i1 : M = random(ZZ^3, ZZ^5) o1 = | 8 7 4 5 1 | | 4 4 4 6 5 | | 2 7 9 0 4 | 3 5 o1 : Matrix ZZ <--- ZZ |
i2 : R = QQ[x,y,z] o2 = R o2 : PolynomialRing |
i3 : phi = makeRingMaps(M,R) o3 = {map(QQ,R,{8, 4, 2}), map(QQ,R,{7, 4, 7}), map(QQ,R,{4, 4, 9}), ------------------------------------------------------------------------ map(QQ,R,{5, 6, 0}), map(QQ,R,{1, 5, 4})} o3 : List |
i4 : apply (gens(R),r->phi#2 r) o4 = {4, 4, 9} o4 : List |
i5 : phi#2 o5 = map(QQ,R,{4, 4, 9}) o5 : RingMap QQ <--- R |