//Standard generators of L2(41) are a and b where a has order 2, b has order 3
//and ab has order 41.
//Standard generators of the double cover 2.L2(37) = SL2(37) are preimages A and
//B where B has order 3 and AB has order 41.
_LR := rec < recformat< F: GrpFP, AI: SeqEnum, G: GrpMat > |
      F := FreeGroup(2) >;
_LR`AI:=[[a^-1,b*a*b*a*b*a*b*a*b^-1*a*b*a*b*a*b^-1*a*b^-1*a*b ]]
             where a is (_LR`F).1 where b is (_LR`F).2;
//6 constituents
_LR`G :=
/*
Original group: c9Group("l241p")
From DB /nb/reps/l2/l241/d40.l241.deg6.X8.M
Schur index: 1
Character: ( 40, 0, 1, 0, 0, 0, zeta(21)_7^5 + zeta(21)_7^4 + zeta(21)_7^3 + 
zeta(21)_7^2 + 1, -zeta(21)_7^5 - zeta(21)_7^2, -zeta(21)_7^4 - zeta(21)_7^3, 0,
0, 0, 0, 0, 0, -zeta(21)_3*zeta(21)_7^5 + zeta(21)_3*zeta(21)_7^2 + 
zeta(21)_7^2, -zeta(21)_3*zeta(21)_7^4 + zeta(21)_3*zeta(21)_7^3 + zeta(21)_7^3,
zeta(21)_3*zeta(21)_7^5 + zeta(21)_3*zeta(21)_7^4 + zeta(21)_3*zeta(21)_7^3 + 
zeta(21)_3*zeta(21)_7^2 + 2*zeta(21)_3*zeta(21)_7 + zeta(21)_3 + zeta(21)_7, 
zeta(21)_3*zeta(21)_7^4 - zeta(21)_3*zeta(21)_7^3 + zeta(21)_7^4, 
zeta(21)_3*zeta(21)_7^5 - zeta(21)_3*zeta(21)_7^2 + zeta(21)_7^5, 
-zeta(21)_3*zeta(21)_7^5 - zeta(21)_3*zeta(21)_7^4 - zeta(21)_3*zeta(21)_7^3 - 
zeta(21)_3*zeta(21)_7^2 - 2*zeta(21)_3*zeta(21)_7 - zeta(21)_3 - zeta(21)_7^5 - 
zeta(21)_7^4 - zeta(21)_7^3 - zeta(21)_7^2 - zeta(21)_7 - 1, -1, -1 )
*/

MatrixGroup<40,K | [
Matrix(K,40,40,
[[13/41,-18/41,-12/41,12/41,2/41,-2/41],[12/41,-35/41,
8/41,31/41,-3/41,-6/41],[-32/41,67/41,32/41,-55/41,
-6/41,10/41],[12/41,-16/41,0,10/41,-1/41,-2/41],[
10/41,-34/41,-4/41,24/41,0,-4/41],[0,-23/41,-6/41,
11/41,2/41,-1/41],[12/41,-38/41,-12/41,40/41,2/41,
-8/41],[0,0,0,0,0,0],[6/41,-5/41,-9/41,-1/41,
2/41,1/41],[10/41,7/41,-2/41,-1/41,-1/41,0],[3/41,
12/41,-1/41,-9/41,0,2/41],[-13/41,12/41,10/41,-4/41,
-2/41,0],[-20/41,26/41,12/41,-8/41,-2/41,0],[15/41,
0,-20/41,0,4/41,0],[4/41,11/41,-14/41,-9/41,3/41,
2/41],[18/41,-50/41,-6/41,28/41,0,-4/41],[-19/41,
52/41,14/41,-44/41,-2/41,8/41],[20/41,-79/41,-4/41,
65/41,-1/41,-12/41],[-8/41,-6/41,-5/41,-6/41,2/41,
2/41],[-7/41,-5/41,11/41,4/41,-2/41,-1/41],[-16/41,
29/41,25/41,-15/41,-6/41,2/41],[-10/41,34/41,4/41,
-24/41,0,4/41],[2/41,-12/41,8/41,18/41,-2/41,-4/41],
[16/41,-6/41,-19/41,4/41,4/41,-1/41],[-3/41,6/41,
