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Sep 19th, 2022
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  1. Mon Sep 19 20:49:06 2022
  2. Mon Sep 19 20:49:06 2022
  3. Mon Sep 19 20:49:06 2022 Msieve v. 1.54 (SVN unknown)
  4. Mon Sep 19 20:49:06 2022 random seeds: 70b26037 fba9d440
  5. Mon Sep 19 20:49:06 2022 factoring 5400414820441183799040946653233444387338217018036006601036457909564826201198695857779278676583953898425156725958427803984074839163304951876322058210978343 (154 digits)
  6. Mon Sep 19 20:49:07 2022 searching for 15-digit factors
  7. Mon Sep 19 20:49:07 2022 commencing number field sieve (154-digit input)
  8. Mon Sep 19 20:49:07 2022 R0: -516401222977338820202322839352
  9. Mon Sep 19 20:49:07 2022 R1: 221099536938621143
  10. Mon Sep 19 20:49:07 2022 A0: -62113120795575594498758346330314196815
  11. Mon Sep 19 20:49:07 2022 A1: 51853820162190313629835946426068
  12. Mon Sep 19 20:49:07 2022 A2: 39715649466888347872242055
  13. Mon Sep 19 20:49:07 2022 A3: -14756315896470360766
  14. Mon Sep 19 20:49:07 2022 A4: -2967206193122
  15. Mon Sep 19 20:49:07 2022 A5: 147060
  16. Mon Sep 19 20:49:07 2022 skew 4014388.80, size 5.110e-15, alpha -7.253, combined = 2.927e-12 rroots = 5
  17. Mon Sep 19 20:49:07 2022
  18. Mon Sep 19 20:49:07 2022 commencing relation filtering
  19. Mon Sep 19 20:49:07 2022 setting target matrix density to 130.0
  20. Mon Sep 19 20:49:07 2022 estimated available RAM is 31304.4 MB
  21. Mon Sep 19 20:49:07 2022 commencing duplicate removal, pass 1
  22. Mon Sep 19 20:49:52 2022 error -15 reading relation 11100580
  23. Mon Sep 19 20:51:03 2022 error -5 reading relation 28958101
  24. Mon Sep 19 20:51:06 2022 error -1 reading relation 29661334
  25. Mon Sep 19 20:51:09 2022 error -15 reading relation 30282911
  26. Mon Sep 19 20:51:21 2022 error -9 reading relation 33298594
  27. Mon Sep 19 20:51:21 2022 error -1 reading relation 33316090
  28. Mon Sep 19 20:51:21 2022 error -9 reading relation 33420355
  29. Mon Sep 19 20:51:21 2022 error -1 reading relation 33494252
  30. Mon Sep 19 20:51:22 2022 error -5 reading relation 33574047
  31. Mon Sep 19 20:51:58 2022 error -9 reading relation 43215668
  32. Mon Sep 19 20:52:57 2022 skipped 2 relations with composite factors
  33. Mon Sep 19 20:52:57 2022 found 11785219 hash collisions in 59523201 relations
  34. Mon Sep 19 20:53:33 2022 added 122370 free relations
  35. Mon Sep 19 20:53:33 2022 commencing duplicate removal, pass 2
  36. Mon Sep 19 20:55:05 2022 found 11545190 duplicates and 48100381 unique relations
  37. Mon Sep 19 20:55:05 2022 memory use: 330.4 MB
  38. Mon Sep 19 20:55:05 2022 reading ideals above 720000
  39. Mon Sep 19 20:55:05 2022 commencing singleton removal, initial pass
  40. Mon Sep 19 21:00:05 2022 memory use: 1378.0 MB
  41. Mon Sep 19 21:00:05 2022 reading all ideals from disk
  42. Mon Sep 19 21:00:11 2022 memory use: 2084.6 MB
  43. Mon Sep 19 21:00:17 2022 keeping 46070952 ideals with weight <= 200, target excess is 262114
  44. Mon Sep 19 21:00:24 2022 commencing in-memory singleton removal
  45. Mon Sep 19 21:00:27 2022 begin with 48100381 relations and 46070952 unique ideals
  46. Mon Sep 19 21:00:35 2022 reduce to 29009492 relations and 24843430 ideals in 15 passes
  47. Mon Sep 19 21:00:35 2022 max relations containing the same ideal: 149
  48. Mon Sep 19 21:00:48 2022 removing 2554171 relations and 2154171 ideals in 400000 cliques
  49. Mon Sep 19 21:00:49 2022 commencing in-memory singleton removal
  50. Mon Sep 19 21:00:50 2022 begin with 26455321 relations and 24843430 unique ideals
