
  133. Tue Apr 21 15:24:37 2026 begin with 1007667697 relations and 962897869 unique ideals
  134. Tue Apr 21 15:25:12 2026 reduce to 1007497444 relations and 950648084 ideals in 8 passes
  135. Tue Apr 21 15:25:12 2026 max relations containing the same ideal: 180
  136. Tue Apr 21 15:30:53 2026 removing 13891572 relations and 11891572 ideals in 2000000 cliques
  137. Tue Apr 21 15:31:15 2026 commencing in-memory singleton removal
  138. Tue Apr 21 15:31:25 2026 begin with 993605872 relations and 950648084 unique ideals
  139. Tue Apr 21 15:31:57 2026 reduce to 993440008 relations and 938590328 ideals in 8 passes
  140. Tue Apr 21 15:31:57 2026 max relations containing the same ideal: 177
  141. Tue Apr 21 15:37:25 2026 removing 13706264 relations and 11706264 ideals in 2000000 cliques
  142. Tue Apr 21 15:37:47 2026 commencing in-memory singleton removal
  143. Tue Apr 21 15:37:57 2026 begin with 979733744 relations and 938590328 unique ideals
  144. Tue Apr 21 15:38:29 2026 reduce to 979570228 relations and 926720247 ideals in 8 passes
  145. Tue Apr 21 15:38:29 2026 max relations containing the same ideal: 175
  146. Tue Apr 21 15:44:08 2026 removing 13539536 relations and 11539536 ideals in 2000000 cliques
  147. Tue Apr 21 15:44:30 2026 commencing in-memory singleton removal
  148. Tue Apr 21 15:44:41 2026 begin with 966030692 relations and 926720247 unique ideals
  149. Tue Apr 21 15:45:09 2026 reduce to 965868001 relations and 915017702 ideals in 7 passes
  150. Tue Apr 21 15:45:09 2026 max relations containing the same ideal: 174
  151. Tue Apr 21 15:50:30 2026 removing 13379343 relations and 11379343 ideals in 2000000 cliques
  152. Tue Apr 21 15:50:51 2026 commencing in-memory singleton removal
  153. Tue Apr 21 15:51:01 2026 begin with 952488658 relations and 915017702 unique ideals
  154. Tue Apr 21 15:51:35 2026 reduce to 952328555 relations and 903477915 ideals in 9 passes
  155. Tue Apr 21 15:51:35 2026 max relations containing the same ideal: 172
  156. Tue Apr 21 15:56:50 2026 removing 13244051 relations and 11244051 ideals in 2000000 cliques
  157. Tue Apr 21 15:57:10 2026 commencing in-memory singleton removal
  158. Tue Apr 21 15:57:20 2026 begin with 939084504 relations and 903477915 unique ideals
  159. Tue Apr 21 15:57:51 2026 reduce to 938924093 relations and 892073101 ideals in 8 passes
  160. Tue Apr 21 15:57:51 2026 max relations containing the same ideal: 170
  161. Tue Apr 21 16:03:20 2026 removing 13112084 relations and 11112084 ideals in 2000000 cliques
  162. Tue Apr 21 16:03:41 2026 commencing in-memory singleton removal
  163. Tue Apr 21 16:03:51 2026 begin with 925812009 relations and 892073101 unique ideals
  164. Tue Apr 21 16:04:18 2026 reduce to 925655083 relations and 880803786 ideals in 7 passes
  165. Tue Apr 21 16:04:18 2026 max relations containing the same ideal: 168
  166. Tue Apr 21 16:10:11 2026 removing 12983882 relations and 10983882 ideals in 2000000 cliques
  167. Tue Apr 21 16:10:31 2026 commencing in-memory singleton removal
