q0 = 215*x^3*z^2+27*x^4*z+x^5+669*x^2*z^3+720*x*z^4;
q1 = 5*x^4*y+27*x^4*w+108*x^3*y*z+430*x^3*z*w+645*x^2*y*z^2+720*y*z^4+1338*y*z^3*x+2007*x^2*z^2*w+2880*x*z^3*w;
q2 = 10*x^3*y^2+215*x^3*w^2+108*x^3*y*w+162*x^2*y^2*z+1290*x^2*y*z*w+645*x*y^2*z^2+2007*x^2*w^2*z+669*y^2*z^3+2880*y*z^3*w+4014*x*y*z^2*w+4320*x*z^2*w^2;
q3 = 10*x^2*y^3+215*y^3*z^2+162*x^2*y^2*w+645*x^2*y*w^2+108*x*y^3*z+1290*x*y^2*z*w+669*x^2*w^3+2880*x*w^3*z+2007*y^2*z^2*w+4014*x*y*z*w^2+4320*y*z^2*w^2;
q4 = 5*x*y^4+27*y^4*z+108*x*y^3*w+645*x*y^2*w^2+430*y^3*z*w+720*x*w^4+1338*x*w^3*y+2007*y^2*w^2*z+2880*y*w^3*z;
q5 = 215*y^3*w^2+27*y^4*w+y^5+669*y^2*w^3+720*y*w^4;
dtupleideal= ideal(q0,q1,q2,q3,q4,q5);