8/41,-16/41,-2/41,4/41],[-20/41,61/41,14/41,-1,-2/41,
7/41],[-9/41,38/41,7/41,-22/41,-2/41,3/41],[22/41,
-37/41,-20/41,21/41,4/41,-3/41],[2/41,-47/41,8/41,
36/41,-3/41,-6/41],[-6/41,25/41,-10/41,-14/41,4/41,
2/41],[9/41,14/41,-23/41,-14/41,6/41,3/41],[-6/41,
-4/41,0,2/41,1/41,0],[2/41,8/41,-18/41,-16/41,6/41,
4/41],[5/41,0,-3/41,-4/41,1/41,1/41],[-8/41,17/41,
1/41,-17/41,0,3/41],[0,0,0,0,0,0],[16/41,-42/41,
-6/41,33/41,0,-6/41],[0,-29/41,0,25/41,0,-5/41],
[-7/41,34/41,14/41,-14/41,-4/41,1/41],[-7/41,16/41,
-3/41,-14/41,2/41,3/41],[17/41,-12/41,-12/41,18/41,
2/41,-4/41],[-12/41,-12/41,28/41,10/41,-7/41,-2/41],
[-10/41,27/41,4/41,-27/41,0,5/41],[6/41,-20/41,0,
12/41,0,-2/41],[-6/41,20/41,0,-12/41,0,2/41],[2/41,
-27/41,1/41,19/41,0,-3/41],[2/41,18/41,-8/41,-12/41,
2/41,2/41],[0,0,0,0,0,0],[-16/41,3/41,11/41,3/41,
-2/41,-1/41],[14/41,-47/41,20/41,42/41,-8/41,-8/41],
[-10/41,52/41,0,-38/41,1/41,7/41],[-6/41,4/41,10/41,
-8/41,-2/41,2/41],[-4/41,0,-5/41,0,2/41,0],[18/41,
-17/41,-21/41,16/41,4/41,-3/41],[24/41,-68/41,-18/41,
56/41,2/41,-10/41],[14/41,-27/41,-5/41,17/41,0,-3/41
],[-22/41,50/41,16/41,-36/41,-2/41,6/41],[-2/41,
-29/41,12/41,29/41,-3/41,-6/41],[-8/41,17/41,1/41,
-17/41,0,3/41],[7/41,-39/41,-3/41,36/41,0,-7/41],
[0,0,0,0,0,0],[2/41,4/41,-2/41,-8/41,0,2/41],[
-15/41,0,20/41,0,-4/41,0],[25/41,-28/41,-29/41,19/41,
6/41,-3/41],[6/41,-25/41,10/41,14/41,-4/41,-2/41],
[2/41,17/41,8/41,-7/41,-2/41,1/41],[-5/41,18/41,0,
-12/41,0,2/41],[22/41,-8/41,-20/41,-4/41,4/41,2/41],
[4/41,-38/41,-4/41,26/41,1/41,-4/41],[-14/41,63/41,
-8/41,-46/41,4/41,8/41],[-8/41,43/41,-8/41,-34/41,
4/41,6/41],[8/41,-45/41,-14/41,31/41,3/41,-5/41],[
0,3/41,8/41,-7/41,-2/41,2/41],[-9/41,-8/41,3/41,6/41,
0,-1/41],[-4/41,-6/41,0,-6/41,0,2/41],[4/41,22/41,
2/41,-22/41,-1/41,4/41],[9/41,5/41,-11/41,1/41,2/41,
-1/41],[-20/41,16/41,2/41,-12/41,2/41,2/41],[-7/41,
34/41,14/41,-14/41,-4/41,1/41],[5/41,0,-3/41,-4/41,
1/41,1/41],[-7/41,11/41,8/41,-3/41,-2/41,0],[10/41,
-52/41,0,38/41,-1/41,-7/41],[-30/41,72/41,6/41,-64/41,
2/41,12/41],[20/41,-61/41,-14/41,1,2/41,-7/41],[16/41,
-24/41,-6/41,22/41,0,-4/41],[16/41,-61/41,-13/41,51/41,
2/41,-9/41],[-20/41,26/41,12/41,-8/41,-2/41,0],[0,0,
0,0,0,0],[0,-23/41,-6/41,11/41,2/41,-1/41],[7/41,
0,15/41,10/41,-6/41,-3/41],[-6/41,-2/41,22/41,5/41,
