Serge_Batalov

L2250.msieve.log

Jun 1st, 2021
231
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  1. Found 279707266 unique, 65767411 duplicate, and 2183 bad relations.
  2. Largest dimension used: 990 of 1666
  3. Average dimension used: 853.6 of 1666
  4.  
  5. Fri May 23 13:12:00 2021 Msieve v. 1.53 (SVN unknown)
  6. Fri May 23 13:12:00 2021 random seeds: 7e3e17eb d02b4c37
  7. Fri May 23 13:12:00 2021 factoring 28541638815746399006491577940622842460328362432347800366622901615604255537938989686642185133526976070230474402547688267790731900011011686463032894528397465882744882821657879497827990280883762180999547054594980875936539737001 (224 digits)
  8. Fri May 23 13:12:01 2021 no P-1/P+1/ECM available, skipping
  9. Fri May 23 13:12:01 2021 commencing number field sieve (224-digit input)
  10. Fri May 23 13:12:01 2021 R0: 99385281156749335278758287376493646179613497904406939904040001
  11. Fri May 23 13:12:01 2021 R1: -298155843470248005836274862129480938538840493713220819712120002
  12. Fri May 23 13:12:01 2021 A0: 31
  13. Fri May 23 13:12:01 2021 A1: -67
  14. Fri May 23 13:12:01 2021 A2: -46
  15. Fri May 23 13:12:01 2021 A3: 112
  16. Fri May 23 13:12:01 2021 A4: 1
  17. Fri May 23 13:12:01 2021 skew 2.36, size 9.500e-26, alpha 1.585, combined = 2.289e-15 rroots = 4
  18. Fri May 23 13:12:01 2021
  19. Fri May 23 13:12:01 2021 commencing relation filtering
  20. Fri May 23 13:12:01 2021 setting target matrix density to 80.0
  21. Fri May 23 13:12:01 2021 estimated available RAM is 515704.5 MB
  22. Fri May 23 13:12:01 2021 commencing duplicate removal, pass 1
  23. Fri May 23 13:56:15 2021 skipped 55725 relations with b > 2^32
  24. Fri May 23 13:56:15 2021 skipped 24 relations with composite factors
  25. Fri May 23 13:56:15 2021 found 22635041 hash collisions in 294601889 relations
  26. Fri May 23 13:56:15 2021 commencing duplicate removal, pass 2
  27. Fri May 23 14:00:57 2021 found 7034155 duplicates and 287567734 unique relations
  28. Fri May 23 14:00:57 2021 memory use: 788.8 MB
  29. Fri May 23 14:00:57 2021 reading ideals above 720000
  30. Fri May 23 14:00:57 2021 commencing singleton removal, initial pass
  31. Fri May 23 14:42:17 2021 memory use: 6024.0 MB
  32. Fri May 23 14:42:17 2021 reading all ideals from disk
  33. Fri May 23 14:42:22 2021 memory use: 12689.4 MB
  34. Fri May 23 14:42:52 2021 keeping 304824491 ideals with weight <= 200, target excess is 1613055
  35. Fri May 23 14:43:28 2021 commencing in-memory singleton removal
  36. Fri May 23 14:43:49 2021 begin with 287567734 relations and 304824491 unique ideals
  37. Fri May 23 14:48:07 2021 reduce to 132766348 relations and 126460722 ideals in 22 passes
  38. Fri May 23 14:48:07 2021 max relations containing the same ideal: 126
  39. Fri May 23 14:49:04 2021 removing 9925244 relations and 8925244 ideals in 1000000 cliques
  40. Fri May 23 14:49:07 2021 commencing in-memory singleton removal
  41. Fri May 23 14:49:15 2021 begin with 122841104 relations and 126460722 unique ideals
  42. Fri May 23 14:50:51 2021 reduce to 122286200 relations and 116974662 ideals in 10 passes
  43. Fri May 23 14:50:51 2021 max relations containing the same ideal: 121
  44. Fri May 23 14:51:43 2021 removing 7242983 relations and 6242983 ideals in 1000000 cliques
  45. Fri May 23 14:51:46 2021 commencing in-memory singleton removal
  46. Fri May 23 14:51:54 2021 begin with 115043217 relations and 116974662 unique ideals
  47. Fri May 23 14:53:16 2021 reduce to 114715965 relations and 110401654 ideals in 9 passes
  48. Fri May 23 14:53:16 2021 max relations containing the same ideal: 118
  49. Fri May 23 14:54:06 2021 removing 6385317 relations and 5385317 ideals in 1000000 cliques
