#############################################################################
##
#F                             CHEVIE library
##
#Y  Copyright 1992--1993,  Lehrstuhl D f"ur Mathematik,    RWTH Aachen,   and
#Y                         IWR   der   Universit"at    Heidelberg,   Germany.
##
# Orthogonalitaet 
#############################################################################
#                                                                           #
#   Die Greenfunktionen der F_4(q) 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(`*                    Green Functions of F_4(q)  in char 2                *`);
lprint(`*                                                                        *`);
lprint(`*                                                                        *`);
lprint(`**************************************************************************`);

# Wertetafel

`F4p2green` := array(-2..25, -1..35,[

 [`F_4(q)`, `F4002green` , 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, 35, 35],

 [`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}`, `u_{28}`, `u_{29}`,
  `u_{30}`, `u_{31}`, `u_{32}`, `u_{33}`, `u_{34}` ],

 [`classlength`, 1, 1,
(q-1)*(q^2+q+1)*(q+1)*(1-q+q^2)*(q^2+1)*(q^4-q^2+1)*(q^4+1),
(q-1)*(q^2+q+1)*(q+1)*(1-q+q^2)*(q^2+1)*(q^4-q^2+1)*(q^4+1),
(q-1)^2*(q^2+q+1)^2*(q+1)^2*(1-q+q^2)^2*(q^2+1)*(q^4-q^2+1)*(q^4+1),
(q-1)^2*(q^2+q+1)^2*(q+1)^2*(1-q+q^2)^2*(q^2+1)^2*(q^4-q^2+1)*(q^4+1)*q^4,
1/2*(q-1)^2*(q^2+q+1)*(q+1)^3*(1-q+q^2)^2*(q^2+1)^2*(q^4-q^2+1)*(q^4+1)*q^7,
1/2*(q-1)^3*(q^2+q+1)^2*(q+1)^2*(1-q+q^2)*(q^2+1)^2*(q^4-q^2+1)*(q^4+1)*q^7,
1/2*(q-1)^2*(q^2+q+1)*(q+1)^3*(1-q+q^2)^2*(q^2+1)^2*(q^4-q^2+1)*(q^4+1)*q^7,
1/2*(q-1)^3*(q^2+q+1)^2*(q+1)^2*(1-q+q^2)*(q^2+1)^2*(q^4-q^2+1)*(q^4+1)*q^7,
1/2*(q-1)^2*(q^2+q+1)^2*(q+1)^2*(1-q+q^2)^2*(q^2+1)*(q^4-q^2+1)*(q^4+1)*q^10,
1/2*(q-1)^2*(q^2+q+1)^2*(q+1)^2*(1-q+q^2)^2*(q^2+1)*(q^4-q^2+1)*(q^4+1)*q^10,
q^8*(q-1)^3*(q^2+q+1)^2*(q+1)^3*(1-q+q^2)^2*(q^2+1)^2*(q^4+1)*(q^4-q^2+1),
q^8*(q-1)^3*(q^2+q+1)^2*(q+1)^3*(1-q+q^2)^2*(q^2+1)^2*(q^4+1)*(q^4-q^2+1),
q^10*(q-1)^3*(q^2+q+1)^2*(q+1)^3*(1-q+q^2)^2*(q^2+1)^2*(q^4+1)*(q^4-q^2+1),
q^10*(q-1)^3*(q^2+q+1)^2*(q+1)^3*(1-q+q^2)^2*(q^2+1)^2*(q^4+1)*(q^4-q^2+1),
q^8*(q-1)^4*(q+1)^4*(q^2+q+1)^2*(1-q+q^2)^2*(q^2+1)^2*(q^4+1)*(q^4-q^2+1),
q^10*(q-1)^4*(q+1)^4*(q^2+q+1)^2*(1-q+q^2)^2*(q^2+1)^2*(q^4+1)*(q^4-q^2+1),
