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Dec 30th, 2018
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  1. Fri Dec 28 23:29:42 2018 Msieve v. 1.54 (SVN 1025)
  2. Fri Dec 28 23:29:42 2018 random seeds: 0cdec992 6fd109d0
  3. Fri Dec 28 23:29:42 2018 factoring 90462444820577759019497878637476442191588704447370303526596554928417881694639297951630378371006297871309911287617494848611197631992389631212782455562515480356450434999413962049481747393478401 (191 digits)
  4. Fri Dec 28 23:29:42 2018 no P-1/P+1/ECM available, skipping
  5. Fri Dec 28 23:29:42 2018 commencing number field sieve (191-digit input)
  6. Fri Dec 28 23:29:42 2018 R0: 30432527221704537086371993251530170531786747066637049
  7. Fri Dec 28 23:29:42 2018 R1: -30226801971775055948247051683954096612865741943
  8. Fri Dec 28 23:29:42 2018 A0: 1
  9. Fri Dec 28 23:29:42 2018 A1: -1
  10. Fri Dec 28 23:29:42 2018 A2: 1
  11. Fri Dec 28 23:29:42 2018 A3: -1
  12. Fri Dec 28 23:29:42 2018 A4: 1
  13. Fri Dec 28 23:29:42 2018 skew 1.00, size 2.078e-21, alpha 1.694, combined = 8.665e-13 rroots = 0
  14. Fri Dec 28 23:29:42 2018
  15. Fri Dec 28 23:29:42 2018 commencing relation filtering
  16. Fri Dec 28 23:29:42 2018 setting target matrix density to 110.0
  17. Fri Dec 28 23:29:42 2018 estimated available RAM is 7681.4 MB
  18. Fri Dec 28 23:29:42 2018 commencing duplicate removal, pass 1
  19. Fri Dec 28 23:49:38 2018 skipped 150 relations with b > 2^32
  20. Fri Dec 28 23:49:38 2018 skipped 122 relations with composite factors
  21. Fri Dec 28 23:49:38 2018 found 20385296 hash collisions in 118748237 relations
  22. Fri Dec 28 23:49:38 2018 added 1 free relations
  23. Fri Dec 28 23:49:38 2018 commencing duplicate removal, pass 2
  24. Fri Dec 28 23:58:03 2018 found 18778664 duplicates and 99969574 unique relations
  25. Fri Dec 28 23:58:03 2018 memory use: 660.8 MB
  26. Fri Dec 28 23:58:03 2018 reading ideals above 109903872
  27. Fri Dec 28 23:58:03 2018 commencing singleton removal, initial pass
  28. Sat Dec 29 00:12:56 2018 memory use: 1506.0 MB
  29. Sat Dec 29 00:12:56 2018 reading all ideals from disk
  30. Sat Dec 29 00:13:24 2018 memory use: 1564.4 MB
  31. Sat Dec 29 00:13:28 2018 commencing in-memory singleton removal
  32. Sat Dec 29 00:13:31 2018 begin with 99969574 relations and 76337427 unique ideals
  33. Sat Dec 29 00:14:15 2018 reduce to 66412190 relations and 39363725 ideals in 14 passes
  34. Sat Dec 29 00:14:15 2018 max relations containing the same ideal: 37
  35. Sat Dec 29 00:14:18 2018 reading ideals above 720000
  36. Sat Dec 29 00:14:18 2018 commencing singleton removal, initial pass
  37. Sat Dec 29 00:28:15 2018 memory use: 1378.0 MB
  38. Sat Dec 29 00:28:15 2018 reading all ideals from disk
  39. Sat Dec 29 00:29:06 2018 memory use: 2470.4 MB
  40. Sat Dec 29 00:29:13 2018 keeping 51615269 ideals with weight <= 200, target excess is 343545
  41. Sat Dec 29 00:29:19 2018 commencing in-memory singleton removal
  42. Sat Dec 29 00:29:25 2018 begin with 66412190 relations and 51615269 unique ideals
  43. Sat Dec 29 00:30:09 2018 reduce to 66381160 relations and 51583828 ideals in 7 passes
  44. Sat Dec 29 00:30:09 2018 max relations containing the same ideal: 200
  45. Sat Dec 29 00:30:39 2018 removing 8305673 relations and 6305673 ideals in 2000000 cliques
