i1 : M = random(ZZ^3, ZZ^5) o1 = | 0 9 8 1 8 | | 2 0 7 7 3 | | 6 1 0 4 7 | 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,{0, 2, 6}), map(QQ,R,{9, 0, 1}), map(QQ,R,{8, 7, 0}), ------------------------------------------------------------------------ map(QQ,R,{1, 7, 4}), map(QQ,R,{8, 3, 7})} o3 : List |
i4 : apply (gens(R),r->phi#2 r) o4 = {8, 7, 0} o4 : List |
i5 : phi#2 o5 = map(QQ,R,{8, 7, 0}) o5 : RingMap QQ <--- R |