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5_2_829m1 log

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Dec 18th, 2023
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  1. Mon Dec 11 22:39:37 2023
  2. Mon Dec 11 22:39:37 2023
  3. Mon Dec 11 22:39:37 2023 Msieve v. 1.54 (SVN 1028)
  4. Mon Dec 11 22:39:37 2023 random seeds: 22cf1e0e 3906b286
  5. Mon Dec 11 22:39:37 2023 factoring 35077203164051994676067865757860277650649575361773826324432979490055294043715203220981048557305139633538019181630492906197007892892593121457738116359227734221532586720562299687990741702639591256228330520210032340738570305055577006888913400643 (242 digits)
  6. Mon Dec 11 22:39:39 2023 no P-1/P+1/ECM available, skipping
  7. Mon Dec 11 22:39:39 2023 commencing number field sieve (242-digit input)
  8. Mon Dec 11 22:39:39 2023 R0: 348449143727040986586495598010130648530944
  9. Mon Dec 11 22:39:39 2023 R1: -1
  10. Mon Dec 11 22:39:39 2023 A0: -1
  11. Mon Dec 11 22:39:39 2023 A1: 0
  12. Mon Dec 11 22:39:39 2023 A2: 0
  13. Mon Dec 11 22:39:39 2023 A3: 0
  14. Mon Dec 11 22:39:39 2023 A4: 0
  15. Mon Dec 11 22:39:39 2023 A5: 0
  16. Mon Dec 11 22:39:39 2023 A6: 10
  17. Mon Dec 11 22:39:39 2023 skew 0.88, size 2.888e-12, alpha 1.180, combined = 2.533e-13 rroots = 2
  18. Mon Dec 11 22:39:39 2023
  19. Mon Dec 11 22:39:39 2023 commencing relation filtering
  20. Mon Dec 11 22:39:39 2023 setting target matrix density to 112.0
  21. Mon Dec 11 22:39:39 2023 estimated available RAM is 128836.4 MB
  22. Mon Dec 11 22:39:39 2023 commencing duplicate removal, pass 1
  23. Mon Dec 11 23:34:36 2023 skipped 248 relations with b > 2^32
  24. Mon Dec 11 23:34:36 2023 skipped 7 relations with composite factors
  25. Mon Dec 11 23:34:36 2023 found 18427690 hash collisions in 294090680 relations
  26. Mon Dec 11 23:34:59 2023 added 1218323 free relations
  27. Mon Dec 11 23:34:59 2023 commencing duplicate removal, pass 2
  28. Mon Dec 11 23:37:33 2023 found 1 duplicates and 295309002 unique relations
  29. Mon Dec 11 23:37:33 2023 memory use: 788.8 MB
  30. Mon Dec 11 23:37:33 2023 reading ideals above 720000
  31. Mon Dec 11 23:37:34 2023 commencing singleton removal, initial pass
  32. Tue Dec 12 00:38:00 2023 memory use: 6024.0 MB
  33. Tue Dec 12 00:38:00 2023 reading all ideals from disk
  34. Tue Dec 12 00:38:15 2023 memory use: 11788.3 MB
  35. Tue Dec 12 00:39:24 2023 keeping 292544837 ideals with weight <= 200, target excess is 2016332
  36. Tue Dec 12 00:40:32 2023 commencing in-memory singleton removal
  37. Tue Dec 12 00:41:12 2023 begin with 295309002 relations and 292544837 unique ideals
  38. Tue Dec 12 00:47:31 2023 reduce to 147431625 relations and 124429998 ideals in 16 passes
  39. Tue Dec 12 00:47:31 2023 max relations containing the same ideal: 133
  40. Tue Dec 12 00:49:10 2023 removing 13993977 relations and 11993977 ideals in 2000000 cliques
  41. Tue Dec 12 00:49:15 2023 commencing in-memory singleton removal
  42. Tue Dec 12 00:49:29 2023 begin with 133437648 relations and 124429998 unique ideals
  43. Tue Dec 12 00:52:30 2023 reduce to 132414271 relations and 111394352 ideals in 10 passes
  44. Tue Dec 12 00:52:30 2023 max relations containing the same ideal: 128
  45. Tue Dec 12 00:53:52 2023 removing 10469622 relations and 8469622 ideals in 2000000 cliques
  46. Tue Dec 12 00:53:56 2023 commencing in-memory singleton removal
  47. Tue Dec 12 00:54:08 2023 begin with 121944649 relations and 111394352 unique ideals
  48. Tue Dec 12 00:56:34 2023 reduce to 121276401 relations and 102246054 ideals in 9 passes
