#############################################################################
##
#F                             CHEVIE library
##
#Y  Copyright 1992--1993,  Lehrstuhl D f"ur Mathematik,    RWTH Aachen,   and
#Y                         IWR   der   Universit"at    Heidelberg,   Germany.
##
# Orthogonalitaet o.k. uep 12.2.92 
#############################################################################
#                                                                           #
#   Die Greenfunktionen der E_6(q):2 in Charakteristik 2                    #
#                                                                           #
#############################################################################
##
#A {\sc G. Malle}, Green functions for groups of types E_6 and F_4 in
#A   characteristic 2, Comm. Algebra 21 (1993), 747--798.
##
lprint(`**************************************************************************`);
lprint(`*                                                                        *`);
lprint(`*                                                                        *`);
lprint(`*               Outer Green Functions of E_6(q):2  in char 2             *`);
lprint(`*                                                                        *`);
lprint(`*                                                                        *`);
lprint(`**************************************************************************`);

# Wertetafel

`E6e2green` := array(-2..25, -1..28,[

 [`E_6(q)\\colon2`, `E6e2002green`, 2*q^24*(q-1)^4*(q+1)^4*(q^2+q+1)^2*(q^
  2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), 25, 25, 28, 28],

 [`classes`, ` `, `u_0`, `u_1`, `u_2`, `u_3`, `u_4`, `u_5`, `u_6`, `u_7`,
  `u_8`, `u_9`, `u_{10}`, `u_{11}`, `u_{12}`, `u_{13}`, `u_{14}`, `u_{15}`,
  `u_{16}`, `u_{17}`, `u_{18}`, `u_{19}`, `u_{20}`, `u_{21}`, `u_{22}`,
  `u_{23}`, `u_{24}`, `u_{25}`, `u_{26}`, `u_{27}` ],

 [`classlength`, 1, 1, (q-1)*(q+1)*(q^2+q+1)*(q^2+1)*(q^2-q+1)*(q^4
+1)*(q^4-q^2+1), 1/2*q^3*(q-1)*(q+1)^2*(q^2+q+1)*(q^2+1)*(q^2-q+1)^2*(q
^4+1)*(q^4-q^2+1), 1/2*q^3*(q-1)^2*(q+1)*(q^2+q+1)^2*(q^2+1)*(q^2-q+1)
*(q^4+1)*(q^4-q^2+1), q^4*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q^2
-q+1)^2*(q^4+1)*(q^4-q^2+1), q^4*(q-1)^2*(q+1)^2*(q^2+q+1)*(q^2+1)^2*
(q^2-q+1)*(q^4+1)*(q^4-q^2+1), q^4*(q-1)^3*(q+1)^3*(q^2+q+1)^2*(q^2+1
)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), q^8*(q-1)^3*(q+1)^3*(q^2+q+1)^2
*(q^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), q^10*(q-1)^2*(q+1)^2*(q^
2+q+1)*(q^2+1)^2*(q^2-q+1)*(q^4+1)*(q^4-q^2+1), q^10*(q-1)^3*(q+1)^3*(
q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), 1/2*q^12*(q-1)
^2*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), 1/
2*q^12*(q-1)^3*(q+1)^3*(q^2+q+1)^2*(q^2+1)*(q^2-q+1)^2*(q^4+1)*(q^4-q
^2+1), 1/2*q^12*(q-1)^3*(q+1)^3*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q
^4+1)*(q^4-q^2+1), 1/2*q^12*(q-1)^3*(q+1)^3*(q^2+q+1)^2*(q^2+1)^2*(q
^2-q+1)^2*(q^4+1)*(q^4-q^2+1), 1/24*q^12*(q-1)^4*(q+1)^4*(q^2+q+1)^2*
(q^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), 1/8*q^12*(q-1)^4*(q+1)^4*(
q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), 1/4*q^12*(q-1)
^4*(q+1)^4*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), 1/
4*q^12*(q-1)^4*(q+1)^4*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^
4-q^2+1), 1/3*q^12*(q-1)^4*(q+1)^4*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^2*
(q^4+1)*(q^4-q^2+1), 1/2*q^16*(q-1)^3*(q+1)^3*(q^2+q+1)^2*(q^2+1)^2*(
q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), 1/2*q^16*(q-1)^3*(q+1)^3*(q^2+q+1)^2*
(q^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), 1/2*q^15*(q-1)^3*(q+1)^4*(
q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), 1/2*q^15*(q-1)
^4*(q+1)^3*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), q
^16*(q-1)^4*(q+1)^4*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q
^2+1), 1/2*q^18*(q-1)^4*(q+1)^4*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q
^4+1)*(q^4-q^2+1), 1/2*q^18*(q-1)^4*(q+1)^4*(q^2+q+1)^2*(q^2+1)^2*(q
^2-q+1)^2*(q^4+1)*(q^4-q^2+1), 1/2*q^20*(q-1)^4*(q+1)^4*(q^2+q+1)^2*(
q^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), 1/2*q^20*(q-1)^4*(q+1)^4*(q
^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1)], 

 [[`\\emptyset`], (q+1
)^4*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), (q+1)^4*(
q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), (q^2-q+1)*(2*q
^4+1)*(q^2+q+1)*(q^2+1)^2*(q+1)^4, (q^2+q+1)*(q^2+1)*(6*q^7+5*q^6+5*q
^5+3*q^4+2*q^3+q^2+q+1)*(q+1)^2, (q^2+q+1)*(q^2-q+1)*(2*q^4+q^3+q^2+q
+1)*(q^2+1)*(q+1)^3, (9*q^8+14*q^7+15*q^6+12*q^5+9*q^4+6*q^3+4*q^2+2*q
+1)*(q+1)^2, (q^2-q+1)*(q^2+q+1)*(q^2+1)^2*(q+1)^4, (q+1)*(8*q^8+13*q^7
+15*q^6+15*q^5+13*q^4+10*q^3+6*q^2+3*q+1), (4*q^4+3*q^3+3*q^2+q+1)*(q+1
)^3, (q^2+q+1)*(8*q^3+5*q^2+2*q+1)*(q^2-q+1)*(q+1)^2, (q+1)*(6*q^5+14*q
^4+16*q^3+8*q^2+3*q+1), (13*q^4+14*q^3+6*q^2+2*q+1)*(q+1)^2, (q+1)*(5*q
^3+3*q^2+3*q+1)*(q^2+1), (q+1)*(2*q+1)*(10*q^3+8*q^2+q+1), (q+1)*(2*q+1)*(
6*q^3+4*q^2+q+1), 54*q^4+48*q^3+15*q^2+4*q+1, 14*q^4+16*q^3+7*q^2+4*q+1
, (2*q+1)*(10*q^3+7*q^2+2*q+1), (q+1)*(2*q+1)*(2*q^2+q+1), (q+1)*(6*q^3+6*q
^2+3*q+1), (q+1)*(8*q^2+3*q+1), (q+1)*(8*q^2+3*q+1), (2*q+1)*(5*q^2+2*q+1)
, (q+1)*(6*q^2+3*q+1), 9*q^2+4*q+1, 6*q+1, 2*q+1, 1, 1], 

