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F1535.msieve.log

Serge_Batalov
Oct 5th, 2025
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  1. Found 1181160182 unique, 160217046 duplicate, and 9 bad relations.
  2. Largest dimension used: 3500 of 3500
  3. Average dimension used: 3499.0 of 3500
  4.  
  5. Found 70118001 unique, 739455 duplicate, and 1 bad relations.
  6. Largest dimension used: 280 of 3500
  7. Average dimension used: 214.0 of 3500
  8.  
  9. Found 132702226 unique, 1710203 duplicate, and 1 bad relations.
  10. Largest dimension used: 509 of 3500
  11. Average dimension used: 405.0 of 3500
  12.  
  13. Tue Sep 30 02:30:14 2025
  14. Tue Sep 30 02:30:14 2025
  15. Tue Sep 30 02:30:14 2025 Msieve v. 1.54 (SVN msieve-lacuda-nfsathome-cuda11.5)
  16. Tue Sep 30 02:30:14 2025 random seeds: e8c76cf4 200ee637
  17. Tue Sep 30 02:30:14 2025 factoring 3864051751400794653929635396194430131000829145149055970842298472109638861122174073134161688503313269177701476841634870544172126788042997500362454577863009789676492642733962231471380159169814832348281702071088203554826751021 (223 digits)
  18. Tue Sep 30 02:30:16 2025 no P-1/P+1/ECM available, skipping
  19. Tue Sep 30 02:30:16 2025 commencing number field sieve (223-digit input)
  20. Tue Sep 30 02:30:16 2025 R0: -6452389184720949856740872794933738025334109298792472139250504213
  21. Tue Sep 30 02:30:16 2025 R1: 3987795824799770715342824788687062628452272409956636682999616408
  22. Tue Sep 30 02:30:16 2025 A0: 1
  23. Tue Sep 30 02:30:16 2025 A1: 2
  24. Tue Sep 30 02:30:16 2025 A2: 4
  25. Tue Sep 30 02:30:16 2025 A3: 3
  26. Tue Sep 30 02:30:16 2025 A4: 1
  27. Tue Sep 30 02:30:16 2025 skew 1.26, size 5.215e-26, alpha 1.694, combined = 1.693e-15 rroots = 0
  28. Tue Sep 30 02:30:16 2025
  29. Tue Sep 30 02:30:16 2025 commencing relation filtering
  30. Tue Sep 30 02:30:16 2025 setting target matrix density to 140.0
  31. Tue Sep 30 02:30:16 2025 estimated available RAM is 1031034.1 MB
  32. Tue Sep 30 02:30:16 2025 commencing duplicate removal, pass 1
  33. Tue Sep 30 05:29:08 2025 skipped 311074 relations with b > 2^32
  34. Tue Sep 30 05:29:08 2025 found 55198839 hash collisions in 1250967097 relations
  35. Tue Sep 30 05:29:17 2025 added 3657739 free relations
  36. Tue Sep 30 05:29:17 2025 commencing duplicate removal, pass 2
  37. Tue Sep 30 05:55:20 2025 found 13639396 duplicates and 1240985440 unique relations
  38. Tue Sep 30 05:55:20 2025 memory use: 4179.0 MB
  39. Tue Sep 30 05:55:21 2025 reading ideals above 720000
  40. Tue Sep 30 05:55:21 2025 commencing singleton removal, initial pass
  41. Tue Sep 30 11:09:15 2025 memory use: 21024.0 MB
  42. Tue Sep 30 11:09:15 2025 reading all ideals from disk
  43. Tue Sep 30 11:09:47 2025 memory use: 64267.3 MB
  44. Tue Sep 30 11:12:43 2025 keeping 1288020290 ideals with weight <= 200, target excess is 9064836
  45. Tue Sep 30 11:16:41 2025 commencing in-memory singleton removal
  46. Tue Sep 30 11:19:05 2025 begin with 1240985440 relations and 1288020290 unique ideals
  47. Tue Sep 30 11:32:21 2025 reduce to 528497662 relations and 464306678 ideals in 20 passes
  48. Tue Sep 30 11:32:21 2025 max relations containing the same ideal: 121
  49. Tue Sep 30 11:36:46 2025 removing 24311913 relations and 22311913 ideals in 2000000 cliques
  50. Tue Sep 30 11:37:01 2025 commencing in-memory singleton removal
  51. Tue Sep 30 11:37:58 2025 begin with 504185749 relations and 464306678 unique ideals
  52. Tue Sep 30 11:43:25 2025 reduce to 503247522 relations and 441050716 ideals in 11 passes
  53. Tue Sep 30 11:43:25 2025 max relations containing the same ideal: 115
  54. Tue Sep 30 11:47:32 2025 removing 17734646 relations and 15734646 ideals in 2000000 cliques
  55. Tue Sep 30 11:47:46 2025 commencing in-memory singleton removal
  56. Tue Sep 30 11:48:40 2025 begin with 485512876 relations and 441050716 unique ideals
  57. Tue Sep 30 11:53:53 2025 reduce to 484970529 relations and 424771080 ideals in 11 passes
  58. Tue Sep 30 11:53:53 2025 max relations containing the same ideal: 112
  59. Tue Sep 30 11:57:52 2025 removing 15623337 relations and 13623337 ideals in 2000000 cliques
  60. Tue Sep 30 11:58:06 2025 commencing in-memory singleton removal
  61. Tue Sep 30 11:58:58 2025 begin with 469347192 relations and 424771080 unique ideals
  62. Tue Sep 30 12:03:05 2025 reduce to 468905304 relations and 410703834 ideals in 9 passes
  63. Tue Sep 30 12:03:05 2025 max relations containing the same ideal: 111
  64. Tue Sep 30 12:06:56 2025 removing 14438810 relations and 12438810 ideals in 2000000 cliques
  65. Tue Sep 30 12:07:09 2025 commencing in-memory singleton removal
  66. Tue Sep 30 12:07:59 2025 begin with 454466494 relations and 410703834 unique ideals
  67. Tue Sep 30 12:11:59 2025 reduce to 454076568 relations and 397873300 ideals in 9 passes
  68. Tue Sep 30 12:11:59 2025 max relations containing the same ideal: 109
  69. Tue Sep 30 12:15:41 2025 removing 13637388 relations and 11637388 ideals in 2000000 cliques
  70. Tue Sep 30 12:15:53 2025 commencing in-memory singleton removal
  71. Tue Sep 30 12:16:41 2025 begin with 440439180 relations and 397873300 unique ideals
  72. Tue Sep 30 12:20:32 2025 reduce to 440078826 relations and 385873971 ideals in 9 passes
  73. Tue Sep 30 12:20:32 2025 max relations containing the same ideal: 105
  74. Tue Sep 30 12:24:06 2025 removing 13052504 relations and 11052504 ideals in 2000000 cliques
  75. Tue Sep 30 12:24:18 2025 commencing in-memory singleton removal
  76. Tue Sep 30 12:25:05 2025 begin with 427026322 relations and 385873971 unique ideals
  77. Tue Sep 30 12:29:12 2025 reduce to 426685229 relations and 374478845 ideals in 10 passes
  78. Tue Sep 30 12:29:12 2025 max relations containing the same ideal: 104
