#############################################################################
##
#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 ^2E_6(q),  (6,q) = 1                            #
#                                                                           #
#############################################################################
##
#A 
#A 
##
lprint(`**************************************************************************`);
lprint(`*                                                                        *`);
lprint(`*                                                                        *`);
lprint(`*                    Green Functions of ^2E_6(q),  (6,q) = 1             *`);
lprint(`*                                                                        *`);
lprint(`*                                                                        *`);
lprint(`**************************************************************************`);

# Wertetafel

`2E6n23green` := array(-2..25, -1..25,[

 [`^2E_6(q)`, `2E6005green` , q^36*(q+1)^6*(q-1)^4*(q^2-q+1)^3*(q^2+1)^2*
(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^4+1)*(q^6-q^3+1)*(q^4-q^2+1), 25, 25 , 25, 25],

 [ ],

 [`classlength`, 1, 1,
  (q-1)*(q+1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(1-q^3+q^6)*(q^4-q^2+1)*(q^4+1),
  (q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q+1)^2*(q^2-q+1)^2*q^3,
  (q^2-q+1)^2*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q-1)^2*(q^2+1)^2*(q^2+q+1)^2*(q+1)^3*q^5,
  1/2*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q-1)^2*(q+1)^2*(q^2+q+1)^2*(q^2+1)^2*q^10,
  1/2*(q^2-q+1)^2*q^10*(q^2+1)*(q^2+q+1)*(1-q^3+q^6)*(q^4+1)*(q^4-q^2+1)*(q^4-q^3+q^2-q+1)*(q-1)^2*(q+1)^4,
  (q-1)^3*(q^2+1)^2*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q^2-q+1)^2*(q^2+q+1)^2*(q+1)^3*q^10,
  (q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^2*(q+1)^4*q^14,
  (q^4-q^3+q^2-q+1)*q^11*(1-q^3+q^6)*(q^4+1)*(q^4-q^2+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3*(q^2-q+1)^3*(q+1)^4,
  (q^2+q+1)^2*(q^2-q+1)^3*(q^2+1)*(q^4-q^3+q^2-q+1)*(1-q^3+q^6)*(q^4+1)*(q^4-q^2+1)*(q-1)^2*(q+1)^3*q^17,
  (q+1)^5*(q^2+1)^2*q^14*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q^2+q+1)^2*(q-1)^3*(q^2-q+1)^3,
  (q^2+q+1)^2*(q^2-q+1)^3*(q-1)^3*q^17*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q^2+1)^2*(q+1)^4,
  1/6*q^18*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q-1)^4*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3*(q+1)^4,
  1/2*(1-q^3+q^6)*q^18*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q^2-q+1)^3*(q+1)^5,
  1/3*(q^4-q^3+q^2-q+1)*(q^4+1)*(1-q^3+q^6)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^4*(q+1)^6*q^18*(q^4-q^2+1),
  q^21*(q+1)^4*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3*(q^2-q+1)^3,
  (q+1)^4*(q-1)^3*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q^2+1)^2*(q^2-q+1)^2*(q^2+q+1)^2*q^23,
  (q-1)^4*(q^2+1)^2*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q^2+q+1)^2*(q^2-q+1)^3*(q+1)^5*q^21,
  q^23*(q^2+1)^2*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q^2+q+1)^2*(q-1)^4*(q+1)^5*(q^2-q+1)^3,
  q^24*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q^2+q+1)^2*(q^2-q+1)^3*(q^2+1)^2*(q-1)^3*(q+1)^5,
  1/2*q^24*(q^4-q^3+q^2-q+1)*(q^2-q+1)^3*(q^4+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4*(q+1)^6,
  1/2*q^24*(q^4-q^3+q^2-q+1)*(q^2-q+1)^3*(q^4+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4*(q+1)^6,
  q^27*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4*(q^2-q+1)^3*(q+1)^5*(q^4+1),
  (1-q^3+q^6)*(q^4-q^2+1)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4*(q^2-q+1)^3*(q+1)^6*q^28*(q^4+1)*(q^4-q^3+q^2-q+1),
  (q^4+1)*(q^2+1)^2*(q^4-q^3+q^2-q+1)*(q^2+q+1)^2*(q^4-q^2+1)*(1-q^3+q^6)*(q-1)^4*(q^2-q+1)^3*(q+1)^6*q^30],

 [[`\\emptyset`], (q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^3*(q-1)^4,
  (q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^3*(q-1)^4,
  -(q^2+q+1)*(q^4-q^3+q^2-q+1)*(6*q^10-5*q^9+5*q^8-5*q^7+4*q^6-3*q^5+3*q^4-2*q^3+q^2-q+1)*(q^2+1)*(q^2-q+1)^2*(q-1)^3,
  (q^2-q+1)*(q^2+1)*(q^2+q+1)*(20*q^11-34*q^10+42*q^9-44*q^8+40*q^7-31*q^6+23*q^5-16*q^4+10*q^3-6*q^2+3*q-1)*(q-1)^3,
  (q^2-q+1)*(15*q^12-45*q^11+70*q^10-90*q^9+91*q^8-79*q^7+60*q^6-40*q^5+25*q^4-14*q^3+7*q^2-3*q+1)*(q-1)^2,
  -(-1+2*q-4*q^2+8*q^3-13*q^4+25*q^5-39*q^6+54*q^7-49*q^8+45*q^9)*(q-1)^2*(q^2-q+1)^2,
  -(q^2-q+1)*(q^2+q+1)*(q^2+1)*(15*q^7-31*q^6+33*q^5-26*q^4+16*q^3-9*q^2+4*q-1)*(q-1)^2,
  -(q-1)*(64*q^10-127*q^9+150*q^8-139*q^7+100*q^6-65*q^5+39*q^4-21*q^3+10*q^2-4*q+1)*(q^2-q+1),
  (q^2-q+1)*(q^2+q+1)*(24*q^6-32*q^5+29*q^4-20*q^3+10*q^2-4*q+1)*(q-1)^2,
  -(q-1)*(60*q^10-161*q^9+220*q^8-219*q^7+175*q^6-119*q^5+70*q^4-35*q^3+15*q^2-5*q+1),
  (81*q^6-89*q^5+59*q^4-26*q^3+10*q^2-4*q+1)*(q^2+1)*(q-1)^2,
  -(10*q^7-40*q^6+50*q^5-40*q^4+24*q^3-11*q^2+4*q-1)*(q-1)^2,
  (q-1)*(60*q^7-170*q^6+155*q^5-93*q^4+41*q^3-15*q^2+5*q-1),
  -280*q^7+470*q^6-342*q^5+169*q^4-62*q^3+20*q^2-6*q+1,
  -(q-1)*(2*q-1)*(30*q^5-30*q^4+17*q^3-9*q^2+3*q-1),
  -(q-1)*(q^2-q+1)*(10*q^4-15*q^3+10*q^2-4*q+1),
  (q-1)*(81*q^5-73*q^4+41*q^3-15*q^2+5*q-1),
  (q-1)*(2*q-1)*(12*q^2-2*q+1)*(q^2-q+1), -60*q^5+79*q^4-50*q^3+20*q^2-6*q+1,
  64*q^4-65*q^3+26*q^2-6*q+1, (q-1)*(15*q^3-15*q^2+5*q-1),
  -45*q^3+26*q^2-6*q+1, -(3*q-1)*(5*q^2-3*q+1), 20*q^2-6*q+1, -6*q+1, 1],