 [[`4A_1`], -(q-1)*(
q+1)^3*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), -(q-1)*
(q+1)^3*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), (q^2+
q+1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, -(q-1)*(q+1)*(q^2+1)*(q^2+q+1)*(4
*q^7+3*q^6+3*q^5+3*q^4+2*q^3+q^2+q+1), (q^2+q+1)*(q^2+1)*(q^2-q+1)*(q
^4+1)*(q+1)^2, -(q+1)*(3*q^9+q^8-q^7-3*q^6-3*q^5-3*q^4-2*q^3-2*q^2-q-
1), (q^2+q+1)*(q^2+1)*(q^2-q+1)*(q^4+1)*(q+1)^2, (3*q^6+3*q^4+2*q^2+1)*
(q+1)^2, (q+1)*(2*q^4+q^3+q^2+q+1)*(q^2+1), -(q-1)*(q+1)*(q^2-q+1)*(4*q^
3+3*q^2+2*q+1)*(q^2+q+1), -(q+1)*(2*q^4-2*q^3-2*q^2-q-1), (q+1)*(3*q^3+q
^2+q+1)*(q^2+1), (q+1)*(3*q^3+q^2+q+1)*(q^2+1), -4*q^4-2*q^5+6*q^3+2*q+
3*q^2+1, 2*q^5+4*q^4+6*q^3+3*q^2+2*q+1, -12*q^4+8*q^3+2*q+1+3*q^2, (2*q
+1)*(2*q^3+3*q^2+1), -2*q^4+4*q^3+2*q+1+3*q^2, (2*q^2+1)*(q+1)^2, (q+1)*
(2*q^2+q+1), 3*q^2+2*q+1, 3*q^2+2*q+1, (2*q+1)*(3*q^2+1), (q+1)*(2*q^2+q+1
), 3*q^2+2*q+1, 2*q+1, 2*q+1, 1, 1], 

 [[`2A_1`], -(q-1)*(q+1)^3*(q^2+q+1)^2
*(q^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), -(q-1)*(q+1)^3*(q^2+q+1)^
2*(q^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), -(q-1)*(q^2+q+1)*(2*q^4+1
)*(q^2-q+1)*(q^2+1)^2*(q+1)^3, -(q+1)*(2*q^6-q^5-2*q^4-q^3+q^2-1)*(q^
2+q+1)*(q^2+1)^2, -(q-1)*(q^2+q+1)*(q^2+1)*(2*q^4+q^3+q^2+q+1)*(q^2-q+1
)*(q+1)^2, -(q+1)*(3*q^9+q^8-q^7-3*q^6-3*q^5-3*q^4-2*q^3-2*q^2-q-1), -
(q-1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)^2*(q+1)^3, 1+2*q+3*q^2+3*q^4+4*q^3+2*
q^5-2*q^7-4*q^9-3*q^8, -(2*q^5-q^4-2*q^2-1)*(q+1)^2, (3*q^2+1)*(q^2-q
+1)*(q^2+q+1)*(q+1)^2, (q+1)*(2*q^4+4*q^3+4*q^2+q+1), -(q+1)*(3*q^5-3*q^
4-6*q^3-4*q^2-q-1), -(q-1)*(3*q^3+3*q^2+3*q+1)*(q^2+1), (2*q^3+6*q^2+1)*
(q+1)^2, -(q+1)*(2*q^4-4*q^3-2*q^2-q-1), (q+1)*(12*q^3+8*q^2+q+1), -4*q^
4+4*q^3+2*q+q^2+1, 2*q^4+8*q^3+2*q+5*q^2+1, -2*q^4+2*q+1+q^2, (q+1)*(2*q
^2+q+1), (q+1)*(4*q^2+q+1), (q+1)*(4*q^2+q+1), 3*q^2+2*q+1, 3*q^2+2*q+1, 3
*q^2+2*q+1, 4*q+1, 1, 1, 1], 

 [[`D_4(a_1)`], (q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2
+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), (q-1)^2*(q+1)^2*(q^2+q+1)^2*(q
^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), (q^2-q+1)*(2*q^4+1)*(q^2+q+1
)*(q-1)^2*(q+1)^2*(q^2+1)^2, (q-1)*(2*q^6-q^5-2*q^4-q^3+q^2-1)*(q^2+q
+1)*(q^2+1)^2, -(q+1)*(2*q^6+q^5-2*q^4+q^3+q^2-1)*(q^2-q+1)*(q^2+1)^2
, (q-1)*(q+1)*(q^8-3*q^6-3*q^4-2*q^2-1), (q^2-q+1)*(q^2+q+1)*(q-1)^2*(q+
1)^2*(q^2+1)^2, 1+q^2-q^4-2*q^6-3*q^8, -(q-1)*(q+1)*(q^2+1)^2, -(q-1)*
(q+1)*(q^2-q+1)*(3*q^2+1)*(q^2+q+1), -(q-1)*(q+1)*(2*q^4+4*q^2+1), 5*q^6-
q^4+3*q^2+1, -(3*q^2-1)*(q^2+1)^2, -2*q^4+5*q^2+1, -(3*q^2+1)*(2*q^2-1
), -2*q^4+7*q^2+1, -10*q^4-q^2+1, -(q-1)*(q+1)*(4*q^2+1), -4*q^4+1-q^2, 
-(q-1)*(q+1)*(2*q^2+1), 3*q^2+1, 3*q^2+1, (q+1)*(2*q^2-q+1), -(q-1)*(2*q^2
+q+1), q^2+1, 2*q+1, -2*q+1, 1, 1], 

