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