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CoincidentRootLoci :: randomBinaryForm

randomBinaryForm -- random homogeneous polynomial in two variables

Synopsis

Description

i1 : F = randomBinaryForm 5

        5     4       3 2     2 3       4     5
o1 = 18t  + 2t t  + 9t t  + 2t t  + 4t t  + 3t
        0     0 1     0 1     0 1     0 1     1

o1 : QQ[t , t ]
         0   1
i2 : F = randomBinaryForm(5,4,3)

               5              4                3 2              2 3  
o2 = 209884591t  - 1249398325t t  + 2795829750t t  - 2971862250t t  +
               0              0 1              0 1              0 1  
     ------------------------------------------------------------------------
                  4             5
     1613878875t t  - 366993425t
                0 1             1

o2 : QQ[t , t ]
         0   1
i3 : (realrank F,complexrank F)

o3 = (4, 3)

o3 : Sequence
i4 : F = randomBinaryForm(6,4,4)

                     6                    5                      4 2  
o4 = 151593348325230t  - 1001707567517853t t  + 2394466288253865t t  -
                     0                    0 1                    0 1  
     ------------------------------------------------------------------------
                      3 3                   2 4                     5  
     2398560658537680t t  + 857335954800780t t  - 107148217250592t t  +
                      0 1                   0 1                   0 1  
     ------------------------------------------------------------------------
                   6
     2912695973840t
                   1

o4 : QQ[t , t ]
         0   1
i5 : (realrank F,complexrank F)

o5 = (4, 4)

o5 : Sequence

See also

Ways to use randomBinaryForm :