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