  79. Tue Sep 30 12:32:38 2025 removing 12598571 relations and 10598571 ideals in 2000000 cliques
  80. Tue Sep 30 12:32:50 2025 commencing in-memory singleton removal
  81. Tue Sep 30 12:33:35 2025 begin with 414086658 relations and 374478845 unique ideals
  82. Tue Sep 30 12:37:10 2025 reduce to 413760670 relations and 363552814 ideals in 9 passes
  83. Tue Sep 30 12:37:10 2025 max relations containing the same ideal: 103
  84. Tue Sep 30 12:40:30 2025 removing 12242988 relations and 10242988 ideals in 2000000 cliques
  85. Tue Sep 30 12:40:42 2025 commencing in-memory singleton removal
  86. Tue Sep 30 12:41:26 2025 begin with 401517682 relations and 363552814 unique ideals
  87. Tue Sep 30 12:44:31 2025 reduce to 401198851 relations and 352989493 ideals in 8 passes
  88. Tue Sep 30 12:44:31 2025 max relations containing the same ideal: 99
  89. Tue Sep 30 12:47:42 2025 removing 11952597 relations and 9952597 ideals in 2000000 cliques
  90. Tue Sep 30 12:47:53 2025 commencing in-memory singleton removal
  91. Tue Sep 30 12:48:35 2025 begin with 389246254 relations and 352989493 unique ideals
  92. Tue Sep 30 12:51:35 2025 reduce to 388931904 relations and 342720981 ideals in 8 passes
  93. Tue Sep 30 12:51:35 2025 max relations containing the same ideal: 98
  94. Tue Sep 30 12:54:39 2025 removing 11715162 relations and 9715162 ideals in 2000000 cliques
  95. Tue Sep 30 12:54:50 2025 commencing in-memory singleton removal
  96. Tue Sep 30 12:55:31 2025 begin with 377216742 relations and 342720981 unique ideals
  97. Tue Sep 30 12:58:44 2025 reduce to 376904061 relations and 332691648 ideals in 9 passes
  98. Tue Sep 30 12:58:44 2025 max relations containing the same ideal: 95
  99. Tue Sep 30 13:01:44 2025 removing 11517759 relations and 9517759 ideals in 2000000 cliques
  100. Tue Sep 30 13:01:54 2025 commencing in-memory singleton removal
  101. Tue Sep 30 13:02:34 2025 begin with 365386302 relations and 332691648 unique ideals
  102. Tue Sep 30 13:05:21 2025 reduce to 365076064 relations and 322862013 ideals in 8 passes
  103. Tue Sep 30 13:05:21 2025 max relations containing the same ideal: 94
  104. Tue Sep 30 13:08:16 2025 removing 11358520 relations and 9358520 ideals in 2000000 cliques
  105. Tue Sep 30 13:08:26 2025 commencing in-memory singleton removal
  106. Tue Sep 30 13:09:04 2025 begin with 353717544 relations and 322862013 unique ideals
  107. Tue Sep 30 13:11:44 2025 reduce to 353405679 relations and 313190060 ideals in 8 passes
  108. Tue Sep 30 13:11:44 2025 max relations containing the same ideal: 94
  109. Tue Sep 30 13:14:30 2025 removing 11217525 relations and 9217525 ideals in 2000000 cliques
  110. Tue Sep 30 13:14:40 2025 commencing in-memory singleton removal
  111. Tue Sep 30 13:15:16 2025 begin with 342188154 relations and 313190060 unique ideals
  112. Tue Sep 30 13:17:50 2025 reduce to 341872939 relations and 303655528 ideals in 8 passes
  113. Tue Sep 30 13:17:50 2025 max relations containing the same ideal: 92
  114. Tue Sep 30 13:20:33 2025 removing 11105246 relations and 9105246 ideals in 2000000 cliques
  115. Tue Sep 30 13:20:43 2025 commencing in-memory singleton removal
  116. Tue Sep 30 13:21:17 2025 begin with 330767693 relations and 303655528 unique ideals
  117. Tue Sep 30 13:23:45 2025 reduce to 330449499 relations and 294230415 ideals in 8 passes
  118. Tue Sep 30 13:23:45 2025 max relations containing the same ideal: 88
  119. Tue Sep 30 13:26:15 2025 removing 11012677 relations and 9012677 ideals in 2000000 cliques
  120. Tue Sep 30 13:26:24 2025 commencing in-memory singleton removal
  121. Tue Sep 30 13:26:54 2025 begin with 319436822 relations and 294230415 unique ideals
  122. Tue Sep 30 13:29:22 2025 reduce to 319111521 relations and 284890703 ideals in 9 passes
  123. Tue Sep 30 13:29:22 2025 max relations containing the same ideal: 86
  124. Tue Sep 30 13:31:33 2025 removing 10943773 relations and 8943773 ideals in 2000000 cliques
  125. Tue Sep 30 13:31:40 2025 commencing in-memory singleton removal
  126. Tue Sep 30 13:32:08 2025 begin with 308167748 relations and 284890703 unique ideals
  127. Tue Sep 30 13:34:07 2025 reduce to 307833410 relations and 275610594 ideals in 8 passes
  128. Tue Sep 30 13:34:07 2025 max relations containing the same ideal: 83
  129. Tue Sep 30 13:36:07 2025 removing 10889093 relations and 8889093 ideals in 2000000 cliques
  130. Tue Sep 30 13:36:14 2025 commencing in-memory singleton removal
  131. Tue Sep 30 13:36:39 2025 begin with 296944317 relations and 275610594 unique ideals
  132. Tue Sep 30 13:38:42 2025 reduce to 296599803 relations and 266374972 ideals in 9 passes
  133. Tue Sep 30 13:38:42 2025 max relations containing the same ideal: 81
  134. Tue Sep 30 13:40:33 2025 removing 10853492 relations and 8853492 ideals in 2000000 cliques
  135. Tue Sep 30 13:40:40 2025 commencing in-memory singleton removal
  136. Tue Sep 30 13:41:04 2025 begin with 285746311 relations and 266374972 unique ideals
  137. Tue Sep 30 13:42:46 2025 reduce to 285391314 relations and 257164376 ideals in 8 passes
  138. Tue Sep 30 13:42:46 2025 max relations containing the same ideal: 79
  139. Tue Sep 30 13:44:25 2025 removing 10835300 relations and 8835300 ideals in 2000000 cliques
  140. Tue Sep 30 13:44:31 2025 commencing in-memory singleton removal
  141. Tue Sep 30 13:44:52 2025 begin with 274556014 relations and 257164376 unique ideals
  142. Tue Sep 30 13:46:37 2025 reduce to 274184860 relations and 247955507 ideals in 9 passes
  143. Tue Sep 30 13:46:37 2025 max relations containing the same ideal: 77
  144. Tue Sep 30 13:48:11 2025 removing 10828231 relations and 8828231 ideals in 2000000 cliques
  145. Tue Sep 30 13:48:17 2025 commencing in-memory singleton removal