-6/41,-1/41],[3/41,-27/41,12/41,22/41,-4/41,-4/41],
[-4/41,23/41,1/41,-11/41,0,1/41],[1/41,12/41,-6/41,
-4/41,2/41,0],[14/41,-12/41,-14/41,4/41,2/41,0],[
18/41,-50/41,-6/41,28/41,0,-4/41],[-18/41,72/41,18/41,
-58/41,-3/41,10/41],[-10/41,9/41,14/41,-3/41,-3/41,0],
[1/41,-5/41,-9/41,-2/41,2/41,1/41],[-15/41,11/41,13/41,
0,-2/41,-1/41],[2/41,-4/41,7/41,8/41,-2/41,-2/41],
[-2/41,27/41,-1/41,-19/41,0,3/41],[-10/41,23/41,0,
-13/41,1/41,2/41],[12/41,12/41,-28/41,-10/41,7/41,2/41
],[8/41,-16/41,-2/41,4/41,0,0],[-15/41,29/41,20/41,
-25/41,-4/41,5/41],[-8/41,16/41,2/41,-4/41,0,0],[
25/41,-25/41,-21/41,12/41,4/41,-1/41],[-12/41,16/41,0,
-10/41,1/41,2/41],[-2/41,47/41,-8/41,-36/41,3/41,6/41
],[4/41,13/41,-14/41,-18/41,4/41,4/41],[8/41,-16/41,
-14/41,6/41,3/41,0],[16/41,-26/41,-17/41,8/41,4/41,0],
[-2/41,-16/41,3/41,2/41,0,1/41],[0,0,0,0,0,0],
[-2/41,18/41,2/41,-20/41,0,4/41],[9/41,5/41,-11/41,
1/41,2/41,-1/41],[-22/41,11/41,28/41,-3/41,-6/41,0],
[-3/41,14/41,7/41,-4/41,-2/41,0],[-9/41,-8/41,3/41,
6/41,0,-1/41],[7/41,16/41,-6/41,-6/41,1/41,0],[
-4/41,-11/41,14/41,9/41,-3/41,-2/41],[-10/41,27/41,4/41,
-27/41,0,5/41],[14/41,-27/41,-5/41,17/41,0,-3/41],[
10/41,-34/41,-4/41,24/41,0,-4/41],[4/41,-23/41,-1/41,
11/41,0,-1/41],[-20/41,26/41,12/41,-8/41,-2/41,0],[
0,0,0,0,0,0],[-9/41,-5/41,11/41,-1/41,-2/41,1/41],
[5/41,-16/41,18/41,12/41,-6/41,-2/41],[2/41,17/41,
8/41,-7/41,-2/41,1/41],[-11/41,20/41,-8/41,-20/41,
4/41,4/41],[-4/41,-13/41,14/41,18/41,-4/41,-4/41],
[9/41,-31/41,2/41,30/41,-2/41,-6/41],[6/41,4/41,0,
-2/41,-1/41,0],[11/41,-36/41,-4/41,24/41,0,-4/41],
[-32/41,64/41,24/41,-48/41,-4/41,8/41],[8/41,-1,8/41,
25/41,-3/41,-4/41],[-6/41,-10/41,2/41,2/41,0,0],
[-9/41,22/41,10/41,-15/41,-2/41,2/41],[-8/41,30/41,
11/41,-16/41,-2/41,2/41],[-9/41,38/41,7/41,-22/41,
-2/41,3/41],[-12/41,-6/41,12/41,16/41,-2/41,-4/41],
[2/41,21/41,-14/41,-13/41,4/41,2/41],[-10/41,17/41,
16/41,-19/41,-4/41,4/41],[10/41,-27/41,-4/41,27/41,0,
-5/41],[4/41,22/41,-10/41,-20/41,2/41,4/41],[12/41,
15/41,-20/41,-17/41,5/41,4/41],[2/41,-34/41,-11/41,
18/41,3/41,-2/41],[8/41,19/41,-14/41,-12/41,4/41,2/41],
[-7/41,47/41,-5/41,-32/41,2/41,5/41],[11/41,-33/41,
-15/41,22/41,3/41,-3/41],[25/41,-25/41,-21/41,12/41,
4/41,-1/41],[13/41,-45/41,-17/41,27/41,4/41,-4/41],[
-14/41,6/41,4/41,-2/41,0,0],[6/41,-12/41,-9/41,-4/41,