 [[`4A_1`], (q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3*(q+1)^4,
  (q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^3*(q+1)^4,
  (q^2+q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(2*q^10+q^9+q^8+q^7+2*q^6+q^5+q^4+q^2+q+1)*(q^2-q+1)^2*(q+1)^3,
  (q^2+1)*(q^2+q+1)*(q^2-q+1)*(4*q^12+2*q^11+4*q^10+2*q^9+4*q^8+q^7+2*q^6+q^5+2*q^4+q^2+1)*(q+1)^2,
  (q+1)*(q^2-q+1)*(7*q^13+14*q^12+17*q^11+20*q^10+17*q^9+16*q^8+13*q^7+12*q^6+9*q^5+7*q^4+5*q^3+4*q^2+2*q+1),
  (11*q^9+13*q^8+14*q^7+11*q^6+7*q^5+5*q^4+4*q^3+4*q^2+2*q+1)*(q+1)^2*(q^2-q+1)^2,
  (q^2+q+1)*(q^2-q+1)*(9*q^9+5*q^8+2*q^7+3*q^6+3*q^5+3*q^4+2*q^3+2*q^2+2*q+1)*(q^2+1),
  (q^2-q+1)*(7*q^8+5*q^7+8*q^6+4*q^5+5*q^4+2*q^3+3*q^2+q+1)*(q+1)^2,
  (q^2+q+1)*(q^2-q+1)*(8*q^6+5*q^4+2*q^2+1)*(q+1)^2,
  (q+1)*(4*q^10+q^9+10*q^8+5*q^7+9*q^6+5*q^5+6*q^4+3*q^3+3*q^2+q+1),
  (q+1)*(9*q^7+4*q^6+10*q^5+5*q^4+4*q^3+2*q^2+q+1)*(q^2+1),
  (q+1)*(6*q^8+6*q^7+14*q^6+6*q^5+8*q^4+3*q^3+3*q^2+q+1),
  (q+1)*(12*q^7+14*q^6+15*q^5+9*q^4+5*q^3+3*q^2+q+1),
  24*q^7+30*q^6+34*q^5+17*q^4+10*q^3+4*q^2+2*q+1,
  (2*q^2+1)*(10*q^5+7*q^4+2*q^3+2*q^2+2*q+1),
  (q+1)*(q^2-q+1)*(6*q^4+3*q^3+4*q^2+2*q+1),
  (q+1)*(9*q^5+5*q^4+5*q^3+3*q^2+q+1), (2*q+1)*(q^2-q+1)*(4*q^3+2*q^2+q+1),
  (q+1)*(4*q^4+3*q^3+3*q^2+q+1), 7*q^3+2*q^2+2*q+1, (q+1)*(7*q^3+3*q^2+q+1),
  11*q^3+2*q^2+2*q+1, 9*q^3+6*q^2+2*q+1, 4*q^2+2*q+1, 2*q+1, 1],

 [[`2A_1`], (q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^3,
  (q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q-1)^2*(q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^3,
  -(q-1)*(q+1)*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(2*q^9+q^8-2*q^7-q^6+q^5+2*q^4-q^3-q^2+1)*(q^2+1)^2*(q^2-q+1)^2,
  (q-1)*(q^2+q+1)*(q^2-q+1)*(4*q^13+2*q^12-2*q^11+2*q^10-2*q^9+q^8+q^7-q^6+q^5-2*q^4+q^3-q^2+q-1)*(q^2+1),
  (q-1)*(q^2-q+1)*(3*q^13-q^11-3*q^9-2*q^8-q^7-4*q^6+q^5-3*q^4+q^3-2*q^2-1),
  -(q+1)*(q^10+8*q^9-7*q^8+11*q^7-10*q^6+8*q^5-5*q^4+4*q^3-2*q^2+q-1)*(q^2-q+1)^2,
  -(q-1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(3*q^8+2*q^7+q^5+2*q^4-q^3+q^2-q+1),
  -(q^2+1)*(q^2-q+1)*(5*q^8+q^7-2*q^6+2*q^5-3*q^4+2*q^3-q^2+q-1),
  (q^2+q+1)*(q^2-q+1)*(q-1)^2*(q^2+1)^2,
  -(q-1)*(4*q^10+3*q^9+4*q^8+q^7+7*q^6-3*q^5+6*q^4-3*q^3+3*q^2-q+1),
  -(q^2+1)*(3*q^8-9*q^7+2*q^6+5*q^5-9*q^4+6*q^3-3*q^2+2*q-1),
  -(q-1)*(2*q^8-2*q^7+2*q^6-2*q^5+4*q^4-3*q^3+3*q^2-q+1),
  4*q^8+2*q^7+q^6-8*q^5+10*q^4-8*q^3+4*q^2-2*q+1,
  16*q^7-6*q^6-10*q^5+13*q^4-10*q^3+4*q^2-2*q+1,
  -4*q^7+2*q^6-6*q^5+7*q^4-6*q^3+4*q^2-2*q+1,
  -(q-1)*(q^2+q+1)*(q^2-q+1)*(2*q^2-q+1), -3*q^6-6*q^5+6*q^4-8*q^3+4*q^2-2*q+1,
  (4*q^2-q+1)*(q^2-q+1), -(q^2+1)*(4*q^3-3*q^2+2*q-1), -(q-1)*(5*q^2-q+1),
  (q^2+1)*(3*q^2-2*q+1), -q^3+6*q^2-2*q+1, -3*q^3+2*q^2-2*q+1, 4*q^2-2*q+1,
  -2*q+1, 1],

 [[`3A_2`], (q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4*(q+1)^6,
  (q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4*(q+1)^6,
  (q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)*(3*q^9+2*q^8-q^7-3*q^6-q^5+q^4+2*q^3-q-1)*(q-1)^3*(q+1)^5,
  (q^2+1)*(2*q^7-q^6-2*q^5-q^4+q^3+q^2-1)*(q^2+q+1)^2*(q-1)^3*(q+1)^4,
  -(-1-2*q-2*q^2+q^3+4*q^4+3*q^5-3*q^6-5*q^7-2*q^8+5*q^9+6*q^10+3*q^11)*(q-1)^2*(q+1)^3,
  -(-1-q-q^2+2*q^3+2*q^4-2*q^5-6*q^6-3*q^7+5*q^8+9*q^9)*(q-1)^2*(q+1)^4,
  (q^2+1)*(q^2+q+1)*(3*q^6+q^5-q^4-3*q^3-q^2+q+1)*(q-1)^2*(q+1)^3,
  (q-1)*(8*q^9+5*q^8-2*q^7-6*q^6-q^5+3*q^4+3*q^3-q-1)*(q+1)^3,
  (q^2+q+1)*(6*q^6+4*q^5-q^4-2*q^3+q^2+2*q+1)*(q-1)^2*(q+1)^2,
  -(q-1)*(6*q^8+7*q^7+2*q^6-5*q^5-6*q^4-3*q^3+q^2+2*q+1)*(q+1)^2,
  (q^2+1)*(q-1)^2*(q+1)^5, -(q+1)*(q^6+4*q^5+q^4-5*q^3-7*q^2-4*q-1)*(q-1)^2,
  -(q-1)*(3*q^5+2*q^4+q^2+2*q+1)*(q+1)^2, -(q^5-4*q^4-2*q^3+q^2-q-1)*(q+1)^2,
  (q-1)*(3*q^3-q-1)*(q+1)^3, 26*q^7+26*q^6-6*q^5-17*q^4-8*q^3+2*q^2+3*q+1,
  -(q-1)*(q+1)^4, (q-1)*(6*q^3+2*q^2-2*q-1)*(q+1)^2,
  -(q+1)*(6*q^4+5*q^3-2*q-1), -(q+1)*(8*q^3+3*q^2-2*q-1),
  -(q-1)*(q+1)*(3*q^2+3*q+1), -9*q^3-q^2+3*q+1, (q+1)*(3*q^2+2*q+1),
  (q+1)*(2*q+1), 3*q+1, 1],