  146. Tue Sep 30 13:48:37 2025 begin with 263356629 relations and 247955507 unique ideals
  147. Tue Sep 30 13:50:06 2025 reduce to 262971174 relations and 238739290 ideals in 8 passes
  148. Tue Sep 30 13:50:06 2025 max relations containing the same ideal: 77
  149. Tue Sep 30 13:51:37 2025 removing 10834295 relations and 8834295 ideals in 2000000 cliques
  150. Tue Sep 30 13:51:42 2025 commencing in-memory singleton removal
  151. Tue Sep 30 13:52:01 2025 begin with 252136879 relations and 238739290 unique ideals
  152. Tue Sep 30 13:53:36 2025 reduce to 251733908 relations and 229499336 ideals in 9 passes
  153. Tue Sep 30 13:53:36 2025 max relations containing the same ideal: 74
  154. Tue Sep 30 13:55:03 2025 removing 10864333 relations and 8864333 ideals in 2000000 cliques
  155. Tue Sep 30 13:55:08 2025 commencing in-memory singleton removal
  156. Tue Sep 30 13:55:26 2025 begin with 240869575 relations and 229499336 unique ideals
  157. Tue Sep 30 13:56:46 2025 reduce to 240443043 relations and 220205452 ideals in 8 passes
  158. Tue Sep 30 13:56:46 2025 max relations containing the same ideal: 73
  159. Tue Sep 30 13:58:08 2025 removing 10905322 relations and 8905322 ideals in 2000000 cliques
  160. Tue Sep 30 13:58:13 2025 commencing in-memory singleton removal
  161. Tue Sep 30 13:58:29 2025 begin with 229537721 relations and 220205452 unique ideals
  162. Tue Sep 30 14:00:02 2025 reduce to 229085772 relations and 210844754 ideals in 10 passes
  163. Tue Sep 30 14:00:02 2025 max relations containing the same ideal: 70
  164. Tue Sep 30 14:01:19 2025 removing 10969516 relations and 8969516 ideals in 2000000 cliques
  165. Tue Sep 30 14:01:24 2025 commencing in-memory singleton removal
  166. Tue Sep 30 14:01:38 2025 begin with 218116256 relations and 210844754 unique ideals
  167. Tue Sep 30 14:02:56 2025 reduce to 217631054 relations and 201386208 ideals in 9 passes
  168. Tue Sep 30 14:02:56 2025 max relations containing the same ideal: 67
  169. Tue Sep 30 14:04:08 2025 removing 11051654 relations and 9051654 ideals in 2000000 cliques
  170. Tue Sep 30 14:04:13 2025 commencing in-memory singleton removal
  171. Tue Sep 30 14:04:27 2025 begin with 206579400 relations and 201386208 unique ideals
  172. Tue Sep 30 14:05:31 2025 reduce to 206057119 relations and 191808061 ideals in 8 passes
  173. Tue Sep 30 14:05:31 2025 max relations containing the same ideal: 64
  174. Tue Sep 30 14:06:39 2025 removing 11157459 relations and 9157459 ideals in 2000000 cliques
  175. Tue Sep 30 14:06:44 2025 commencing in-memory singleton removal
  176. Tue Sep 30 14:06:56 2025 begin with 194899660 relations and 191808061 unique ideals
  177. Tue Sep 30 14:08:10 2025 reduce to 194332448 relations and 182078504 ideals in 10 passes
  178. Tue Sep 30 14:08:10 2025 max relations containing the same ideal: 62
  179. Tue Sep 30 14:09:13 2025 removing 10081234 relations and 8342500 ideals in 1738734 cliques
  180. Tue Sep 30 14:09:17 2025 commencing in-memory singleton removal
  181. Tue Sep 30 14:09:29 2025 begin with 184251214 relations and 182078504 unique ideals
  182. Tue Sep 30 14:10:23 2025 reduce to 183760526 relations and 173241297 ideals in 8 passes
  183. Tue Sep 30 14:10:23 2025 max relations containing the same ideal: 59
  184. Tue Sep 30 14:11:35 2025 relations with 0 large ideals: 582933
  185. Tue Sep 30 14:11:35 2025 relations with 1 large ideals: 1309500
  186. Tue Sep 30 14:11:35 2025 relations with 2 large ideals: 7481360
  187. Tue Sep 30 14:11:35 2025 relations with 3 large ideals: 23882285
  188. Tue Sep 30 14:11:35 2025 relations with 4 large ideals: 46821513
  189. Tue Sep 30 14:11:35 2025 relations with 5 large ideals: 54274970
  190. Tue Sep 30 14:11:35 2025 relations with 6 large ideals: 34519674
  191. Tue Sep 30 14:11:35 2025 relations with 7+ large ideals: 14888291
  192. Tue Sep 30 14:11:35 2025 commencing 2-way merge
  193. Tue Sep 30 14:13:05 2025 reduce to 105048552 relation sets and 94529323 unique ideals
  194. Tue Sep 30 14:13:05 2025 commencing full merge
  195. Tue Sep 30 14:38:55 2025 memory use: 4847.1 MB
  196. Tue Sep 30 14:38:57 2025 found 8285460 cycles, need 26158036
  197. Tue Sep 30 14:38:57 2025 too few cycles, matrix probably cannot build
  198. Tue Sep 30 14:38:57 2025 filtering wants 1000000 more relations
  199. Tue Sep 30 14:38:57 2025 elapsed time 12:08:43
  200. Thu Oct 2 22:05:41 2025
  201. Thu Oct 2 22:05:41 2025
  202. Thu Oct 2 22:05:41 2025 Msieve v. 1.54 (SVN msieve-lacuda-nfsathome-cuda11.5)
  203. Thu Oct 2 22:05:41 2025 random seeds: 74db2dac a2dda73c
  204. Thu Oct 2 22:05:41 2025 factoring 3864051751400794653929635396194430131000829145149055970842298472109638861122174073134161688503313269177701476841634870544172126788042997500362454577863009789676492642733962231471380159169814832348281702071088203554826751021 (223 digits)
  205. Thu Oct 2 22:05:42 2025 no P-1/P+1/ECM available, skipping
  206. Thu Oct 2 22:05:42 2025 commencing number field sieve (223-digit input)
  207. Thu Oct 2 22:05:42 2025 R0: -6452389184720949856740872794933738025334109298792472139250504213
  208. Thu Oct 2 22:05:42 2025 R1: 3987795824799770715342824788687062628452272409956636682999616408
  209. Thu Oct 2 22:05:42 2025 A0: 1
  210. Thu Oct 2 22:05:42 2025 A1: 2
  211. Thu Oct 2 22:05:42 2025 A2: 4
  212. Thu Oct 2 22:05:42 2025 A3: 3
  213. Thu Oct 2 22:05:42 2025 A4: 1
  214. Thu Oct 2 22:05:42 2025 skew 1.26, size 5.215e-26, alpha 1.694, combined = 1.693e-15 rroots = 0
  215. Thu Oct 2 22:05:42 2025
  216. Thu Oct 2 22:05:42 2025 commencing relation filtering
  217. Thu Oct 2 22:05:42 2025 setting target matrix density to 135.0
  218. Thu Oct 2 22:05:42 2025 estimated available RAM is 1031034.1 MB
