# relationsCoefficients -- Relations between the coefficients of a deformation.

## Synopsis

• Usage:
relationsCoefficients(f)
• Inputs:
• Outputs:
• ,

## Description

Computes the matrix whose columns generate the relations on the coefficients of the images of the generators of source(FirstOrderDeformation) f considering it as a homomorphism.

 i1 : R=QQ[x_0..x_4]; i2 : addCokerGrading(R); 5 4 o2 : Matrix ZZ <--- ZZ i3 : I=ideal(x_0*x_1,x_1*x_2,x_2*x_3,x_3*x_4,x_4*x_0) o3 = ideal (x x , x x , x x , x x , x x ) 0 1 1 2 2 3 3 4 0 4 o3 : Ideal of R i4 : mg=mingens I; 1 5 o4 : Matrix R <--- R i5 : f=firstOrderDeformation(mg, vector {-1,1,0,0,0}) x 1 o5 = -- x 0 o5 : first order deformation space of dimension 1 i6 : relationsCoefficients f o6 = | -1 | | 1 | 2 1 o6 : Matrix ZZ <--- ZZ