|\^/|     Maple 2024 (X86 64 LINUX)
._|\|   |/|_. Copyright (c) Maplesoft, a division of Waterloo Maple Inc. 2024
 \  MAPLE  /  All rights reserved. Maple is a trademark of
 <____ ____>  Waterloo Maple Inc.
      |       Type ? for help.
> kernelopts(numcpus=1);
                                       96

> with(LinearAlgebra):
> for n from 6 to 14 do
>   Cn := Matrix(n,n);
>   for i to n do 
>     for j to n do 
>       Cn[i,j] := x[(i+j-2) mod n + 1 ];
>     od;
>   od;
>   Dn := CodeTools[Usage](Determinant(Cn,method=minor)):
>   printf("n=%d  #Dn=%d\n",n,nops(Dn));
>   Fn := CodeTools[Usage](factors(Dn)):
>   printf("n=%d #f=%a\n\n",n,map(proc(f) nops(f[1]) end,Fn[2]));
> od:
memory used=200.31KiB, alloc change=0 bytes, cpu time=1000.00us, real time=8.00ms, gc time=0ns
n=6  #Dn=68
memory used=8.2MB, alloc=73.3MB, time=0.08
memory used=7.75MiB, alloc change=65.00MiB, cpu time=65.00ms, real time=245.00ms, gc time=8.46ms
n=6 #f=[6, 6, 21, 21]

memory used=0.52MiB, alloc change=0 bytes, cpu time=3.00ms, real time=3.00ms, gc time=0ns
n=7  #Dn=246
memory used=3.68MiB, alloc change=0 bytes, cpu time=20.00ms, real time=21.00ms, gc time=0ns
n=7 #f=[7, 924]

memory used=1.77MiB, alloc change=0 bytes, cpu time=8.00ms, real time=9.00ms, gc time=0ns
n=8  #Dn=810
memory used=23.84MiB, alloc change=6.01MiB, cpu time=86.00ms, real time=89.00ms, gc time=0ns
n=8 #f=[8, 86, 20, 8]

memory used=7.11MiB, alloc change=1.40MiB, cpu time=33.00ms, real time=32.00ms, gc time=0ns
n=9  #Dn=2704
memory used=53.2MB, alloc=111.3MB, time=0.29
memory used=39.43MiB, alloc change=30.56MiB, cpu time=193.00ms, real time=193.00ms, gc time=16.34ms
n=9 #f=[9, 1005, 45]

memory used=117.8MB, alloc=135.8MB, time=0.59
memory used=118.7MB, alloc=391.8MB, time=0.61
memory used=32.92MiB, alloc change=280.52MiB, cpu time=177.00ms, real time=177.00ms, gc time=29.48ms
n=10  #Dn=7492
memory used=189.0MB, alloc=399.8MB, time=0.90
memory used=248.6MB, alloc=395.8MB, time=1.18
memory used=308.6MB, alloc=395.8MB, time=1.45
memory used=368.5MB, alloc=395.8MB, time=1.72
memory used=428.5MB, alloc=395.8MB, time=1.99
memory used=323.78MiB, alloc change=4.00MiB, cpu time=1.49s, real time=1.49s, gc time=115.84ms
n=10 #f=[10, 715, 715, 10]

memory used=485.3MB, alloc=397.0MB, time=2.31
memory used=518.1MB, alloc=398.2MB, time=2.46
memory used=543.2MB, alloc=399.4MB, time=2.58
memory used=562.3MB, alloc=400.6MB, time=2.68
memory used=576.8MB, alloc=401.9MB, time=2.75
memory used=587.7MB, alloc=403.1MB, time=2.81
memory used=595.8MB, alloc=404.3MB, time=2.86
memory used=601.9MB, alloc=405.5MB, time=2.90
memory used=606.5MB, alloc=406.7MB, time=2.94
memory used=609.8MB, alloc=407.9MB, time=2.97
memory used=612.2MB, alloc=409.1MB, time=2.99
memory used=617.9MB, alloc=411.9MB, time=3.03
memory used=175.35MiB, alloc change=16.10MiB, cpu time=934.00ms, real time=940.00ms, gc time=171.50ms
n=11  #Dn=32066
memory used=713.0MB, alloc=400.0MB, time=3.55
memory used=714.4MB, alloc=401.5MB, time=3.57
memory used=715.8MB, alloc=401.5MB, time=3.58
memory used=724.2MB, alloc=402.9MB, time=3.66
memory used=727.0MB, alloc=405.7MB, time=3.69
memory used=732.3MB, alloc=404.3MB, time=3.73
memory used=735.1MB, alloc=407.1MB, time=3.78
memory used=737.9MB, alloc=407.1MB, time=3.79
memory used=120.05MiB, alloc change=-4.82MiB, cpu time=780.00ms, real time=781.00ms, gc time=108.71ms
n=11 #f=[11, 184756]

