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May 28th, 2023
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  1. Sat May 27 08:02:55 2023
  2. Sat May 27 08:02:55 2023
  3. Sat May 27 08:02:55 2023 Msieve v. 1.54 (SVN unknown)
  4. Sat May 27 08:02:55 2023 random seeds: c402827d fe64a629
  5. Sat May 27 08:02:55 2023 factoring 8511172213007664168626755581083648379644655923575290206936277161018711771246143265049054006061620181344396528351538631754234138725557561478967167453604793 (154 digits)
  6. Sat May 27 08:02:56 2023 searching for 15-digit factors
  7. Sat May 27 08:02:56 2023 commencing number field sieve (154-digit input)
  8. Sat May 27 08:02:56 2023 R0: -709930485070244744677308335091
  9. Sat May 27 08:02:56 2023 R1: 208604434205398439
  10. Sat May 27 08:02:56 2023 A0: -327409511590143544483977954880424348800
  11. Sat May 27 08:02:56 2023 A1: 175097058432014067687027743784104
  12. Sat May 27 08:02:56 2023 A2: 55919980079332913585026906
  13. Sat May 27 08:02:56 2023 A3: -12079165615086908315
  14. Sat May 27 08:02:56 2023 A4: 1870534394976
  15. Sat May 27 08:02:56 2023 A5: 47196
  16. Sat May 27 08:02:56 2023 skew 7359176.13, size 5.656e-15, alpha -8.402, combined = 3.110e-12 rroots = 3
  17. Sat May 27 08:02:56 2023
  18. Sat May 27 08:02:56 2023 commencing relation filtering
  19. Sat May 27 08:02:56 2023 setting target matrix density to 140.0
  20. Sat May 27 08:02:56 2023 estimated available RAM is 15536.6 MB
  21. Sat May 27 08:02:56 2023 commencing duplicate removal, pass 1
  22. Sat May 27 08:03:06 2023 error -15 reading relation 3290945
  23. Sat May 27 08:03:11 2023 error -9 reading relation 4992760
  24. Sat May 27 08:03:35 2023 error -1 reading relation 12869593
  25. Sat May 27 08:03:48 2023 error -15 reading relation 17353023
  26. Sat May 27 08:03:48 2023 error -9 reading relation 17441257
  27. Sat May 27 08:04:17 2023 error -1 reading relation 26891920
  28. Sat May 27 08:04:34 2023 error -15 reading relation 32636185
  29. Sat May 27 08:04:39 2023 error -1 reading relation 34576555
  30. Sat May 27 08:04:41 2023 error -1 reading relation 34962911
  31. Sat May 27 08:04:41 2023 error -15 reading relation 35202105
  32. Sat May 27 08:04:43 2023 error -15 reading relation 35638964
  33. Sat May 27 08:04:49 2023 error -15 reading relation 37630170
  34. Sat May 27 08:05:18 2023 error -9 reading relation 47299845
  35. Sat May 27 08:05:22 2023 error -15 reading relation 48714781
  36. Sat May 27 08:05:22 2023 error -1 reading relation 48852869
  37. Sat May 27 08:05:23 2023 error -15 reading relation 49047782
  38. Sat May 27 08:05:24 2023 error -15 reading relation 49599637
  39. Sat May 27 08:05:31 2023 error -15 reading relation 51668610
  40. Sat May 27 08:05:38 2023 error -9 reading relation 54181684
  41. Sat May 27 08:05:39 2023 error -9 reading relation 54484838
  42. Sat May 27 08:05:40 2023 error -9 reading relation 54886284
  43. Sat May 27 08:05:41 2023 error -15 reading relation 55252710
  44. Sat May 27 08:05:41 2023 error -9 reading relation 55353607
  45. Sat May 27 08:06:14 2023 error -1 reading relation 65289395