1/6*q^12*(q-1)^4*(q+1)^4*(q^2+q+1)^2*(1-q+q^2)^2*(q^2+1)^2*(q^4+1)*(q^4-q^2+1),
1/2*q^12*(q-1)^4*(q+1)^4*(q^2+q+1)^2*(1-q+q^2)^2*(q^2+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*(1-q+q^2)^2*(q^2+1)^2*(q^4+1)*(q^4-q^2+1),
1/2*q^16*(q-1)^3*(q^2+q+1)^2*(q+1)^3*(1-q+q^2)^2*(q^2+1)^2*(q^4+1)*(q^4-q^2+1),
1/2*q^16*(q-1)^3*(q^2+q+1)^2*(q+1)^3*(1-q+q^2)^2*(q^2+1)^2*(q^4+1)*(q^4-q^2+1),
1/2*q^16*(q-1)^3*(q^2+q+1)^2*(q+1)^3*(1-q+q^2)^2*(q^2+1)^2*(q^4+1)*(q^4-q^2+1),
1/2*q^16*(q-1)^3*(q^2+q+1)^2*(q+1)^3*(1-q+q^2)^2*(q^2+1)^2*(q^4+1)*(q^4-q^2+1),
1/8*q^16*(q-1)^4*(q+1)^4*(q^2+q+1)^2*(1-q+q^2)^2*(q^2+1)^2*(q^4+1)*(q^4-q^2+1),
1/4*q^16*(q-1)^4*(q+1)^4*(q^2+q+1)^2*(1-q+q^2)^2*(q^2+1)^2*(q^4+1)*(q^4-q^2+1),
1/8*q^16*(q-1)^4*(q+1)^4*(q^2+q+1)^2*(1-q+q^2)^2*(q^2+1)^2*(q^4+1)*(q^4-q^2+1),
1/4*q^16*(q-1)^4*(q+1)^4*(q^2+q+1)^2*(1-q+q^2)^2*(q^2+1)^2*(q^4+1)*(q^4-q^2+1),
1/4*q^16*(q-1)^4*(q+1)^4*(q^2+q+1)^2*(1-q+q^2)^2*(q^2+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*(1-q+q^2)^2*(q^2+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*(1-q+q^2)^2*(q^2+1)^2*(q^4+1)*(q^4-q^2+1),
1/4*q^20*(q-1)^4*(q+1)^4*(q^2+q+1)^2*(1-q+q^2)^2*(q^2+1)^2*(q^4+1)*(q^4-q^2+1),
1/4*q^20*(q-1)^4*(q+1)^4*(q^2+q+1)^2*(1-q+q^2)^2*(q^2+1)^2*(q^4+1)*(q^4-q^2+1),
1/4*q^20*(q-1)^4*(q+1)^4*(q^2+q+1)^2*(1-q+q^2)^2*(q^2+1)^2*(q^4+1)*(q^4-q^2+1),
1/4*q^20*(q-1)^4*(q+1)^4*(q^2+q+1)^2*(1-q+q^2)^2*(q^2+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)*(2*q^4+1)*(q^2+q+1)*(q^2+1)^2*(q+1)^4,
  (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)^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)^2,
  (q+1)*(9*q^6+7*q^5+5*q^4+5*q^3+3*q^2+2*q+1)*(q^2+q+1),
  (7*q^5+10*q^4+9*q^3+6*q^2+3*q+1)*(q^2-q+1)*(q+1)^2,
  (q+1)*(9*q^6+7*q^5+5*q^4+5*q^3+3*q^2+2*q+1)*(q^2+q+1),
  (7*q^5+10*q^4+9*q^3+6*q^2+3*q+1)*(q^2-q+1)*(q+1)^2,
  (2*q+1)*(2*q^3+3*q^2+1)*(q^2+1)*(q+1)^2,
  (2*q+1)*(2*q^3+3*q^2+1)*(q^2+1)*(q+1)^2,
  (4*q^4+3*q^3+3*q^2+q+1)*(q+1)^3, (4*q^4+3*q^3+3*q^2+q+1)*(q+1)^3,
  (q+1)*(9*q^5+15*q^4+14*q^3+6*q^2+3*q+1),
  (q+1)*(9*q^5+15*q^4+14*q^3+6*q^2+3*q+1),
  16*q^5+16*q^3+21*q^4+9*q^2+4*q+1+6*q^6,
  1+4*q+9*q^2+27*q^4+20*q^3+16*q^5,24*q^4+24*q^3+9*q^2+4*q+1,
  (2*q+1)*(6*q^3+5*q^2+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)*(8*q^2+3*q+1),
  (q+1)*(8*q^2+3*q+1), 13*q^2+4*q+1,9*q^2+4*q+1,
  13*q^2+4*q+1,9*q^2+4*q+1,5*q^2+4*q+1,4*q+1,4*q+1, 1, 1, 1, 1],