2/41,2/41],[12/41,12/41,-28/41,-10/41,7/41,2/41],[
0,0,0,0,0,0],[16/41,-38/41,-7/41,40/41,0,-8/41],
[-9/41,-5/41,11/41,-1/41,-2/41,1/41],[11/41,-22/41,
-10/41,20/41,2/41,-4/41],[-10/41,9/41,14/41,-3/41,
-3/41,0],[-8/41,44/41,12/41,-34/41,-2/41,6/41],[
16/41,-54/41,-4/41,36/41,0,-6/41],[5/41,-16/41,-4/41,
12/41,0,-2/41],[6/41,-5/41,-9/41,-1/41,2/41,1/41],[
2/41,18/41,-8/41,-12/41,2/41,2/41],[0,0,0,0,0,0],
[9/41,-22/41,-10/41,15/41,2/41,-2/41],[22/41,-28/41,
6/41,30/41,-4/41,-6/41],[-2/41,11/41,8/41,-13/41,
-2/41,3/41],[3/41,-27/41,12/41,22/41,-4/41,-4/41],
[-12/41,30/41,6/41,-16/41,0,2/41],[-5/41,32/41,-6/41,
-16/41,2/41,2/41],[14/41,-1,-14/41,29/41,2/41,-5/41],
[5/41,-32/41,6/41,16/41,-2/41,-2/41],[-32/41,67/41,
32/41,-55/41,-6/41,10/41],[4/41,-1,3/41,25/41,-1/41,
-4/41],[-4/41,-6/41,0,-6/41,0,2/41],[-25/41,25/41,
21/41,-12/41,-4/41,1/41],[16/41,-38/41,-7/41,40/41,0,
-8/41],[-18/41,30/41,10/41,-16/41,-2/41,2/41],[-8/41,
16/41,14/41,-6/41,-3/41,0],[16/41,-6/41,-19/41,4/41,
4/41,-1/41],[-1/41,22/41,5/41,-18/41,-2/41,3/41],
[-12/41,23/41,12/41,-9/41,-2/41,1/41],[-16/41,38/41,
-8/41,-32/41,4/41,6/41],[10/41,-14/41,-8/41,12/41,2/41,
-2/41],[-5/41,0,3/41,4/41,-1/41,-1/41],[0,36/41,
-13/41,-29/41,4/41,5/41],[-2/41,47/41,-8/41,-36/41,
3/41,6/41],[18/41,-72/41,-18/41,58/41,3/41,-10/41],
[12/41,15/41,-20/41,-17/41,5/41,4/41],[3/41,7/41,
-17/41,-11/41,5/41,3/41],[-8/41,-19/41,14/41,12/41,
-4/41,-2/41],[6/41,-12/41,-9/41,-4/41,2/41,2/41],
[0,0,0,0,0,0],[-15/41,0,20/41,0,-4/41,0],
[6/41,-11/41,-3/41,13/41,0,-3/41],[16/41,-33/41,
-18/41,18/41,4/41,-2/41],[9/41,-18/41,-17/41,12/41,
4/41,-2/41],[6/41,-45/41,10/41,33/41,-3/41,-6/41],
[0,0,0,0,0,0],[18/41,-50/41,-6/41,28/41,0,-4/41],
[14/41,-12/41,-14/41,4/41,2/41,0],[-16/41,3/41,11/41,
3/41,-2/41,-1/41],[-8/41,1,-8/41,-25/41,3/41,4/41],
[0,0,0,0,0,0],[0,-36/41,13/41,29/41,-4/41,-5/41],
[12/41,0,12/41,6/41,-5/41,-2/41],[-12/41,23/41,12/41,
-9/41,-2/41,1/41],[-6/41,4/41,10/41,-8/41,-2/41,2/41],
[-11/41,34/41,9/41,-14/41,-2/41,1/41],[17/41,-12/41,
-12/41,18/41,2/41,-4/41],[17/41,-29/41,-15/41,20/41,
2/41,-3/41],[0,-16/41,-12/41,4/41,4/41,0],[-7/41,
39/41,3/41,-36/41,0,7/41],[4/41,-54/41,22/41,43/41,
-7/41,-8/41],[-15/41,28/41,9/41,-20/41,-2/41,3/41],
[-18/41,17/41,21/41,-16/41,-4/41,3/41],[-2/41,34/41,
