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