 [[`A_2+\\tilde A_2`], (q-1)^2*(q+1)^2*(q^2+q+1)^
2*(q^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), (q-1)^2*(q+1)^2*(q^2+q+1
)^2*(q^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), -(q-1)*(q+1)*(q^2+1)*(q
^2-q+1)*(q^2+q+1)*(q^4+1), -(q-1)*(q+1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4
+1), -(q-1)*(q+1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+1), (q^2+1)*(q^8-q^6+
q^4+1), -(q-1)*(q+1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4+1), -(q^2+1)*(q^6-
q^4-1), (q^2+1)*(q^4+1), -(q-1)*(q+1)*(q^2-q+1)*(q^2+1)*(q^2+q+1), q^2+1
+2*q^6, -(q-1)*(q+1)*(q^2+1)^2, -(q-1)*(q+1)*(q^2+1)^2, -4*q^4+q^2+1, q
^2+1, -10*q^4+1+q^2, -(q-1)*(q+1)*(2*q^2+1), q^2+1, q^2+1, 2*q^4+1+q^2
, q^2+1, q^2+1, q^2+1, q^2+1, q^2+1, 1, 1, 1, 1], 

 [[`F_4(a_1)`], (q-1)^2*(q+
1)^4*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)*(q^4+1)*(q^4-q^2+1), (q-1)^2*(q+
1)^4*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)*(q^4+1)*(q^4-q^2+1), (2*q^4+1)*(
q^2-q+1)*(q-1)^2*(q^2+1)^2*(q+1)^4, -(q-1)*(q^2+q+1)*(q^2+1)*(q^5-q^4+
2*q^3-q+1)*(q+1)^2, (q^2+1)*(2*q^4+q^3+q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)
^3, -(q-1)*(q^4+q^3+1)*(q^2+1)*(q+1)^2, (q^2-q+1)*(q-1)^2*(q^2+1)^2*(q
+1)^4, (q-1)*(q+1)*(2*q^7-2*q^3-q^2-q-1), (q-1)*(q^3-2*q^2+q-1)*(q+1)^3
, -(q^2+q+1)*(q^2-q+1)*(q^3-2*q^2+q-1)*(q+1)^2, -(q+1)*(q^4-q^3-2*q^2-1
), -(q-1)*(2*q^3+3*q^2+1)*(q+1)^2, (q+1)*(2*q+1)*(q^2+1)*(q-1)^2, -(q+1)*(
q^4-2*q^3-4*q^2-1), -(q-1)*(q+1)*(3*q^3+q^2+q+1), (q+1)*(3*q^3+6*q^2+1)
, -(q-1)*(q^3+2*q+1), -q^4+1+3*q^3+q+2*q^2, (q-1)*(q+1)*(q^2-q-1), q+1, (q
+1)*(2*q^2+1), (q+1)*(2*q^2+1), -(q-1)*(2*q^2+2*q+1), q+1, q+1, 3*q+1, -q+1
, 1, 1], 

 [[`\\tilde A_2`], (q-1)^2*(q+1)^4*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)*(q
^4+1)*(q^4-q^2+1), (q-1)^2*(q+1)^4*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)*(q
^4+1)*(q^4-q^2+1), -(q-1)*(q^2+q+1)*(q^2+1)*(q^4-q^2+1)*(q^2-q+1)^2*(q
+1)^3, (3*q^7+2*q^6+2*q^5+3*q^4+2*q^3+q^2+q+1)*(q^2+1)*(q-1)^2*(q+1)^
2, -(q-1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^3-q+1)*(q+1)^3, -(q-1)*(q^4+q^3
+1)*(q^2+1)*(q+1)^2, (q^2+q+1)*(q^4-q^2+1)*(q+1)^2*(q^2-q+1)^2, -(q+1)*
(q^8-q^7-q^4-q^3-1), (q+1)*(q^4+q+1)*(q^2-q+1), (2*q^3+2*q^2+2*q+1)*(q
^2-q+1)*(q-1)^2*(q+1)^2, -(q-1)*(q+1)*(q^3+q+1), -(q-1)*(2*q^3+1)*(q+1)^2
, (q+1)*(2*q^3+1)*(q^2+1), -(q-1)*(q+1)*(q^3-q^2+q+1), -(q-1)*(q+1)*(3*q^3
+q^2+q+1), (q+1)*(3*q^3-3*q^2+1), -q^4+4*q^3+q^2+q+1, -(q-1)*(q^3+q^2+2
*q+1), (q+1)*(q^3+q^2+1), q+1, -(q-1)*(q+1)^2, -(q-1)*(q+1)^2, (2*q+1)*(2*q
^2-q+1), q+1, q+1, 1, 2*q+1, 1, 1], 

 [[`C_3+A_1`], (q-1)^2*(q+1)^4*(q^2+q+1)^
2*(q^2-q+1)^2*(q^2+1)*(q^4+1)*(q^4-q^2+1), (q-1)^2*(q+1)^4*(q^2+q+1)^
2*(q^2-q+1)^2*(q^2+1)*(q^4+1)*(q^4-q^2+1), -(q-1)*(q^2-q+1)*(q^2+q+1)*(
q^4+1)*(q+1)^3, (q-1)*(q^2+q+1)*(2*q^8-q^7-q^4-q^3-1)*(q+1)^2, (1+q-2*q
^3-q^4+q^5+2*q^6)*(q^2-q+1)^2*(q+1)^3, (q-1)*(q^7-q^6-2*q^5-2*q^4-q
^3-q^2-q-1)*(q+1)^2, -(q-1)*(q^2-q+1)*(q^2+q+1)*(q^4+1)*(q+1)^3, -(q^6-
q^4-1)*(q+1)^2, -(q-1)*(2*q^4+q^3+q^2+q+1)*(q+1)^2, -(q-1)*(q^2-q+1)*(q
^2+q+1)*(q+1)^3, -(q-1)*(q+1)*(2*q^4+2*q^3+2*q^2+2*q+1), -(q^4-2*q^3-1)*
(q+1)^2, -(q^4-2*q^3-1)*(q+1)^2, -(q+1)*(2*q^4-2*q^3-q-1), (2*q^3+1)*(q+
1)^2, -(q^2-2*q-1)*(2*q^2+1), 6*q^4+4*q^3+q^2+2*q+1, (q+1)^2, (q+1)^2, 
-(q-1)*(q+1)*(2*q^2+2*q+1), (q+1)^2, (q+1)^2, (q+1)^2, (q+1)^2, (q+1)^2, 
2*q+1, 2*q+1, 1, 1], 