  46. Sat Dec 29 00:30:42 2018 commencing in-memory singleton removal
  47. Sat Dec 29 00:30:47 2018 begin with 58075487 relations and 51583828 unique ideals
  48. Sat Dec 29 00:31:30 2018 reduce to 57206154 relations and 44375393 ideals in 8 passes
  49. Sat Dec 29 00:31:30 2018 max relations containing the same ideal: 195
  50. Sat Dec 29 00:31:56 2018 removing 6634415 relations and 4634415 ideals in 2000000 cliques
  51. Sat Dec 29 00:31:58 2018 commencing in-memory singleton removal
  52. Sat Dec 29 00:32:03 2018 begin with 50571739 relations and 44375393 unique ideals
  53. Sat Dec 29 00:32:35 2018 reduce to 49973021 relations and 39121324 ideals in 7 passes
  54. Sat Dec 29 00:32:35 2018 max relations containing the same ideal: 178
  55. Sat Dec 29 00:32:58 2018 removing 6153498 relations and 4153498 ideals in 2000000 cliques
  56. Sat Dec 29 00:33:00 2018 commencing in-memory singleton removal
  57. Sat Dec 29 00:33:04 2018 begin with 43819523 relations and 39121324 unique ideals
  58. Sat Dec 29 00:33:34 2018 reduce to 43283737 relations and 34411391 ideals in 7 passes
  59. Sat Dec 29 00:33:34 2018 max relations containing the same ideal: 163
  60. Sat Dec 29 00:33:53 2018 removing 5902880 relations and 3902880 ideals in 2000000 cliques
  61. Sat Dec 29 00:33:55 2018 commencing in-memory singleton removal
  62. Sat Dec 29 00:33:58 2018 begin with 37380857 relations and 34411391 unique ideals
  63. Sat Dec 29 00:34:25 2018 reduce to 36858241 relations and 29963532 ideals in 8 passes
  64. Sat Dec 29 00:34:25 2018 max relations containing the same ideal: 149
  65. Sat Dec 29 00:34:41 2018 removing 5727403 relations and 3727403 ideals in 2000000 cliques
  66. Sat Dec 29 00:34:43 2018 commencing in-memory singleton removal
  67. Sat Dec 29 00:34:46 2018 begin with 31130838 relations and 29963532 unique ideals
  68. Sat Dec 29 00:35:05 2018 reduce to 30594733 relations and 25674335 ideals in 7 passes
  69. Sat Dec 29 00:35:05 2018 max relations containing the same ideal: 133
  70. Sat Dec 29 00:35:19 2018 removing 5592028 relations and 3592028 ideals in 2000000 cliques
  71. Sat Dec 29 00:35:21 2018 commencing in-memory singleton removal
  72. Sat Dec 29 00:35:22 2018 begin with 25002705 relations and 25674335 unique ideals
  73. Sat Dec 29 00:35:37 2018 reduce to 24423773 relations and 21470628 ideals in 7 passes
  74. Sat Dec 29 00:35:37 2018 max relations containing the same ideal: 114
  75. Sat Dec 29 00:35:48 2018 removing 5468628 relations and 3468628 ideals in 2000000 cliques
  76. Sat Dec 29 00:35:50 2018 commencing in-memory singleton removal
  77. Sat Dec 29 00:35:51 2018 begin with 18955145 relations and 21470628 unique ideals
  78. Sat Dec 29 00:36:02 2018 reduce to 18269313 relations and 17267823 ideals in 7 passes
  79. Sat Dec 29 00:36:02 2018 max relations containing the same ideal: 97
  80. Sat Dec 29 00:36:10 2018 removing 2037352 relations and 1434375 ideals in 602977 cliques
  81. Sat Dec 29 00:36:11 2018 commencing in-memory singleton removal
  82. Sat Dec 29 00:36:13 2018 begin with 16231961 relations and 17267823 unique ideals
  83. Sat Dec 29 00:36:22 2018 reduce to 16057658 relations and 15653629 ideals in 7 passes
  84. Sat Dec 29 00:36:22 2018 max relations containing the same ideal: 87
  85. Sat Dec 29 00:36:32 2018 relations with 0 large ideals: 26704