  168. Tue Apr 21 16:10:41 2026 begin with 912671201 relations and 880803786 unique ideals
  169. Tue Apr 21 16:11:11 2026 reduce to 912513377 relations and 869661699 ideals in 8 passes
  170. Tue Apr 21 16:11:11 2026 max relations containing the same ideal: 166
  171. Tue Apr 21 16:16:12 2026 removing 12872542 relations and 10872542 ideals in 2000000 cliques
  172. Tue Apr 21 16:16:32 2026 commencing in-memory singleton removal
  173. Tue Apr 21 16:16:42 2026 begin with 899640835 relations and 869661699 unique ideals
  174. Tue Apr 21 16:17:11 2026 reduce to 899484526 relations and 858632515 ideals in 8 passes
  175. Tue Apr 21 16:17:11 2026 max relations containing the same ideal: 165
  176. Tue Apr 21 16:22:04 2026 removing 12765578 relations and 10765578 ideals in 2000000 cliques
  177. Tue Apr 21 16:22:23 2026 commencing in-memory singleton removal
  178. Tue Apr 21 16:22:33 2026 begin with 886718948 relations and 858632515 unique ideals
  179. Tue Apr 21 16:22:59 2026 reduce to 886562495 relations and 847710165 ideals in 7 passes
  180. Tue Apr 21 16:22:59 2026 max relations containing the same ideal: 162
  181. Tue Apr 21 16:27:52 2026 removing 12664273 relations and 10664273 ideals in 2000000 cliques
  182. Tue Apr 21 16:28:12 2026 commencing in-memory singleton removal
  183. Tue Apr 21 16:28:22 2026 begin with 873898222 relations and 847710165 unique ideals
  184. Tue Apr 21 16:28:53 2026 reduce to 873742390 relations and 836889728 ideals in 9 passes
  185. Tue Apr 21 16:28:53 2026 max relations containing the same ideal: 161
  186. Tue Apr 21 16:33:31 2026 removing 12568389 relations and 10568389 ideals in 2000000 cliques
  187. Tue Apr 21 16:33:50 2026 commencing in-memory singleton removal
  188. Tue Apr 21 16:33:59 2026 begin with 861174001 relations and 836889728 unique ideals
  189. Tue Apr 21 16:34:25 2026 reduce to 861018956 relations and 826165955 ideals in 7 passes
  190. Tue Apr 21 16:34:25 2026 max relations containing the same ideal: 160
  191. Tue Apr 21 16:38:59 2026 removing 12480240 relations and 10480240 ideals in 2000000 cliques
  192. Tue Apr 21 16:39:18 2026 commencing in-memory singleton removal
  193. Tue Apr 21 16:39:27 2026 begin with 848538716 relations and 826165955 unique ideals
  194. Tue Apr 21 16:39:53 2026 reduce to 848383223 relations and 815529871 ideals in 7 passes
  195. Tue Apr 21 16:39:53 2026 max relations containing the same ideal: 159
  196. Tue Apr 21 16:44:26 2026 removing 12406003 relations and 10406003 ideals in 2000000 cliques
  197. Tue Apr 21 16:44:44 2026 commencing in-memory singleton removal
  198. Tue Apr 21 16:44:53 2026 begin with 835977220 relations and 815529871 unique ideals
  199. Tue Apr 21 16:45:19 2026 reduce to 835822480 relations and 804968772 ideals in 7 passes
  200. Tue Apr 21 16:45:19 2026 max relations containing the same ideal: 158
  201. Tue Apr 21 16:49:41 2026 removing 12322141 relations and 10322141 ideals in 2000000 cliques
  202. Tue Apr 21 16:49:59 2026 commencing in-memory singleton removal
