Supplementary Material for the paper
"Diagonals of rational functions and selected differential Galois groups"
by A. Bostan, S. Boukraa, J-M. Maillard, J-A. Weil
The data are given in the form of a list
[ rational function, differential operator anihilating its
diagonal ].
For example, when
SS[1] := [w*x*y+w*x+x*z+y+z,
48-48*x-8*x^2+Dx*(-6+426*x-2*x^2-64*x^3)+Dx^2*(-6*x+209*x^2+94*x^3-32*x^4)]:
this means that the diagonal of the rational function of 4
variables
w*x*y+w*x+x*z+y+z
anihilates the differential operator (given in DEtools syntax
as a polynomial in x and Dx)
48-48*x-8*x^2+Dx*(-6+426*x-2*x^2-64*x^3)+Dx^2*(-6*x+209*x^2+94*x^3-32*x^4)
;
1- Diagonals of rational functions of three variables
Order 1 operators , Order 2 operators
2- Diagonals of rational functions of four variables
Order 1 operators Order 2 operators Order 3 operators Order 4 operators Order 5 operators
Order 6 operators Order 7 operators Order 8 operators Order 9 operators Order 10 operators
3- Diagonals of rational functions of six variables
Order 2 operators Order 3 operators Order 4 operators Order 5 operators
Order 6 operators Order 8 operators Order 10 operators Order 12 operators