Returns the list of height-one prime ideals corresponding to the components of a BasicDiv. Note that if you don’t call simplifyDiv, this can return primes with coefficient equal to zero.
i1 : R = QQ[x,y,u,v]/ideal(x*y-u*v)
o1 = R
o1 : QuotientRing
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i2 : D = divisor(x)
o2 = 1*Div(v, x) + 1*Div(u, x) of R
o2 : WDiv
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i3 : getPrimeList(D)
o3 = {ideal (v, x), ideal (u, x)}
o3 : List
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i4 : E = divisor(x*u)
o4 = 1*Div(u, y) + 1*Div(v, x) + 2*Div(u, x) of R
o4 : WDiv
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i5 : getPrimeList(E)
o5 = {ideal (u, y), ideal (v, x), ideal (u, x)}
o5 : List
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