  46. Sat May 27 08:06:14 2023 error -15 reading relation 65304881
  47. Sat May 27 08:06:14 2023 error -1 reading relation 65308970
  48. Sat May 27 08:06:14 2023 error -15 reading relation 65323093
  49. Sat May 27 08:06:14 2023 error -15 reading relation 65420149
  50. Sat May 27 08:06:22 2023 skipped 20 relations with composite factors
  51. Sat May 27 08:06:22 2023 found 13485839 hash collisions in 67866025 relations
  52. Sat May 27 08:07:03 2023 added 122186 free relations
  53. Sat May 27 08:07:03 2023 commencing duplicate removal, pass 2
  54. Sat May 27 08:08:55 2023 found 12935629 duplicates and 55052582 unique relations
  55. Sat May 27 08:08:55 2023 memory use: 330.4 MB
  56. Sat May 27 08:08:55 2023 reading ideals above 720000
  57. Sat May 27 08:08:55 2023 commencing singleton removal, initial pass
  58. Sat May 27 08:14:26 2023 memory use: 1378.0 MB
  59. Sat May 27 08:14:26 2023 reading all ideals from disk
  60. Sat May 27 08:14:28 2023 memory use: 2381.6 MB
  61. Sat May 27 08:14:35 2023 keeping 47771527 ideals with weight <= 200, target excess is 297566
  62. Sat May 27 08:14:44 2023 commencing in-memory singleton removal
  63. Sat May 27 08:14:47 2023 begin with 55052582 relations and 47771527 unique ideals
  64. Sat May 27 08:14:55 2023 reduce to 38452374 relations and 29697644 ideals in 12 passes
  65. Sat May 27 08:14:55 2023 max relations containing the same ideal: 168
  66. Sat May 27 08:15:15 2023 removing 4213762 relations and 3213762 ideals in 1000000 cliques
  67. Sat May 27 08:15:17 2023 commencing in-memory singleton removal
  68. Sat May 27 08:15:19 2023 begin with 34238612 relations and 29697644 unique ideals
  69. Sat May 27 08:15:23 2023 reduce to 33880432 relations and 26114488 ideals in 7 passes
  70. Sat May 27 08:15:23 2023 max relations containing the same ideal: 151
  71. Sat May 27 08:15:39 2023 removing 3330673 relations and 2330673 ideals in 1000000 cliques
  72. Sat May 27 08:15:42 2023 commencing in-memory singleton removal
  73. Sat May 27 08:15:43 2023 begin with 30549759 relations and 26114488 unique ideals
  74. Sat May 27 08:15:47 2023 reduce to 30301485 relations and 23528325 ideals in 7 passes
  75. Sat May 27 08:15:47 2023 max relations containing the same ideal: 141
  76. Sat May 27 08:16:02 2023 removing 3094439 relations and 2094439 ideals in 1000000 cliques
  77. Sat May 27 08:16:04 2023 commencing in-memory singleton removal
  78. Sat May 27 08:16:05 2023 begin with 27207046 relations and 23528325 unique ideals
  79. Sat May 27 08:16:08 2023 reduce to 26982192 relations and 21202193 ideals in 7 passes
  80. Sat May 27 08:16:08 2023 max relations containing the same ideal: 132
  81. Sat May 27 08:16:22 2023 removing 2978973 relations and 1978973 ideals in 1000000 cliques
  82. Sat May 27 08:16:24 2023 commencing in-memory singleton removal
  83. Sat May 27 08:16:25 2023 begin with 24003219 relations and 21202193 unique ideals
  84. Sat May 27 08:16:27 2023 reduce to 23782308 relations and 18995186 ideals in 6 passes
  85. Sat May 27 08:16:27 2023 max relations containing the same ideal: 121
  86. Sat May 27 08:16:40 2023 removing 2910916 relations and 1910916 ideals in 1000000 cliques
