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