  203. Tue Apr 21 16:50:08 2026 begin with 823500339 relations and 804968772 unique ideals
  204. Tue Apr 21 16:50:33 2026 reduce to 823345310 relations and 794491244 ideals in 7 passes
  205. Tue Apr 21 16:50:33 2026 max relations containing the same ideal: 156
  206. Tue Apr 21 16:54:52 2026 removing 12250647 relations and 10250647 ideals in 2000000 cliques
  207. Tue Apr 21 16:55:09 2026 commencing in-memory singleton removal
  208. Tue Apr 21 16:55:18 2026 begin with 811094663 relations and 794491244 unique ideals
  209. Tue Apr 21 16:55:43 2026 reduce to 810938015 relations and 784083583 ideals in 7 passes
  210. Tue Apr 21 16:55:43 2026 max relations containing the same ideal: 155
  211. Tue Apr 21 17:00:00 2026 removing 12184847 relations and 10184847 ideals in 2000000 cliques
  212. Tue Apr 21 17:00:17 2026 commencing in-memory singleton removal
  213. Tue Apr 21 17:00:26 2026 begin with 798753168 relations and 784083583 unique ideals
  214. Tue Apr 21 17:00:50 2026 reduce to 798595607 relations and 773740799 ideals in 7 passes
  215. Tue Apr 21 17:00:50 2026 max relations containing the same ideal: 155
  216. Tue Apr 21 17:04:58 2026 removing 12120290 relations and 10120290 ideals in 2000000 cliques
  217. Tue Apr 21 17:05:15 2026 commencing in-memory singleton removal
  218. Tue Apr 21 17:05:24 2026 begin with 786475317 relations and 773740799 unique ideals
  219. Tue Apr 21 17:05:48 2026 reduce to 786316839 relations and 763461679 ideals in 7 passes
  220. Tue Apr 21 17:05:48 2026 max relations containing the same ideal: 151
  221. Tue Apr 21 17:10:19 2026 removing 12060502 relations and 10060502 ideals in 2000000 cliques
  222. Tue Apr 21 17:10:40 2026 commencing in-memory singleton removal
  223. Tue Apr 21 17:10:47 2026 begin with 774256337 relations and 763461679 unique ideals
  224. Tue Apr 21 17:11:12 2026 reduce to 774097922 relations and 753242405 ideals in 8 passes
  225. Tue Apr 21 17:11:12 2026 max relations containing the same ideal: 148
  226. Tue Apr 21 17:16:00 2026 removing 12008107 relations and 10008108 ideals in 2000000 cliques
  227. Tue Apr 21 17:16:17 2026 commencing in-memory singleton removal
  228. Tue Apr 21 17:16:24 2026 begin with 762089815 relations and 753242405 unique ideals
  229. Tue Apr 21 17:16:47 2026 reduce to 761929238 relations and 743073284 ideals in 7 passes
  230. Tue Apr 21 17:16:47 2026 max relations containing the same ideal: 148
  231. Tue Apr 21 17:20:57 2026 removing 11958485 relations and 9958485 ideals in 2000000 cliques
  232. Tue Apr 21 17:21:13 2026 commencing in-memory singleton removal
  233. Tue Apr 21 17:21:21 2026 begin with 749970753 relations and 743073284 unique ideals
  234. Tue Apr 21 17:21:48 2026 reduce to 749809096 relations and 732952771 ideals in 9 passes
  235. Tue Apr 21 17:21:48 2026 max relations containing the same ideal: 147
  236. Tue Apr 21 17:25:40 2026 removing 11910680 relations and 9910680 ideals in 2000000 cliques