11/41,-18/41,-3/41,2/41],[4/41,-7/41,-10/41,5/41,2/41,
-1/41],[-6/41,-18/41,3/41,12/41,0,-2/41],[13/41,
-15/41,-18/41,11/41,4/41,-2/41],[2/41,29/41,-12/41,
-29/41,3/41,6/41],[-22/41,37/41,20/41,-21/41,-4/41,
3/41],[4/41,22/41,-10/41,-20/41,2/41,4/41],[20/41,
-26/41,-12/41,8/41,2/41,0],[18/41,-72/41,-18/41,58/41,
3/41,-10/41],[2/41,9/41,-12/41,-10/41,4/41,2/41],[
-16/41,42/41,6/41,-33/41,0,6/41],[2/41,-11/41,-5/41,
7/41,1/41,-1/41],[2/41,24/41,-6/41,-20/41,2/41,4/41],
[15/41,-28/41,-9/41,20/41,2/41,-3/41],[-24/41,23/41,
20/41,-21/41,-4/41,4/41],[-2/41,18/41,2/41,-20/41,
0,4/41],[8/41,1/41,-14/41,-1/41,4/41,0],[-12/41,
-6/41,12/41,16/41,-2/41,-4/41],[6/41,-11/41,-3/41,
13/41,0,-3/41],[-7/41,16/41,-3/41,-14/41,2/41,3/41],
[25/41,-56/41,-24/41,52/41,4/41,-10/41],[10/41,-23/41,
0,13/41,-1/41,-2/41],[-32/41,64/41,24/41,-48/41,-4/41,
8/41],[-2/41,-24/41,6/41,20/41,-2/41,-4/41],[14/41,
-12/41,-14/41,4/41,2/41,0],[-4/41,18/41,-9/41,-14/41,
3/41,3/41],[0,0,0,0,0,0],[0,0,0,0,0,0],[
8/41,-17/41,-1/41,17/41,0,-3/41],[14/41,-34/41,1/41,
24/41,-2/41,-4/41],[-22/41,40/41,28/41,-28/41,-6/41,
5/41],[1/41,20/41,4/41,-14/41,-1/41,2/41],[-20/41,
29/41,20/41,-15/41,-4/41,2/41],[11/41,-22/41,-10/41,
20/41,2/41,-4/41],[8/41,-7/41,-5/41,5/41,0,-1/41],
[5/41,-32/41,6/41,16/41,-2/41,-2/41],[-30/41,88/41,
18/41,-68/41,-2/41,12/41],[-3/41,-7/41,17/41,11/41,
-5/41,-3/41],[-2/41,-17/41,-8/41,7/41,2/41,-1/41],
[-9/41,-14/41,23/41,14/41,-6/41,-3/41],[9/41,1/41,
-4/41,4/41,0,-1/41],[6/41,10/41,-2/41,-2/41,0,0],
[-14/41,12/41,14/41,-4/41,-2/41,0],[2/41,5/41,-26/41,
-9/41,8/41,2/41],[-2/41,18/41,2/41,-20/41,0,4/41],
[3/41,12/41,-1/41,-9/41,0,2/41],[-8/41,16/41,2/41,
-4/41,0,0],[16/41,-39/41,2/41,26/41,-2/41,-4/41],
[8/41,-45/41,-14/41,31/41,3/41,-5/41],[-7/41,47/41,
-5/41,-32/41,2/41,5/41],[-14/41,63/41,-8/41,-46/41,4/41,
8/41],[-7/41,-16/41,6/41,6/41,-1/41,0],[16/41,-3/41,
-11/41,-3/41,2/41,1/41],[1/41,-22/41,-5/41,18/41,2/41,
-3/41],[-12/41,35/41,-8/41,-31/41,3/41,6/41],[4/41,
22/41,2/41,-22/41,-1/41,4/41],[18/41,-33/41,-18/41,
23/41,4/41,-4/41],[-6/41,-18/41,3/41,12/41,0,-2/41
],[16/41,-38/41,-7/41,40/41,0,-8/41],[4/41,-20/41,
-7/41,10/41,2/41,-1/41],[6/41,-4/41,-10/41,8/41,2/41,
-2/41],[1/41,-27/41,10/41,21/41,-3/41,-4/41],[-19/41,
52/41,14/41,-44/41,-2/41,8/41],[11/41,-36/41,-4/41,