  49. Tue Dec 12 00:56:34 2023 max relations containing the same ideal: 119
  50. Tue Dec 12 00:57:46 2023 removing 9387393 relations and 7387393 ideals in 2000000 cliques
  51. Tue Dec 12 00:57:50 2023 commencing in-memory singleton removal
  52. Tue Dec 12 00:58:01 2023 begin with 111889008 relations and 102246054 unique ideals
  53. Tue Dec 12 01:00:06 2023 reduce to 111303093 relations and 94263519 ideals in 8 passes
  54. Tue Dec 12 01:00:06 2023 max relations containing the same ideal: 111
  55. Tue Dec 12 01:01:10 2023 removing 8811787 relations and 6811787 ideals in 2000000 cliques
  56. Tue Dec 12 01:01:14 2023 commencing in-memory singleton removal
  57. Tue Dec 12 01:01:24 2023 begin with 102491306 relations and 94263519 unique ideals
  58. Tue Dec 12 01:03:15 2023 reduce to 101925672 relations and 86876627 ideals in 7 passes
  59. Tue Dec 12 01:03:15 2023 max relations containing the same ideal: 104
  60. Tue Dec 12 01:04:18 2023 removing 8469896 relations and 6469896 ideals in 2000000 cliques
  61. Tue Dec 12 01:04:22 2023 commencing in-memory singleton removal
  62. Tue Dec 12 01:04:30 2023 begin with 93455776 relations and 86876627 unique ideals
  63. Tue Dec 12 01:06:37 2023 reduce to 92886012 relations and 79827154 ideals in 11 passes
  64. Tue Dec 12 01:06:37 2023 max relations containing the same ideal: 98
  65. Tue Dec 12 01:07:36 2023 removing 8252541 relations and 6252541 ideals in 2000000 cliques
  66. Tue Dec 12 01:07:40 2023 commencing in-memory singleton removal
  67. Tue Dec 12 01:07:48 2023 begin with 84633471 relations and 79827154 unique ideals
  68. Tue Dec 12 01:09:05 2023 reduce to 84042014 relations and 72971819 ideals in 9 passes
  69. Tue Dec 12 01:09:05 2023 max relations containing the same ideal: 90
  70. Tue Dec 12 01:09:52 2023 removing 8125457 relations and 6125457 ideals in 2000000 cliques
  71. Tue Dec 12 01:09:55 2023 commencing in-memory singleton removal
  72. Tue Dec 12 01:10:03 2023 begin with 75916557 relations and 72971819 unique ideals
  73. Tue Dec 12 01:11:19 2023 reduce to 75284570 relations and 66201017 ideals in 8 passes
  74. Tue Dec 12 01:11:19 2023 max relations containing the same ideal: 85
  75. Tue Dec 12 01:12:01 2023 removing 8064965 relations and 6064965 ideals in 2000000 cliques
  76. Tue Dec 12 01:12:03 2023 commencing in-memory singleton removal
  77. Tue Dec 12 01:12:09 2023 begin with 67219605 relations and 66201017 unique ideals
  78. Tue Dec 12 01:13:00 2023 reduce to 66518136 relations and 59418256 ideals in 8 passes
  79. Tue Dec 12 01:13:00 2023 max relations containing the same ideal: 76
  80. Tue Dec 12 01:13:38 2023 removing 8068533 relations and 6068533 ideals in 2000000 cliques
  81. Tue Dec 12 01:13:40 2023 commencing in-memory singleton removal
  82. Tue Dec 12 01:13:45 2023 begin with 58449603 relations and 59418256 unique ideals
  83. Tue Dec 12 01:14:34 2023 reduce to 57644043 relations and 52523242 ideals in 9 passes
  84. Tue Dec 12 01:14:34 2023 max relations containing the same ideal: 69
  85. Tue Dec 12 01:15:07 2023 removing 8145688 relations and 6145688 ideals in 2000000 cliques
  86. Tue Dec 12 01:15:09 2023 commencing in-memory singleton removal
  87. Tue Dec 12 01:15:14 2023 begin with 49498355 relations and 52523242 unique ideals
  88. Tue Dec 12 01:16:00 2023 reduce to 48520586 relations and 45369984 ideals in 10 passes
  89. Tue Dec 12 01:16:00 2023 max relations containing the same ideal: 63
  90. Tue Dec 12 01:16:27 2023 removing 4145523 relations and 3333867 ideals in 811656 cliques
  91. Tue Dec 12 01:16:29 2023 commencing in-memory singleton removal