memory used=789.5MB, alloc=406.1MB, time=4.05
memory used=830.7MB, alloc=407.9MB, time=4.25
memory used=863.4MB, alloc=409.7MB, time=4.40
memory used=888.7MB, alloc=411.5MB, time=4.52
memory used=908.4MB, alloc=413.3MB, time=4.62
memory used=923.3MB, alloc=415.1MB, time=4.70
memory used=934.7MB, alloc=416.9MB, time=4.77
memory used=943.2MB, alloc=418.7MB, time=4.82
memory used=949.6MB, alloc=420.5MB, time=4.86
memory used=1180.3MB, alloc=452.2MB, time=5.89
memory used=1314.8MB, alloc=472.5MB, time=6.47
memory used=1392.5MB, alloc=489.3MB, time=6.83
memory used=1396.6MB, alloc=745.3MB, time=6.87
memory used=1400.2MB, alloc=747.1MB, time=6.91
memory used=0.91GiB, alloc change=429.25MiB, cpu time=4.22s, real time=4.22s, gc time=240.32ms
n=12  #Dn=86500
memory used=1762.9MB, alloc=677.3MB, time=8.42
memory used=1877.6MB, alloc=678.6MB, time=9.12
memory used=1949.8MB, alloc=681.0MB, time=9.49
memory used=2013.1MB, alloc=681.0MB, time=9.79
memory used=2080.0MB, alloc=681.0MB, time=10.15
memory used=2153.2MB, alloc=681.0MB, time=10.58
memory used=0.51GiB, alloc change=-128.71MiB, cpu time=3.18s, real time=3.19s, gc time=185.79ms
n=12 #f=[78, 78, 12, 621, 42, 12]

memory used=2820.1MB, alloc=755.3MB, time=14.05
memory used=3221.7MB, alloc=847.1MB, time=15.85
memory used=3437.4MB, alloc=929.8MB, time=16.83
memory used=3697.6MB, alloc=988.5MB, time=18.03
memory used=3793.9MB, alloc=1266.4MB, time=18.49
memory used=3923.5MB, alloc=1286.5MB, time=19.10
memory used=4313.5MB, alloc=1384.4MB, time=20.87
memory used=4645.4MB, alloc=1498.4MB, time=22.38
memory used=4827.0MB, alloc=1531.7MB, time=23.22
memory used=4910.8MB, alloc=1556.8MB, time=23.64
memory used=4914.5MB, alloc=1812.8MB, time=23.69
memory used=5427.1MB, alloc=1980.6MB, time=26.08
memory used=5749.5MB, alloc=2064.2MB, time=27.54
memory used=6033.1MB, alloc=2173.0MB, time=28.86
memory used=6207.7MB, alloc=2225.6MB, time=29.69
memory used=6322.0MB, alloc=2270.3MB, time=30.25
memory used=6373.0MB, alloc=2294.5MB, time=30.53
memory used=6449.6MB, alloc=2328.8MB, time=30.94
memory used=6451.3MB, alloc=2584.8MB, time=31.00
memory used=7060.6MB, alloc=2831.5MB, time=33.84
memory used=5.40GiB, alloc change=2.54GiB, cpu time=25.59s, real time=25.61s, gc time=882.83ms
n=13  #Dn=400024
memory used=7801.4MB, alloc=1601.4MB, time=37.86
memory used=8031.8MB, alloc=1640.2MB, time=38.65
memory used=8183.7MB, alloc=1640.2MB, time=39.42
memory used=8371.3MB, alloc=1655.8MB, time=40.88
memory used=8597.7MB, alloc=1652.4MB, time=42.31
memory used=8814.3MB, alloc=1649.3MB, time=43.69
memory used=1.54GiB, alloc change=-1.22GiB, cpu time=10.83s, real time=10.84s, gc time=1.18s
n=13 #f=[13, 2704156]

