random(CoincidentRootLocus) -- get a random element

i1 : X = coincidentRootLocus {3,3,2}

o1 = CRL(3,3,2)

o1 : CoincidentRootLocus

i2 : F = random X

        8        7           6 2          5 3           4 4            3 5  
o2 = 72t  - 3108t t  + 56018t t  - 546831t t  + 3136401t t  - 10714113t t  +
        0        0 1         0 1          0 1           0 1            0 1  
     ------------------------------------------------------------------------
              2 6              7           8
     21001761t t  - 21257640t t  + 8503056t
              0 1            0 1           1

o2 : QQ[t , t ]
         0   1

i3 : member(F,X)

o3 = true

i4 : factor F

               3           3           2
o4 = (t  - 9t ) (2t  - 9t ) (3t  - 4t )
       0     1     0     1     0     1

o4 : Expression of class Product