 [[`A_2`], -(q-1)^3*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)
^2*(q+1)*(q^4+1)*(q^4-q^2+1), -(q-1)^3*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1
)^2*(q+1)*(q^4+1)*(q^4-q^2+1), (q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1
)^2, (q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1)*(q-1)^2, (q-1)*(q+1)*(q^2-q+1)*
(q^2+1)*(4*q^7-3*q^6+3*q^5-3*q^4+2*q^3-q^2+q-1), -(q-1)*(3*q^9-q^8-q^
7+3*q^6-3*q^5+3*q^4-2*q^3+2*q^2-q+1), (q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^4
+1)*(q-1)^2, (3*q^6+3*q^4+2*q^2+1)*(q-1)^2, -(q-1)*(2*q^4-q^3+q^2-q+1)*
(q^2+1), (q-1)*(q+1)*(q^2-q+1)*(4*q^3-3*q^2+2*q-1)*(q^2+q+1), (q-1)*(2*q^
4+2*q^3-2*q^2+q-1), (q-1)*(3*q^3-q^2+q-1)*(q^2+1), (q-1)*(3*q^3-q^2+q-1)
*(q^2+1), -4*q^4+2*q^5-6*q^3+3*q^2-2*q+1, -2*q^5+4*q^4-6*q^3+3*q^2-2*q
+1, -12*q^4-8*q^3+3*q^2-2*q+1, (2*q-1)*(2*q^3-3*q^2-1), -2*q^4-4*q^3+3*q
^2-2*q+1, (2*q^2+1)*(q-1)^2, -(q-1)*(2*q^2-q+1), 3*q^2-2*q+1, 3*q^2-2*q+1
, -(q-1)*(2*q^2-q+1), -(2*q-1)*(3*q^2+1), 3*q^2-2*q+1, -2*q+1, -2*q+1, 1, 1]
, 

 [[`D_4`], -(q-1)^3*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q+1)*(q^4+1)
*(q^4-q^2+1), -(q-1)^3*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q+1)*(q^4+1
)*(q^4-q^2+1), -(q+1)*(q^2+q+1)*(2*q^4+1)*(q^2-q+1)*(q^2+1)^2*(q-1)^3, 
(q+1)*(q^2-q+1)*(q^2+q+1)*(2*q^4-q^3+q^2-q+1)*(q^2+1)*(q-1)^2, (q-1)*(2*
q^6+q^5-2*q^4+q^3+q^2-1)*(q^2-q+1)*(q^2+1)^2, -(q-1)*(3*q^9-q^8-q^7+
3*q^6-3*q^5+3*q^4-2*q^3+2*q^2-q+1), -(q+1)*(q^2+q+1)*(q^2-q+1)*(q^2+1)
^2*(q-1)^3, 1-2*q+3*q^2+3*q^4-4*q^3-2*q^5-3*q^8+2*q^7+4*q^9, (2*q^5+q
^4+2*q^2+1)*(q-1)^2, (3*q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2, -(q-1)*(2*q
^4-4*q^3+4*q^2-q+1), -(q-1)*(3*q^5+3*q^4-6*q^3+4*q^2-q+1), -(q+1)*(3*q^
3-3*q^2+3*q-1)*(q^2+1), -(2*q^3-6*q^2-1)*(q-1)^2, (q-1)*(2*q^4+4*q^3-2*q
^2+q-1), (q-1)*(12*q^3-8*q^2+q-1), -4*q^4-4*q^3+q^2-2*q+1, 2*q^4-8*q^3+
5*q^2-2*q+1, -2*q^4+q^2-2*q+1, -(q-1)*(2*q^2-q+1), -(q-1)*(4*q^2-q+1), -(q
-1)*(4*q^2-q+1), 3*q^2-2*q+1, 3*q^2-2*q+1, 3*q^2-2*q+1, 1, -4*q+1, 1, 1], 

 [[`F_4`], -(q-1)^3*(q+1)^3*(q^2+q+1)^2*(q^2-q+1)^2*(q^2+1)*(q^4+1)*(q
^4-q^2+1), -(q-1)^3*(q+1)^3*(q^2+q+1)^2*(q^2-q+1)^2*(q^2+1)*(q^4+1)*(
q^4-q^2+1), -(q^2+q+1)*(q^2-q+1)*(2*q^4+1)*(q^2+1)*(q-1)^3*(q+1)^3, (q+
1)*(q^5-q^4+2*q^3-q+1)*(q-1)^2*(q^2+q+1)^2, (q-1)*(q^5+q^4+2*q^3-q-1)*
(q+1)^2*(q^2-q+1)^2, (q^6+2*q^4+q^2+1)*(q-1)^2*(q+1)^2, -(q^2+1)*(q^2
+q+1)*(q^2-q+1)*(q-1)^3*(q+1)^3, (q-1)*(q+1)*(q^6+q^4-1), (q-1)^2*(q+1)^
2*(q^2+1), -(q-1)*(q+1)*(q^2-q+1)*(q^2+1)*(q^2+q+1), -(q-1)*(q+1)*(2*q^2+1
), (q-1)*(q+1)*(q^4-2*q^2-1), (q-1)*(q+1)*(q^4+2*q^2-1), -2*q^4+3*q^2+1, 
-(q^2+1)*(2*q^2-1), 1+5*q^2, 1-3*q^2, -(q-1)*(q+1)*(2*q^2+1), (q-1)*(q+1)*
(2*q^2-1), -(q-1)*(q+1), q^2+1, q^2+1, -(q-1)*(q+1), -(q-1)*(q+1), -(q-1)*(q
+1), 2*q+1, -2*q+1, 1, 1], 