 [[`A_2`], (q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q+1)^2*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4,
  (q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q+1)^2*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4,
  -(q+1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(3*q^11+q^10-q^7+q^6+q^4-q^3+1)*(q-1)^3,
  (q+1)*(q^2+q+1)*(5*q^12-2*q^11-q^10+4*q^9-7*q^8+9*q^7-8*q^6+7*q^5-6*q^4+4*q^3-3*q^2+2*q-1)*(q^2+1)*(q-1)^3,
  -(q+1)*(5*q^9-5*q^8+7*q^7-9*q^6+6*q^5-5*q^4+4*q^3-2*q^2+q-1)*(q^2-q+1)*(q-1)^2,
  -(6*q^11+8*q^10+q^9+5*q^8+q^7-2*q^6+4*q^5-q^4+2*q^3-q^2-1)*(q^2-q+1)*(q-1)^2,
  -(q+1)*(q^2+q+1)*(q^2+1)*(q^2-q+1)*(2*q^5-5*q^4+3*q^3-2*q^2+2*q-1)*(q-1)^2,
  -(q-1)*(4*q^12+7*q^11-10*q^10+7*q^9-4*q^8-7*q^7+9*q^6-8*q^5+7*q^4-5*q^3+3*q^2-2*q+1),
  (q^2+q+1)*(4*q^7-2*q^6+2*q^4-4*q^3+3*q^2-2*q+1)*(q-1)^2,
  (q-1)*(3*q^10-7*q^9+8*q^8-4*q^6+5*q^5-7*q^4+5*q^3-3*q^2+2*q-1),
  (q^2+1)*(4*q^5+5*q^4-5*q^3+q^2-q+1)*(q-1)^2,
  (2*q^7-2*q^6+q^5+q^4-3*q^3+2*q^2-q+1)*(q-1)^2,
  -(q-1)*(6*q^7-q^6-2*q^5+9*q^4-8*q^3+3*q^2-2*q+1),
  2*q^7+8*q^6-18*q^5+25*q^4-14*q^3+5*q^2-3*q+1,
  (q-1)*(6*q^6-4*q^4+5*q^3-3*q^2+2*q-1), (q-1)*(q^2-q+1)*(2*q^4-q^2+q-1),
  -(q-1)*(2*q-1)*(2*q^3-3*q^2-1), -(q-1)*(q^2-q+1)*(4*q^2-q+1),
  3*q^5+4*q^4-8*q^3+5*q^2-3*q+1, 4*q^4-11*q^3+8*q^2-3*q+1,
  -(q-1)*(3*q^2-2*q+1), -(q-1)*(6*q^2-2*q+1), (2*q-1)*(q-1), 5*q^2-3*q+1,
  -3*q+1, 1],

 [[`2A_2`], (q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^4,
  (q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^4,
  -(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(1-q^3+q^6)*(q-1)^3*(q+1)^3,
  -(q^2+1)*(1-q^3+q^6)*(q^3-q+1)*(q+1)^2*(q^2+q+1)^2*(q-1)^3,
  (3*q^12+q^10-3*q^9+q^8-q^7+3*q^6-q^5+q^4-2*q^3+q^2+1)*(q-1)^2*(q+1)^2,
  -(3*q^11+2*q^10+q^9-q^8+q^7-2*q^6+q^5-q^4+2*q^3-q^2-1)*(q-1)^2*(q+1)^2,
  -(q^2+1)*(q^2+q+1)*(3*q^7-q^6-2*q^4+q^3+q-1)*(q-1)^2*(q+1)^2,
  (q-1)*(q+1)*(2*q^11+q^9+q^8-2*q^6-q^5+2*q^3-1),
  (3*q^8+q^7+q^6-q^4-q^3+q+1)*(q^2+q+1)*(q-1)^2,
  (q-1)*(q+1)*(3*q^9+2*q^8-3*q^6-q^5+2*q^3-1),
  -(q^2+1)*(2*q^3-1)*(q-1)^2*(q+1)^2,
  -(q-1)*(4*q^8+4*q^7+3*q^6-2*q^4-2*q^3+q+1), (q-1)*(q+1)*(q^2+q+1)*(q^3+q-1),
  -(4*q^5-4*q^4+4*q^3-2*q^2+2*q-1)*(q+1)^2, (q-1)*(q+1)*(2*q^3-1),
  -(q-1)*(4*q^6+2*q^5-q^4-2*q^3+q+1), (q-1)*(q+1)*(2*q^3-1),
  (q-1)*(3*q^3-q^2+q-1)*(q+1)^2, (q+1)*(3*q^4-2*q^3-q+1), -(q+1)*(2*q^3+q-1),
  (q-1)*(3*q^3-q-1), -3*q^3-q^2+1, -3*q^3-q^2+1, -(q-1)*(q+1), 1, 1],

 [[`D_4(a_1)`], (q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q^2+q+1)^2*(q^2-q+1)^3*(q-1)^4*(q+1)^4,
  (q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q^2+q+1)^2*(q^2-q+1)^3*(q-1)^4*(q+1)^4,
  -(q^2+q+1)*(q^4-q^3+q^2-q+1)*(2*q^9+q^8-2*q^7-q^6+q^5+2*q^4-q^3-q^2+1)*(q^2-q+1)^2*(q-1)^3*(q+1)^3,
  (q^2-q+1)*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(2*q^4+1)*(q+1)^3*(q-1)^4,
  -(q+1)*(q^2-q+1)*(q^11-2*q^9+q^7+2*q^6-2*q^5-2*q^4+q^3+q^2-1)*(q-1)^2,
  -(q^7+q^6-q^5-2*q^4+2*q^3+q^2-1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2,
  (q^2-q+1)*(q^2+q+1)*(5*q^9+3*q^8-4*q^7-3*q^6+3*q^5+3*q^4-2*q^2+1)*(q-1)^2,
  -(q^2-q+1)*(q^5+2*q^4-q^3+1)*(q+1)^2*(q-1)^3,
  (q^2+q+1)*(q^2-q+1)*(q+1)^2*(q-1)^4,
  (q-1)*(q+1)*(q^8-5*q^7+4*q^6+q^5-2*q^4-q^2+2*q-1),
  -(q+1)*(3*q^7+2*q^6-2*q^5-3*q^4+2*q^3+q-1)*(q-1)^2, -(q+1)*(2*q^5+1)*(q-1)^3,
  (q-1)*(q+1)*(4*q^6-2*q^5-3*q^4+2*q^3-q^2+2*q-1),
  -8*q^7-6*q^6+5*q^4+6*q^5-2*q^3-2*q+1, (q-1)*(2*q^2-1)*(2*q^4-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^4-2*q^3+q^2-2*q+1),
  -(q-1)*(q^2-q+1), -(q+1)*(q-1)^3, -(q-1)*(q^2-q+1), -(q+1)*(q-1)^3,
  -(q-1)*(q^2-q+1), 5*q^3-2*q-2*q^2+1, -2*q+1, -2*q+1, 1],

 [[`A_3+A_1`], (q^2+1)*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^3*(q+1)^4,
  (q^2+1)*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^3*(q+1)^4,
  -(q-1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(1-q^3+q^6)*(q^2-q+1)^2*(q+1)^3,
  -(q-1)*(q^2-q+1)*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q+1)^2,
  (q+1)*(q^13-q^11+q^9-q^7+q^5+q^4-q^3+1)*(q^2-q+1),
  (q-1)*(q^8-2*q^6-q^5+q^3-q^2-q-1)*(q+1)^2*(q^2-q+1)^2,
  -(q-1)*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^9+q^8+q^6+q^5+q^4+1),
  (q+1)*(q^2-q+1)*(q^5-q^3+1)*(q^4+1),
  -(q-1)*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^4+1),
  -(q+1)*(q^2-q+1)*(q^7-q^6-q^5-q^4+q^3-1),
  -(q-1)*(q+1)*(q^8+q^7+q^5+q^4+q^2+1),
  (q+1)*(2*q^8-2*q^7+2*q^6-2*q^5+2*q^4-q^3+q^2-q+1), -2*q^7-q^6+1,
  -(4*q^5-4*q^4+4*q^3-3*q^2+2*q-1)*(q+1)^2, q^4+1,
  (q+1)*(q^2-q+1)*(2*q^4-q^3+1), -(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1),
  (q+1)*(q^2-q+1), q^4+1, (q+1)*(q^2-q+1), q^4+1, (q+1)*(q^2-q+1),
  -(q-1)*(q^2+q+1), 1, 1, 1],

