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