 [[`A_1+\\tilde A_1`], -(q-1)^3*(q+1)^3*(q^2+q+1)^2*(q^2-
q+1)^2*(q^2+1)*(q^4+1)*(q^4-q^2+1), -(q-1)^3*(q+1)^3*(q^2+q+1)^2*(q^2
-q+1)^2*(q^2+1)*(q^4+1)*(q^4-q^2+1), (q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)
^2*(q+1)^2, -(q+1)*(q^2+q+1)*(2*q^8-q^7-q^4-q^3-1)*(q-1)^2, (q-1)*(q^2
-q+1)*(2*q^8+q^7-q^4+q^3-1)*(q+1)^2, (q^6+2*q^4+q^2+1)*(q-1)^2*(q+1)^
2, (q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q+1)^2, -q^2+1-q^8-2*q^6+q^4, 
-(q-1)*(q+1)*(q^4+1), (q-1)^2*(q+1)^2*(q^2+q+1)*(q^2-q+1), -(q-1)*(q+1), -
(q-1)*(q+1)*(q^4+1), -(q-1)*(q+1)*(q^4+1), -(q-1)*(q+1), -(q-1)*(q+1), -(q-1)
*(q+1), -(q-1)*(q+1), 2*q^4-q^2+1, -(q^2+1)*(2*q^2-1), -(q-1)*(q+1), -(q-1)
*(q+1), -(q-1)*(q+1), 2*q^3-q^2+1, -2*q^3-q^2+1, -(q-1)*(q+1), 1, 1, 1, 1]
, 

 [[`B_2`], -(q-1)^3*(q+1)^3*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)*(q^4+1)
*(q^4-q^2+1), -(q-1)^3*(q+1)^3*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)*(q^4+1
)*(q^4-q^2+1), (q^2+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q+1)^2, (q^2+1)*(q^2
+q+1)*(q^4+1)*(q-1)^2*(q+1)^2, -(q-1)*(q^2-q+1)*(1+q-2*q^3-q^4+q^5+2*q^
6)*(q^2+1)*(q+1)^2, (q-1)*(q+1)*(q^7-q^2-q-1), (q^2+1)*(q^2+q+1)*(q^4+1)
*(q-1)^2*(q+1)^2, -(q-1)*(q+1)*(q^2+q+1), (q-1)*(q+1)*(q^3-q-1)*(q^2+1), (
q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^3-q-1), -(q-1)*(q^4+q^3+2*q^2+2*q+1), -
(q-1)*(q^2+1)*(q+1)^2, -(q-1)*(q^2+1)*(q+1)^2, -(q-1)*(q^2+1)*(q+1)^2, (q
+1)*(q^4+1), -(q-1)*(3*q^3+2*q^2+2*q+1), (q+1)^2*(q^2-q+1), q^4+1-q^3+q
, -(q-1)*(q+1)*(q^2+q+1), -(q-1)*(2*q^2+2*q+1), q+1, q+1, -(q-1)*(2*q^2+2*q+
1), q+1, q+1, q+1, q+1, 1, 1], 

 [[`A_3+\\tilde A_1`], -(q-1)^3*(q+1)^3*(q^2+q+1)^2*(q
^2+1)^2*(q^2-q+1)*(q^4+1)*(q^4-q^2+1), -(q-1)^3*(q+1)^3*(q^2+q+1)^2*(
q^2+1)^2*(q^2-q+1)*(q^4+1)*(q^4-q^2+1), (q^2-q+1)*(q^2+1)*(q^4-q^2+1)
*(q-1)^2*(q+1)^2*(q^2+q+1)^2, -(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^3-q-1)*(q
-1)^2*(q+1)^2, -(q-1)*(q^4-q^3+q^2+1)*(q^2+1)*(q^4-q^2+1)*(q+1)^2, (q-
1)*(q+1)*(q^7-q^2-q-1), -(q-1)*(q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^2+q+1)^2, 
(q+1)*(q^8-q^7+q^4-q^3+1), -(q-1)*(q^4+q+1)*(q^2+q+1), (q^2+q+1)*(q-1)^
2*(q+1)^2, (q-1)*(q+1)*(q^3-q-1), -(q-1)*(q+1)^2, (q+1)*(q^2+1), (q-1)^2*(
q+1)^3, -(q-1)*(q^2+1)*(q+1)^2, (q-1)*(3*q^3+q^2-2*q-1), -q^4+2*q^3+q^2
+q+1, -(q+1)*(q^3+q^2-1), q^4+q^2+q+1, -(q-1)*(2*q^2+2*q+1), -(q-1)*(q+1)
^2, -(q-1)*(q+1)^2, q+1, q+1, q+1, 1, 2*q+1, 1, 1], 

 [[`B_4`], -(q-1)^3*(q
+1)^3*(q^2+q+1)*(q^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), -(q-1)^3*(
q+1)^3*(q^2+q+1)*(q^2+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), (q^2+1)*(
q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2, (q+1)*(q^2+q+1)*(2*q^6-q^5-q^4+2*q^3
-q+1)*(q^2+1)*(q-1)^2, (q^2+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2, -(q-1)
*(q+1)*(q^7+q^2-q+1), (q^2+1)*(q^2-q+1)*(q^4+1)*(q-1)^2*(q+1)^2, -(q-1)*
(q+1)*(q^2-q+1), -(q-1)*(q+1)*(q^3-q+1)*(q^2+1), -(q-1)*(q+1)*(q^2+q+1)*(q
^2-q+1)*(q^3-q+1), (q+1)*(q^4-q^3+2*q^2-2*q+1), (q-1)^2*(q+1)*(q^2+1), (
q-1)^2*(q+1)*(q^2+1), (q-1)^2*(q+1)*(q^2+1), -(q-1)*(q^4+1), -(q+1)*(3*q^
3-2*q^2+2*q-1), (q^2+q+1)*(q-1)^2, -q+q^4+q^3+1, -(q-1)*(q+1)*(q^2-q+1), 
(q+1)*(2*q^2-2*q+1), -q+1, -q+1, -q+1, (q+1)*(2*q^2-2*q+1), -q+1, -q+1, -q+1
, 1, 1], 