 [[`A_4`], (1-q^3+q^6)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^3*(q-1)^4*(q+1)^4,
  (1-q^3+q^6)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^3*(q-1)^4*(q+1)^4,
  -(q^2+1)*(q^9-q^7+q^6-q^5+q^4-q+1)*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3*(q+1)^3,
  (q^2+1)*(q^8-q^4-1)*(q^2-q+1)*(q^2+q+1)*(q+1)^2*(q-1)^3,
  (q^2-q+1)*(q^2+1)*(q^4-q^3+1)*(q-1)^2*(q+1)^2,
  -(q^2+1)*(q^4+2*q^3-q-1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2,
  (q^2-q+1)*(q^2+1)*(q^2+q+1)*(q^4-q+1)*(q-1)^2*(q+1)^2,
  (q-1)*(q+1)*(q^2-q+1)*(q^9+q^8-q^7+q^3-1),
  -(q+1)*(q^2-q+1)*(q^2+q+1)*(q^5+q^4-1)*(q-1)^2,
  (q-1)*(q+1)*(q^8-q^7-q^4+q^3-q^2+q-1), (q+1)*(q^2+1)*(q^5-q^3+1)*(q-1)^2,
  (q+1)*(q^2+1)*(q-1)^2, (q-1)*(q+1)*(2*q^3-q^2+q-1),
  (q-1)*(q+1)*(3*q^3-q^2+q-1), (q+1)*(q^2+1)*(q-1)^2, -(q-1)*(q+1)*(q^2-q+1),
  (q-1)*(q^5+2*q^4+q^3-1), -(q-1)*(q+1)*(q^2-q+1)*(q^2+1), -q^4-q+1,
  -(q-1)*(q^3+q^2+1), -q+1, q^2-q+1, -q-q^2+1, -q+1, -q+1, 1],

 [[`E_6(a_2)`], (q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q^2-q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^6,
  (q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q^2-q+1)^2*(q^2+1)^2*(q-1)^4*(q+1)^6,
  -(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^9-q^7+q^6-q^5+q^4-q+1)*(q-1)^3*(q+1)^5,
  -(q^2-q+1)*(2*q^9-q^8-q^7+q^4-q+1)*(q^2+1)*(q-1)^3*(q+1)^4,
  (q^11-2*q^10+3*q^9-2*q^8+q^7-q^6+q^5-q^3+2*q^2-2*q+1)*(q-1)^2*(q+1)^3,
  -(q^2-q+1)*(q^6-q^5+q^4-q^3+q^2-q+1)*(q-1)^3*(q+1)^4,
  (3*q^9-q^8-q^7+2*q^3-q^2-q+1)*(q^2+1)*(q-1)^2*(q+1)^2,
  (q^2-q+1)*(q^5-q+1)*(q-1)^2*(q+1)^3,
  (q^2-q+1)*(2*q^6-q^4-q^2+1)*(q-1)^2*(q+1)^2,
  -(q-1)*(q^3-q+1)*(2*q^5-q^4-q+1)*(q+1)^2, (q^2+1)*(q+1)^3*(q-1)^4,
  (q+1)*(3*q^6-q^4+q^3-q^2+1)*(q-1)^2, -(q-1)*(3*q^5-2*q^4+q^2-2*q+1)*(q+1)^2,
  (3*q^5-2*q^3+3*q^2-3*q+1)*(q+1)^2, -(q+1)*(q^3+q+1)*(q-1)^3,
  -6*q^7+6*q^6-2*q^5-q^4+4*q^3-2*q^2-q+1, -(q+1)^2*(q-1)^3,
  (q-1)*(2*q^3-2*q^2+2*q-1)*(q+1)^2, -(q-1)*(q+1)*(2*q^3-q^2-q+1),
  (q+1)*(q-1)^2, (q-1)*(q+1)*(q^2+q-1), -q^3-q^2-q+1, (q-1)*(3*q^2-1),
  -(q+1)*(2*q-1), -q+1, 1],

 [[`D_4`], (q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^3*(q+1)^4,
  (q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q-1)^2*(q^2+1)^2*(q^2-q+1)^3*(q+1)^4,
  -(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^9-q^7+q^6-q^5+q^4-q+1)*(q^2-q+1)^2*(q+1)^3,
  (q^2-q+1)*(q^2+1)*(q^12+2*q^11+q^10+2*q^9+q^8+q^7+2*q^6+q^5+2*q^4+q^2+1)*(q-1)^2*(q+1)^2,
  -(q-1)*(q+1)*(q^2-q+1)*(2*q^12+q^10+2*q^9+2*q^7+q^6+q^5+q^4+q^2+1),
  (1+q+2*q^2+q^3+2*q^4+q^5+2*q^6+2*q^7)*(q-1)^2*(q+1)^2*(q^2-q+1)^2,
  (q^2+q+1)*(q^2+1)*(q^2-q+1)*(2*q^8-q^7+2*q^3-q^2-q+1),
  (q-1)*(q^2-q+1)*(q^7-3*q^6+2*q^5-3*q^4+2*q^3-2*q^2+q-1)*(q+1)^2,
  (q^2-q+1)*(2*q^6+2*q^4+2*q^2+1)*(q-1)^2*(q+1)^2,
  (q+1)*(q^3-q+1)*(q^7+q^6-q^5+2*q^4-2*q^3+2*q^2-q+1),
  -(q-1)*(q+1)*(q^2+1)*(2*q^5+q^4-q^3+q^2-q+1),
  -(q-1)*(q+1)*(q^5+q^4-q^3+2*q^2-q+1), -(q-1)*(q+1)*(q^5+q^4-2*q^3+2*q^2-q+1),
  (q+1)*(4*q^4-5*q^3+3*q^2-2*q+1), -(q-1)*(2*q^2+1)*(2*q^4+q^3-q^2+1),
  (q+1)*(q^2-q+1)^2, (q+1)*(2*q^2+1)*(q-1)^2, (q^2-q+1)*(2*q^4+2*q^3+q^2+1),
  (q-1)*(q+1)*(q^3-2*q^2+q-1), q^3+2*q^2-q+1, -(q-1)*(q+1)*(2*q^2-q+1),
  2*q^3+2*q^2-q+1, -q+1, q^2-q+1, -q+1, 1],