  51. Mon Sep 19 21:00:54 2022 reduce to 26290097 relations and 22521237 ideals in 8 passes
  52. Mon Sep 19 21:00:54 2022 max relations containing the same ideal: 144
  53. Mon Sep 19 21:01:05 2022 removing 1929738 relations and 1529738 ideals in 400000 cliques
  54. Mon Sep 19 21:01:06 2022 commencing in-memory singleton removal
  55. Mon Sep 19 21:01:07 2022 begin with 24360359 relations and 22521237 unique ideals
  56. Mon Sep 19 21:01:11 2022 reduce to 24253468 relations and 20882944 ideals in 9 passes
  57. Mon Sep 19 21:01:11 2022 max relations containing the same ideal: 135
  58. Mon Sep 19 21:01:22 2022 removing 1739909 relations and 1339909 ideals in 400000 cliques
  59. Mon Sep 19 21:01:23 2022 commencing in-memory singleton removal
  60. Mon Sep 19 21:01:24 2022 begin with 22513559 relations and 20882944 unique ideals
  61. Mon Sep 19 21:01:26 2022 reduce to 22418021 relations and 19446105 ideals in 8 passes
  62. Mon Sep 19 21:01:26 2022 max relations containing the same ideal: 124
  63. Mon Sep 19 21:01:36 2022 removing 1639719 relations and 1239719 ideals in 400000 cliques
  64. Mon Sep 19 21:01:37 2022 commencing in-memory singleton removal
  65. Mon Sep 19 21:01:38 2022 begin with 20778302 relations and 19446105 unique ideals
  66. Mon Sep 19 21:01:40 2022 reduce to 20687588 relations and 18114240 ideals in 7 passes
  67. Mon Sep 19 21:01:40 2022 max relations containing the same ideal: 119
  68. Mon Sep 19 21:01:49 2022 removing 1578224 relations and 1178224 ideals in 400000 cliques
  69. Mon Sep 19 21:01:50 2022 commencing in-memory singleton removal
  70. Mon Sep 19 21:01:51 2022 begin with 19109364 relations and 18114240 unique ideals
  71. Mon Sep 19 21:01:53 2022 reduce to 19019327 relations and 16844494 ideals in 8 passes
  72. Mon Sep 19 21:01:53 2022 max relations containing the same ideal: 111
  73. Mon Sep 19 21:02:01 2022 removing 1541717 relations and 1141717 ideals in 400000 cliques
  74. Mon Sep 19 21:02:02 2022 commencing in-memory singleton removal
  75. Mon Sep 19 21:02:03 2022 begin with 17477610 relations and 16844494 unique ideals
  76. Mon Sep 19 21:02:05 2022 reduce to 17386767 relations and 15610273 ideals in 7 passes
  77. Mon Sep 19 21:02:05 2022 max relations containing the same ideal: 107
  78. Mon Sep 19 21:02:13 2022 removing 1515083 relations and 1115083 ideals in 400000 cliques
  79. Mon Sep 19 21:02:14 2022 commencing in-memory singleton removal
  80. Mon Sep 19 21:02:14 2022 begin with 15871684 relations and 15610273 unique ideals
  81. Mon Sep 19 21:02:16 2022 reduce to 15775686 relations and 14397389 ideals in 7 passes
  82. Mon Sep 19 21:02:16 2022 max relations containing the same ideal: 101
  83. Mon Sep 19 21:02:23 2022 removing 1497923 relations and 1097923 ideals in 400000 cliques
  84. Mon Sep 19 21:02:24 2022 commencing in-memory singleton removal
  85. Mon Sep 19 21:02:25 2022 begin with 14277763 relations and 14397389 unique ideals
  86. Mon Sep 19 21:02:26 2022 reduce to 14176019 relations and 13195525 ideals in 8 passes
  87. Mon Sep 19 21:02:26 2022 max relations containing the same ideal: 95
  88. Mon Sep 19 21:02:33 2022 removing 1488867 relations and 1088867 ideals in 400000 cliques
  89. Mon Sep 19 21:02:33 2022 commencing in-memory singleton removal
  90. Mon Sep 19 21:02:34 2022 begin with 12687152 relations and 13195525 unique ideals
  91. Mon Sep 19 21:02:35 2022 reduce to 12575217 relations and 11992070 ideals in 7 passes
  92. Mon Sep 19 21:02:35 2022 max relations containing the same ideal: 85
  93. Mon Sep 19 21:02:41 2022 removing 1113471 relations and 834377 ideals in 279094 cliques