 [[`\\tilde A_1`], -(q-1)^3*(q+1)^3*(q^2+q+1)*(q^2+1)^2*(q^2-q+1)^2*(
q^4+1)*(q^4-q^2+1), -(q-1)^3*(q+1)^3*(q^2+q+1)*(q^2+1)^2*(q^2-q+1)^2*
(q^4+1)*(q^4-q^2+1), (q^2+1)*(q^2+q+1)*(q^4-q^2+1)*(q-1)^2*(q+1)^2*(q
^2-q+1)^2, (q+1)*(q^4+q^3+q^2+1)*(q^2+1)*(q^4-q^2+1)*(q-1)^2, (q^2+1)
*(q^2+q+1)*(q^2-q+1)*(q^3-q+1)*(q-1)^2*(q+1)^2, -(q-1)*(q+1)*(q^7+q^2-q+
1), -(q-1)*(q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^2-q+1)^2, -(q-1)*(q^8+q^7+q^4
+q^3+1), (q+1)*(q^2-q+1)*(q^4-q+1), (q-1)^2*(q+1)^2*(q^2-q+1), -(q-1)*(q+
1)*(q^3-q+1), (q-1)^2*(q+1), -(q-1)*(q^2+1), -(q-1)^3*(q+1)^2, (q-1)^2*(q
+1)*(q^2+1), (q+1)*(3*q^3-q^2-2*q+1), -q^4-2*q^3+q^2-q+1, -(q-1)*(q^3-q
^2+1), q^4+q^2-q+1, (q+1)*(2*q^2-2*q+1), (q-1)^2*(q+1), (q-1)^2*(q+1), -q
+1, -q+1, -q+1, -2*q+1, 1, 1, 1], 

 [[`2A_1+\\tilde A_1`],(q-1)^4*(q^2+q+1)^2*(q^2+1)
^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), (q-1)^4*(q^2+q+1)^2*(q^2+1)^2*(q
^2-q+1)^2*(q^4+1)*(q^4-q^2+1), (q-1)^4*(q^2+q+1)*(q^2+1)^2*(q^2-q+1)*
(2*q^4+1), -(q-1)^3*(q^2+q+1)*(q^2+1)*(q^2-q+1)*(2*q^4-q^3+q^2-q+1), -(
q-1)^2*(q^2+1)*(q^2-q+1)*(6*q^7-5*q^6+5*q^5-3*q^4+2*q^3-q^2+q-1), (q-1
)^2*(9*q^8-14*q^7+15*q^6-12*q^5+9*q^4-6*q^3+4*q^2-2*q+1), (q-1)^4*(q^
2+q+1)*(q^2+1)^2*(q^2-q+1), -(q-1)*(8*q^8-13*q^7+15*q^6-15*q^5+13*q^4-
10*q^3+6*q^2-3*q+1), -(q-1)^3*(4*q^4-3*q^3+3*q^2-q+1), -(q-1)^2*(q^2+q+
1)*(q^2-q+1)*(8*q^3-5*q^2+2*q-1), (q-1)*(6*q^5-14*q^4+16*q^3-8*q^2+3*q-1
), (q-1)^2*(13*q^4-14*q^3+6*q^2-2*q+1), (q-1)*(q^2+1)*(5*q^3-3*q^2+3*q-1
), -(q-1)*(2*q-1)*(10*q^3-8*q^2+q-1), -(q-1)*(2*q-1)*(6*q^3-4*q^2+q-1), 54*
q^4-48*q^3+15*q^2-4*q+1, 14*q^4-16*q^3+7*q^2-4*q+1, (2*q-1)*(10*q^3-7*q
^2+2*q-1), (q-1)*(2*q-1)*(2*q^2-q+1), (q-1)*(6*q^3-6*q^2+3*q-1), -(q-1)*(8*
q^2-3*q+1), -(q-1)*(8*q^2-3*q+1), -(q-1)*(6*q^2-3*q+1), -(2*q-1)*(5*q^2-2*q
+1), 9*q^2-4*q+1, -2*q+1, -6*q+1, 1, 1], 

 [[`A_1`], (q-1)^4*(q+1)^4*(q^2+
1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), (q-1)^4*(q+1)^4*(q^2+1)^2*(q^2
-q+1)^2*(q^4+1)*(q^4-q^2+1), -(q-1)^3*(q+1)^3*(q^2+1)*(q^2-q+1)^2*(q^
4-q^2+1), -(q-1)^3*(q+1)^2*(q^2+1)*(3*q^6-2*q^5-q^4+2*q^3-q+1), -(q-1)
^3*(q+1)^3*(q^2+1)*(q^2-q+1)*(q^3-q+1), (q-1)^2*(q+1)^2*(2*q^5-2*q^4+2
*q^2-2*q+1), (q-1)^2*(q+1)^2*(q^2-q+1)^2*(q^4-q^2+1), (q-1)^2*(q+1)*(2*
q^6-q^5-q^4+2*q^3-q+1), -(q-1)*(q+1)*(q^2-q+1)*(2*q^3-q^2-q+1), (q-1)^2
*(q+1)^2*(q^2-q+1)*(2*q^3-q^2-q+1), (q-1)^2*(q+1)*(3*q^3-q^2-q+1), (q-1)
^4*(q+1)^2, -(q-1)^3*(q+1)*(q^2+1), -(q-1)*(q+1)*(4*q^3-q^2-2*q+1), -(q-1
)^3*(q+1), (q+1)*(6*q^3-3*q+1), (q-1)*(2*q^3+q-1), -(q-1)*(4*q^3-2*q^2-q+1
), -(q-1)*(q+1)*(2*q^2-2*q+1), -6*q^4+6*q^3-2*q+1, (q-1)*(q+1)*(2*q-1), (q-1
)*(q+1)*(2*q-1), (q-1)*(q^2+q-1), (q+1)*(3*q^2-3*q+1), -2*q+1, -3*q+1, -q+1, 
1, 1], 

