** 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