 [[`A_5+A_1`], (q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^6,
  (q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q-1)^2*(q^2-q+1)^2*(q^2+1)^2*(q+1)^6,
  (q^2-q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(2*q^10+q^9+q^8+q^7+2*q^6+q^5+q^4+q^2+q+1)*(q-1)^2*(q+1)^5,
  (q-1)*(q^2-q+1)*(q^2+1)*(q^2+q+1)*(q^9-2*q^8+q^7-q^4+q-1)*(q+1)^4,
  (q-1)*(q^12-q^10+q^9-3*q^8+q^7-q^6-q^5-q^4-q^2-1)*(q+1)^3,
  -(q-1)*(q^2-q+1)*(q^8+q^6+2*q^5+q^4-q^3+q^2+1)*(q+1)^4,
  (q^2+1)*(3*q^9+2*q^8+2*q^7+3*q^6+3*q^5+3*q^4+2*q^3+2*q^2+2*q+1)*(q-1)^2*(q+1)^2,
  -(q-1)*(q^2-q+1)*(2*q^6+q^5+q^2+q+1)*(q+1)^3,
  -(q^2-q+1)*(q^2+q+1)*(q^3-q+1)*(q^3-q-1)*(q+1)^2,
  (q-1)*(q^8+q^7-q^6-q^4-q^3-q^2-q-1)*(q+1)^2,
  -(q-1)*(q^2+1)*(2*q^3+1)*(q+1)^3, -(q+1)*(q^6-2*q^4-q-1),
  -(q^5-q^4-2*q^3-1)*(q+1)^2, (4*q^3+1)*(q+1)^2,
  -(q-1)*(q+1)*(2*q^2+2*q+1)*(2*q^3+1), (q+1)*(q^4-2*q^3+q+1),
  (2*q^3+1)*(q+1)^2, -(q-1)*(q^3-q^2+q+1)*(q+1)^2, (q+1)*(q^4+q+1),
  -(q-1)*(2*q+1)*(q+1), (q+1)*(q^3+q+1), -q^3-q^2+2*q+1, 3*q^3+3*q^2+2*q+1,
  (q+1)^2, 2*q+1, 1],

 [[`A_2+2A_1`], (q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q+1)^4,
  (q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q-1)^2*(q^2-q+1)^2*(q^2+q+1)^2*(q^2+1)^2*(q+1)^4,
  (q-1)*(q^2-q+1)*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^7-q^6+q^5-q^4+q^3-q^2-1)*(q^2+1)*(q^4-q^2+1)*(q+1)^3,
  (q-1)*(q^2+1)*(q^2+q+1)*(q^13-q^12+q^11-q^10+q^9-2*q^8+q^7-q^6+q^5-2*q^4+q^3-q^2+q-1)*(q+1)^2,
  -(q-1)*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^8+q^7+2*q^6+q^5+q^2+q+1),
  (q^2-q+1)*(2*q^11-q^9-q^8-q^7+2*q^6+q^4-2*q^3+q^2+1)*(q+1)^2,
  -(q-1)*(q+1)*(q^2+1)*(q^2-q+1)*(q^2+q+1)*(2*q^6+q^5-q^3+q+1),
  (q+1)*(q^2+1)*(q^9-2*q^7+q^5+q^4-q^3+1),
  -(q-1)*(q+1)*(q^2+q+1)*(2*q^4+1)*(q^2+1),
  -(q-1)*(q^10+3*q^9+4*q^8+4*q^7+4*q^6+3*q^5+3*q^4+3*q^3+3*q^2+2*q+1),
  (q^2+1)*(q^4-q^3+q^2-q+1)*(q+1)^2,
  -(q-1)*(2*q^8+4*q^7+5*q^6+4*q^5+4*q^4+3*q^3+3*q^2+2*q+1),
  -(q+1)*(2*q^7-q^6-q^4-q^2-1), -(q+1)*(2*q^3+1)*(q^3-q^2-1),
  2*q^7+2*q^6+q^4+q^2+q+1, -(q-1)*(2*q^2+2*q+1)*(q^2-q+1)*(q^2+q+1),
  (q+1)*(q^2+1), (q^2-q+1)*(q+1)^2, -(q^2+1)*(q^3-q-1), q^3+q+1,
  (q+1)*(q^2+1), 2*q^3+q+1, 1+q+2*q^2, q^2+q+1, q+1, 1],

 [[`E_6(a_1)`], (q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^3*(q-1)^4*(q+1)^6,
  (q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(q^2+1)^2*(q^2+q+1)^2*(q^2-q+1)^3*(q-1)^4*(q+1)^6,
  -(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^2-q+1)^2*(q-1)^3*(q+1)^5,
  -(q^2+1)*(q^3-q+1)*(q^2-q+1)^2*(q^2+q+1)^2*(q-1)^3*(q+1)^4,
  (q^2-q+1)*(q^7+q^5+q^4+q^2+1)*(q-1)^2*(q+1)^3,
  (q^4-q^3+q^2+1)*(q-1)^2*(q^2-q+1)^2*(q+1)^4,
  (q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^3-q+1)*(q-1)^2*(q+1)^3,
  -(q-1)*(q^5-q^3+1)*(q^2-q+1)^2*(q+1)^3,
  (q^2+q+1)*(q-1)^2*(q^2-q+1)^2*(q+1)^3,
  -(q-1)*(q^2-q+1)*(q^4-q^3+q^2-q+1)*(q+1)^3,
  (q^2+1)*(q^2-q+1)*(q-1)^2*(q+1)^3, -(q-1)*(q+1)*(q^7+q^3+1),
  (q^3+q^2+1)*(q-1)^2*(q+1)^2, (q-1)*(2*q^4-q^2+q-1)*(q+1)^2,
  -(q-1)*(q^2-q+1)*(q+1)^2, (q^2-q+1)*(2*q^5+q^4-q^3-q^2+q+1),
  -(q-1)*(q^2-q+1)*(q+1)^2, -(q-1)*(q^2-q+1)*(q+1)^2, (q+1)*(q^3-q+1),
  (q+1)*(q^3-q+1), -(q-1)*(q+1), -(q-1)*(q+1), -(q-1)*(q+1),
  -(q-1)*(q+1), 1, 1],

 [[`E_6`], (q^4-q^3+q^2-q+1)*(q^4+1)*(1-q^3+q^6)*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4*(q+1)^6,
  (q^4-q^3+q^2-q+1)*(q^4+1)*(1-q^3+q^6)*(q^2-q+1)^2*(q^2+1)^2*(q^2+q+1)^2*(q-1)^4*(q+1)^6,
  (q^2-q+1)*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^7-q^6+q^5-q^4+q^3-q^2-1)*(q^2+1)*(q-1)^3*(q+1)^5,
  -(q^2-q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)*(q^2+q+1)^2*(q-1)^3*(q+1)^4,
  -(q^11+q^9+q^7-q^6+q^5-2*q^4+q^3-2*q^2-1)*(q-1)^2*(q+1)^3,
  -(q^2-q+1)*(q^3-q^2-1)*(q^4-q^3+q^2+1)*(q-1)^2*(q+1)^4,
  -(q^2+q+1)*(q^6+q^5+q^4+q^3+q^2+q+1)*(q^2+1)*(q+1)^2*(q-1)^3,
  -(q^2-q+1)*(q^2+q+1)*(q^3-q^2-1)*(q-1)^2*(q+1)^3,
  (q^2-q+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2,
  (q-1)*(q^7+q^5+q^3-q^2-1)*(q+1)^2,
  (q-1)^2*(q^2+1)^2*(q+1)^3, (q+1)*(q^2+q+1)*(q^4+q^3+q^2+q+1)*(q-1)^2,
  (q-1)*(q^5-q^2-1)*(q+1)^2, (q-1)*(q^3-2*q^2+q-1)*(q+1)^3,
  (q-1)*(q+1)*(q^2+1)*(q^3-q-1), -(2*q^3-1)*(q^4+q+1),
  -(q-1)*(q^2+1)*(q+1)^2, -(q-1)*(q+1)^2, -(q-1)*(q+1)*(q^2+q+1),
  -(q-1)*(q+1)^2, -(q-1)*(q+1)*(q^2+q+1), -(q-1)*(q+1)^2, -q^3+q+q^2+1,
  q+1, q+1, 1],

