# coefficient(BasicList,BasicDivisor) -- get the coefficient of an ideal for a fixed divisor

## Synopsis

• Function: coefficient
• Usage:
coefficient(L, D)
• Inputs:
• L, , the list of elements in a Grobner basis of a height one prime ideal that we want to find the coefficient of
• D, an instance of the type BasicDivisor, the divisor in question
• Outputs:

## Description

This function returns the coefficient of $D$ along the prime divisor generated by $L$ assuming $L$ is the ordered list of an element

 i1 : R = QQ[x,y,u,v]/ideal(x*y-u*v); i2 : E = divisor(x*u) o2 = Div(v, x) + Div(u, y) + 2*Div(u, x) o2 : WeilDivisor on R i3 : coefficient({u, x}, E) o3 = 2 i4 : coefficient({x, u}, E) o4 = 0