"Source: Text/Basics/ModFld.text";
"Line: 740";
"Date: Thu Sep 25 14:47:46 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Basics/ModFld.text, line: 740
// Example: H29E7 ()
print "Example: H29E7";
ei := GetEchoInput();
SetEchoInput(true);
K<w> := CyclotomicField(8);
V := VectorSpace(K, 3);
u := V ! [ 1 + w, w^ 2, w^ 4];
u;
u[3];
assert $1 eq -1;
u[3] := 1 + w - w^7;
u;
// We now demonstrate indexing a matrix space
W := KMatrixSpace(K, 2, 3);
l := W ! [ 1 - w, 1 + w, 1 + w + w^2, 0, 1 - w^7, 1 - w^3 + w^6 ];
l;
l[2];
l[2,2];
m := l[2];
m;
l[2] := u;
l;
l[2, 3] := 1 + w - w^7;
l;
SetEchoInput(ei);