  237. Tue Apr 21 17:25:56 2026 commencing in-memory singleton removal
  238. Tue Apr 21 17:26:04 2026 begin with 737898416 relations and 732952771 unique ideals
  239. Tue Apr 21 17:26:26 2026 reduce to 737735312 relations and 722878569 ideals in 7 passes
  240. Tue Apr 21 17:26:26 2026 max relations containing the same ideal: 145
  241. Tue Apr 21 17:30:11 2026 removing 11878710 relations and 9878710 ideals in 2000000 cliques
  242. Tue Apr 21 17:30:27 2026 commencing in-memory singleton removal
  243. Tue Apr 21 17:30:35 2026 begin with 725856602 relations and 722878569 unique ideals
  244. Tue Apr 21 17:30:56 2026 reduce to 725691950 relations and 712834791 ideals in 7 passes
  245. Tue Apr 21 17:30:56 2026 max relations containing the same ideal: 144
  246. Tue Apr 21 17:34:34 2026 removing 11844201 relations and 9844201 ideals in 2000000 cliques
  247. Tue Apr 21 17:34:49 2026 commencing in-memory singleton removal
  248. Tue Apr 21 17:34:57 2026 begin with 713847749 relations and 712834791 unique ideals
  249. Tue Apr 21 17:35:20 2026 reduce to 713680338 relations and 702822737 ideals in 8 passes
  250. Tue Apr 21 17:35:20 2026 max relations containing the same ideal: 143
  251. Tue Apr 21 17:38:56 2026 removing 10622347 relations and 8853744 ideals in 1768603 cliques
  252. Tue Apr 21 17:39:11 2026 commencing in-memory singleton removal
  253. Tue Apr 21 17:39:19 2026 begin with 703057991 relations and 702822737 unique ideals
  254. Tue Apr 21 17:39:40 2026 reduce to 702920103 relations and 693830748 ideals in 7 passes
  255. Tue Apr 21 17:39:40 2026 max relations containing the same ideal: 141
  256. Tue Apr 21 17:44:26 2026 relations with 0 large ideals: 604958
  257. Tue Apr 21 17:44:26 2026 relations with 1 large ideals: 223353
  258. Tue Apr 21 17:44:26 2026 relations with 2 large ideals: 2509447
  259. Tue Apr 21 17:44:26 2026 relations with 3 large ideals: 16213103
  260. Tue Apr 21 17:44:26 2026 relations with 4 large ideals: 61078626
  261. Tue Apr 21 17:44:26 2026 relations with 5 large ideals: 140329813
  262. Tue Apr 21 17:44:26 2026 relations with 6 large ideals: 198108871
  263. Tue Apr 21 17:44:26 2026 relations with 7+ large ideals: 283851932
  264. Tue Apr 21 17:44:26 2026 commencing 2-way merge
  265. Tue Apr 21 17:50:06 2026 reduce to 425667160 relation sets and 416577805 unique ideals
  266. Tue Apr 21 17:50:07 2026 commencing full merge
  267. Tue Apr 21 19:43:05 2026 memory use: 47285.8 MB
  268. Tue Apr 21 19:43:59 2026 found 202883750 cycles, need 201768005
  269. Tue Apr 21 19:45:18 2026 weight of 201768005 cycles is about 22194648407 (110.00/cycle)
  270. Tue Apr 21 19:45:19 2026 distribution of cycle lengths:
  271. Tue Apr 21 19:45:19 2026 1 relations: 16865162
  272. Tue Apr 21 19:45:19 2026 2 relations: 19488444
  273. Tue Apr 21 19:45:19 2026 3 relations: 20911761
  274. Tue Apr 21 19:45:19 2026 4 relations: 19563484
  275. Tue Apr 21 19:45:19 2026 5 relations: 17589676
  276. Tue Apr 21 19:45:19 2026 6 relations: 15876219
  277. Tue Apr 21 19:45:19 2026 7 relations: 13923984