 [[`3A_1`], (q-1)^4*(q+1)^2*(q^2+q+1)^2*(q^2+1)*(q^2-q+1)^2*(q^
4+1)*(q^4-q^2+1), (q-1)^4*(q+1)^2*(q^2+q+1)^2*(q^2+1)*(q^2-q+1)^2*(q^
4+1)*(q^4-q^2+1), -(q-1)^3*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), -(q-1)^3*(
q^2+q+1)^2*(2*q^6-q^5-q^4+2*q^3-q+1), -(q-1)^2*(q+1)*(q^2-q+1)*(2*q^8+
q^7-q^4+q^3-1), (q-1)^2*(q+1)*(q^7+q^6-2*q^5+2*q^4-q^3+q^2-q+1), -(q-
1)^3*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^4+1), -(q-1)^2*(q^6-q^4-1), (q-1)^2*(
q+1)*(2*q^4-q^3+q^2-q+1), -(q-1)^3*(q+1)*(q^2+q+1)*(q^2-q+1), -(q-1)*(q+1
)*(2*q^4-2*q^3+2*q^2-2*q+1), -(q-1)^2*(q^4+2*q^3-1), -(q-1)^2*(q^4+2*q
^3-1), (q-1)*(2*q^4+2*q^3+q-1), -(q-1)^2*(2*q^3-1), -(2*q^2+1)*(q^2+2*q-
1), 6*q^4-4*q^3+q^2-2*q+1, (q-1)^2, (q-1)^2, -(q-1)*(q+1)*(2*q^2-2*q+1), 
(q-1)^2, (q-1)^2, (q-1)^2, (q-1)^2, (q-1)^2, -2*q+1, -2*q+1, 1, 1], 

 [[`B_2+A_1`],
 (q-1)^4*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)*(q^4+1)*(q^4-q
^2+1), (q-1)^4*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)*(q^4+1)*(q^4-q
^2+1), -(q-1)^3*(q+1)*(q^2+q+1)^2*(q^2+1)*(q^2-q+1)*(q^4-q^2+1), (q-1)
^3*(q+1)*(q^2+q+1)*(q^2+1)*(q^2-q+1)*(q^3-q-1), -(q-1)^2*(q+1)^2*(q^2+1
)*(3*q^7-2*q^6+2*q^5-3*q^4+2*q^3-q^2+q-1), (q-1)^2*(q+1)*(q^2+1)*(q^4-
q^3+1), (q-1)^2*(q^2+q+1)^2*(q^2-q+1)*(q^4-q^2+1), (q-1)*(q^8+q^7-q^4
+q^3-1), -(q-1)*(q^2+q+1)*(q^4-q+1), -(q-1)^2*(q+1)^2*(q^2+q+1)*(2*q^3-2
*q^2+2*q-1), (q-1)*(q+1)*(q^3+q-1), -(q-1)^2*(q+1)*(2*q^3-1), (q-1)*(q^2+1
)*(2*q^3-1), (q-1)*(q+1)*(q^3+q^2+q-1), (q-1)*(q+1)*(3*q^3-q^2+q-1), (q-1)
*(3*q^3+3*q^2-1), -q^4-4*q^3+q^2-q+1, -(q+1)*(q^3-q^2+2*q-1), (q-1)*(q^
3-q^2-1), -q+1, (q-1)^2*(q+1), (q-1)^2*(q+1), -q+1, -(2*q-1)*(2*q^2+q+1), -
q+1, -2*q+1, 1, 1, 1], 

 [[`A_3`], (q-1)^4*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2
*(q^2-q+1)*(q^4+1)*(q^4-q^2+1), (q-1)^4*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2
*(q^2-q+1)*(q^4+1)*(q^4-q^2+1), (q-1)^4*(q+1)^2*(q^2+q+1)*(q^2+1)^2*(2
*q^4+1), -(q-1)^3*(q+1)^2*(q^2+q+1)*(q^2+1)*(2*q^4-q^3+q^2-q+1), -(q-1)
^2*(q+1)*(q^2+1)*(q^2-q+1)*(q^5+q^4+2*q^3-q-1), (q-1)^2*(q+1)*(q^2+1)*(
q^4-q^3+1), (q-1)^4*(q+1)^2*(q^2+q+1)*(q^2+1)^2, -(q-1)*(q+1)*(2*q^7-2*
q^3+q^2-q+1), -(q-1)^3*(q+1)*(q^3+2*q^2+q+1), (q-1)^2*(q^2+q+1)*(q^2-q+
1)*(q^3+2*q^2+q+1), (q-1)*(q^4+q^3-2*q^2-1), -(q-1)^2*(q+1)*(2*q^3-3*q^
2-1), (q-1)*(q+1)^2*(q^2+1)*(2*q-1), (q-1)*(q^4+2*q^3-4*q^2-1), (q-1)*(q+1
)*(3*q^3-q^2+q-1), (q-1)*(3*q^3-6*q^2-1), -(q+1)*(q^3+2*q-1), -q^4-3*q^3
+2*q^2-q+1, (q-1)*(q+1)*(q^2+q-1), -q+1, -(q-1)*(2*q^2+1), -(q-1)*(2*q^2+1)
, -q+1, (q+1)*(2*q^2-2*q+1), -q+1, q+1, -3*q+1, 1, 1], 

 [[`B_3`], (q-1)^4*(
q+1)^4*(q^2+q+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), (q-1)^4*(q+1)^4*(
q^2+q+1)^2*(q^2-q+1)^2*(q^4+1)*(q^4-q^2+1), (q-1)^4*(q+1)^4*(q^2+q+1)
*(q^2-q+1)*(2*q^4+1), (q-1)^3*(q+1)^2*(q^2+q+1)*(2*q^6-q^5-2*q^4-q^3+q
^2-1), -(q-1)^2*(q+1)^3*(q^2-q+1)*(2*q^6+q^5-2*q^4+q^3+q^2-1), -(q-1)
^2*(q+1)^2*(3*q^6-2*q^4+q^2-1), (q-1)^4*(q+1)^4*(q^2+q+1)*(q^2-q+1), (
q-1)*(q+1)*(q^3-q^2+1)*(q^3+q^2-1), -(q-1)^3*(q+1)^3, (q-1)^2*(q+1)^2*(
q^2+q+1)*(q^2-q+1), (q-1)*(q+1)*(2*q^4-1), (q-1)^2*(q+1)^2*(q^2+1), -(q-1
)*(q+1)*(7*q^4-4*q^2+1), -(q-1)*(q+1)*(2*q^2+1), (q-1)*(q+1)*(2*q^2-1), (q
^2+1)*(2*q^2+1), 10*q^4-5*q^2+1, -(q-1)*(q+1), 8*q^4-5*q^2+1, (q-1)*(q+1)
*(2*q^2-1), -(q-1)*(q+1), -(q-1)*(q+1), (q-1)^2*(2*q+1), -(q+1)^2*(2*q-1), 1
-3*q^2, 2*q+1, -2*q+1, 1, 1], 