 [[`A_1`], -(q+1)*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q^2-q+1)^3,
  -(q+1)*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q^2-q+1)^3,
  (q^2+q+1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(4*q^11+q^10-q^7+q^6+q^4-q^3+1)*(q-1)^2*(q^2-q+1)^2,
  -(q^2+q+1)*(q^2+1)*(q^2-q+1)*(10*q^12-6*q^11+2*q^10+2*q^9-6*q^8+9*q^7-8*q^6+7*q^5-6*q^4+4*q^3-3*q^2+2*q-1)*(q-1)^2,
  -(q-1)*(q^2-q+1)*(5*q^13-10*q^12+5*q^11-11*q^9+18*q^8-21*q^7+20*q^6-15*q^5+11*q^4-7*q^3+4*q^2-2*q+1),
  (q-1)*(15*q^10+4*q^9-3*q^8+13*q^7-12*q^6+10*q^5-5*q^4+4*q^3-2*q^2+q-1)*(q^2-q+1)^2,
  (q^2+q+1)*(q^2-q+1)*(q^2+1)*(5*q^7+q^6-3*q^5+6*q^4-4*q^3+3*q^2-2*q+1)*(q-1)^2,
  (q^2-q+1)*(16*q^11-7*q^10-13*q^9+29*q^8-41*q^7+35*q^6-26*q^5+18*q^4-11*q^3+6*q^2-3*q+1),
  -(q-1)*(q^2+q+1)*(2*q^2-q+1)*(q^2-q+1)*(2*q^5+3*q^4-4*q^3+2*q^2-2*q+1),
  (q-1)*(10*q^10+q^9-18*q^8+31*q^7-35*q^6+29*q^5-22*q^4+13*q^3-7*q^2+3*q-1),
  -(q-1)*(9*q^7+18*q^6-30*q^5+27*q^4-14*q^3+6*q^2-3*q+1)*(q^2+1),
  -(q-1)*(10*q^6-18*q^5+18*q^4-13*q^3+7*q^2-3*q+1),
  53*q^6-10*q^7-62*q^5+46*q^4-24*q^3+10*q^2-4*q+1,
  78*q^6-88*q^5+61*q^4-28*q^3+10*q^2-4*q+1,
  (q-1)*(3*q^2-2*q+1)*(6*q^3-2*q^2+q-1), (q^2-q+1)*(3*q^2-q+1)*(q-1)^2,
  9*q^6-36*q^5+36*q^4-24*q^3+10*q^2-4*q+1, (q-1)*(q^2-q+1)*(4*q^3-8*q^2+2*q-1),
  -(2*q-1)*(5*q^4-8*q^3+6*q^2-2*q+1), 16*q^4-25*q^3+14*q^2-4*q+1,
  5*q^4-10*q^3+10*q^2-4*q+1, -15*q^3+14*q^2-4*q+1, -5*q^3+6*q^2-4*q+1,
  10*q^2-4*q+1, -4*q+1, 1],

 [[`3A_1`], -(q-1)*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q^2+q+1)^2*(q^2+1)^2*(q+1)^3*(q^2-q+1)^3,
  -(q-1)*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q^2+q+1)^2*(q^2+1)^2*(q+1)^3*(q^2-q+1)^3,
  (q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(1-q^3+q^6)*(q+1)^2*(q^2-q+1)^2,
  -(q-1)*(q+1)*(q^2-q+1)*(q^2+q+1)*(2*q^12+2*q^11+2*q^10+2*q^9+2*q^8+q^7+2*q^6+q^5+2*q^4+q^2+1)*(q^2+1),
  -(q^2-q+1)*(q^2+1)*(q^12+q^11-2*q^10-2*q^9-q^8-q^7-2*q^6-2*q^5-q^4-q^2-q-1),
  -(q-1)*(5*q^8+2*q^7+6*q^6+q^5+4*q^4+q^3+3*q^2+q+1)*(q+1)^2*(q^2-q+1)^2,
  (q^2+1)*(q^2-q+1)*(q^2+q+1)*(q^9+3*q^8+q^6+q^5+q^4+1),
  -(q+1)*(q^2-q+1)*(3*q^9-2*q^8+q^7-4*q^6+q^5-3*q^4+q^3-2*q^2-1),
  -(q-1)*(q+1)*(q^2-q+1)*(q^2+q+1)*(4*q^6+3*q^4+2*q^2+1),
  (q^2-q+1)*(2*q^9+5*q^8+4*q^7+4*q^6+2*q^5+2*q^4+q^3+2*q^2+q+1),
  (q+1)*(q^2+1)*(3*q^7+3*q^4-2*q^3+2*q^2-q+1), 4*q^6-2*q^7+3*q^4+2*q^2+1,
  q^6-2*q^7+2*q^5+2*q^4+2*q^2+1, -6*q^6+4*q^5+q^4+2*q^2+1, (2*q^2+1)*(3*q^4+1),
  (q^2-q+1)*(3*q^4+q^3+2*q^2+q+1), -(q-1)*(q+1)*(3*q^4+3*q^2+1),
  (q^2-q+1)*(4*q^4+4*q^3+2*q^2+q+1), -2*q^5+q^4+2*q^2+1, (q+1)*(3*q^2-q+1),
  q^4+2*q^3+2*q^2+1, 5*q^3+2*q^2+1, -q^3+2*q^2+1, 2*q^2+1, 1, 1],

 [[`A_3+2A_1`], -(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q^2+q+1)^2*(q^2-q+1)^3*(q+1)^5,
  -(q-1)*(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q^2+q+1)^2*(q^2-q+1)^3*(q+1)^5,
  -(q-1)*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(2*q^10+q^9+q^8+q^7+2*q^6+q^5+q^4+q^2+q+1)*(q^2-q+1)^2*(q+1)^4,
  -(q^2+q+1)*(q^2-q+1)*(2*q^13-2*q^12+2*q^11-2*q^10+2*q^9-3*q^8+q^7-q^6+q^5-2*q^4+q^3-q^2+q-1)*(q+1)^3,
  -(3*q^12+3*q^11-2*q^10-2*q^9-q^8+q^7-2*q^6-2*q^5-q^4-q^2-q-1)*(q^2-q+1)*(q+1)^2,
  -(-1-q^2+2*q^3-2*q^4-q^5-3*q^6+3*q^7)*(q^2-q+1)^2*(q+1)^4,
  -(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)*(5*q^9+3*q^8+2*q^7+3*q^6+3*q^5+3*q^4+2*q^3+2*q^2+2*q+1),
  -(q^8+q^7-2*q^6-2*q^5-q^4-q^2-q-1)*(q^2-q+1)*(q+1)^2,
  (q^2-q+1)*(q^2+q+1)*(3*q^4+1)*(q+1)^2,
  -(q+1)*(2*q^10+q^9+q^7-q^6-q^5-2*q^4-q^3-q^2-q-1),
  -(3*q^8-3*q^7+2*q^6-3*q^5-q^4-2*q^3-q^2-1)*(q+1)^2,
  (q+1)*(2*q^6+2*q^5+4*q^4+q^3+q^2+q+1), (q^2+q+1)*(2*q^3+q^2-q+1)*(q+1)^2,
  (q+1)*(8*q^5+6*q^4+5*q^3+q^2+q+1), 6*q^5+5*q^4+2*q^3+2*q^2+2*q+1,
  -(q+1)*(q^2-q+1)*(q^3-2*q^2-2*q-1), (q+1)*(3*q^3+1)*(q^2+q+1),
  (2*q+1)*(q+1)*(q^2-q+1), (q+1)*(2*q^4+q^3+q^2+q+1), q^3+2*q+1,
  (q+1)*(3*q^3+q^2+q+1), 3*q^3+2*q+1, 5*q^3+4*q^2+2*q+1, 2*q^2+2*q+1,
  2*q+1, 1],