  87. Sat May 27 08:16:42 2023 commencing in-memory singleton removal
  88. Sat May 27 08:16:43 2023 begin with 20871392 relations and 18995186 unique ideals
  89. Sat May 27 08:16:45 2023 reduce to 20644960 relations and 16849668 ideals in 7 passes
  90. Sat May 27 08:16:45 2023 max relations containing the same ideal: 108
  91. Sat May 27 08:16:55 2023 removing 2868007 relations and 1868007 ideals in 1000000 cliques
  92. Sat May 27 08:16:57 2023 commencing in-memory singleton removal
  93. Sat May 27 08:16:58 2023 begin with 17776953 relations and 16849668 unique ideals
  94. Sat May 27 08:17:00 2023 reduce to 17532134 relations and 14727038 ideals in 6 passes
  95. Sat May 27 08:17:00 2023 max relations containing the same ideal: 98
  96. Sat May 27 08:17:09 2023 removing 2842308 relations and 1842308 ideals in 1000000 cliques
  97. Sat May 27 08:17:10 2023 commencing in-memory singleton removal
  98. Sat May 27 08:17:11 2023 begin with 14689826 relations and 14727038 unique ideals
  99. Sat May 27 08:17:13 2023 reduce to 14415108 relations and 12597049 ideals in 7 passes
  100. Sat May 27 08:17:13 2023 max relations containing the same ideal: 86
  101. Sat May 27 08:17:20 2023 removing 2828052 relations and 1828052 ideals in 1000000 cliques
  102. Sat May 27 08:17:22 2023 commencing in-memory singleton removal
  103. Sat May 27 08:17:22 2023 begin with 11587056 relations and 12597049 unique ideals
  104. Sat May 27 08:17:23 2023 reduce to 11261629 relations and 10424675 ideals in 8 passes
  105. Sat May 27 08:17:23 2023 max relations containing the same ideal: 72
  106. Sat May 27 08:17:30 2023 removing 1575913 relations and 1084136 ideals in 491777 cliques
  107. Sat May 27 08:17:31 2023 commencing in-memory singleton removal
  108. Sat May 27 08:17:31 2023 begin with 9685716 relations and 10424675 unique ideals
  109. Sat May 27 08:17:32 2023 reduce to 9536051 relations and 9185049 ideals in 7 passes
  110. Sat May 27 08:17:32 2023 max relations containing the same ideal: 64
  111. Sat May 27 08:17:39 2023 relations with 0 large ideals: 986
  112. Sat May 27 08:17:39 2023 relations with 1 large ideals: 5083
  113. Sat May 27 08:17:39 2023 relations with 2 large ideals: 68999
  114. Sat May 27 08:17:39 2023 relations with 3 large ideals: 410693
  115. Sat May 27 08:17:39 2023 relations with 4 large ideals: 1282913
  116. Sat May 27 08:17:39 2023 relations with 5 large ideals: 2331231
  117. Sat May 27 08:17:39 2023 relations with 6 large ideals: 2611211
  118. Sat May 27 08:17:39 2023 relations with 7+ large ideals: 2824935
  119. Sat May 27 08:17:39 2023 commencing 2-way merge
  120. Sat May 27 08:17:46 2023 reduce to 6421455 relation sets and 6070453 unique ideals
  121. Sat May 27 08:17:46 2023 commencing full merge
  122. Sat May 27 08:21:41 2023 memory use: 793.6 MB
  123. Sat May 27 08:21:42 2023 found 2755584 cycles, need 2750653
  124. Sat May 27 08:21:43 2023 weight of 2750653 cycles is about 385363247 (140.10/cycle)
  125. Sat May 27 08:21:43 2023 distribution of cycle lengths:
  126. Sat May 27 08:21:43 2023 1 relations: 46402
  127. Sat May 27 08:21:43 2023 2 relations: 110567
