"Source: Text/Commut/RngDiff.text";
"Line: 3903";
"Date: Thu Sep 25 14:47:46 2025";
"Main: Fri Sep 26 14:29:19 2025";
// original file: Text/Commut/RngDiff.text, line: 3903
// Example: H121E69 ()
print "Example: H121E69";
ei := GetEchoInput();
SetEchoInput(true);
S<t>:=DifferentialLaurentSeriesRing(Rationals());
R<D>:=DifferentialOperatorRing(S);
L:=(D+2/t)^2;
np:=NewtonPolygon(L);
faces:=Faces(np);
#faces eq 1;
assert $1;
NewtonPolynomial(faces[1]);
factsL_lclm,blsL_lclm:=Factorisation(L);
factsL_lclm;
blsL_lclm;
factsL_c1,blsL_c1:=Factorisation(L:Algorithm:="CoprimeIndexOne");
factsL_c1 eq factsL_lclm;
assert $1;
blsL_c1 eq blsL_lclm;
assert $1;
SetEchoInput(ei);