  94. Mon Sep 19 21:02:41 2022 commencing in-memory singleton removal
  95. Mon Sep 19 21:02:42 2022 begin with 11461746 relations and 11992070 unique ideals
  96. Mon Sep 19 21:02:43 2022 reduce to 11393783 relations and 11088427 ideals in 7 passes
  97. Mon Sep 19 21:02:43 2022 max relations containing the same ideal: 77
  98. Mon Sep 19 21:02:50 2022 relations with 0 large ideals: 818
  99. Mon Sep 19 21:02:50 2022 relations with 1 large ideals: 3151
  100. Mon Sep 19 21:02:50 2022 relations with 2 large ideals: 45690
  101. Mon Sep 19 21:02:50 2022 relations with 3 large ideals: 309459
  102. Mon Sep 19 21:02:50 2022 relations with 4 large ideals: 1127251
  103. Mon Sep 19 21:02:50 2022 relations with 5 large ideals: 2402625
  104. Mon Sep 19 21:02:50 2022 relations with 6 large ideals: 3169621
  105. Mon Sep 19 21:02:50 2022 relations with 7+ large ideals: 4335168
  106. Mon Sep 19 21:02:50 2022 commencing 2-way merge
  107. Mon Sep 19 21:02:57 2022 reduce to 7345554 relation sets and 7040198 unique ideals
  108. Mon Sep 19 21:02:57 2022 commencing full merge
  109. Mon Sep 19 21:06:09 2022 memory use: 913.0 MB
  110. Mon Sep 19 21:06:09 2022 found 3198217 cycles, need 3192398
  111. Mon Sep 19 21:06:11 2022 weight of 3192398 cycles is about 415708147 (130.22/cycle)
  112. Mon Sep 19 21:06:11 2022 distribution of cycle lengths:
  113. Mon Sep 19 21:06:11 2022 1 relations: 108144
  114. Mon Sep 19 21:06:11 2022 2 relations: 172637
  115. Mon Sep 19 21:06:11 2022 3 relations: 206574
  116. Mon Sep 19 21:06:11 2022 4 relations: 215919
  117. Mon Sep 19 21:06:11 2022 5 relations: 223927
  118. Mon Sep 19 21:06:11 2022 6 relations: 222848
  119. Mon Sep 19 21:06:11 2022 7 relations: 217861
  120. Mon Sep 19 21:06:11 2022 8 relations: 211959
  121. Mon Sep 19 21:06:11 2022 9 relations: 200347
  122. Mon Sep 19 21:06:11 2022 10+ relations: 1412182
  123. Mon Sep 19 21:06:11 2022 heaviest cycle: 28 relations
  124. Mon Sep 19 21:06:11 2022 commencing cycle optimization
  125. Mon Sep 19 21:06:20 2022 start with 30381649 relations
  126. Mon Sep 19 21:07:49 2022 pruned 1515940 relations
  127. Mon Sep 19 21:07:49 2022 memory use: 782.2 MB
  128. Mon Sep 19 21:07:49 2022 distribution of cycle lengths:
  129. Mon Sep 19 21:07:49 2022 1 relations: 108144
  130. Mon Sep 19 21:07:49 2022 2 relations: 177567
  131. Mon Sep 19 21:07:50 2022 3 relations: 216455
  132. Mon Sep 19 21:07:50 2022 4 relations: 226006
  133. Mon Sep 19 21:07:50 2022 5 relations: 235974
  134. Mon Sep 19 21:07:50 2022 6 relations: 234617
  135. Mon Sep 19 21:07:50 2022 7 relations: 230554
  136. Mon Sep 19 21:07:50 2022 8 relations: 222539
  137. Mon Sep 19 21:07:50 2022 9 relations: 211059
  138. Mon Sep 19 21:07:50 2022 10+ relations: 1329483
  139. Mon Sep 19 21:07:50 2022 heaviest cycle: 28 relations
  140. Mon Sep 19 21:07:56 2022 RelProcTime: 1129
  141. Mon Sep 19 21:07:56 2022
  142. Mon Sep 19 21:07:56 2022 commencing linear algebra
  143. Mon Sep 19 21:07:56 2022 using VBITS=256
  144. Mon Sep 19 21:07:57 2022 read 3192398 cycles
  145. Mon Sep 19 21:08:07 2022 cycles contain 11215345 unique relations
  146. Mon Sep 19 21:09:42 2022 read 11215345 relations
  147. Mon Sep 19 21:09:44 2022 using 20 quadratic characters above 4294917295
  148. Mon Sep 19 21:09:52 2022 building initial matrix
  149. Mon Sep 19 21:13:57 2022 memory use: 1547.4 MB
  150. Mon Sep 19 21:14:00 2022 read 3192398 cycles
  151. Mon Sep 19 21:14:01 2022 matrix is 3192221 x 3192398 (1602.6 MB) with weight 487997932 (152.86/col)