  219. Thu Oct 2 22:05:42 2025 commencing duplicate removal, pass 1
  220. Fri Oct 3 02:23:05 2025 skipped 362880 relations with b > 2^32
  221. Fri Oct 3 02:23:05 2025 found 86201657 hash collisions in 1387275254 relations
  222. Fri Oct 3 02:23:05 2025 commencing duplicate removal, pass 2
  223. Fri Oct 3 02:54:35 2025 found 38947073 duplicates and 1348328181 unique relations
  224. Fri Oct 3 02:54:35 2025 memory use: 4435.0 MB
  225. Fri Oct 3 02:54:36 2025 reading ideals above 720000
  226. Fri Oct 3 02:54:36 2025 commencing singleton removal, initial pass
  227. Fri Oct 3 09:52:21 2025 memory use: 41024.0 MB
  228. Fri Oct 3 09:52:22 2025 reading all ideals from disk
  229. Fri Oct 3 09:52:45 2025 memory use: 69848.8 MB
  230. Fri Oct 3 09:54:52 2025 keeping 1330258720 ideals with weight <= 200, target excess is 10224921
  231. Fri Oct 3 09:57:39 2025 commencing in-memory singleton removal
  232. Fri Oct 3 09:59:43 2025 begin with 1348328181 relations and 1330258720 unique ideals
  233. Fri Oct 3 10:13:29 2025 reduce to 663522750 relations and 550150705 ideals in 18 passes
  234. Fri Oct 3 10:13:29 2025 max relations containing the same ideal: 135
  235. Fri Oct 3 10:18:03 2025 removing 20960169 relations and 18960169 ideals in 2000000 cliques
  236. Fri Oct 3 10:18:25 2025 commencing in-memory singleton removal
  237. Fri Oct 3 10:19:24 2025 begin with 642562581 relations and 550150705 unique ideals
  238. Fri Oct 3 10:24:53 2025 reduce to 642067689 relations and 530693296 ideals in 9 passes
  239. Fri Oct 3 10:24:53 2025 max relations containing the same ideal: 131
  240. Fri Oct 3 10:29:15 2025 removing 15502622 relations and 13502622 ideals in 2000000 cliques
  241. Fri Oct 3 10:29:35 2025 commencing in-memory singleton removal
  242. Fri Oct 3 10:30:33 2025 begin with 626565067 relations and 530693296 unique ideals
  243. Fri Oct 3 10:35:48 2025 reduce to 626269660 relations and 516894179 ideals in 9 passes
  244. Fri Oct 3 10:35:48 2025 max relations containing the same ideal: 128
  245. Fri Oct 3 10:40:05 2025 removing 13738479 relations and 11738479 ideals in 2000000 cliques
  246. Fri Oct 3 10:40:24 2025 commencing in-memory singleton removal
  247. Fri Oct 3 10:41:22 2025 begin with 612531181 relations and 516894179 unique ideals
  248. Fri Oct 3 10:46:00 2025 reduce to 612291346 relations and 504914988 ideals in 8 passes
  249. Fri Oct 3 10:46:00 2025 max relations containing the same ideal: 126
  250. Fri Oct 3 10:50:13 2025 removing 12719073 relations and 10719073 ideals in 2000000 cliques
  251. Fri Oct 3 10:50:32 2025 commencing in-memory singleton removal
  252. Fri Oct 3 10:51:28 2025 begin with 599572273 relations and 504914988 unique ideals
  253. Fri Oct 3 10:55:26 2025 reduce to 599357838 relations and 493980745 ideals in 7 passes
  254. Fri Oct 3 10:55:26 2025 max relations containing the same ideal: 125
  255. Fri Oct 3 10:59:32 2025 removing 12014806 relations and 10014806 ideals in 2000000 cliques
  256. Fri Oct 3 10:59:50 2025 commencing in-memory singleton removal
  257. Fri Oct 3 11:00:43 2025 begin with 587343032 relations and 493980745 unique ideals
  258. Fri Oct 3 11:05:05 2025 reduce to 587145244 relations and 483767400 ideals in 8 passes
  259. Fri Oct 3 11:05:05 2025 max relations containing the same ideal: 122
  260. Fri Oct 3 11:09:03 2025 removing 11495119 relations and 9495119 ideals in 2000000 cliques
  261. Fri Oct 3 11:09:21 2025 commencing in-memory singleton removal
  262. Fri Oct 3 11:10:13 2025 begin with 575650125 relations and 483767400 unique ideals
  263. Fri Oct 3 11:14:28 2025 reduce to 575464146 relations and 474085691 ideals in 8 passes
  264. Fri Oct 3 11:14:28 2025 max relations containing the same ideal: 121
  265. Fri Oct 3 11:18:23 2025 removing 11081996 relations and 9081996 ideals in 2000000 cliques
  266. Fri Oct 3 11:18:41 2025 commencing in-memory singleton removal
  267. Fri Oct 3 11:19:32 2025 begin with 564382150 relations and 474085691 unique ideals
  268. Fri Oct 3 11:23:14 2025 reduce to 564205892 relations and 464826801 ideals in 7 passes
  269. Fri Oct 3 11:23:14 2025 max relations containing the same ideal: 120
  270. Fri Oct 3 11:27:06 2025 removing 10749682 relations and 8749682 ideals in 2000000 cliques
  271. Fri Oct 3 11:27:23 2025 commencing in-memory singleton removal
  272. Fri Oct 3 11:28:13 2025 begin with 553456210 relations and 464826801 unique ideals
  273. Fri Oct 3 11:32:22 2025 reduce to 553286938 relations and 455907236 ideals in 8 passes
  274. Fri Oct 3 11:32:22 2025 max relations containing the same ideal: 120
  275. Fri Oct 3 11:36:12 2025 removing 10471659 relations and 8471659 ideals in 2000000 cliques
  276. Fri Oct 3 11:36:30 2025 commencing in-memory singleton removal
  277. Fri Oct 3 11:37:19 2025 begin with 542815279 relations and 455907236 unique ideals
  278. Fri Oct 3 11:41:21 2025 reduce to 542650053 relations and 447269776 ideals in 8 passes
  279. Fri Oct 3 11:41:21 2025 max relations containing the same ideal: 117
  280. Fri Oct 3 11:45:04 2025 removing 10242768 relations and 8242768 ideals in 2000000 cliques
  281. Fri Oct 3 11:45:21 2025 commencing in-memory singleton removal
  282. Fri Oct 3 11:46:07 2025 begin with 532407285 relations and 447269776 unique ideals
  283. Fri Oct 3 11:49:00 2025 reduce to 532245947 relations and 438865085 ideals in 6 passes
  284. Fri Oct 3 11:49:00 2025 max relations containing the same ideal: 116
  285. Fri Oct 3 11:52:33 2025 removing 10041931 relations and 8041931 ideals in 2000000 cliques
  286. Fri Oct 3 11:52:49 2025 commencing in-memory singleton removal
  287. Fri Oct 3 11:53:34 2025 begin with 522204016 relations and 438865085 unique ideals
  288. Fri Oct 3 11:56:47 2025 reduce to 522046492 relations and 430665044 ideals in 7 passes
