Information about orbit centralizers:
orbit#: 0 diagram: [0,0,0,0,0,0,0]
isogeny information: 
Centralizer: E7
Group is semisimple
center=Z/2Z
simply connected root datum of Lie type 'E7'
-------------
orbit#: 1 diagram: [1,0,0,0,0,0,0]
isogeny information: 
Centralizer: D6
Group is semisimple
center=Z/2Z x Z/2Z
simply connected root datum of Lie type 'D6'
-------------
orbit#: 2 diagram: [0,0,0,0,0,1,0]
isogeny information: 
Centralizer: A1+B4
Group is semisimple
center=Z/2Z x Z/2Z
simply connected root datum of Lie type 'A1'
simply connected root datum of Lie type 'B4'
-------------
orbit#: 3 diagram: [0,0,0,0,0,0,2]
isogeny information: 
Centralizer: F4
Center is trivial
simply connected adjoint root datum of Lie type 'F4'
-------------
orbit#: 4 diagram: [0,0,1,0,0,0,0]
isogeny information: 
Centralizer: A1+C3
Group is semisimple
center=Z/2Z x Z/2Z
simply connected root datum of Lie type 'C3'
simply connected root datum of Lie type 'A1'
-------------
orbit#: 5 diagram: [2,0,0,0,0,0,0]
isogeny information: 
Centralizer: A5
Group is semisimple
center=Z/6Z
simply connected root datum of Lie type 'A5'
-------------
orbit#: 6 diagram: [0,1,0,0,0,0,1]
isogeny information: 
Centralizer: C3
Group is semisimple
center=Z/2Z
simply connected root datum of Lie type 'C3'
-------------
orbit#: 7 diagram: [1,0,0,0,0,1,0]
isogeny information: 
Centralizer: A3+T1
Split exact sequence:
1->S->Z->Z/S->1
S=complex torus of rank 1
Z/S=Center(G/S)=Z/2Z
simply connected root datum of Lie type 'A3'
-------------
orbit#: 8 diagram: [0,0,0,1,0,0,0]
isogeny information: 
Centralizer: 3A1
Group is semisimple
center=Z/2Z x Z/2Z
simply connected root datum of Lie type 'A1'
simply connected root datum of Lie type 'A1'
simply connected root datum of Lie type 'A1'
-------------
orbit#: 9 diagram: [2,0,0,0,0,1,0]
isogeny information: 
Centralizer: A1+B3
Group is semisimple
center=Z/2Z x Z/2Z
simply connected root datum of Lie type 'A1'
simply connected root datum of Lie type 'B3'
-------------
orbit#: 10 diagram: [0,0,0,0,0,2,0]
isogeny information: 
Centralizer: A1+G2
Group is semisimple
center=Z/2Z
simply connected adjoint root datum of Lie type 'G2'
simply connected root datum of Lie type 'A1'
-------------
orbit#: 11 diagram: [0,2,0,0,0,0,0]
isogeny information: 
Centralizer: G2
Center is trivial
simply connected adjoint root datum of Lie type 'G2'
-------------
orbit#: 12 diagram: [2,0,0,0,0,0,2]
isogeny information: 
Centralizer: B3
Group is semisimple
center=Z/2Z
simply connected root datum of Lie type 'B3'
-------------
orbit#: 13 diagram: [0,0,1,0,0,1,0]
isogeny information: 
Centralizer: 2A1
Group is semisimple
center=Z/2Z x Z/2Z
simply connected root datum of Lie type 'A1'
simply connected root datum of Lie type 'A1'
-------------
orbit#: 14 diagram: [1,0,0,1,0,0,0]
isogeny information: 
Centralizer: 3A1
Group is semisimple
center=Z/2Z x Z/2Z x Z/2Z
simply connected root datum of Lie type 'A1'
simply connected root datum of Lie type 'A1'
simply connected root datum of Lie type 'A1'
-------------
orbit#: 15 diagram: [0,0,2,0,0,0,0]
isogeny information: 
Centralizer: 3A1
Group is semisimple
center=Z/2Z x Z/2Z x Z/2Z
simply connected root datum of Lie type 'A1'
simply connected root datum of Lie type 'A1'
simply connected root datum of Lie type 'A1'
-------------
orbit#: 16 diagram: [1,0,0,0,1,0,1]
isogeny information: 
Centralizer: 2A1
Group is semisimple
center=Z/2Z x Z/2Z
simply connected root datum of Lie type 'A1'
simply connected root datum of Lie type 'A1'
-------------
orbit#: 17 diagram: [2,0,2,0,0,0,0]
isogeny information: 
Centralizer: C3
Group is semisimple
center=Z/2Z
simply connected root datum of Lie type 'C3'
-------------
orbit#: 18 diagram: [0,1,1,0,0,0,1]
isogeny information: 
Centralizer: 2A1
Group is semisimple
center=Z/2Z x Z/2Z
simply connected root datum of Lie type 'A1'
simply connected root datum of Lie type 'A1'
-------------
orbit#: 19 diagram: [0,0,0,1,0,1,0]
isogeny information: 
Centralizer: A1+T1
