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