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