  92. Tue Dec 12 01:16:33 2023 begin with 44375063 relations and 45369984 unique ideals
  93. Tue Dec 12 01:17:06 2023 reduce to 44090721 relations and 41747510 ideals in 8 passes
  94. Tue Dec 12 01:17:06 2023 max relations containing the same ideal: 58
  95. Tue Dec 12 01:17:37 2023 relations with 0 large ideals: 76806
  96. Tue Dec 12 01:17:37 2023 relations with 1 large ideals: 250284
  97. Tue Dec 12 01:17:37 2023 relations with 2 large ideals: 1484681
  98. Tue Dec 12 01:17:37 2023 relations with 3 large ideals: 4935150
  99. Tue Dec 12 01:17:37 2023 relations with 4 large ideals: 9755182
  100. Tue Dec 12 01:17:37 2023 relations with 5 large ideals: 11946076
  101. Tue Dec 12 01:17:37 2023 relations with 6 large ideals: 9215210
  102. Tue Dec 12 01:17:37 2023 relations with 7+ large ideals: 6427332
  103. Tue Dec 12 01:17:37 2023 commencing 2-way merge
  104. Tue Dec 12 01:18:07 2023 reduce to 26121460 relation sets and 23778249 unique ideals
  105. Tue Dec 12 01:18:07 2023 commencing full merge
  106. Tue Dec 12 01:26:58 2023 memory use: 2666.2 MB
  107. Tue Dec 12 01:27:01 2023 found 11535041 cycles, need 11312449
  108. Tue Dec 12 01:27:07 2023 weight of 11312449 cycles is about 1267226502 (112.02/cycle)
  109. Tue Dec 12 01:27:07 2023 distribution of cycle lengths:
  110. Tue Dec 12 01:27:07 2023 1 relations: 914494
  111. Tue Dec 12 01:27:07 2023 2 relations: 783954
  112. Tue Dec 12 01:27:07 2023 3 relations: 797710
  113. Tue Dec 12 01:27:07 2023 4 relations: 789347
  114. Tue Dec 12 01:27:07 2023 5 relations: 788139
  115. Tue Dec 12 01:27:07 2023 6 relations: 777913
  116. Tue Dec 12 01:27:07 2023 7 relations: 748385
  117. Tue Dec 12 01:27:07 2023 8 relations: 719099
  118. Tue Dec 12 01:27:07 2023 9 relations: 680754
  119. Tue Dec 12 01:27:07 2023 10+ relations: 4312654
  120. Tue Dec 12 01:27:07 2023 heaviest cycle: 28 relations
  121. Tue Dec 12 01:27:11 2023 commencing cycle optimization
  122. Tue Dec 12 01:27:41 2023 start with 94987409 relations
  123. Tue Dec 12 01:31:34 2023 pruned 3423406 relations
  124. Tue Dec 12 01:31:34 2023 memory use: 2727.2 MB
  125. Tue Dec 12 01:31:35 2023 distribution of cycle lengths:
  126. Tue Dec 12 01:31:35 2023 1 relations: 914494
  127. Tue Dec 12 01:31:35 2023 2 relations: 802009
  128. Tue Dec 12 01:31:35 2023 3 relations: 826521
  129. Tue Dec 12 01:31:35 2023 4 relations: 816694
  130. Tue Dec 12 01:31:35 2023 5 relations: 820593
  131. Tue Dec 12 01:31:35 2023 6 relations: 807509
  132. Tue Dec 12 01:31:35 2023 7 relations: 780016
  133. Tue Dec 12 01:31:35 2023 8 relations: 746024
  134. Tue Dec 12 01:31:35 2023 9 relations: 705268
  135. Tue Dec 12 01:31:35 2023 10+ relations: 4093321
  136. Tue Dec 12 01:31:35 2023 heaviest cycle: 27 relations
  137. Tue Dec 12 01:32:03 2023 RelProcTime: 10344
  138. Tue Dec 12 01:32:03 2023 elapsed time 02:52:26
  139. Wed Dec 13 19:08:40 2023
  140. Wed Dec 13 19:08:40 2023
  141. Wed Dec 13 19:08:40 2023 Msieve v. 1.54 (SVN 1028)
  142. Wed Dec 13 19:08:40 2023 random seeds: 547fc70d fe37d404
  143. Wed Dec 13 19:08:40 2023 factoring 35077203164051994676067865757860277650649575361773826324432979490055294043715203220981048557305139633538019181630492906197007892892593121457738116359227734221532586720562299687990741702639591256228330520210032340738570305055577006888913400643 (242 digits)
  144. Wed Dec 13 19:08:42 2023 no P-1/P+1/ECM available, skipping
  145. Wed Dec 13 19:08:42 2023 commencing number field sieve (242-digit input)
  146. Wed Dec 13 19:08:42 2023 R0: 348449143727040986586495598010130648530944