  289. Fri Oct 3 11:56:47 2025 max relations containing the same ideal: 116
  290. Fri Oct 3 12:00:12 2025 removing 9867363 relations and 7867363 ideals in 2000000 cliques
  291. Fri Oct 3 12:00:29 2025 commencing in-memory singleton removal
  292. Fri Oct 3 12:01:13 2025 begin with 512179129 relations and 430665044 unique ideals
  293. Fri Oct 3 12:04:09 2025 reduce to 512022482 relations and 422640444 ideals in 7 passes
  294. Fri Oct 3 12:04:09 2025 max relations containing the same ideal: 112
  295. Fri Oct 3 12:06:49 2025 removing 9715761 relations and 7715761 ideals in 2000000 cliques
  296. Fri Oct 3 12:07:01 2025 commencing in-memory singleton removal
  297. Fri Oct 3 12:07:36 2025 begin with 502306721 relations and 422640444 unique ideals
  298. Fri Oct 3 12:10:20 2025 reduce to 502152453 relations and 414769830 ideals in 7 passes
  299. Fri Oct 3 12:10:20 2025 max relations containing the same ideal: 110
  300. Fri Oct 3 12:12:56 2025 removing 9581504 relations and 7581504 ideals in 2000000 cliques
  301. Fri Oct 3 12:13:08 2025 commencing in-memory singleton removal
  302. Fri Oct 3 12:13:42 2025 begin with 492570949 relations and 414769830 unique ideals
  303. Fri Oct 3 12:16:32 2025 reduce to 492416714 relations and 407033545 ideals in 8 passes
  304. Fri Oct 3 12:16:32 2025 max relations containing the same ideal: 109
  305. Fri Oct 3 12:19:05 2025 removing 9462371 relations and 7462371 ideals in 2000000 cliques
  306. Fri Oct 3 12:19:17 2025 commencing in-memory singleton removal
  307. Fri Oct 3 12:19:50 2025 begin with 482954343 relations and 407033545 unique ideals
  308. Fri Oct 3 12:22:07 2025 reduce to 482800736 relations and 399416942 ideals in 7 passes
  309. Fri Oct 3 12:22:07 2025 max relations containing the same ideal: 108
  310. Fri Oct 3 12:24:35 2025 removing 9356387 relations and 7356387 ideals in 2000000 cliques
  311. Fri Oct 3 12:24:45 2025 commencing in-memory singleton removal
  312. Fri Oct 3 12:25:18 2025 begin with 473444349 relations and 399416942 unique ideals
  313. Fri Oct 3 12:27:14 2025 reduce to 473291265 relations and 391906815 ideals in 6 passes
  314. Fri Oct 3 12:27:14 2025 max relations containing the same ideal: 105
  315. Fri Oct 3 12:29:39 2025 removing 9267163 relations and 7267163 ideals in 2000000 cliques
  316. Fri Oct 3 12:29:49 2025 commencing in-memory singleton removal
  317. Fri Oct 3 12:30:20 2025 begin with 464024102 relations and 391906815 unique ideals
  318. Fri Oct 3 12:32:32 2025 reduce to 463870789 relations and 384485693 ideals in 7 passes
  319. Fri Oct 3 12:32:32 2025 max relations containing the same ideal: 104
  320. Fri Oct 3 12:34:49 2025 removing 9181118 relations and 7181118 ideals in 2000000 cliques
  321. Fri Oct 3 12:34:59 2025 commencing in-memory singleton removal
  322. Fri Oct 3 12:35:30 2025 begin with 454689671 relations and 384485693 unique ideals
  323. Fri Oct 3 12:37:39 2025 reduce to 454534963 relations and 377149187 ideals in 7 passes
  324. Fri Oct 3 12:37:39 2025 max relations containing the same ideal: 102
  325. Fri Oct 3 12:39:52 2025 removing 9105816 relations and 7105816 ideals in 2000000 cliques
  326. Fri Oct 3 12:40:02 2025 commencing in-memory singleton removal
  327. Fri Oct 3 12:40:32 2025 begin with 445429147 relations and 377149187 unique ideals
  328. Fri Oct 3 12:42:21 2025 reduce to 445274318 relations and 369887885 ideals in 6 passes
  329. Fri Oct 3 12:42:21 2025 max relations containing the same ideal: 100
  330. Fri Oct 3 12:44:33 2025 removing 9037680 relations and 7037680 ideals in 2000000 cliques
  331. Fri Oct 3 12:44:42 2025 commencing in-memory singleton removal
  332. Fri Oct 3 12:45:12 2025 begin with 436236638 relations and 369887885 unique ideals
  333. Fri Oct 3 12:47:34 2025 reduce to 436079856 relations and 362692708 ideals in 8 passes
  334. Fri Oct 3 12:47:34 2025 max relations containing the same ideal: 99
  335. Fri Oct 3 12:49:43 2025 removing 8983931 relations and 6983931 ideals in 2000000 cliques
  336. Fri Oct 3 12:49:52 2025 commencing in-memory singleton removal
  337. Fri Oct 3 12:50:22 2025 begin with 427095925 relations and 362692708 unique ideals
  338. Fri Oct 3 12:52:23 2025 reduce to 426938901 relations and 355550991 ideals in 7 passes
  339. Fri Oct 3 12:52:23 2025 max relations containing the same ideal: 98
  340. Fri Oct 3 12:54:36 2025 removing 8926020 relations and 6926020 ideals in 2000000 cliques
  341. Fri Oct 3 12:54:46 2025 commencing in-memory singleton removal
  342. Fri Oct 3 12:55:15 2025 begin with 418012881 relations and 355550991 unique ideals
  343. Fri Oct 3 12:57:34 2025 reduce to 417854469 relations and 348465818 ideals in 7 passes
  344. Fri Oct 3 12:57:34 2025 max relations containing the same ideal: 96
  345. Fri Oct 3 12:59:39 2025 removing 8880411 relations and 6880411 ideals in 2000000 cliques
  346. Fri Oct 3 12:59:49 2025 commencing in-memory singleton removal
  347. Fri Oct 3 13:00:17 2025 begin with 408974058 relations and 348465818 unique ideals
  348. Fri Oct 3 13:02:18 2025 reduce to 408813494 relations and 341424025 ideals in 7 passes
  349. Fri Oct 3 13:02:18 2025 max relations containing the same ideal: 95
  350. Fri Oct 3 13:04:19 2025 removing 8840039 relations and 6840039 ideals in 2000000 cliques
  351. Fri Oct 3 13:04:28 2025 commencing in-memory singleton removal
  352. Fri Oct 3 13:04:55 2025 begin with 399973455 relations and 341424025 unique ideals
  353. Fri Oct 3 13:06:53 2025 reduce to 399810188 relations and 334419855 ideals in 7 passes
  354. Fri Oct 3 13:06:53 2025 max relations containing the same ideal: 94
  355. Fri Oct 3 13:08:52 2025 removing 8804861 relations and 6804861 ideals in 2000000 cliques
  356. Fri Oct 3 13:09:02 2025 commencing in-memory singleton removal