  278. Tue Apr 21 19:45:19 2026 8 relations: 12511875
  279. Tue Apr 21 19:45:19 2026 9 relations: 11075173
  280. Tue Apr 21 19:45:19 2026 10+ relations: 53962227
  281. Tue Apr 21 19:45:19 2026 heaviest cycle: 25 relations
  282. Tue Apr 21 19:46:39 2026 commencing cycle optimization
  283. Tue Apr 21 19:53:31 2026 start with 1401540919 relations
  284. Tue Apr 21 20:33:03 2026 pruned 34138836 relations
  285. Tue Apr 21 20:33:21 2026 memory use: 43457.8 MB
  286. Tue Apr 21 20:33:22 2026 distribution of cycle lengths:
  287. Tue Apr 21 20:33:22 2026 1 relations: 16865162
  288. Tue Apr 21 20:33:22 2026 2 relations: 19923753
  289. Tue Apr 21 20:33:22 2026 3 relations: 21660840
  290. Tue Apr 21 20:33:22 2026 4 relations: 20019143
  291. Tue Apr 21 20:33:22 2026 5 relations: 18020166
  292. Tue Apr 21 20:33:22 2026 6 relations: 16103757
  293. Tue Apr 21 20:33:22 2026 7 relations: 14119138
  294. Tue Apr 21 20:33:23 2026 8 relations: 12587784
  295. Tue Apr 21 20:33:23 2026 9 relations: 11107507
  296. Tue Apr 21 20:33:23 2026 10+ relations: 51360755
  297. Tue Apr 21 20:33:23 2026 heaviest cycle: 25 relations
  298. Tue Apr 21 20:42:50 2026 RelProcTime: 49206
  299. Tue Apr 21 20:42:50 2026 elapsed time 13:40:07
  300. Tue Apr 21 20:42:54 2026
  301. Tue Apr 21 20:42:54 2026
  302. Tue Apr 21 20:42:54 2026 Msieve v. 1.54 (SVN Unversioned directory)
  303. Tue Apr 21 20:42:54 2026 random seeds: 93fc5b2a ca7c3e71
  304. Tue Apr 21 20:42:54 2026 MPI process 0 of 1
  305. Tue Apr 21 20:42:54 2026 Using 46 OpenMP threads
  306. Tue Apr 21 20:42:54 2026 factoring 7992725630817993387509447658266753245639852185667964923325577122343436495149387850592327530913518038942862729080180818453049855292323904941844008543186707256609661088744711417696766636212293916732420331335060909121431187023889518420170993615058113539941380716719809 (265 digits)
  307. Tue Apr 21 20:42:54 2026 no P-1/P+1/ECM available, skipping
  308. Tue Apr 21 20:42:54 2026 commencing number field sieve (265-digit input)
  309. Tue Apr 21 20:42:55 2026 R0: -100000000000000000000000000000000000000000000000000000000
  310. Tue Apr 21 20:42:55 2026 R1: 1
  311. Tue Apr 21 20:42:55 2026 A0: 1
  312. Tue Apr 21 20:42:55 2026 A1: -1
  313. Tue Apr 21 20:42:55 2026 A2: 1
  314. Tue Apr 21 20:42:55 2026 A3: -1
  315. Tue Apr 21 20:42:55 2026 A4: 1
  316. Tue Apr 21 20:42:55 2026 A5: -1
  317. Tue Apr 21 20:42:55 2026 A6: 1
  318. Tue Apr 21 20:42:55 2026 skew 1.41, size 1.945e-16, alpha 2.428, combined = 1.400e-16 rroots = 0
  319. Tue Apr 21 20:42:55 2026
  320. Tue Apr 21 20:42:55 2026 commencing linear algebra
  321. Tue Apr 21 20:42:55 2026 using VBITS=256
  322. Tue Apr 21 20:42:55 2026 stopping after matrix build
  323. Tue Apr 21 20:42:55 2026 initialized process (0,0) of 1 x 1 grid
  324. Tue Apr 21 20:43:17 2026 read 201768005 cycles
  325. Tue Apr 21 20:50:25 2026 cycles contain 696643949 unique relations
  326. Tue Apr 21 21:02:57 2026 read 696643949 relations