24/41,0,-4/41],[5/41,-16/41,-4/41,12/41,0,-2/41],
[-3/41,-9/41,1/41,7/41,0,-1/41],[-7/41,14/41,2/41,
-4/41,0,0],[1,0,0,0,0,0],[-3/41,-9/41,1/41,
7/41,0,-1/41],[11/41,-20/41,8/41,20/41,-4/41,-4/41],
[-9/41,25/41,10/41,-17/41,-2/41,3/41],[0,0,0,0,
0,0],[-7/41,14/41,2/41,-4/41,0,0],[6/41,-4/41,
-10/41,8/41,2/41,-2/41],[5/41,-16/41,-4/41,12/41,0,
-2/41],[11/41,-36/41,-4/41,24/41,0,-4/41],[-19/41,
52/41,14/41,-44/41,-2/41,8/41],[1/41,-27/41,10/41,
21/41,-3/41,-4/41],[-11/41,8/41,2/41,-10/41,0,2/41],
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29/41,15/41,-20/41,-2/41,3/41],[9/41,-31/41,2/41,
30/41,-2/41,-6/41],[0,23/41,6/41,-11/41,-2/41,1/41],
[16/41,-26/41,-17/41,8/41,4/41,0],[-10/41,56/41,4/41,
-52/41,0,10/41],[4/41,-23/41,-1/41,11/41,0,-1/41],
[4/41,22/41,2/41,-22/41,-1/41,4/41],[5/41,23/41,
-20/41,-13/41,5/41,2/41],[9/41,-22/41,-10/41,15/41,
2/41,-2/41],[-20/41,45/41,2/41,-37/41,2/41,7/41],
[7/41,-8/41,0,-4/41,0,2/41],[2/41,-4/41,7/41,8/41,
-2/41,-2/41],[-22/41,50/41,16/41,-36/41,-2/41,6/41],
[-13/41,40/41,1/41,-29/41,1/41,5/41],[2/41,9/41,
-12/41,-10/41,4/41,2/41],[-17/41,12/41,12/41,-18/41,
-2/41,4/41],[-3/41,-2/41,2/41,8/41,0,-2/41],[3/41,
-17/41,-1/41,16/41,0,-3/41],[-16/41,54/41,4/41,-36/41,
0,6/41],[12/41,-30/41,-6/41,16/41,0,-2/41],[22/41,
-40/41,-28/41,28/41,6/41,-5/41],[0,29/41,0,-25/41,0,
5/41],[16/41,-29/41,-25/41,15/41,6/41,-2/41],[-4/41,
23/41,1/41,-11/41,0,1/41],[4/41,-54/41,22/41,43/41,
-7/41,-8/41],[-6/41,-4/41,0,2/41,1/41,0],[0,0,0,
0,0,0],[-2/41,-5/41,26/41,9/41,-8/41,-2/41],[4/41,
-20/41,-7/41,10/41,2/41,-1/41],[-14/41,-8/41,6/41,10/41,
-1/41,-2/41],[20/41,-79/41,-4/41,65/41,-1/41,-12/41],
[4/41,6/41,0,6/41,0,-2/41],[12/41,-16/41,0,10/41,
-1/41,-2/41],[-7/41,47/41,-5/41,-32/41,2/41,5/41],[
14/41,-1,-14/41,29/41,2/41,-5/41],[22/41,-44/41,-6/41,
34/41,0,-6/41],[14/41,-34/41,-14/41,32/41,2/41,-6/41],
[-22/41,8/41,20/41,4/41,-4/41,-2/41],[0,0,0,0,0,0],
[10/41,-12/41,-4/41,-4/41,0,2/41],[-9/41,-14/41,23/41,
14/41,-6/41,-3/41],[-5/41,16/41,-18/41,-12/41,6/41,2/41
],[0,-13/41,19/41,18/41,-6/41,-4/41],[7/41,-8/41,0,
-4/41,0,2/41],[-18/41,72/41,18/41,-58/41,-3/41,10/41],
[-3/41,-9/41,1/41,7/41,0,-1/41],[-10/41,14/41,8/41,
-12/41,-2/41,2/41],[3/41,-6/41,-8/41,16/41,2/41,-4/41],
[2/41,-27/41,1/41,19/41,0,-3/41],[0,0,0,0,0,0],