  357. Fri Oct 3 13:09:28 2025 begin with 391005327 relations and 334419855 unique ideals
  358. Fri Oct 3 13:11:07 2025 reduce to 390838643 relations and 327447397 ideals in 6 passes
  359. Fri Oct 3 13:11:07 2025 max relations containing the same ideal: 93
  360. Fri Oct 3 13:13:04 2025 removing 8777859 relations and 6777859 ideals in 2000000 cliques
  361. Fri Oct 3 13:13:13 2025 commencing in-memory singleton removal
  362. Fri Oct 3 13:13:39 2025 begin with 382060784 relations and 327447397 unique ideals
  363. Fri Oct 3 13:15:31 2025 reduce to 381892343 relations and 320500215 ideals in 7 passes
  364. Fri Oct 3 13:15:31 2025 max relations containing the same ideal: 93
  365. Fri Oct 3 13:17:26 2025 removing 8746605 relations and 6746605 ideals in 2000000 cliques
  366. Fri Oct 3 13:17:35 2025 commencing in-memory singleton removal
  367. Fri Oct 3 13:18:00 2025 begin with 373145738 relations and 320500215 unique ideals
  368. Fri Oct 3 13:19:49 2025 reduce to 372974495 relations and 313581446 ideals in 7 passes
  369. Fri Oct 3 13:19:49 2025 max relations containing the same ideal: 92
  370. Fri Oct 3 13:21:41 2025 removing 8729474 relations and 6729474 ideals in 2000000 cliques
  371. Fri Oct 3 13:21:50 2025 commencing in-memory singleton removal
  372. Fri Oct 3 13:22:15 2025 begin with 364245021 relations and 313581446 unique ideals
  373. Fri Oct 3 13:23:46 2025 reduce to 364068278 relations and 306674254 ideals in 6 passes
  374. Fri Oct 3 13:23:46 2025 max relations containing the same ideal: 88
  375. Fri Oct 3 13:25:36 2025 removing 8712155 relations and 6712155 ideals in 2000000 cliques
  376. Fri Oct 3 13:25:44 2025 commencing in-memory singleton removal
  377. Fri Oct 3 13:26:08 2025 begin with 355356123 relations and 306674254 unique ideals
  378. Fri Oct 3 13:27:52 2025 reduce to 355177673 relations and 299782584 ideals in 7 passes
  379. Fri Oct 3 13:27:52 2025 max relations containing the same ideal: 87
  380. Fri Oct 3 13:29:39 2025 removing 8703734 relations and 6703734 ideals in 2000000 cliques
  381. Fri Oct 3 13:29:47 2025 commencing in-memory singleton removal
  382. Fri Oct 3 13:30:11 2025 begin with 346473939 relations and 299782584 unique ideals
  383. Fri Oct 3 13:31:51 2025 reduce to 346290877 relations and 292894722 ideals in 7 passes
  384. Fri Oct 3 13:31:51 2025 max relations containing the same ideal: 86
  385. Fri Oct 3 13:33:35 2025 removing 8691057 relations and 6691057 ideals in 2000000 cliques
  386. Fri Oct 3 13:33:44 2025 commencing in-memory singleton removal
  387. Fri Oct 3 13:34:06 2025 begin with 337599820 relations and 292894722 unique ideals
  388. Fri Oct 3 13:35:45 2025 reduce to 337411754 relations and 286014405 ideals in 7 passes
  389. Fri Oct 3 13:35:45 2025 max relations containing the same ideal: 85
  390. Fri Oct 3 13:37:26 2025 removing 8689090 relations and 6689090 ideals in 2000000 cliques
  391. Fri Oct 3 13:37:34 2025 commencing in-memory singleton removal
  392. Fri Oct 3 13:37:56 2025 begin with 328722664 relations and 286014405 unique ideals
  393. Fri Oct 3 13:39:45 2025 reduce to 328531313 relations and 279132811 ideals in 8 passes
  394. Fri Oct 3 13:39:45 2025 max relations containing the same ideal: 83
  395. Fri Oct 3 13:41:24 2025 removing 8690978 relations and 6690978 ideals in 2000000 cliques
  396. Fri Oct 3 13:41:32 2025 commencing in-memory singleton removal
  397. Fri Oct 3 13:41:53 2025 begin with 319840335 relations and 279132811 unique ideals
  398. Fri Oct 3 13:43:26 2025 reduce to 319642260 relations and 272242485 ideals in 7 passes
  399. Fri Oct 3 13:43:26 2025 max relations containing the same ideal: 82
  400. Fri Oct 3 13:45:02 2025 removing 8697799 relations and 6697799 ideals in 2000000 cliques
  401. Fri Oct 3 13:45:10 2025 commencing in-memory singleton removal
  402. Fri Oct 3 13:45:31 2025 begin with 310944461 relations and 272242485 unique ideals
  403. Fri Oct 3 13:47:00 2025 reduce to 310741447 relations and 265340334 ideals in 7 passes
  404. Fri Oct 3 13:47:00 2025 max relations containing the same ideal: 80
  405. Fri Oct 3 13:48:34 2025 removing 8710622 relations and 6710622 ideals in 2000000 cliques
  406. Fri Oct 3 13:48:42 2025 commencing in-memory singleton removal
  407. Fri Oct 3 13:49:02 2025 begin with 302030825 relations and 265340334 unique ideals
  408. Fri Oct 3 13:50:29 2025 reduce to 301820528 relations and 258418015 ideals in 7 passes
  409. Fri Oct 3 13:50:29 2025 max relations containing the same ideal: 79
  410. Fri Oct 3 13:52:00 2025 removing 8722810 relations and 6722810 ideals in 2000000 cliques
  411. Fri Oct 3 13:52:08 2025 commencing in-memory singleton removal
  412. Fri Oct 3 13:52:27 2025 begin with 293097718 relations and 258418015 unique ideals
  413. Fri Oct 3 13:53:51 2025 reduce to 292882094 relations and 251478080 ideals in 7 passes
  414. Fri Oct 3 13:53:51 2025 max relations containing the same ideal: 78
  415. Fri Oct 3 13:55:21 2025 removing 8740197 relations and 6740197 ideals in 2000000 cliques
  416. Fri Oct 3 13:55:28 2025 commencing in-memory singleton removal
  417. Fri Oct 3 13:55:47 2025 begin with 284141897 relations and 251478080 unique ideals
  418. Fri Oct 3 13:56:57 2025 reduce to 283917256 relations and 244511689 ideals in 6 passes
  419. Fri Oct 3 13:56:57 2025 max relations containing the same ideal: 78
  420. Fri Oct 3 13:58:24 2025 removing 8764657 relations and 6764657 ideals in 2000000 cliques
  421. Fri Oct 3 13:58:31 2025 commencing in-memory singleton removal
  422. Fri Oct 3 13:58:49 2025 begin with 275152599 relations and 244511689 unique ideals
  423. Fri Oct 3 14:00:07 2025 reduce to 274920205 relations and 237513002 ideals in 7 passes