  152. Mon Sep 19 21:14:01 2022 sparse part has weight 381805877 (119.60/col)
  153. Mon Sep 19 21:14:44 2022 filtering completed in 2 passes
  154. Mon Sep 19 21:14:45 2022 matrix is 3192202 x 3192378 (1602.6 MB) with weight 487997027 (152.86/col)
  155. Mon Sep 19 21:14:45 2022 sparse part has weight 381805663 (119.60/col)
  156. Mon Sep 19 21:15:04 2022 matrix starts at (0, 0)
  157. Mon Sep 19 21:15:05 2022 matrix is 3192202 x 3192378 (1602.6 MB) with weight 487997027 (152.86/col)
  158. Mon Sep 19 21:15:05 2022 sparse part has weight 381805663 (119.60/col)
  159. Mon Sep 19 21:15:05 2022 saving the first 240 matrix rows for later
  160. Mon Sep 19 21:15:07 2022 matrix includes 256 packed rows
  161. Mon Sep 19 21:15:08 2022 matrix is 3191962 x 3192378 (1417.4 MB) with weight 344846158 (108.02/col)
  162. Mon Sep 19 21:15:08 2022 sparse part has weight 320494323 (100.39/col)
  163. Mon Sep 19 21:15:08 2022 using block size 8192 and superblock size 878592 for processor cache size 36608 kB
  164. Mon Sep 19 21:15:20 2022 commencing Lanczos iteration (16 threads)
  165. Mon Sep 19 21:15:20 2022 memory use: 1904.2 MB
  166. Mon Sep 19 21:17:58 2022 linear algebra at 1.0%, ETA 4h28m
  167. Mon Sep 19 21:19:47 2022 checking every 10000 dimensions, checkpointing every 1050000 dimensions
  168. Mon Sep 19 23:22:48 2022 lanczos halted after 12508 iterations (dim = 3191960)
  169. Mon Sep 19 23:23:03 2022 recovered 30 nontrivial dependencies
  170. Mon Sep 19 23:23:03 2022 BLanczosTime: 8107
  171. Mon Sep 19 23:23:03 2022
  172. Mon Sep 19 23:23:03 2022 commencing square root phase
  173. Mon Sep 19 23:23:03 2022 handling dependencies 1 to 64
  174. Mon Sep 19 23:23:03 2022 reading relations for dependency 1
  175. Mon Sep 19 23:23:04 2022 read 1595224 cycles
  176. Mon Sep 19 23:23:07 2022 cycles contain 5604488 unique relations
  177. Mon Sep 19 23:23:51 2022 read 5604488 relations
  178. Mon Sep 19 23:24:14 2022 multiplying 5604488 relations
  179. Mon Sep 19 23:26:35 2022 multiply complete, coefficients have about 300.95 million bits
  180. Mon Sep 19 23:26:36 2022 initial square root is modulo 251291
  181. Mon Sep 19 23:28:07 2022 GCD is 1, no factor found
  182. Mon Sep 19 23:28:07 2022 reading relations for dependency 2
  183. Mon Sep 19 23:28:08 2022 read 1597767 cycles
  184. Mon Sep 19 23:28:12 2022 cycles contain 5611716 unique relations
  185. Mon Sep 19 23:29:17 2022 read 5611716 relations
  186. Mon Sep 19 23:29:49 2022 multiplying 5611716 relations
  187. Mon Sep 19 23:34:14 2022 multiply complete, coefficients have about 301.34 million bits
  188. Mon Sep 19 23:34:16 2022 initial square root is modulo 255349
  189. Mon Sep 19 23:37:40 2022 GCD is N, no factor found
  190. Mon Sep 19 23:37:40 2022 reading relations for dependency 3
  191. Mon Sep 19 23:37:41 2022 read 1596658 cycles
  192. Mon Sep 19 23:37:45 2022 cycles contain 5610780 unique relations
  193. Mon Sep 19 23:38:49 2022 read 5610780 relations
  194. Mon Sep 19 23:39:21 2022 multiplying 5610780 relations
  195. Mon Sep 19 23:43:47 2022 multiply complete, coefficients have about 301.29 million bits
  196. Mon Sep 19 23:43:48 2022 initial square root is modulo 254777
  197. Mon Sep 19 23:47:18 2022 sqrtTime: 1455
  198. Mon Sep 19 23:47:18 2022 p67 factor: 3694834544498414348699093879509163309398376252391544286313016499923
  199. Mon Sep 19 23:47:18 2022 p88 factor: 1461612084493030376923321290916594115145367438705720834168037334648631752041607061240541
  200. Mon Sep 19 23:47:18 2022 elapsed time 02:58:12
  201.  
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