[22/41,-37/41,-20/41,21/41,4/41,-3/41],[-8/41,30/41,
11/41,-16/41,-2/41,2/41],[-16/41,61/41,13/41,-51/41,
-2/41,9/41],[-23/41,49/41,15/41,-32/41,-2/41,5/41],
[-16/41,42/41,6/41,-33/41,0,6/41],[8/41,-44/41,-12/41,
34/41,2/41,-6/41],[9/41,4/41,-10/41,-8/41,2/41,2/41],
[-10/41,23/41,0,-13/41,1/41,2/41],[-2/41,4/41,-7/41,
-8/41,2/41,2/41],[1/41,4/41,3/41,2/41,-2/41,-1/41],
[8/41,1/41,-14/41,-1/41,4/41,0],[3/41,12/41,-1/41,
-9/41,0,2/41],[25/41,-28/41,-29/41,19/41,6/41,-3/41],
[-11/41,34/41,9/41,-14/41,-2/41,1/41],[12/41,-35/41,
8/41,31/41,-3/41,-6/41],[2/41,-34/41,-11/41,18/41,3/41,
-2/41],[3/41,7/41,-17/41,-11/41,5/41,3/41],[20/41,
-16/41,-2/41,12/41,-2/41,-2/41],[23/41,-72/41,-21/41,
54/41,4/41,-9/41],[-14/41,-5/41,14/41,3/41,-3/41,0],
[-10/41,9/41,14/41,-3/41,-3/41,0],[-10/41,12/41,4/41,
4/41,0,-2/41],[22/41,-44/41,-6/41,34/41,0,-6/41],[
-9/41,31/41,-2/41,-30/41,2/41,6/41],[8/41,-7/41,-5/41,
5/41,0,-1/41],[16/41,-54/41,-4/41,36/41,0,-6/41],
[2/41,4/41,-2/41,-8/41,0,2/41],[-22/41,8/41,20/41,
4/41,-4/41,-2/41],[0,0,0,0,0,0],[-10/41,14/41,
8/41,-12/41,-2/41,2/41],[-9/41,22/41,10/41,-15/41,
-2/41,2/41],[-5/41,32/41,-6/41,-16/41,2/41,2/41],[
-4/41,1,-3/41,-25/41,1/41,4/41],[25/41,-25/41,-21/41,
12/41,4/41,-1/41],[-16/41,38/41,7/41,-40/41,0,8/41],
[-16/41,6/41,19/41,-4/41,-4/41,1/41],[12/41,-23/41,
-12/41,9/41,2/41,-1/41],[15/41,0,-20/41,0,4/41,0],
[0,-36/41,13/41,29/41,-4/41,-5/41],[-6/41,11/41,3/41,
-13/41,0,3/41],[18/41,-30/41,-10/41,16/41,2/41,-2/41],
[-6/41,12/41,9/41,4/41,-2/41,-2/41],[-18/41,72/41,
18/41,-58/41,-3/41,10/41],[-16/41,33/41,18/41,-18/41,
-4/41,2/41],[8/41,19/41,-14/41,-12/41,4/41,2/41],[
8/41,-44/41,-12/41,34/41,2/41,-6/41],[-5/41,16/41,4/41,
-12/41,0,2/41],[-2/41,-18/41,8/41,12/41,-2/41,-2/41],
[-11/41,22/41,10/41,-20/41,-2/41,4/41],[12/41,-30/41,
-6/41,16/41,0,-2/41],[0,0,0,0,0,0],[-14/41,1,
14/41,-29/41,-2/41,5/41],[32/41,-67/41,-32/41,55/41,
6/41,-10/41],[4/41,6/41,0,6/41,0,-2/41],[-3/41,
-7/41,17/41,11/41,-5/41,-3/41],[8/41,-16/41,-14/41,
6/41,3/41,0],[1/41,-22/41,-5/41,18/41,2/41,-3/41],
[16/41,-38/41,8/41,32/41,-4/41,-6/41],[5/41,0,-3/41,
-4/41,1/41,1/41],[2/41,-47/41,8/41,36/41,-3/41,-6/41],
[-12/41,-15/41,20/41,17/41,-5/41,-4/41],[2/41,-11/41,
-8/41,13/41,2/41,-3/41],[5/41,-32/41,6/41,16/41,-2/41,
-2/41],[-3/41,27/41,-12/41,-22/41,4/41,4/41],[17/41,