  327. Tue Apr 21 21:04:08 2026 using 20 quadratic characters above 4294917295
  328. Tue Apr 21 21:05:33 2026 building initial matrix
  329. Tue Apr 21 23:37:20 2026 memory use: 93291.5 MB
  330. Tue Apr 21 23:40:00 2026 read 201768005 cycles
  331. Tue Apr 21 23:40:25 2026 matrix is 201767823 x 201768005 (89883.8 MB) with weight 25404729321 (125.91/col)
  332. Tue Apr 21 23:40:25 2026 sparse part has weight 21343048570 (105.78/col)
  333. Wed Apr 22 00:39:27 2026 filtering completed in 2 passes
  334. Wed Apr 22 00:40:10 2026 matrix is 201704606 x 201704773 (89879.2 MB) with weight 25402982187 (125.94/col)
  335. Wed Apr 22 00:40:10 2026 sparse part has weight 21342553332 (105.81/col)
  336. Wed Apr 22 00:49:02 2026 BLanczosTime: 14767
  337. Wed Apr 22 00:49:02 2026 elapsed time 04:06:08
  338. Wed Apr 22 00:50:00 2026
  339. Wed Apr 22 00:50:00 2026
  340. Wed Apr 22 00:50:00 2026 Msieve v. 1.54 (SVN Unversioned directory)
  341. Wed Apr 22 00:50:00 2026 random seeds: 269ed4b7 c7588f3d
  342. Wed Apr 22 00:50:00 2026 MPI process 0 of 4
  343. Wed Apr 22 00:50:00 2026 Using 15 OpenMP threads
  344. Wed Apr 22 00:50:00 2026 factoring 7992725630817993387509447658266753245639852185667964923325577122343436495149387850592327530913518038942862729080180818453049855292323904941844008543186707256609661088744711417696766636212293916732420331335060909121431187023889518420170993615058113539941380716719809 (265 digits)
  345. Wed Apr 22 00:50:00 2026 no P-1/P+1/ECM available, skipping
  346. Wed Apr 22 00:50:00 2026 commencing number field sieve (265-digit input)
  347. Wed Apr 22 00:50:00 2026 R0: -100000000000000000000000000000000000000000000000000000000
  348. Wed Apr 22 00:50:00 2026 R1: 1
  349. Wed Apr 22 00:50:00 2026 A0: 1
  350. Wed Apr 22 00:50:00 2026 A1: -1
  351. Wed Apr 22 00:50:00 2026 A2: 1
  352. Wed Apr 22 00:50:00 2026 A3: -1
  353. Wed Apr 22 00:50:00 2026 A4: 1
  354. Wed Apr 22 00:50:00 2026 A5: -1
  355. Wed Apr 22 00:50:00 2026 A6: 1
  356. Wed Apr 22 00:50:00 2026 skew 1.41, size 1.945e-16, alpha 2.428, combined = 1.400e-16 rroots = 0
  357. Wed Apr 22 00:50:00 2026
  358. Wed Apr 22 00:50:00 2026 commencing linear algebra
  359. Wed Apr 22 00:50:00 2026 using VBITS=256
  360. Wed Apr 22 00:50:00 2026 skipping matrix build
  361. Wed Apr 22 00:50:00 2026 initialized process (0,0) of 2 x 2 grid
  362. Wed Apr 22 00:51:36 2026 matrix starts at (0, 0)
  363. Wed Apr 22 00:51:42 2026 matrix is 100852423 x 100852128 (26127.0 MB) with weight 7769904524 (77.04/col)
  364. Wed Apr 22 00:51:42 2026 sparse part has weight 5739659049 (56.91/col)
  365. Wed Apr 22 00:51:42 2026 saving the first 240 matrix rows for later
  366. Wed Apr 22 00:52:00 2026 matrix includes 256 packed rows
  367. Wed Apr 22 00:52:13 2026 matrix is 100852183 x 100852128 (23721.4 MB) with weight 4932628671 (48.91/col)
  368. Wed Apr 22 00:52:13 2026 sparse part has weight 4604801000 (45.66/col)
  369. Wed Apr 22 00:52:13 2026 using GPU 0 (NVIDIA H200)
  370. Wed Apr 22 00:52:13 2026 selected card has CUDA arch 9.0