Split exact sequence:
1->S->Z->Z/S->1
S=complex torus of rank 1
Z/S=Center(G/S)=Z/2Z
simply connected root datum of Lie type 'A1'
-------------
orbit#: 20 diagram: [2,0,0,0,0,2,0]
isogeny information: 
Centralizer: A2+T1
Center is a connected complex torus of rank 1
simply connected root datum of Lie type 'A2'
-------------
orbit#: 21 diagram: [0,0,0,0,2,0,0]
isogeny information: 
Centralizer: A1
Center is trivial
adjoint root datum of Lie type 'A1'
-------------
orbit#: 22 diagram: [2,1,1,0,0,0,1]
isogeny information: 
Centralizer: B2
Group is semisimple
center=Z/2Z
simply connected root datum of Lie type 'B2'
-------------
orbit#: 23 diagram: [2,0,0,0,0,2,2]
isogeny information: 
Centralizer: G2
Center is trivial
simply connected adjoint root datum of Lie type 'G2'
-------------
orbit#: 24 diagram: [1,0,0,1,0,1,0]
isogeny information: 
Centralizer: 2T1
Center is a connected complex torus of rank 2
-------------
orbit#: 25 diagram: [2,0,0,1,0,1,0]
isogeny information: 
Centralizer: A1+T1
Split exact sequence:
1->S->Z->Z/S->1
S=complex torus of rank 1
Z/S=Center(G/S)=Z/2Z
simply connected root datum of Lie type 'A1'
-------------
orbit#: 26 diagram: [0,0,0,2,0,0,0]
isogeny information: 
Centralizer: A1
Group is semisimple
center=Z/2Z
simply connected root datum of Lie type 'A1'
-------------
orbit#: 27 diagram: [1,0,0,1,0,2,0]
isogeny information: 
Centralizer: 2A1
Group is semisimple
center=Z/2Z x Z/2Z
simply connected root datum of Lie type 'A1'
simply connected root datum of Lie type 'A1'
-------------
orbit#: 28 diagram: [2,0,0,0,2,0,0]
isogeny information: 
Centralizer: A1
Center is trivial
adjoint root datum of Lie type 'A1'
-------------
orbit#: 29 diagram: [1,0,0,1,0,1,2]
isogeny information: 
Centralizer: A1
Group is semisimple
center=Z/2Z
simply connected root datum of Lie type 'A1'
-------------
orbit#: 30 diagram: [0,0,2,0,0,2,0]
isogeny information: 
Centralizer: A1
Group is semisimple
center=Z/2Z
simply connected root datum of Lie type 'A1'
-------------
orbit#: 31 diagram: [0,1,1,0,1,0,2]
isogeny information: 
Centralizer: A1
Group is semisimple
center=Z/2Z
simply connected root datum of Lie type 'A1'
-------------
orbit#: 32 diagram: [2,0,2,0,0,2,0]
isogeny information: 
Centralizer: 2A1
Group is semisimple
center=Z/2Z x Z/2Z
simply connected root datum of Lie type 'A1'
simply connected root datum of Lie type 'A1'
-------------
orbit#: 33 diagram: [0,0,0,2,0,0,2]
isogeny information: 
Centralizer: e
Center is trivial
-------------
orbit#: 34 diagram: [2,1,1,0,1,1,0]
isogeny information: 
Centralizer: A1
Group is semisimple
center=Z/2Z
simply connected root datum of Lie type 'A1'
-------------
orbit#: 35 diagram: [0,0,0,2,0,2,0]
isogeny information: 
Centralizer: A1
Group is semisimple
center=Z/2Z
simply connected root datum of Lie type 'A1'
-------------
orbit#: 36 diagram: [2,1,1,0,1,0,2]
isogeny information: 
Centralizer: A1
Group is semisimple
center=Z/2Z
simply connected root datum of Lie type 'A1'
-------------
orbit#: 37 diagram: [2,0,0,2,0,0,2]
isogeny information: 
Centralizer: e
Center is trivial
-------------
orbit#: 38 diagram: [2,0,0,2,0,2,0]
isogeny information: 
Centralizer: T1
Center is a connected complex torus of rank 1
-------------
orbit#: 39 diagram: [2,1,1,0,1,2,2]
isogeny information: 
Centralizer: A1
Group is semisimple
center=Z/2Z
simply connected root datum of Lie type 'A1'
-------------
orbit#: 40 diagram: [2,0,2,2,0,2,0]
isogeny information: 
Centralizer: A1
Group is semisimple
center=Z/2Z
simply connected root datum of Lie type 'A1'
-------------
orbit#: 41 diagram: [2,0,0,2,0,2,2]
isogeny information: 
Centralizer: e
Center is trivial
-------------
orbit#: 42 diagram: [2,2,2,0,2,0,2]
isogeny information: 
Centralizer: e
Center is trivial
-------------
orbit#: 43 diagram: [2,2,2,0,2,2,2]
isogeny information: 
Centralizer: e
Center is trivial
-------------
orbit#: 44 diagram: [2,2,2,2,2,2,2]
isogeny information: 
Centralizer: e
Center is trivial
-------------