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

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

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

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

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

 [[`B_2`], (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)*(q^2+q+1)*(q^4+1)*(q+1)^3,
 (2*q^11-q^10-q^6+q^4+1)*(q+1)^2,
 (q-1)*(q^7-q^6-2*q^5-2*q^4-q^3-q^2-q-1)*(q+1)^2,
 -(q-1)*(q^4+q^3+1)*(q^2+q+1)*(q+1)^2, (q^4-q^3+1)*(q^2-q+1)*(q+1)^3,
 -(q-1)*(q^4+q^3+1)*(q^2+q+1)*(q+1)^2, (q^4-q^3+1)*(q^2-q+1)*(q+1)^3,
 -(q^4-2*q^3-1)*(q+1)^2, -(q^4-2*q^3-1)*(q+1)^2,
 -(q-1)*(2*q^4+q^3+q^2+q+1)*(q+1)^2,
 -(q-1)*(2*q^4+q^3+q^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^2+2*q+1-2*q^6+q^4,2*q^3+q^2+2*q+1+3*q^4,
 (q+1)*(2*q+1)*(2*q^2-q+1), (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, (q+1)^2, (q+1)^2,
 (q+1)^2, (q+1)^2,2*q+1,2*q+1, 1, 1, 1, 1],

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

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

 [[`B_2+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)*(2*q^4+1)*(q^2+1)*(q-1)^3*(q+1)^3,
 (q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^2*(q+1)^2,
 (q-1)*(q+1)*(q^10+2*q^8+q^6-q^4-1), (q^6+2*q^4+q^2+1)*(q-1)^2*(q+1)^2,
 (q-1)*(q^6-q^5-q^4-q^3+q^2-1)*(q^2+q+1),
 -(q+1)*(q^6+q^5-q^4+q^3+q^2-1)*(q^2-q+1),
 -(q+1)*(q^4-q^3-1)*(q^2+q+1)*(q-1)^2,
 (q-1)*(q^4+q^3-1)*(q^2-q+1)*(q+1)^2, -(q-1)*(q+1)*(q^4+1),
 -(q-1)*(q+1)*(q^4+1), -(q-1)*(q+1)*(q^4+1), (q-1)^2*(q+1)^2*(q^2+1),
 -(q-1)*(q+1)*(q^4+1), (q-1)^2*(q+1)^2*(q^2+1), -q^2+1-q^4, -q^2+1-q^4,
 -(q-1)*(q+1), -(q-1)*(q+1), -(q-1)*(q+1), (q^2+1), (q^2+1),
 -(q-1)*(q+1), -(q-1)*(q+1), (q^2+1), (q^2+1), (q^2+1), -3*q^2+1,
 -3*q^2+1, 1, 1, 1, 1, 1, 1],

 [[`A_3`], -(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^2-q+1)*(q^2+q+1)*(2*q^4+1)*(q^2+1)*(q-1)^3*(q+1)^3,
 (q-1)*(q+1)*(q^10+2*q^8+q^6-q^4-1), (q^6+2*q^4+q^2+1)*(q-1)^2*(q+1)^2,
 -(q+1)*(q^4-q^3-1)*(q^2+q+1)*(q-1)^2,
 (q-1)*(q^4+q^3-1)*(q^2-q+1)*(q+1)^2,
 (q-1)*(q^6-q^5-q^4-q^3+q^2-1)*(q^2+q+1),
 -(q+1)*(q^6+q^5-q^4+q^3+q^2-1)*(q^2-q+1), -(q-1)*(q+1)*(q^4+1),
 -(q-1)*(q+1)*(q^4+1), (q-1)^2*(q+1)^2*(q^2+1), -(q-1)*(q+1)*(q^4+1),
 (q-1)^2*(q+1)^2*(q^2+1), -(q-1)*(q+1)*(q^4+1), -q^2+1-q^4, -q^2+1-q^4,
 -(q-1)*(q+1), -(q-1)*(q+1), -(q-1)*(q+1), -(q-1)*(q+1), -(q-1)*(q+1),
 (q^2+1), (q^2+1), (q^2+1), -3*q^2+1, (q^2+1), (q^2+1), -3*q^2+1, 1, 1,
 1, 1, 1, 1],