  128. Sat May 27 08:21:43 2023 3 relations: 149337
  129. Sat May 27 08:21:43 2023 4 relations: 167262
  130. Sat May 27 08:21:43 2023 5 relations: 182055
  131. Sat May 27 08:21:43 2023 6 relations: 189784
  132. Sat May 27 08:21:43 2023 7 relations: 192938
  133. Sat May 27 08:21:44 2023 8 relations: 189980
  134. Sat May 27 08:21:44 2023 9 relations: 183910
  135. Sat May 27 08:21:44 2023 10+ relations: 1338418
  136. Sat May 27 08:21:44 2023 heaviest cycle: 28 relations
  137. Sat May 27 08:21:45 2023 commencing cycle optimization
  138. Sat May 27 08:21:55 2023 start with 28043159 relations
  139. Sat May 27 08:23:48 2023 pruned 1668526 relations
  140. Sat May 27 08:23:48 2023 memory use: 681.2 MB
  141. Sat May 27 08:23:48 2023 distribution of cycle lengths:
  142. Sat May 27 08:23:48 2023 1 relations: 46402
  143. Sat May 27 08:23:48 2023 2 relations: 114227
  144. Sat May 27 08:23:48 2023 3 relations: 156893
  145. Sat May 27 08:23:48 2023 4 relations: 176360
  146. Sat May 27 08:23:48 2023 5 relations: 194200
  147. Sat May 27 08:23:48 2023 6 relations: 202785
  148. Sat May 27 08:23:48 2023 7 relations: 207487
  149. Sat May 27 08:23:48 2023 8 relations: 203670
  150. Sat May 27 08:23:48 2023 9 relations: 197252
  151. Sat May 27 08:23:48 2023 10+ relations: 1251377
  152. Sat May 27 08:23:48 2023 heaviest cycle: 28 relations
  153. Sat May 27 08:23:55 2023 RelProcTime: 1259
  154. Sat May 27 08:23:55 2023 elapsed time 00:21:00
  155. Sat May 27 08:25:05 2023
  156. Sat May 27 08:25:05 2023
  157. Sat May 27 08:25:05 2023 Msieve v. 1.54 (SVN unknown)
  158. Sat May 27 08:25:05 2023 random seeds: 440bb593 5a5c491d
  159. Sat May 27 08:25:05 2023 factoring 8511172213007664168626755581083648379644655923575290206936277161018711771246143265049054006061620181344396528351538631754234138725557561478967167453604793 (154 digits)
  160. Sat May 27 08:25:06 2023 searching for 15-digit factors
  161. Sat May 27 08:25:06 2023 commencing number field sieve (154-digit input)
  162. Sat May 27 08:25:06 2023 R0: -709930485070244744677308335091
  163. Sat May 27 08:25:06 2023 R1: 208604434205398439
  164. Sat May 27 08:25:06 2023 A0: -327409511590143544483977954880424348800
  165. Sat May 27 08:25:06 2023 A1: 175097058432014067687027743784104
  166. Sat May 27 08:25:06 2023 A2: 55919980079332913585026906
  167. Sat May 27 08:25:06 2023 A3: -12079165615086908315
  168. Sat May 27 08:25:06 2023 A4: 1870534394976
  169. Sat May 27 08:25:06 2023 A5: 47196
  170. Sat May 27 08:25:06 2023 skew 7359176.13, size 5.656e-15, alpha -8.402, combined = 3.110e-12 rroots = 3
  171. Sat May 27 08:25:06 2023
  172. Sat May 27 08:25:06 2023 commencing linear algebra
  173. Sat May 27 08:25:06 2023 using VBITS=256
  174. Sat May 27 08:25:07 2023 read 2750653 cycles
  175. Sat May 27 08:25:17 2023 cycles contain 9342068 unique relations
  176. Sat May 27 08:26:44 2023 read 9342068 relations
  177. Sat May 27 08:26:46 2023 using 20 quadratic characters above 4294917295
  178. Sat May 27 08:26:53 2023 building initial matrix
  179. Sat May 27 08:31:28 2023 memory use: 1305.8 MB