  147. Wed Dec 13 19:08:42 2023 R1: -1
  148. Wed Dec 13 19:08:42 2023 A0: -1
  149. Wed Dec 13 19:08:42 2023 A1: 0
  150. Wed Dec 13 19:08:42 2023 A2: 0
  151. Wed Dec 13 19:08:42 2023 A3: 0
  152. Wed Dec 13 19:08:42 2023 A4: 0
  153. Wed Dec 13 19:08:42 2023 A5: 0
  154. Wed Dec 13 19:08:42 2023 A6: 10
  155. Wed Dec 13 19:08:42 2023 skew 0.88, size 2.888e-12, alpha 1.180, combined = 2.533e-13 rroots = 2
  156. Wed Dec 13 19:08:42 2023
  157. Wed Dec 13 19:08:42 2023 commencing linear algebra
  158. Wed Dec 13 19:08:44 2023 read 11312449 cycles
  159. Wed Dec 13 19:09:18 2023 cycles contain 42427811 unique relations
  160. Wed Dec 13 19:14:25 2023 read 42427811 relations
  161. Wed Dec 13 19:16:05 2023 using 20 quadratic characters above 4294917295
  162. Wed Dec 13 19:19:33 2023 building initial matrix
  163. Wed Dec 13 19:30:47 2023 memory use: 5268.4 MB
  164. Wed Dec 13 19:30:56 2023 read 11312449 cycles
  165. Wed Dec 13 19:30:58 2023 matrix is 11312257 x 11312449 (5031.9 MB) with weight 1445445478 (127.77/col)
  166. Wed Dec 13 19:30:58 2023 sparse part has weight 1194654769 (105.61/col)
  167. Wed Dec 13 19:35:01 2023 filtering completed in 2 passes
  168. Wed Dec 13 19:35:03 2023 matrix is 11307686 x 11307877 (5031.4 MB) with weight 1445248067 (127.81/col)
  169. Wed Dec 13 19:35:03 2023 sparse part has weight 1194559711 (105.64/col)
  170. Wed Dec 13 19:35:47 2023 matrix starts at (0, 0)
  171. Wed Dec 13 19:35:49 2023 matrix is 11307686 x 11307877 (5031.4 MB) with weight 1445248067 (127.81/col)
  172. Wed Dec 13 19:35:49 2023 sparse part has weight 1194559711 (105.64/col)
  173. Wed Dec 13 19:35:49 2023 saving the first 112 matrix rows for later
  174. Wed Dec 13 19:35:52 2023 matrix includes 128 packed rows
  175. Wed Dec 13 19:35:56 2023 matrix is 11307574 x 11307877 (4715.8 MB) with weight 1157604380 (102.37/col)
  176. Wed Dec 13 19:35:56 2023 sparse part has weight 1100525581 (97.32/col)
  177. Wed Dec 13 19:35:56 2023 using block size 8192 and superblock size 1228800 for processor cache size 25600 kB
  178. Wed Dec 13 19:36:43 2023 commencing Lanczos iteration (10 threads)
  179. Wed Dec 13 19:36:43 2023 memory use: 5247.5 MB
  180. Wed Dec 13 19:37:49 2023 linear algebra at 0.0%, ETA 121h11m
  181. Wed Dec 13 19:38:08 2023 checkpointing every 100000 dimensions
  182. Sun Dec 17 22:43:26 2023 lanczos halted after 88872 iterations (dim = 11307571)
  183. Sun Dec 17 22:43:59 2023 recovered 31 nontrivial dependencies
  184. Sun Dec 17 22:44:00 2023 BLanczosTime: 358518
  185. Sun Dec 17 22:44:00 2023
  186. Sun Dec 17 22:44:00 2023 commencing square root phase
  187. Sun Dec 17 22:44:00 2023 reading relations for dependency 1
  188. Sun Dec 17 22:44:01 2023 read 5653397 cycles
  189. Sun Dec 17 22:44:15 2023 cycles contain 21209932 unique relations
  190. Sun Dec 17 22:47:20 2023 read 21209932 relations
  191. Sun Dec 17 22:49:33 2023 multiplying 21209932 relations
  192. Sun Dec 17 23:10:35 2023 multiply complete, coefficients have about 600.11 million bits
  193. Sun Dec 17 23:10:38 2023 initial square root is modulo 242059
  194. Sun Dec 17 23:32:36 2023 sqrtTime: 2916
  195. Sun Dec 17 23:32:36 2023 p77 factor: 29053130403901167158494978342021707006934068897893525998647320352158201232133
  196. Sun Dec 17 23:32:36 2023 p166 factor: 1207346770430697998255934951139545139510427446517724503631920840116084887810196747762736867275948759645891340052984750012951697366164666685838858786085491478033602471
  197. Sun Dec 17 23:32:36 2023 elapsed time 100:23:56
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