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

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

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

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

[[`4A_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^2+q+1)*(2*q^4+1)*(q^2-q+1)*(q^2+1)^2*(q-1)^4,
(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)*(4*q^7-3*q^6+3*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)^2,
-(7*q^5-10*q^4+9*q^3-6*q^2+3*q-1)*(q^2+q+1)*(q-1)^2,
-(q-1)*(9*q^6-7*q^5+5*q^4-5*q^3+3*q^2-2*q+1)*(q^2-q+1),
-(7*q^5-10*q^4+9*q^3-6*q^2+3*q-1)*(q^2+q+1)*(q-1)^2,
-(q-1)*(9*q^6-7*q^5+5*q^4-5*q^3+3*q^2-2*q+1)*(q^2-q+1),
(2*q-1)*(2*q^3-3*q^2-1)*(q^2+1)*(q-1)^2,
(2*q-1)*(2*q^3-3*q^2-1)*(q^2+1)*(q-1)^2,
-(4*q^4-3*q^3+3*q^2-q+1)*(q-1)^3, -(4*q^4-3*q^3+3*q^2-q+1)*(q-1)^3,
(q-1)*(9*q^5-15*q^4+14*q^3-6*q^2+3*q-1),
(q-1)*(9*q^5-15*q^4+14*q^3-6*q^2+3*q-1),
1-4*q+9*q^2+21*q^4+6*q^6-16*q^5-16*q^3,
1-4*q+9*q^2+27*q^4-16*q^5-20*q^3, -4*q+9*q^2+24*q^4-24*q^3+1,
(2*q-1)*(6*q^3-5*q^2+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)*(8*q^2-3*q+1),
-(q-1)*(8*q^2-3*q+1),
 -4*q+13*q^2+1, -4*q+9*q^2+1, -4*q+13*q^2+1, -4*q+9*q^2+1,
 -4*q+5*q^2+1, -4*q+1, -4*q+1, 1, 1, 1, 1],

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

[[`A_3+\\tilde A_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)*(q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^3,
-(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+1)*(q-1)^3,
-(2*q^11+q^10+q^6-q^4-1)*(q-1)^2,
(q+1)*(q^7+q^6-2*q^5+2*q^4-q^3+q^2-q+1)*(q-1)^2,
-(q^4+q^3+1)*(q^2+q+1)*(q-1)^3, (q+1)*(q^4-q^3+1)*(q^2-q+1)*(q-1)^2,
 -(q^4+q^3+1)*(q^2+q+1)*(q-1)^3, (q+1)*(q^4-q^3+1)*(q^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+1)*(2*q^4-q^3+q^2-q+1)*(q-1)^2, (q+1)*(2*q^4-q^3+q^2-q+1)*(q-1)^2,
 -(q^4+2*q^3-1)*(q-1)^2, -(q^4+2*q^3-1)*(q-1)^2, -2*q+q^2+q^4-2*q^6+1,
 -2*q+q^2+3*q^4-2*q^3+1, (q-1)*(2*q-1)*(2*q^2+q+1), (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, (q-1)^2, (q-1)^2, (q-1)^2, (q-1)^2, -2*q+1, -2*q+1, 1, 1, 1,
 1],

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

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

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

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

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

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

KlassentypOrdF4002green:=array(1..35,[1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1]):

NurPolynomF4002green:=true:

# 5) Informationen:
Information.`F4002green`:=TEXT(
`- Information about the Green functions of $F_4(2^n)$.`,
``,
`- CHEVIE-name of the table: ``F4p2green```,
``,
`- 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 unipotent classes were determined in:`,
`  {\\sc K. Shinoda}, The conjugacy classes of Chevalley groups of type,`,
`    $(F_4)$ over finite fields of characteristic 2, {\\em J. Fac Sci`,
`    Univ. Tokyo \bf21} (1974), 133--159.`,
``,
`  The notation for the unipotent classes is taken from that paper.`,
``
):

g := `F4p2green`;
print(`g := ``F4p2green`` `);
