GAP 4.8.9 installation with standard packages -- copy to your CoCalc project to get it
Print( "S := " );
Display( S );
convert_commands := [
"ConvertHomalgMatrixViaListListString",
"ConvertHomalgMatrixViaListString",
"ConvertHomalgMatrixViaSparseString",
"ConvertHomalgMatrixViaFile"
];
for c in convert_commands do
Print( "\n## ", c, ":\n" );
c := ValueGlobal( c );
## a copy of the original imat
omat := ShallowCopy( imat );
## omat converted
cmat := c( omat, S );
Print( "\n" );
Display( cmat );
Print( "\n## and back:\n" );
## and back
bmat := c( cmat, R );
Print( "\n" );
Display( bmat );
b := b and bmat = omat;
od;
Assert( 0, b );