  86. Sat Dec 29 00:36:32 2018 relations with 1 large ideals: 3805
  87. Sat Dec 29 00:36:32 2018 relations with 2 large ideals: 45250
  88. Sat Dec 29 00:36:32 2018 relations with 3 large ideals: 327170
  89. Sat Dec 29 00:36:32 2018 relations with 4 large ideals: 1298834
  90. Sat Dec 29 00:36:32 2018 relations with 5 large ideals: 3581247
  91. Sat Dec 29 00:36:32 2018 relations with 6 large ideals: 4155842
  92. Sat Dec 29 00:36:32 2018 relations with 7+ large ideals: 6618806
  93. Sat Dec 29 00:36:32 2018 commencing 2-way merge
  94. Sat Dec 29 00:36:41 2018 reduce to 11133311 relation sets and 10729282 unique ideals
  95. Sat Dec 29 00:36:41 2018 commencing full merge
  96. Sat Dec 29 00:40:47 2018 memory use: 1391.6 MB
  97. Sat Dec 29 00:40:48 2018 found 5070470 cycles, need 5049482
  98. Sat Dec 29 00:40:50 2018 weight of 5049482 cycles is about 555757717 (110.06/cycle)
  99. Sat Dec 29 00:40:50 2018 distribution of cycle lengths:
  100. Sat Dec 29 00:40:50 2018 1 relations: 152536
  101. Sat Dec 29 00:40:50 2018 2 relations: 250352
  102. Sat Dec 29 00:40:50 2018 3 relations: 331596
  103. Sat Dec 29 00:40:50 2018 4 relations: 366845
  104. Sat Dec 29 00:40:50 2018 5 relations: 389648
  105. Sat Dec 29 00:40:50 2018 6 relations: 393203
  106. Sat Dec 29 00:40:50 2018 7 relations: 388110
  107. Sat Dec 29 00:40:50 2018 8 relations: 372597
  108. Sat Dec 29 00:40:50 2018 9 relations: 347817
  109. Sat Dec 29 00:40:50 2018 10+ relations: 2056778
  110. Sat Dec 29 00:40:50 2018 heaviest cycle: 28 relations
  111. Sat Dec 29 00:40:51 2018 commencing cycle optimization
  112. Sat Dec 29 00:41:02 2018 start with 45611470 relations
  113. Sat Dec 29 00:42:50 2018 pruned 2400992 relations
  114. Sat Dec 29 00:42:50 2018 memory use: 1141.1 MB
  115. Sat Dec 29 00:42:50 2018 distribution of cycle lengths:
  116. Sat Dec 29 00:42:50 2018 1 relations: 152536
  117. Sat Dec 29 00:42:50 2018 2 relations: 256985
  118. Sat Dec 29 00:42:50 2018 3 relations: 347196
  119. Sat Dec 29 00:42:50 2018 4 relations: 385093
  120. Sat Dec 29 00:42:50 2018 5 relations: 413650
  121. Sat Dec 29 00:42:50 2018 6 relations: 416341
  122. Sat Dec 29 00:42:50 2018 7 relations: 414131
  123. Sat Dec 29 00:42:50 2018 8 relations: 393983
  124. Sat Dec 29 00:42:50 2018 9 relations: 367643
  125. Sat Dec 29 00:42:50 2018 10+ relations: 1901924
  126. Sat Dec 29 00:42:50 2018 heaviest cycle: 28 relations
  127. Sat Dec 29 00:43:00 2018 RelProcTime: 4398
  128. Sat Dec 29 00:43:00 2018
  129. Sat Dec 29 00:43:00 2018 commencing linear algebra
  130. Sat Dec 29 00:43:01 2018 read 5049482 cycles
  131. Sat Dec 29 00:43:13 2018 cycles contain 15836947 unique relations
  132. Sat Dec 29 00:51:34 2018 read 15836947 relations
  133. Sat Dec 29 00:52:00 2018 using 20 quadratic characters above 4294917295
  134. Sat Dec 29 00:53:19 2018 building initial matrix
  135. Sat Dec 29 00:56:19 2018 memory use: 1953.6 MB
  136. Sat Dec 29 00:56:28 2018 read 5049482 cycles
  137. Sat Dec 29 00:56:29 2018 matrix is 5049305 x 5049482 (2191.9 MB) with weight 630199536 (124.80/col)
  138. Sat Dec 29 00:56:29 2018 sparse part has weight 519057675 (102.79/col)
  139. Sat Dec 29 00:57:24 2018 filtering completed in 2 passes
  140. Sat Dec 29 00:57:25 2018 matrix is 5049224 x 5049401 (2191.9 MB) with weight 630197124 (124.81/col)