 [[`A_3`], -(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q^2+q+1)^2*(q-1)^3*(q+1)^3*(q^2-q+1)^3,
  -(q^2+1)*(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q^2+q+1)^2*(q-1)^3*(q+1)^3*(q^2-q+1)^3,
  (q^2+q+1)*(q^4-q^3+q^2-q+1)*(2*q^9+q^8-2*q^7-q^6+q^5+2*q^4-q^3-q^2+1)*(q^2+1)*(q-1)^2*(q+1)^2*(q^2-q+1)^2,
  -(q+1)*(q^2+q+1)*(q^2-q+1)*(2*q^13+2*q^12-2*q^11+2*q^10-2*q^9+q^8+q^7-q^6+q^5-2*q^4+q^3-q^2+q-1)*(q-1)^2,
  (q+1)*(q^2-q+1)*(q^11+2*q^9+q^7+2*q^6+2*q^4-q^3+q^2+1)*(q-1)^2,
  (q-1)*(q+1)*(q^9+3*q^8-q^6+q^5-q^4+2*q^3-1)*(q^2-q+1)^2,
  -(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)*(q^9-q^8+2*q^7-q^6-q^5+3*q^4-2*q^3+2*q^2-2*q+1),
  (q-1)*(q+1)*(q^2-q+1)*(3*q^8+q^7-2*q^6+2*q^5-3*q^4+2*q^3-q^2+q-1),
  -(q+1)*(q^2+q+1)*(q^2+1)*(q^2-q+1)*(q-1)^3,
  -(q-1)*(q+1)*(2*q^9-q^8-q^7+4*q^6-5*q^5+6*q^4-4*q^3+3*q^2-2*q+1),
  (q^8+3*q^7+2*q^6+3*q^5+q^4-2*q^3+q^2+1)*(q-1)^2,
  (q+1)*(2*q^4-2*q^3+2*q^2-q+1)*(q-1)^2, (2*q^5-q^4-2*q^3+q^2+1)*(q-1)^2,
  -(q-1)*(4*q^5+2*q^4-5*q^3+q^2-q+1), -4*q^6+2*q^5+q^4-2*q^3+2*q^2-2*q+1,
  -(q-1)*(q+1)*(q^2-q+1)^2, -(q-1)*(q^2+q-1)*(q^3-2*q^2-1),
  (q^2-q+1)*(2*q^2-q+1), (q-1)*(2*q^4+q^3-q^2+q-1), -(q-1)*(3*q^2-q+1),
  -(q-1)*(q^3+q^2-q+1), -q^3+4*q^2-2*q+1, (q-1)*(q^2+q-1), 2*q^2-2*q+1,
  -2*q+1, 1],

 [[`A_2+A_1`], -(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^3,
  -(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q^2+q+1)^2*(q^2+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^3,
  (q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^9-q^7+q^6-q^5+q^4-q+1)*(q-1)^2*(q+1)^2*(q^2+q+1)^2,
  -(q+1)*(q^2+1)*(q^2+q+1)*(q^12+2*q^11+q^10+2*q^9+q^8+q^7+2*q^6+q^5+2*q^4+q^2+1)*(q-1)^3,
  -(q-1)*(q+1)*(q^2-q+1)*(2*q^12-q^10-2*q^9+3*q^6-q^5+q^4-2*q^3+q^2+1),
  (q-1)*(q+1)*(q^2-q+1)*(4*q^10+q^9+q^8+q^7-2*q^6+2*q^5-q^4+2*q^3-q^2-1),
  (q+1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(2*q^6+2*q^5+q^4-q^3+1)*(q-1)^2,
  1-q+q^2-q^5+q^6-3*q^8+q^9+q^12-q^10+2*q^4-2*q^3-2*q^13+q^11,
  (q-1)*(q^2+q+1)*(2*q^9+q^3-q^2+q-1),
  (q-1)*(q^10+q^9-2*q^7-2*q^6-q^5-q^4+q^3-q^2-1),
  -(q-1)*(q+1)*(3*q^4-3*q^3+q^2-q+1)*(q^2+1), -(q-1)*(q^6-q^3+q^2+1),
  -q^6-q^7+q^5+q^4-3*q^3+q^2-q+1, -(q+1)*(6*q^5-8*q^4+7*q^3-3*q^2+2*q-1),
  (q-1)*(q^3-q^2-1), -(q-1)*(q^2+q+1)*(q^2-q+1), -3*q^3+q^2-q+1,
  -(q-1)*(q+1)*(2*q^2+1)*(q^2-q+1), -(q^2+1)*(q^3+q-1), -2*q^4-q^3+2*q^2-q+1,
  2*q^4-q^3+q^2-q+1, 2*q^2-q+1, -2*q^3-q+1, q^2-q+1, -q+1, 1],

 [[`2A_2+A_1`], -(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3*(q+1)^5,
  -(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3*(q+1)^5,
  -(q^2+1)*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(2*q^10+q^9+q^8+q^7+2*q^6+q^5+q^4+q^2+q+1)*(q-1)^3*(q+1)^4,
  -(q^2+1)*(q^9-2*q^8+q^7-q^4+q-1)*(q-1)^2*(q^2+q+1)^2*(q+1)^3,
  (q-1)*(q^13+q^12+q^11+2*q^9-2*q^6+q^4+q^3-q^2-q-1)*(q+1)^2,
  (1+q+2*q^2+q^4+2*q^5+4*q^6+3*q^7+2*q^8+q^9+3*q^10)*(q-1)^2*(q+1)^3,
  -(q^2+1)*(q^2+q+1)*(q^7-q^6+q^3-q-1)*(q-1)^2*(q+1)^2,
  -(2*q^11-2*q^10+q^9+q^8+2*q^7-2*q^6-q^5+2*q^3-1)*(q+1)^2,
  -(q-1)*(q+1)*(q^2+q+1)*(q^8-q^7+q^6+2*q^5+q^4-q^3+q+1),
  (q-1)*(q+1)*(q^9+q^6+3*q^5+2*q^4-2*q^2-2*q-1), -(q-1)*(q^2+1)*(q+1)^3,
  -(q-1)*(q^6+2*q^3+4*q^2+3*q+1), -(q^2-q+1)*(q^3-q-1)*(q+1)^2,
  (2*q^3+1)*(q+1)^2, -(q-1)*(q+1)*(2*q^2+2*q+1),
  (q-1)*(6*q^5+5*q^4-4*q^2-3*q-1), (q+1)^2, (q-1)^2*(q+1)^4,
  -(q+1)*(q^4+2*q^3-q-1), -(2*q^2-1)*(q+1)^2, -(q+1)*(q^3-q-1),
  -3*q^3-q^2+2*q+1, q^3+3*q^2+2*q+1, (q+1)^2, 2*q+1, 1],

 [[`A_5`], -(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q^2+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^5,
  -(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q^2+1)^2*(q^2-q+1)^2*(q-1)^3*(q+1)^5,
  (q^2+1)*(q^4-q^3+q^2-q+1)*(q^2-q+1)*(q^4+1)*(1-q^3+q^6)*(q-1)^2*(q+1)^4,
  (q^2-q+1)*(q^2+q+1)*(q^3-q+1)*(1-q^3+q^6)*(q^2+1)*(q-1)^2*(q+1)^3,
  -(q-1)*(q^2+1)*(q^11-q^10+q^8-q^6+q^4-q+1)*(q+1)^2,
  (q^2-q+1)*(q^8+q^6+q^4-q^3+q^2+1)*(q-1)^2*(q+1)^3,
  (q^2+1)*(q^9+q^6+q^5+q^4+1)*(q-1)^2*(q+1)^2,
  -(q-1)*(q^2-q+1)*(q^6+q^5-q^3+1)*(q+1)^2,
  -(q-1)*(q+1)*(q^2-q+1)*(q^2+q+1)*(q^6-q^2+1),
  -(q-1)*(q^8-q^7+q^6+q^4-q^3+q^2-q+1)*(q+1)^2, (q^2+1)*(q-1)^2*(q+1)^2,
  (q+1)*(q^6-q+1), (q-1)*(q+1)*(q^5+q^4-1), -(2*q^3-2*q^2+2*q-1)*(q+1)^2,
  -(q-1)*(q+1), (q+1)*(q^4-q+1), -(q-1)*(q+1), (q^2+1)*(q-1)^2*(q+1)^2,
  (q+1)*(q^4-q+1), -(q-1)*(q+1), (q-1)*(q^3-q-1), -q^3-q^2+1, -q^3-q^2+1,
  -(q-1)*(q+1), 1, 1],