  50. Fri May 23 14:54:09 2021 commencing in-memory singleton removal
  51. Fri May 23 14:54:16 2021 begin with 108330648 relations and 110401654 unique ideals
  52. Fri May 23 14:55:34 2021 reduce to 108059593 relations and 104742949 ideals in 9 passes
  53. Fri May 23 14:55:34 2021 max relations containing the same ideal: 114
  54. Fri May 23 14:56:22 2021 removing 5903434 relations and 4903434 ideals in 1000000 cliques
  55. Fri May 23 14:56:24 2021 commencing in-memory singleton removal
  56. Fri May 23 14:56:31 2021 begin with 102156159 relations and 104742949 unique ideals
  57. Fri May 23 14:57:37 2021 reduce to 101913155 relations and 99594335 ideals in 8 passes
  58. Fri May 23 14:57:37 2021 max relations containing the same ideal: 110
  59. Fri May 23 14:58:20 2021 removing 2844663 relations and 2396987 ideals in 447676 cliques
  60. Fri May 23 14:58:21 2021 commencing in-memory singleton removal
  61. Fri May 23 14:58:28 2021 begin with 99068492 relations and 99594335 unique ideals
  62. Fri May 23 14:59:28 2021 reduce to 99012467 relations and 97141055 ideals in 8 passes
  63. Fri May 23 14:59:28 2021 max relations containing the same ideal: 108
  64. Fri May 23 15:00:24 2021 relations with 0 large ideals: 116399
  65. Fri May 23 15:00:24 2021 relations with 1 large ideals: 16083
  66. Fri May 23 15:00:24 2021 relations with 2 large ideals: 178528
  67. Fri May 23 15:00:24 2021 relations with 3 large ideals: 1323882
  68. Fri May 23 15:00:24 2021 relations with 4 large ideals: 5694870
  69. Fri May 23 15:00:24 2021 relations with 5 large ideals: 17394924
  70. Fri May 23 15:00:24 2021 relations with 6 large ideals: 23271427
  71. Fri May 23 15:00:24 2021 relations with 7+ large ideals: 51016354
  72. Fri May 23 15:00:24 2021 commencing 2-way merge
  73. Fri May 23 15:01:20 2021 reduce to 62465935 relation sets and 60594523 unique ideals
  74. Fri May 23 15:01:20 2021 commencing full merge
  75. Fri May 23 15:20:26 2021 memory use: 7808.1 MB
  76. Fri May 23 15:20:34 2021 found 32671052 cycles, need 32426723
  77. Fri May 23 15:20:45 2021 weight of 32426723 cycles is about 2594183776 (80.00/cycle)
  78. Fri May 23 15:20:45 2021 distribution of cycle lengths:
  79. Fri May 23 15:20:45 2021 1 relations: 4113408
  80. Fri May 23 15:20:45 2021 2 relations: 3915133
  81. Fri May 23 15:20:45 2021 3 relations: 3616801
  82. Fri May 23 15:20:45 2021 4 relations: 3247836
  83. Fri May 23 15:20:45 2021 5 relations: 2889161
  84. Fri May 23 15:20:45 2021 6 relations: 2498166
  85. Fri May 23 15:20:45 2021 7 relations: 2157569
  86. Fri May 23 15:20:45 2021 8 relations: 1858815
  87. Fri May 23 15:20:45 2021 9 relations: 1588536
  88. Fri May 23 15:20:45 2021 10+ relations: 6541298
  89. Fri May 23 15:20:45 2021 heaviest cycle: 27 relations
  90. Fri May 23 15:20:55 2021 commencing cycle optimization
  91. Fri May 23 15:21:44 2021 start with 194294862 relations
  92. Fri May 23 15:27:36 2021 pruned 5268683 relations
  93. Fri May 23 15:27:37 2021 memory use: 6056.5 MB
  94. Fri May 23 15:27:37 2021 distribution of cycle lengths:
  95. Fri May 23 15:27:37 2021 1 relations: 4113408
  96. Fri May 23 15:27:37 2021 2 relations: 3984945
  97. Fri May 23 15:27:37 2021 3 relations: 3746556
  98. Fri May 23 15:27:37 2021 4 relations: 3337501
  99. Fri May 23 15:27:37 2021 5 relations: 2971153
  100. Fri May 23 15:27:37 2021 6 relations: 2541430
  101. Fri May 23 15:27:37 2021 7 relations: 2185639
  102. Fri May 23 15:27:37 2021 8 relations: 1864023
  103. Fri May 23 15:27:37 2021 9 relations: 1583274
  104. Fri May 23 15:27:37 2021 10+ relations: 6098794
  105. Fri May 23 15:27:37 2021 heaviest cycle: 26 relations
  106. Fri May 23 15:29:01 2021 RelProcTime: 8220
  107. Fri May 23 15:29:01 2021 elapsed time 02:17:01
  108. ...