  180. Sat May 27 08:31:31 2023 read 2750653 cycles
  181. Sat May 27 08:31:32 2023 matrix is 2750476 x 2750653 (1456.2 MB) with weight 442816093 (160.99/col)
  182. Sat May 27 08:31:32 2023 sparse part has weight 348731087 (126.78/col)
  183. Sat May 27 08:32:28 2023 filtering completed in 2 passes
  184. Sat May 27 08:32:29 2023 matrix is 2750466 x 2750642 (1456.2 MB) with weight 442815332 (160.99/col)
  185. Sat May 27 08:32:29 2023 sparse part has weight 348730711 (126.78/col)
  186. Sat May 27 08:32:50 2023 matrix starts at (0, 0)
  187. Sat May 27 08:32:51 2023 matrix is 2750466 x 2750642 (1456.2 MB) with weight 442815332 (160.99/col)
  188. Sat May 27 08:32:51 2023 sparse part has weight 348730711 (126.78/col)
  189. Sat May 27 08:32:51 2023 saving the first 240 matrix rows for later
  190. Sat May 27 08:32:52 2023 matrix includes 256 packed rows
  191. Sat May 27 08:32:54 2023 matrix is 2750226 x 2750642 (1290.2 MB) with weight 316408718 (115.03/col)
  192. Sat May 27 08:32:54 2023 sparse part has weight 294200758 (106.96/col)
  193. Sat May 27 08:32:54 2023 using block size 8192 and superblock size 878592 for processor cache size 36608 kB
  194. Sat May 27 08:33:07 2023 commencing Lanczos iteration (8 threads)
  195. Sat May 27 08:33:07 2023 memory use: 1699.5 MB
  196. Sat May 27 08:35:21 2023 linear algebra at 1.1%, ETA 3h16m
  197. Sat May 27 08:38:15 2023 checking every 10000 dimensions, checkpointing every 910000 dimensions
  198. Sat May 27 11:27:08 2023 lanczos halted after 10777 iterations (dim = 2750224)
  199. Sat May 27 11:27:21 2023 recovered 26 nontrivial dependencies
  200. Sat May 27 11:27:21 2023 BLanczosTime: 10935
  201. Sat May 27 11:27:21 2023
  202. Sat May 27 11:27:21 2023 commencing square root phase
  203. Sat May 27 11:27:21 2023 reading relations for dependency 1
  204. Sat May 27 11:27:21 2023 read 1374570 cycles
  205. Sat May 27 11:27:24 2023 cycles contain 4669590 unique relations
  206. Sat May 27 11:28:28 2023 read 4669590 relations
  207. Sat May 27 11:28:58 2023 multiplying 4669590 relations
  208. Sat May 27 11:32:40 2023 multiply complete, coefficients have about 245.28 million bits
  209. Sat May 27 11:32:41 2023 initial square root is modulo 634635437
  210. Sat May 27 11:35:50 2023 GCD is 1, no factor found
  211. Sat May 27 11:35:50 2023 reading relations for dependency 2
  212. Sat May 27 11:35:50 2023 read 1375065 cycles
  213. Sat May 27 11:35:55 2023 cycles contain 4668428 unique relations
  214. Sat May 27 11:37:23 2023 read 4668428 relations
  215. Sat May 27 11:37:52 2023 multiplying 4668428 relations
  216. Sat May 27 11:41:36 2023 multiply complete, coefficients have about 245.23 million bits
  217. Sat May 27 11:41:38 2023 initial square root is modulo 631720897
  218. Sat May 27 11:44:41 2023 sqrtTime: 1040
  219. Sat May 27 11:44:41 2023 p70 factor: 2271721975553640971549224531723428770766531886961623001730398273569601
  220. Sat May 27 11:44:41 2023 p85 factor: 3746572998191562527772742902969422151832353996959063134439239728346150023300085391993
  221. Sat May 27 11:44:41 2023 elapsed time 03:19:36
  222.  
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