 [[`D_5`], -(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3*(q^2-q+1)^3*(q+1)^5,
  -(q^4-q^3+q^2-q+1)*(q^4-q^2+1)*(1-q^3+q^6)*(q^2+1)^2*(q^2+q+1)^2*(q-1)^3*(q^2-q+1)^3*(q+1)^5,
  (q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(1-q^3+q^6)*(q-1)^2*(q^2-q+1)^2*(q+1)^4,
  (q^2-q+1)*(q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^2+1)*(q-1)^2*(q+1)^3,
  (q-1)*(q^2-q+1)*(q^11-q^7+q^3-q^2-1)*(q+1)^2,
  -(q-1)*(q^7+q^6-q^5-2*q^3+q^2+1)*(q^2-q+1)^2*(q+1)^3,
  (q-1)*(q+1)*(q^2+1)*(q^2+q+1)*(q^2-q+1)*(q^7-q^6-q^5+q^2-1),
  -(q-1)*(q^2-q+1)*(q^2+1)*(q^5-q^3+1)*(q+1)^2,
  (q^2+1)*(q^2+q+1)*(q^2-q+1)*(q-1)^2*(q+1)^2,
  -(q-1)*(q+1)*(q^8+q^7+q^5+q^2+1), -(q-1)*(q^5-q^3+q^2-q+1)*(q^2+1)*(q+1)^2,
  -(q-1)*(q+1)*(q^2+1), (q-1)*(q+1)*(q^4-q^2-1), (2*q^2+1)*(q-1)^2*(q+1)^2,
  2*q^6-q^4+1, -(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1), (q-1)*(q+1)*(q^4-q^2-1),
  (q+1)*(q^2-q+1), -(q-1)*(q+1)*(q^2+1), (q+1)*(q^2-q+1), -(q-1)*(q+1)*(q^2+1),
  (q+1)*(q^2-q+1), -(q-1)*(q^2+q+1), 1, 1, 1],

 [[`A_4+A_1`], -(1-q^3+q^6)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q^2-q+1)^3*(q+1)^5,
  -(1-q^3+q^6)*(q^4+1)*(q^4-q^2+1)*(q^2+q+1)^2*(q^2+1)^2*(q-1)^3*(q^2-q+1)^3*(q+1)^5,
  -(q^2+q+1)*(q^2+1)*(q^7-q^6+q^5-q^4+q^3-q^2-1)*(q^4-q^2+1)*(q-1)^2*(q^2-q+1)^2*(q+1)^4,
  (q^2+1)*(q^4-q^2+1)*(q-1)^2*(q^2+q+1)^2*(q^2-q+1)^2*(q+1)^3,
  (q-1)*(q^2-q+1)*(q^7-q^2-q-1)*(q+1)^2,
  -(q-1)*(q^6-q^4-q^3+q^2+q+1)*(q^2-q+1)^2*(q+1)^3,
  (q^2+q+1)*(q^2+1)*(q^2-q+1)*(q^4+q+1)*(q-1)^2*(q+1)^2,
  (q^7+2*q^6-2*q^4-2*q^3+q+1)*(q+1)^2*(q^2-q+1)^2,
  (q-1)*(q^2+q+1)*(q^3-q-1)*(q+1)^2*(q^2-q+1)^2,
  (q-1)*(q+1)*(q^8+q^7-q^4-q^3-q^2-q-1), (q-1)*(q^2+1)*(q^5-q^3-1)*(q+1)^2,
  -(q-1)*(q+1)*(2*q^4+q^3+q^2+q+1), -(q-1)*(q+1)*(2*q^4+2*q^3+q^2+q+1),
  -(q-1)*(2*q^2-q+1)*(q+1)^3, -(q-1)*(q+1)*(2*q^4+q^3+q^2+q+1),
  -(q-1)*(q+1)*(q^2-q+1)*(2*q^2+2*q+1), -(q+1)*(q^5-q^3-1),
  -(q-1)*(q^2-q+1)*(q+1)^3, q^4+q+1, (q+1)*(q^3-q^2+1), q+1, -q^2+q+1,
  q^2+q+1, q+1, q+1, 1],

 [[`D_5(a_1)`], -(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q-1)^3*(q^2-q+1)^3*(q+1)^5,
  -(q^2+1)*(q^4-q^3+q^2-q+1)*(q^2+q+1)*(q^4-q^2+1)*(q^4+1)*(1-q^3+q^6)*(q-1)^3*(q^2-q+1)^3*(q+1)^5,
  (q^2+q+1)*(q^4-q^3+q^2-q+1)*(q^9-q^7+q^6-q^5+q^4-q+1)*(q-1)^2*(q^2-q+1)^2*(q+1)^4,
  (q^2-q+1)*(q^13-q^12+q^11-q^10+q^9-q^7+q^6-q^5+2*q^4-q^3+q^2-q+1)*(q-1)^2*(q+1)^3,
  -(q-1)*(q^2-q+1)*(q^9-q^8+q^7-q^6+q^4-q+1)*(q+1)^2,
  (q^4-q^3+1)*(q-1)^2*(q^2-q+1)^2*(q+1)^3,
  -(q-1)*(q+1)*(q^2+q+1)*(q^2-q+1)*(2*q^9-q^7+2*q^3-q^2-q+1),
  -(q-1)*(q^2-q+1)*(q^7-q^6+q^4-q+1)*(q+1)^2,
  (q^2-q+1)*(q-1)^2*(q+1)^2, (q+1)*(q^3-q+1)*(q^7-q^6+q^5-q+1),
  (q^4-q^3+q^2-q+1)*(q-1)^2*(q+1)^2, -(q-1)*(q+1)*(q^5-q^4+q^3-q+1),
  -(q^2+1)*(q+1)^2*(q-1)^3, (q+1)*(2*q^5-q^3+q^2-2*q+1), -(q-1)*(q^3-q^2+1),
  (q+1)*(q^2-q+1)*(2*q^3-q^2-q+1), (q+1)*(q-1)^2, -(q-1)*(q+1)*(q^2-q+1),
  -(q-1)*(q+1)*(q^3-q+1), q^3-q+1, (q+1)*(q-1)^2, -q+1, (q-1)*(2*q^2-1),
  -q-q^2+1, -q+1, 1]
]):

KlassentypOrd2E6005green:=array(1..25,[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]):

NurPolynom2E6005green:=true:

# 5) Informationen:
Information.`2E6005green`:=TEXT(
`- Information about the Green functions of $^2E_6(q)$, $p>3$.`,
``,
`- CHEVIE-name of the table: ``2E6n23green```,
``,
`- The table was first computed in:`,
`  {\\sc W. M. Beynon, N. Spaltenstein}, Green functions of finite`,
`    Chevalley groups of type $E_n$ ($n=6,7,8$),`,
`    {\\em J. Algebra \\bf88} (1984), 584--614.`,
``
):

g := `2E6n23green`;
print(`g := ``2E6n23green`` `);