  371. Wed Apr 22 00:58:55 2026 commencing Lanczos iteration
  372. Wed Apr 22 00:59:00 2026 memory use: 55906.8 MB
  373. Wed Apr 22 01:00:04 2026 linear algebra at 0.0%, ETA 102h26m
  374. Wed Apr 22 01:01:28 2026 checking every 30000 dimensions, checkpointing every 1980000 dimensions
  375. Sat Apr 25 18:44:40 2026
  376. Sat Apr 25 18:44:40 2026
  377. Sat Apr 25 18:44:40 2026 Msieve v. 1.54 (SVN Unversioned directory)
  378. Sat Apr 25 18:44:40 2026 random seeds: 6fc3457c 4ddeea74
  379. Sat Apr 25 18:44:40 2026 MPI process 0 of 4
  380. Sat Apr 25 18:44:40 2026 Using 15 OpenMP threads
  381. Sat Apr 25 18:44:40 2026 factoring 7992725630817993387509447658266753245639852185667964923325577122343436495149387850592327530913518038942862729080180818453049855292323904941844008543186707256609661088744711417696766636212293916732420331335060909121431187023889518420170993615058113539941380716719809 (265 digits)
  382. Sat Apr 25 18:44:41 2026 no P-1/P+1/ECM available, skipping
  383. Sat Apr 25 18:44:41 2026 commencing number field sieve (265-digit input)
  384. Sat Apr 25 18:44:41 2026 R0: -100000000000000000000000000000000000000000000000000000000
  385. Sat Apr 25 18:44:41 2026 R1: 1
  386. Sat Apr 25 18:44:41 2026 A0: 1
  387. Sat Apr 25 18:44:41 2026 A1: -1
  388. Sat Apr 25 18:44:41 2026 A2: 1
  389. Sat Apr 25 18:44:41 2026 A3: -1
  390. Sat Apr 25 18:44:41 2026 A4: 1
  391. Sat Apr 25 18:44:41 2026 A5: -1
  392. Sat Apr 25 18:44:41 2026 A6: 1
  393. Sat Apr 25 18:44:41 2026 skew 1.41, size 1.945e-16, alpha 2.428, combined = 1.400e-16 rroots = 0
  394. Sat Apr 25 18:44:41 2026
  395. Sat Apr 25 18:44:41 2026 commencing linear algebra
  396. Sat Apr 25 18:44:41 2026 using VBITS=256
  397. Sat Apr 25 18:44:41 2026 initialized process (0,0) of 2 x 2 grid
  398. Sat Apr 25 18:47:23 2026 matrix starts at (0, 0)
  399. Sat Apr 25 18:47:29 2026 matrix is 100852423 x 100852128 (26127.0 MB) with weight 7769904524 (77.04/col)
  400. Sat Apr 25 18:47:29 2026 sparse part has weight 5739659049 (56.91/col)
  401. Sat Apr 25 18:47:29 2026 saving the first 240 matrix rows for later
  402. Sat Apr 25 18:47:48 2026 matrix includes 256 packed rows
  403. Sat Apr 25 18:48:00 2026 matrix is 100852183 x 100852128 (23721.4 MB) with weight 4932628671 (48.91/col)
  404. Sat Apr 25 18:48:00 2026 sparse part has weight 4604801000 (45.66/col)
  405. Sat Apr 25 18:48:00 2026 using GPU 0 (NVIDIA H200)
  406. Sat Apr 25 18:48:00 2026 selected card has CUDA arch 9.0
  407. Sat Apr 25 18:54:41 2026 commencing Lanczos iteration
  408. Sat Apr 25 18:54:45 2026 memory use: 55906.8 MB
  409. Sat Apr 25 18:55:46 2026 restarting at iteration 682661 (dim = 174240127)
  410. Sat Apr 25 18:56:22 2026 checking every 30000 dimensions, checkpointing every 1920000 dimensions
  411. Sat Apr 25 18:56:43 2026 linear algebra at 86.4%, ETA 14h10m
  412. Sun Apr 26 09:00:34 2026 lanczos halted after 790267 iterations (dim = 201704366)
  413. Sun Apr 26 09:09:23 2026 recovered 40 nontrivial dependencies