  424. Fri Oct 3 14:00:07 2025 max relations containing the same ideal: 78
  425. Fri Oct 3 14:01:32 2025 removing 8796417 relations and 6796417 ideals in 2000000 cliques
  426. Fri Oct 3 14:01:39 2025 commencing in-memory singleton removal
  427. Fri Oct 3 14:01:56 2025 begin with 266123788 relations and 237513002 unique ideals
  428. Fri Oct 3 14:03:22 2025 reduce to 265882787 relations and 230473791 ideals in 8 passes
  429. Fri Oct 3 14:03:22 2025 max relations containing the same ideal: 74
  430. Fri Oct 3 14:04:44 2025 removing 8832119 relations and 6832119 ideals in 2000000 cliques
  431. Fri Oct 3 14:04:50 2025 commencing in-memory singleton removal
  432. Fri Oct 3 14:05:07 2025 begin with 257050668 relations and 230473791 unique ideals
  433. Fri Oct 3 14:06:30 2025 reduce to 256797621 relations and 223386760 ideals in 8 passes
  434. Fri Oct 3 14:06:30 2025 max relations containing the same ideal: 73
  435. Fri Oct 3 14:07:50 2025 removing 8872676 relations and 6872676 ideals in 2000000 cliques
  436. Fri Oct 3 14:07:56 2025 commencing in-memory singleton removal
  437. Fri Oct 3 14:08:12 2025 begin with 247924945 relations and 223386760 unique ideals
  438. Fri Oct 3 14:09:22 2025 reduce to 247660684 relations and 216247765 ideals in 7 passes
  439. Fri Oct 3 14:09:22 2025 max relations containing the same ideal: 71
  440. Fri Oct 3 14:10:39 2025 removing 8923587 relations and 6923587 ideals in 2000000 cliques
  441. Fri Oct 3 14:10:45 2025 commencing in-memory singleton removal
  442. Fri Oct 3 14:11:01 2025 begin with 238737097 relations and 216247765 unique ideals
  443. Fri Oct 3 14:12:08 2025 reduce to 238460551 relations and 209045449 ideals in 7 passes
  444. Fri Oct 3 14:12:08 2025 max relations containing the same ideal: 69
  445. Fri Oct 3 14:13:22 2025 removing 8982883 relations and 6982883 ideals in 2000000 cliques
  446. Fri Oct 3 14:13:29 2025 commencing in-memory singleton removal
  447. Fri Oct 3 14:13:43 2025 begin with 229477668 relations and 209045449 unique ideals
  448. Fri Oct 3 14:14:48 2025 reduce to 229186597 relations and 201769186 ideals in 7 passes
  449. Fri Oct 3 14:14:48 2025 max relations containing the same ideal: 67
  450. Fri Oct 3 14:15:59 2025 removing 9041966 relations and 7041966 ideals in 2000000 cliques
  451. Fri Oct 3 14:16:05 2025 commencing in-memory singleton removal
  452. Fri Oct 3 14:16:20 2025 begin with 220144631 relations and 201769186 unique ideals
  453. Fri Oct 3 14:17:30 2025 reduce to 219836956 relations and 194416913 ideals in 8 passes
  454. Fri Oct 3 14:17:30 2025 max relations containing the same ideal: 65
  455. Fri Oct 3 14:18:39 2025 removing 9116290 relations and 7116290 ideals in 2000000 cliques
  456. Fri Oct 3 14:18:45 2025 commencing in-memory singleton removal
  457. Fri Oct 3 14:18:58 2025 begin with 210720666 relations and 194416913 unique ideals
  458. Fri Oct 3 14:20:05 2025 reduce to 210393212 relations and 186970378 ideals in 8 passes
  459. Fri Oct 3 14:20:05 2025 max relations containing the same ideal: 62
  460. Fri Oct 3 14:21:12 2025 removing 9205548 relations and 7205548 ideals in 2000000 cliques
  461. Fri Oct 3 14:21:17 2025 commencing in-memory singleton removal
  462. Fri Oct 3 14:21:30 2025 begin with 201187664 relations and 186970378 unique ideals
  463. Fri Oct 3 14:22:33 2025 reduce to 200838731 relations and 179412816 ideals in 8 passes
  464. Fri Oct 3 14:22:33 2025 max relations containing the same ideal: 60
  465. Fri Oct 3 14:23:35 2025 removing 9301270 relations and 7301270 ideals in 2000000 cliques
  466. Fri Oct 3 14:23:41 2025 commencing in-memory singleton removal
  467. Fri Oct 3 14:23:53 2025 begin with 191537461 relations and 179412816 unique ideals
  468. Fri Oct 3 14:24:53 2025 reduce to 191163390 relations and 171734074 ideals in 8 passes
  469. Fri Oct 3 14:24:53 2025 max relations containing the same ideal: 59
  470. Fri Oct 3 14:25:52 2025 removing 9407774 relations and 7407774 ideals in 2000000 cliques
  471. Fri Oct 3 14:25:57 2025 commencing in-memory singleton removal
  472. Fri Oct 3 14:26:09 2025 begin with 181755616 relations and 171734074 unique ideals
  473. Fri Oct 3 14:27:12 2025 reduce to 181349807 relations and 163916629 ideals in 9 passes
  474. Fri Oct 3 14:27:12 2025 max relations containing the same ideal: 57
  475. Fri Oct 3 14:28:09 2025 removing 9532518 relations and 7532518 ideals in 2000000 cliques
  476. Fri Oct 3 14:28:14 2025 commencing in-memory singleton removal
  477. Fri Oct 3 14:28:25 2025 begin with 171817289 relations and 163916629 unique ideals
  478. Fri Oct 3 14:29:18 2025 reduce to 171377742 relations and 155940221 ideals in 8 passes
  479. Fri Oct 3 14:29:18 2025 max relations containing the same ideal: 54
  480. Fri Oct 3 14:30:12 2025 removing 9678425 relations and 7678425 ideals in 2000000 cliques
  481. Fri Oct 3 14:30:17 2025 commencing in-memory singleton removal
  482. Fri Oct 3 14:30:26 2025 begin with 161699317 relations and 155940221 unique ideals
  483. Fri Oct 3 14:31:22 2025 reduce to 161216835 relations and 147774273 ideals in 9 passes
  484. Fri Oct 3 14:31:22 2025 max relations containing the same ideal: 52
  485. Fri Oct 3 14:32:13 2025 removing 8141049 relations and 6559396 ideals in 1581653 cliques
  486. Fri Oct 3 14:32:17 2025 commencing in-memory singleton removal
  487. Fri Oct 3 14:32:26 2025 begin with 153075786 relations and 147774273 unique ideals
  488. Fri Oct 3 14:33:13 2025 reduce to 152719307 relations and 140855394 ideals in 8 passes
  489. Fri Oct 3 14:33:13 2025 max relations containing the same ideal: 52
  490. Fri Oct 3 14:34:14 2025 relations with 0 large ideals: 681628
  491. Fri Oct 3 14:34:14 2025 relations with 1 large ideals: 1848225
  492. Fri Oct 3 14:34:14 2025 relations with 2 large ideals: 9355519