memory used=10621.0MB, alloc=2174.5MB, time=53.98
memory used=13025.3MB, alloc=3158.2MB, time=65.35
memory used=15699.9MB, alloc=4405.0MB, time=78.14
memory used=18326.7MB, alloc=5576.3MB, time=90.68
memory used=19806.0MB, alloc=6208.0MB, time=97.74
memory used=21343.1MB, alloc=6929.3MB, time=105.09
memory used=23561.3MB, alloc=7962.0MB, time=115.74
memory used=24653.6MB, alloc=8452.8MB, time=121.00
memory used=25765.6MB, alloc=8974.7MB, time=126.37
memory used=27681.1MB, alloc=9911.9MB, time=135.61
memory used=28519.3MB, alloc=10288.6MB, time=139.70
memory used=29280.1MB, alloc=10642.8MB, time=143.44
memory used=30149.1MB, alloc=11068.7MB, time=147.71
memory used=31499.2MB, alloc=11717.1MB, time=154.22
memory used=32166.5MB, alloc=12038.2MB, time=157.52
memory used=33018.0MB, alloc=12458.0MB, time=161.68
memory used=34093.6MB, alloc=12980.3MB, time=166.89
memory used=34758.5MB, alloc=13306.4MB, time=170.17
memory used=35880.1MB, alloc=13857.2MB, time=175.62
memory used=36356.1MB, alloc=14093.7MB, time=178.04
memory used=37147.4MB, alloc=14742.0MB, time=181.94
memory used=37920.5MB, alloc=15128.9MB, time=185.76
memory used=30.86GiB, alloc change=15.61GiB, cpu time=2.54m, real time=2.54m, gc time=2.99s
n=14  #Dn=1366500
memory used=41155.3MB, alloc=2246.9MB, time=203.59
memory used=41378.3MB, alloc=2471.3MB, time=205.49
memory used=41501.3MB, alloc=2386.0MB, time=206.50
memory used=41809.0MB, alloc=2386.0MB, time=208.12
memory used=42116.7MB, alloc=2386.0MB, time=209.74
memory used=42466.4MB, alloc=2427.7MB, time=211.94
memory used=42755.8MB, alloc=2544.6MB, time=215.25
memory used=42893.3MB, alloc=2545.4MB, time=217.82
memory used=43383.2MB, alloc=2524.6MB, time=220.59
memory used=43996.2MB, alloc=2534.2MB, time=225.78
memory used=44313.5MB, alloc=2502.9MB, time=227.88
memory used=44507.6MB, alloc=2502.9MB, time=229.88
memory used=44638.9MB, alloc=2512.9MB, time=230.41
memory used=44750.0MB, alloc=2533.7MB, time=231.12
memory used=44790.7MB, alloc=2538.0MB, time=231.73
memory used=45222.6MB, alloc=2545.4MB, time=233.93
memory used=45619.7MB, alloc=2545.4MB, time=235.98
memory used=46020.8MB, alloc=2545.4MB, time=238.18
memory used=46416.0MB, alloc=2545.4MB, time=240.32
memory used=46810.6MB, alloc=2545.4MB, time=242.45
memory used=47205.1MB, alloc=2545.4MB, time=244.58
memory used=47615.5MB, alloc=2545.4MB, time=247.43
memory used=48010.8MB, alloc=2545.4MB, time=249.83
memory used=48405.7MB, alloc=2545.4MB, time=252.24
memory used=48800.9MB, alloc=2545.4MB, time=254.65
memory used=49195.7MB, alloc=2545.4MB, time=257.08
memory used=49589.7MB, alloc=2545.4MB, time=259.49
memory used=49707.8MB, alloc=2579.5MB, time=260.32
memory used=49715.4MB, alloc=2569.9MB, time=260.49
memory used=49722.9MB, alloc=2577.4MB, time=260.59
memory used=49807.4MB, alloc=2546.7MB, time=262.06
memory used=50204.1MB, alloc=2546.7MB, time=264.83
memory used=50600.8MB, alloc=2546.7MB, time=267.60
memory used=50997.0MB, alloc=2546.7MB, time=270.38
memory used=51393.5MB, alloc=2546.7MB, time=273.15
memory used=51788.7MB, alloc=2546.7MB, time=275.91
memory used=52183.6MB, alloc=2546.7MB, time=278.70
memory used=52578.7MB, alloc=2546.7MB, time=281.48
memory used=52972.7MB, alloc=2546.7MB, time=284.24
memory used=53366.4MB, alloc=2546.7MB, time=287.01
memory used=53759.5MB, alloc=2546.7MB, time=289.77
