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