i1 : F = randomBinaryForm 7 7 6 5 2 4 3 3 4 2 5 6 7 o1 = 18t + 2t t + 9t t + 2t t + 4t t + 3t t + 6t t + 3t 0 0 1 0 1 0 1 0 1 0 1 0 1 1 o1 : QQ[t , t ] 0 1 |
i2 : apolar(F,4) 4 3 2 2 3 4 o2 = ideal(75621t + 740842t t - 3587636t t - 2099787t t + 741116t ) 0 0 1 0 1 0 1 1 o2 : Ideal of QQ[t , t ] 0 1 |
i3 : apolar(F,5) 3 2 2 3 4 5 4 2 3 o3 = ideal (1355t t - 5785t t - 3840t t + 1321t , 1355t t - 7610t t - 0 1 0 1 0 1 1 0 1 0 1 ------------------------------------------------------------------------ 4 5 5 2 3 4 5 5t t + 338t , 271t - 47505t t - 33770t t + 11872t ) 0 1 1 0 0 1 0 1 1 o3 : Ideal of QQ[t , t ] 0 1 |