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