  141. Sat Dec 29 00:57:25 2018 sparse part has weight 519057123 (102.80/col)
  142. Sat Dec 29 00:57:43 2018 matrix starts at (0, 0)
  143. Sat Dec 29 00:57:43 2018 matrix is 5049224 x 5049401 (2191.9 MB) with weight 630197124 (124.81/col)
  144. Sat Dec 29 00:57:43 2018 sparse part has weight 519057123 (102.80/col)
  145. Sat Dec 29 00:57:43 2018 saving the first 48 matrix rows for later
  146. Sat Dec 29 00:57:44 2018 matrix includes 64 packed rows
  147. Sat Dec 29 00:57:45 2018 matrix is 5049176 x 5049401 (2096.5 MB) with weight 537014640 (106.35/col)
  148. Sat Dec 29 00:57:45 2018 sparse part has weight 499091428 (98.84/col)
  149. Sat Dec 29 00:57:45 2018 using block size 8192 and superblock size 3244032 for processor cache size 33792 kB
  150. Sat Dec 29 00:58:00 2018 commencing Lanczos iteration (2 threads)
  151. Sat Dec 29 00:58:00 2018 memory use: 1998.9 MB
  152. Sat Dec 29 00:58:47 2018 linear algebra at 0.0%, ETA 41h35m
  153. Sat Dec 29 00:59:03 2018 checkpointing every 120000 dimensions
  154. Sun Dec 30 19:55:42 2018 lanczos halted after 79844 iterations (dim = 5049176)
  155. Sun Dec 30 19:55:48 2018 recovered 37 nontrivial dependencies
  156. Sun Dec 30 19:55:48 2018 BLanczosTime: 155568
  157. Sun Dec 30 19:55:48 2018
  158. Sun Dec 30 19:55:48 2018 commencing square root phase
  159. Sun Dec 30 19:55:48 2018 handling dependencies 1 to 64
  160. Sun Dec 30 19:55:48 2018 reading relations for dependency 1
  161. Sun Dec 30 19:55:53 2018 read 2524059 cycles
  162. Sun Dec 30 19:55:59 2018 cycles contain 7917620 unique relations
  163. Sun Dec 30 20:04:16 2018 read 7917620 relations
  164. Sun Dec 30 20:04:52 2018 multiplying 7917620 relations
  165. Sun Dec 30 20:06:50 2018 multiply complete, coefficients have about 199.22 million bits
  166. Sun Dec 30 20:06:50 2018 initial square root is modulo 14110823
  167. Sun Dec 30 20:09:33 2018 GCD is N, no factor found
  168. Sun Dec 30 20:09:33 2018 reading relations for dependency 2
  169. Sun Dec 30 20:09:37 2018 read 2523317 cycles
  170. Sun Dec 30 20:09:43 2018 cycles contain 7916864 unique relations
  171. Sun Dec 30 20:18:11 2018 read 7916864 relations
  172. Sun Dec 30 20:18:46 2018 multiplying 7916864 relations
  173. Sun Dec 30 20:20:44 2018 multiply complete, coefficients have about 199.20 million bits
  174. Sun Dec 30 20:20:45 2018 initial square root is modulo 14087897
  175. Sun Dec 30 20:23:21 2018 GCD is 1, no factor found
  176. Sun Dec 30 20:23:21 2018 reading relations for dependency 3
  177. Sun Dec 30 20:23:24 2018 read 2523429 cycles
  178. Sun Dec 30 20:23:30 2018 cycles contain 7917354 unique relations
  179. Sun Dec 30 20:31:42 2018 read 7917354 relations
  180. Sun Dec 30 20:32:18 2018 multiplying 7917354 relations
  181. Sun Dec 30 20:34:18 2018 multiply complete, coefficients have about 199.21 million bits
  182. Sun Dec 30 20:34:18 2018 initial square root is modulo 14098267
  183. Sun Dec 30 20:36:54 2018 sqrtTime: 2466
  184. Sun Dec 30 20:36:54 2018 p86 factor: 76404033871031304231776423643061367118866757454718524612240678929280904439176139276851
  185. Sun Dec 30 20:36:54 2018 p106 factor: 1184000899393307044529303063323669246334772375268429015316905236541828183156140156425035958145878953709051
  186. Sun Dec 30 20:36:54 2018 elapsed time 45:07:12
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