  109. linear algebra completed 3104094 of 32414799 dimensions (9.6%, ETA 199h 9m)
  110. ...
  111. Msieve v. 1.53 (SVN unknown)
  112. Mon May 24 11:56:17 2021
  113. random seeds: fb17c8b8 89cba075
  114. factoring 28541638815746399006491577940622842460328362432347800366622901615604255537938989686642185133526976070230474402547688267790731900011011686463032894528397465882744882821657879497827990280883762180999547054594980875936539737001 (224 digits)
  115. no P-1/P+1/ECM available, skipping
  116. commencing number field sieve (224-digit input)
  117. R0: 99385281156749335278758287376493646179613497904406939904040001
  118. R1: -298155843470248005836274862129480938538840493713220819712120002
  119. A0: 31
  120. A1: -67
  121. A2: -46
  122. A3: 112
  123. A4: 1
  124. skew 2.36, size 9.500e-26, alpha 1.585, combined = 2.289e-15 rroots = 4
  125.  
  126. commencing linear algebra
  127. matrix starts at (0, 0)
  128. matrix is 32414621 x 32414799 (10944.0 MB) with weight 3132096317 (96.63/col)
  129. sparse part has weight 2512347274 (77.51/col)
  130. saving the first 48 matrix rows for later
  131. matrix includes 64 packed rows
  132. matrix is 32414573 x 32414799 (10505.5 MB) with weight 2589077681 (79.87/col)
  133. sparse part has weight 2429818110 (74.96/col)
  134. using block size 8192 and superblock size 4423680 for processor cache size 46080 kB
  135. commencing Lanczos iteration (32 threads)
  136. memory use: 9107.4 MB
  137. restarting at iteration 49096 (dim = 3104348)
  138. linear algebra at 9.6%, ETA 203h56m
  139. checkpointing every 150000 dimensions
  140.  
  141. Tue Jun 1 11:28:47 2021
  142. Tue Jun 1 11:28:47 2021 Msieve v. 1.53 (SVN unknown)
  143. Tue Jun 1 11:28:47 2021 random seeds: 77afffd9 8f808271
  144. Tue Jun 1 11:28:47 2021 factoring 28541638815746399006491577940622842460328362432347800366622901615604255537938989686642185133526976070230474402547688267790731900011011686463032894528397465882744882821657879497827990280883762180999547054594980875936539737001 (224 digits)
  145. Tue Jun 1 11:28:49 2021 no P-1/P+1/ECM available, skipping
  146. Tue Jun 1 11:28:49 2021 commencing number field sieve (224-digit input)
  147. Tue Jun 1 11:28:49 2021 R0: 99385281156749335278758287376493646179613497904406939904040001
  148. Tue Jun 1 11:28:49 2021 R1: -298155843470248005836274862129480938538840493713220819712120002
  149. Tue Jun 1 11:28:49 2021 A0: 31
  150. Tue Jun 1 11:28:49 2021 A1: -67
  151. Tue Jun 1 11:28:49 2021 A2: -46
  152. Tue Jun 1 11:28:49 2021 A3: 112
  153. Tue Jun 1 11:28:49 2021 A4: 1
  154. Tue Jun 1 11:28:49 2021 skew 2.36, size 9.500e-26, alpha 1.585, combined = 2.289e-15 rroots = 4
  155. Tue Jun 1 11:28:49 2021
  156. Tue Jun 1 11:28:49 2021 commencing square root phase
  157. Tue Jun 1 11:28:49 2021 handling dependencies 15 to 19
  158. Tue Jun 1 11:28:49 2021 reading relations for dependency 15
  159. Tue Jun 1 11:28:53 2021 read 16202663 cycles
  160. Tue Jun 1 11:29:28 2021 cycles contain 48839276 unique relations
  161. Tue Jun 1 11:39:01 2021 read 48839276 relations
  162. Tue Jun 1 11:44:10 2021 multiplying 48839276 relations
  163. Tue Jun 1 12:16:12 2021 multiply complete, coefficients have about 1632.90 million bits
  164. Tue Jun 1 12:16:17 2021 initial square root is modulo 21121663
  165. Tue Jun 1 12:55:48 2021 sqrtTime: 5219
  166. Tue Jun 1 12:55:48 2021 p103 factor: 2324904118946359637977876703003466163836041817679139700192736761702568647711189175096705585942075335001
  167. Tue Jun 1 12:55:48 2021 p122 factor: 12276479955948202195811060788005244764907980004182729260311302853710546186776343961062338216273379685143062894719794402001
  168. Tue Jun 1 12:55:48 2021 elapsed time 01:27:01
  169.  
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