  414. Sun Apr 26 09:09:25 2026 BLanczosTime: 51884
  415. Sun Apr 26 09:09:26 2026 elapsed time 14:24:46
  416. Sun Apr 26 09:09:41 2026
  417. Sun Apr 26 09:09:41 2026
  418. Sun Apr 26 09:09:41 2026 Msieve v. 1.54 (SVN Unversioned directory)
  419. Sun Apr 26 09:09:41 2026 random seeds: 0c2b767b d998a2d6
  420. Sun Apr 26 09:09:41 2026 MPI process 0 of 1
  421. Sun Apr 26 09:09:41 2026 Using 32 OpenMP threads
  422. Sun Apr 26 09:09:41 2026 factoring 7992725630817993387509447658266753245639852185667964923325577122343436495149387850592327530913518038942862729080180818453049855292323904941844008543186707256609661088744711417696766636212293916732420331335060909121431187023889518420170993615058113539941380716719809 (265 digits)
  423. Sun Apr 26 09:09:42 2026 no P-1/P+1/ECM available, skipping
  424. Sun Apr 26 09:09:42 2026 commencing number field sieve (265-digit input)
  425. Sun Apr 26 09:09:42 2026 R0: -100000000000000000000000000000000000000000000000000000000
  426. Sun Apr 26 09:09:42 2026 R1: 1
  427. Sun Apr 26 09:09:42 2026 A0: 1
  428. Sun Apr 26 09:09:42 2026 A1: -1
  429. Sun Apr 26 09:09:42 2026 A2: 1
  430. Sun Apr 26 09:09:42 2026 A3: -1
  431. Sun Apr 26 09:09:42 2026 A4: 1
  432. Sun Apr 26 09:09:42 2026 A5: -1
  433. Sun Apr 26 09:09:42 2026 A6: 1
  434. Sun Apr 26 09:09:42 2026 skew 1.41, size 1.945e-16, alpha 2.428, combined = 1.400e-16 rroots = 0
  435. Sun Apr 26 09:09:42 2026
  436. Sun Apr 26 09:09:42 2026 commencing square root phase
  437. Sun Apr 26 09:09:42 2026 reading relations for dependency 1
  438. Sun Apr 26 09:10:13 2026 read 100853989 cycles
  439. Sun Apr 26 09:13:06 2026 cycles contain 348321898 unique relations
  440. Sun Apr 26 09:24:43 2026 read 348321898 relations
  441. Sun Apr 26 09:56:38 2026 multiplying 348321898 relations
  442. Sun Apr 26 10:20:35 2026 multiply complete, coefficients have about 10197.29 million bits
  443. Sun Apr 26 10:21:06 2026 initial square root is modulo 522161
  444. Sun Apr 26 11:27:43 2026 GCD is 1, no factor found
  445. Sun Apr 26 11:27:43 2026 reading relations for dependency 2
  446. Sun Apr 26 11:28:06 2026 read 100848487 cycles
  447. Sun Apr 26 11:31:00 2026 cycles contain 348318330 unique relations
  448. Sun Apr 26 11:44:56 2026 read 348318330 relations
  449. Sun Apr 26 12:13:07 2026 multiplying 348318330 relations
  450. Sun Apr 26 12:36:32 2026 multiply complete, coefficients have about 10197.20 million bits
  451. Sun Apr 26 12:37:02 2026 initial square root is modulo 522037
  452. Sun Apr 26 13:43:35 2026 sqrtTime: 16433
  453. Sun Apr 26 13:43:35 2026 p114 factor: 289541217302474902147738712574747645681665598761448687795987839125906245176246519610151449976343537460699905766689
  454. Sun Apr 26 13:43:35 2026 p152 factor: 27604793905622894622625243181953916824938413622610667667398260374078103192054518625178103922449357864907678199863967128103788199159778773266084514162081
  455. Sun Apr 26 13:43:35 2026 elapsed time 04:33:54
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