  493. Fri Oct 3 14:34:14 2025 relations with 3 large ideals: 25892011
  494. Fri Oct 3 14:34:14 2025 relations with 4 large ideals: 43576760
  495. Fri Oct 3 14:34:14 2025 relations with 5 large ideals: 42242845
  496. Fri Oct 3 14:34:14 2025 relations with 6 large ideals: 21974866
  497. Fri Oct 3 14:34:14 2025 relations with 7+ large ideals: 7147453
  498. Fri Oct 3 14:34:14 2025 commencing 2-way merge
  499. Fri Oct 3 14:35:28 2025 reduce to 88782670 relation sets and 76918757 unique ideals
  500. Fri Oct 3 14:35:28 2025 commencing full merge
  501. Fri Oct 3 14:52:06 2025 memory use: 7989.3 MB
  502. Fri Oct 3 14:52:11 2025 found 36496207 cycles, need 35984957
  503. Fri Oct 3 14:52:23 2025 weight of 35984957 cycles is about 4857973235 (135.00/cycle)
  504. Fri Oct 3 14:52:23 2025 distribution of cycle lengths:
  505. Fri Oct 3 14:52:23 2025 1 relations: 3128538
  506. Fri Oct 3 14:52:23 2025 2 relations: 2195080
  507. Fri Oct 3 14:52:23 2025 3 relations: 2048653
  508. Fri Oct 3 14:52:23 2025 4 relations: 2019996
  509. Fri Oct 3 14:52:23 2025 5 relations: 1989704
  510. Fri Oct 3 14:52:23 2025 6 relations: 1969371
  511. Fri Oct 3 14:52:23 2025 7 relations: 1946025
  512. Fri Oct 3 14:52:23 2025 8 relations: 1903204
  513. Fri Oct 3 14:52:23 2025 9 relations: 1849028
  514. Fri Oct 3 14:52:23 2025 10+ relations: 16935358
  515. Fri Oct 3 14:52:23 2025 heaviest cycle: 28 relations
  516. Fri Oct 3 14:52:29 2025 commencing cycle optimization
  517. Fri Oct 3 14:53:33 2025 start with 353697217 relations
  518. Fri Oct 3 15:04:00 2025 pruned 14142523 relations
  519. Fri Oct 3 15:04:01 2025 memory use: 9561.3 MB
  520. Fri Oct 3 15:04:01 2025 distribution of cycle lengths:
  521. Fri Oct 3 15:04:01 2025 1 relations: 3128538
  522. Fri Oct 3 15:04:01 2025 2 relations: 2238000
  523. Fri Oct 3 15:04:01 2025 3 relations: 2121412
  524. Fri Oct 3 15:04:01 2025 4 relations: 2090357
  525. Fri Oct 3 15:04:01 2025 5 relations: 2075525
  526. Fri Oct 3 15:04:01 2025 6 relations: 2051447
  527. Fri Oct 3 15:04:01 2025 7 relations: 2034849
  528. Fri Oct 3 15:04:01 2025 8 relations: 1988230
  529. Fri Oct 3 15:04:01 2025 9 relations: 1936449
  530. Fri Oct 3 15:04:01 2025 10+ relations: 16320150
  531. Fri Oct 3 15:04:01 2025 heaviest cycle: 28 relations
  532. Fri Oct 3 15:05:45 2025 RelProcTime: 61203
  533. Fri Oct 3 15:05:45 2025
  534. Fri Oct 3 15:05:45 2025 commencing linear algebra
  535. Fri Oct 3 15:05:45 2025 using VBITS=256
  536. Fri Oct 3 15:05:47 2025 read 35984957 cycles
  537. Fri Oct 3 15:06:49 2025 cycles contain 144551591 unique relations
  538. Fri Oct 3 15:32:06 2025 read 144551591 relations
  539. Fri Oct 3 15:36:14 2025 using 20 quadratic characters above 4294917295
  540. Fri Oct 3 15:44:34 2025 building initial matrix
  541. Fri Oct 3 16:16:34 2025 memory use: 18332.3 MB
  542. Fri Oct 3 16:16:49 2025 read 35984957 cycles
  543. Fri Oct 3 16:16:53 2025 matrix is 35984772 x 35984957 (18849.1 MB) with weight 5359535200 (148.94/col)
  544. Fri Oct 3 16:16:53 2025 sparse part has weight 4545332297 (126.31/col)
  545. Fri Oct 3 16:25:08 2025 filtering completed in 2 passes
  546. Fri Oct 3 16:25:14 2025 matrix is 35976201 x 35976364 (18847.9 MB) with weight 5359117494 (148.96/col)
  547. Fri Oct 3 16:25:14 2025 sparse part has weight 4545120074 (126.34/col)
  548. Fri Oct 3 16:40:26 2025 matrix starts at (0, 0)
  549. Fri Oct 3 16:40:29 2025 matrix is 35976201 x 35976364 (18847.9 MB) with weight 5359117494 (148.96/col)
  550. Fri Oct 3 16:40:29 2025 sparse part has weight 4545120074 (126.34/col)
  551. Fri Oct 3 16:40:29 2025 saving the first 240 matrix rows for later
  552. Fri Oct 3 16:40:35 2025 matrix includes 256 packed rows
  553. Fri Oct 3 16:40:43 2025 matrix is 35975961 x 35976364 (17413.9 MB) with weight 4181012136 (116.22/col)
  554. Fri Oct 3 16:40:43 2025 sparse part has weight 3989328643 (110.89/col)
  555. Fri Oct 3 16:40:43 2025 using GPU 0 (NVIDIA L40S)
  556. Fri Oct 3 16:40:43 2025 selected card has CUDA arch 8.9
  557. Fri Oct 3 16:45:37 2025 commencing Lanczos iteration
  558. vector memory use: 7685.4 MB
  559. dense rows memory use: 1097.9 MB
  560. sparse matrix memory use: 31259.6 MB
  561. memory use: 40042.9 MB
  562. Allocated 1283.0 MB for SpMV library
  563. Fri Oct 3 16:47:45 2025 linear algebra at 0.1%, ETA 40h45m
  564. Fri Oct 3 16:50:53 2025 checking every 10000 dimensions, checkpointing every 450000 dimensions
  565. Sun Oct 5 09:43:04 2025 lanczos halted after 140951 iterations (dim = 35975961)
  566. Sun Oct 5 09:45:02 2025 recovered 39 nontrivial dependencies
  567. Sun Oct 5 09:45:03 2025 BLanczosTime: 153558
  568. Sun Oct 5 09:45:03 2025
  569. Sun Oct 5 09:45:03 2025 commencing square root phase
  570. Sun Oct 5 09:45:03 2025 handling dependencies 1 to 64
  571. Sun Oct 5 09:45:03 2025 reading relations for dependency 1
  572. Sun Oct 5 09:45:11 2025 read 17986307 cycles
  573. Sun Oct 5 09:45:45 2025 cycles contain 72273520 unique relations
  574. Sun Oct 5 10:12:18 2025 read 72273520 relations
  575. Sun Oct 5 10:16:57 2025 multiplying 72273520 relations
  576. Sun Oct 5 10:44:57 2025 multiply complete, coefficients have about 2045.60 million bits
  577. Sun Oct 5 10:45:02 2025 initial square root is modulo 1499643787
  578. Sun Oct 5 11:10:03 2025 sqrtTime: 5100
  579. Sun Oct 5 11:10:03 2025 p107 factor: 17815104135903664187511649635876904737179199464384205916337772616058154169652385412613881438092326933898701
  580. Sun Oct 5 11:10:03 2025 p117 factor: 216897511343387504738164940072510366547799122767528028756146180486577322047551160121366046361373693583204161613668321
  581. Sun Oct 5 11:10:03 2025 elapsed time 61:04:22
  582.  
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