memory used=53978.2MB, alloc=2583.8MB, time=291.49
memory used=54015.4MB, alloc=2621.0MB, time=291.77
memory used=54030.8MB, alloc=2599.1MB, time=292.06
memory used=54046.1MB, alloc=2614.4MB, time=292.22
memory used=54191.0MB, alloc=2547.5MB, time=295.38
memory used=54587.3MB, alloc=2547.5MB, time=298.51
memory used=54983.2MB, alloc=2547.5MB, time=301.63
memory used=55378.6MB, alloc=2547.5MB, time=304.78
memory used=55773.6MB, alloc=2547.5MB, time=307.90
memory used=56168.3MB, alloc=2547.5MB, time=311.02
memory used=56562.5MB, alloc=2547.5MB, time=314.14
memory used=56956.0MB, alloc=2547.5MB, time=317.25
memory used=57349.2MB, alloc=2547.5MB, time=320.36
memory used=57742.5MB, alloc=2547.5MB, time=323.47
memory used=58135.0MB, alloc=2547.5MB, time=326.58
memory used=58527.4MB, alloc=2547.5MB, time=329.69
memory used=58919.3MB, alloc=2547.5MB, time=332.79
memory used=59310.6MB, alloc=2547.5MB, time=335.91
memory used=59701.3MB, alloc=2547.5MB, time=339.01
memory used=60091.6MB, alloc=2547.5MB, time=342.11
memory used=60481.3MB, alloc=2547.5MB, time=345.20
memory used=60870.6MB, alloc=2547.5MB, time=348.29
memory used=61141.0MB, alloc=2624.9MB, time=350.74
memory used=61218.3MB, alloc=2702.2MB, time=351.26
memory used=61248.3MB, alloc=2654.7MB, time=351.85
memory used=61278.2MB, alloc=2684.6MB, time=352.10
memory used=61517.2MB, alloc=2548.8MB, time=358.88
memory used=61916.5MB, alloc=2548.8MB, time=362.05
memory used=62315.0MB, alloc=2548.8MB, time=365.23
memory used=62713.6MB, alloc=2548.8MB, time=368.40
memory used=63111.7MB, alloc=2548.8MB, time=371.56
memory used=63509.2MB, alloc=2548.8MB, time=374.75
memory used=63906.6MB, alloc=2548.8MB, time=377.92
memory used=64302.9MB, alloc=2548.8MB, time=381.08
memory used=64699.3MB, alloc=2548.8MB, time=384.23
memory used=65095.3MB, alloc=2548.8MB, time=387.39
memory used=65490.8MB, alloc=2548.8MB, time=390.54
memory used=65885.8MB, alloc=2548.8MB, time=393.69
memory used=66280.1MB, alloc=2548.8MB, time=396.85
memory used=66674.0MB, alloc=2548.8MB, time=400.00
memory used=67067.5MB, alloc=2548.8MB, time=403.14
memory used=67460.6MB, alloc=2548.8MB, time=406.28
memory used=67852.9MB, alloc=2548.8MB, time=409.41
memory used=68245.3MB, alloc=2548.8MB, time=412.55
memory used=68637.3MB, alloc=2548.8MB, time=415.71
memory used=69028.9MB, alloc=2548.8MB, time=418.84
memory used=69420.4MB, alloc=2548.8MB, time=421.98
memory used=69810.2MB, alloc=2548.8MB, time=425.10
memory used=70200.6MB, alloc=2548.8MB, time=428.23
memory used=70590.1MB, alloc=2548.8MB, time=431.35
memory used=70979.1MB, alloc=2548.8MB, time=434.47
memory used=71368.0MB, alloc=2548.8MB, time=437.59
memory used=71756.4MB, alloc=2548.8MB, time=440.70
memory used=72144.6MB, alloc=2548.8MB, time=443.81
memory used=72680.1MB, alloc=2700.6MB, time=448.80
memory used=72831.9MB, alloc=2852.4MB, time=449.80
memory used=72869.9MB, alloc=2738.5MB, time=450.92
memory used=72907.9MB, alloc=2776.5MB, time=451.24
memory used=73221.7MB, alloc=2586.7MB, time=460.66
memory used=73281.1MB, alloc=2547.1MB, time=465.72
memory used=73343.7MB, alloc=2609.7MB, time=510.18
memory used=73385.4MB, alloc=2649.6MB, time=510.31
memory used=31.73GiB, alloc change=-15.03GiB, cpu time=5.17m, real time=5.18m, gc time=22.25s
n=14 #f=[27132, 14, 27132, 14]

> quit
memory used=73387.9MB, alloc=2649.6MB, time=510.33