i1 : R=QQ[x_0..x_1, x_3, x_5..x_6, z, Degrees => {7..8, 17, 19..20, 1}]
o1 = R
o1 : PolynomialRing
|
i2 : J=ideal(x_1^3-x_0*x_3+x_1*z^16+x_0*z^17,x_1*x_5-x_0*x_6+x_0^2*z^13+x_1*z^19-x_0*z^20,x_0^4-x_1*x_6+x_0*x_1*z^13
+x_0^2*z^14-x_1*z^20,x_1^2*x_3-x_0^2*x_5-x_5*z^14+x_3*z^16+x_1^2*z^17+x_0*x_1*z^18+x_0^2*z^19,x_3^2-x_0^2*x_6
+x_0^3*z^13-x_6*z^14+x_1^2*z^18+2*x_0*x_1*z^19-x_0^2*z^20+x_0*z^27-2*z^34,x_3*x_5-x_1^2*x_6+x_0*x_1^2*z^13-x_
6*z^16-x_5*z^17+x_3*z^19-x_1^2*z^20+x_0*z^29-2*z^36,x_0^3*x_1^2-x_3*x_6+x_0*x_3*z^13+x_0*x_1^2*z^14+x_0^3*z^
16+x_6*z^17-x_3*z^20+z^37,x_0^3*x_3-x_5^2+x_0^2*x_1*z^16+x_0^3*z^17+x_6*z^18-x_0*z^31+2*z^38,x_0^2*x_1*x_3-x_
5*x_6+x_0*x_5*z^13+x_0*x_1^2*z^16+x_0^2*x_1*z^17+x_0^3*z^18+x_6*z^19-x_5*z^20+z^39,x_0^3*x_5-x_6^2+2*x_0*x_6*
z^13+x_0*x_5*z^14+x_0^3*z^19-2*x_6*z^20-x_0^2*z^26+3*x_0*z^33-z^40);
o2 : Ideal of R
|
i3 : L=flatten drop(degrees R,-1)
o3 = {7, 8, 17, 19, 20}
o3 : List
|
i4 : (base,family)=getParameterFamily J;
|
i5 : J1=getOneParameterFamily(J,base,family,4)
#pos = 2, #posa = 2
3 16 17 2 13 19 4
o5 = ideal (x - x x + x z + x z , x x - x x + x z + x z , x - x x
1 0 3 1 0 1 5 0 6 0 1 0 1 6
13 2 14 2 2 14 16 2 17 18
+ x x z + x z , x x - x x - x z + x z + x z + x x z +
0 1 0 1 3 0 5 5 3 1 0 1
2 19 2 2 3 13 14 2 18 19 27 34
x z , x - x x + x z - x z + x z + 2x x z + x z - z , x x
0 3 0 6 0 6 1 0 1 0 3 5
2 2 13 16 17 19 29 36 3 2
- x x + x x z - x z - x z + x z + x z - z , x x - x x +
1 6 0 1 6 5 3 0 0 1 3 6
13 2 14 3 16 17 3 2 2 16 3 17 18
x x z + x x z + x z + x z , x x - x + x x z + x z + x z -
0 3 0 1 0 6 0 3 5 0 1 0 6
31 38 2 13 2 16 2 17 3 18
x z + z , x x x - x x + x x z + x x z + x x z + x z +
0 0 1 3 5 6 0 5 0 1 0 1 0
19 3 2 13 14 3 19 2 26 33
x z , x x - x + 2x x z + x x z + x z - x z + x z )
6 0 5 6 0 6 0 5 0 0 0
o5 : Ideal of R
|
i6 : J_*/size
o6 = {4, 5, 5, 7, 9, 9, 8, 7, 9, 9}
o6 : List
|
i7 : J1_*/size
o7 = {4, 4, 4, 7, 8, 8, 6, 7, 7, 7}
o7 : List
|