Quadratic plane Cremona maps

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> ###############################################################################################################
> #### QUADRATIC PLANE CREMONA MAPS
> ###############################################################################################################
> #### LIST OF 3FUNDAMENTAL QUADRATIC PLANE CREMONA MAPS
> sigma:=[y*z,x*z,x*y];

                       sigma := [y z, x z, x y]

> rho := [x*y,z^2,y*z];

                                      2
                        rho := [x y, z , y z]

> tau := [x^2,x*y,y^2-x*z];

                               2        2
                      tau := [x , x y, y  - x z]

> #### WEIGHTED PROXIMITY GRAPHS OF THE 3 FUNDAMENTAL QUADRATIC PLANE CREMONA MAPS
> G[2,1]:=[[1,1,1],[]]; G[2,2]:=[[1,1,1],[[2,1]]]; G[2,3]:=[[1,1,1],[[2,1],[3,2]]];

                      G[2, 1] := [[1, 1, 1], []]


                   G[2, 2] := [[1, 1, 1], [[2, 1]]]


               G[2, 3] := [[1, 1, 1], [[2, 1], [3, 2]]]

> #### ORDINARY QUADRATIC LENGTHS OF QUADRATIC PLANE CREMONA MAPS
> oql[2,1]:=1;  oql[2,2]:=2;  oql[2,3]:=4;

                            oql[2, 1] := 1


                            oql[2, 2] := 2


                            oql[2, 3] := 4

>