 [[`A_2+\\tilde A_1`], (q-1)^4*(q+1)^4*(q^2+q+1)^2*(q
^2+1)^2*(q^2-q+1)^2*(q^4-q^2+1), (q-1)^4*(q+1)^4*(q^2+q+1)^2*(q^2+1)
^2*(q^2-q+1)^2*(q^4-q^2+1), -(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^3*(q+1)
^3, -(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^3*(q+1)^3, -(q^2+1)*(q^2+q+1)*(q
^2-q+1)*(q-1)^3*(q+1)^3, -(q-1)^2*(q+1)^2*(q^6-q^2-1), -(q^2+1)*(q^2+q
+1)*(q^2-q+1)*(q-1)^3*(q+1)^3, (q-1)*(q+1)*(q^6+q^4-1), (q-1)^2*(q+1)^2*
(q^2+1), (q-1)^2*(q+1)^2*(q^2+q+1)*(q^2-q+1), -(q-1)*(q+1), (q-1)^2*(q+1)
^2*(q^2+1), (q-1)^2*(q+1)^2*(q^2+1), -(q-1)*(q+1), -(q-1)*(q+1), -(q-1)*(q
+1), -(q-1)*(q+1), 2*q^4-q^2+1, -(q^2+1)*(2*q^2-1), -(q-1)*(q+1), -(q-1)*(q
+1), -(q-1)*(q+1), -(q-1)*(q+1), -(q-1)*(q+1), -(q-1)*(q+1), 1, 1, 1, 1], 

 [[`\\tilde A_2+A_1`], (q-1)^4*(q+1)^4*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^4+1),
(q-1)^4*(q+1)^4*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q^4+1), -(q-1)^3*(q+1
)^3*(q^2+q+1)^2*(q^2+1)*(q^2-q+1)^2, -(q-1)^3*(q+1)^2*(q^2+q+1)*(q^2+
1)*(q^4+q^3+q^2+1), (q-1)^2*(q+1)^3*(q^2+1)*(q^2-q+1)*(q^4-q^3+q^2+1)
, (q-1)^2*(q+1)^2*(2*q^4+2*q^2+1), (q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2-q+
1)^2, (q-1)*(q+1)*(q^6-q^4-q^2-1), -(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1), (q-1
)^2*(q+1)^2*(q^2+q+1)*(q^2-q+1), -(q-1)*(q+1)*(q^4+1), (q-1)^2*(q+1)^2*(
q^2+1), -(q-1)*(q+1)*(q^2+1)^2, (q-1)^2*(q+1)^2, -(q-1)*(q+1)*(q^2+1), (q
-1)*(q+1)*(2*q^2-1), -(q-1)*(q+1)*(2*q^2+1), -(q-1)*(q+1), 2*q^4+1+q^2, 2*q
^4+1, -(q-1)*(q+1), -(q-1)*(q+1), -(q-1)*(q^2+q+1), (q+1)*(q^2-q+1), 1, -q+1
, q+1, 1, 1], 

 [[`C_3`], (q-1)^4*(q+1)^4*(q^2+q+1)^2*(q^2+1)^2*(q^4+1)
*(q^4-q^2+1), (q-1)^4*(q+1)^4*(q^2+q+1)^2*(q^2+1)^2*(q^4+1)*(q^4-q^2
+1), -(q-1)^3*(q+1)^3*(q^2+q+1)^2*(q^2+1)*(q^4-q^2+1), (q-1)^3*(q+1)^3
*(q^2+q+1)*(q^2+1)*(q^3-q-1), (q-1)^2*(q+1)^3*(q^2+1)*(3*q^6+2*q^5-q^4
-2*q^3+q+1), -(q-1)^2*(q+1)^2*(2*q^5+2*q^4-2*q^2-2*q-1), (q-1)^2*(q+1)^
2*(q^2+q+1)^2*(q^4-q^2+1), -(q-1)*(q+1)^2*(1+q-2*q^3-q^4+q^5+2*q^6), (
q-1)*(q+1)*(q^2+q+1)*(2*q^3+q^2-q-1), -(q-1)^2*(q+1)^2*(q^2+q+1)*(2*q^3+
q^2-q-1), (q-1)*(q+1)^2*(3*q^3+q^2-q-1), (q-1)^2*(q+1)^4, -(q-1)*(q+1)^3
*(q^2+1), (q-1)*(q+1)*(4*q^3+q^2-2*q-1), -(q-1)*(q+1)^3, (q-1)*(6*q^3-3*q-
1), (q+1)*(2*q^3+q+1), -(q+1)*(4*q^3+2*q^2-q-1), -(q-1)*(q+1)*(2*q^2+2*q+1)
, -6*q^4-6*q^3+2*q+1, -(q-1)*(q+1)*(2*q+1), -(q-1)*(q+1)*(2*q+1), -(q-1)*(3*q
^2+3*q+1), -(q+1)*(q^2-q-1), 2*q+1, q+1, 3*q+1, 1, 1]
]):

KlassentypOrdE6e2002green:=array(1..28,[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]):

NurPolynomE6e2002green:=true:

# 5) Informationen:
Information.`E6e2002green`:=TEXT(
`- Information about the Green functions of $E_6(2^n):2$.`,
``,
`- CHEVIE-name of the table: ``E6e2green```,
``,
`- The table was first computed in:`,
`  {\\sc G. Malle}, Green functions for groups of types E_6 and F_4 in`,
`    characteristic 2, {\\em Comm. Algebra \\bf21} (1993), 747--798.`,
``,
`- The notation for the unipotent classes is as in that paper.`,
``
):


g := `E6e2green`;
print(`g := ``E6e2green`` `);