-29/41,-15/41,20/41,2/41,-3/41],[10/41,-9/41,-14/41,
3/41,3/41,0],[-16/41,54/41,4/41,-36/41,0,6/41],[
-6/41,5/41,9/41,1/41,-2/41,-1/41],[0,0,0,0,0,0],
[-2/41,18/41,2/41,-20/41,0,4/41],[7/41,-39/41,-3/41,
36/41,0,-7/41],[1/41,12/41,-6/41,-4/41,2/41,0],[
2/41,-4/41,7/41,8/41,-2/41,-2/41],[16/41,-26/41,-17/41,
8/41,4/41,0],[-30/41,72/41,6/41,-64/41,2/41,12/41],
[0,-23/41,-6/41,11/41,2/41,-1/41],[8/41,-16/41,-2/41,
4/41,0,0],[-7/41,11/41,8/41,-3/41,-2/41,0],[16/41,
-61/41,-13/41,51/41,2/41,-9/41],[-6/41,-2/41,22/41,5/41,
-6/41,-1/41],[25/41,-25/41,-21/41,12/41,4/41,-1/41],
[-3/41,14/41,7/41,-4/41,-2/41,0],[-18/41,72/41,18/41,
-58/41,-3/41,10/41],[-15/41,11/41,13/41,0,-2/41,-1/41],
[4/41,13/41,-14/41,-18/41,4/41,4/41],[0,0,0,0,0,0],
[3/41,-27/41,12/41,22/41,-4/41,-4/41],[-10/41,23/41,0,
-13/41,1/41,2/41],[-2/41,27/41,-1/41,-19/41,0,3/41],
[14/41,-12/41,-14/41,4/41,2/41,0],[12/41,12/41,-28/41,
-10/41,7/41,2/41],[-15/41,29/41,20/41,-25/41,-4/41,5/41
],[9/41,5/41,-11/41,1/41,2/41,-1/41],[-20/41,26/41,
12/41,-8/41,-2/41,0],[-10/41,9/41,14/41,-3/41,-3/41,
0],[-12/41,16/41,0,-10/41,1/41,2/41],[-9/41,-8/41,
3/41,6/41,0,-1/41],[7/41,0,15/41,10/41,-6/41,-3/41],
[-2/41,-16/41,3/41,2/41,0,1/41],[8/41,-16/41,-14/41,
6/41,3/41,0],[10/41,-52/41,0,38/41,-1/41,-7/41],[
-4/41,23/41,1/41,-11/41,0,1/41],[20/41,-61/41,-14/41,
1,2/41,-7/41],[-2/41,47/41,-8/41,-36/41,3/41,6/41],
[16/41,-24/41,-6/41,22/41,0,-4/41],[18/41,-50/41,
-6/41,28/41,0,-4/41],[-8/41,16/41,2/41,-4/41,0,0],
[-22/41,11/41,28/41,-3/41,-6/41,0],[0,0,0,0,0,0],
[12/41,6/41,-12/41,-16/41,2/41,4/41],[-25/41,25/41,
21/41,-12/41,-4/41,1/41],[9/41,5/41,-11/41,1/41,2/41,
-1/41],[-6/41,12/41,9/41,4/41,-2/41,-2/41],[32/41,
-64/41,-24/41,48/41,4/41,-8/41],[-16/41,38/41,7/41,
-40/41,0,8/41],[9/41,-22/41,-10/41,15/41,2/41,-2/41],
[14/41,-6/41,-4/41,2/41,0,0],[-5/41,16/41,-18/41,
-12/41,6/41,2/41],[-14/41,27/41,5/41,-17/41,0,3/41],
[-13/41,45/41,17/41,-27/41,-4/41,4/41],[20/41,-26/41,
-12/41,8/41,2/41,0],[-2/41,34/41,11/41,-18/41,-3/41,
2/41],[-10/41,27/41,4/41,-27/41,0,5/41],[-11/41,33/41,
15/41,-22/41,-3/41,3/41],[4/41,13/41,-14/41,-18/41,
4/41,4/41],[-2/41,-17/41,-8/41,7/41,2/41,-1/41],[
-11/41,36/41,4/41,-24/41,0,4/41],[0,0,0,0,0,0],
[6/41,10/41,-2/41,-2/41,0,0],[8/41,-30/41,-11/41,
16/41,2/41,-2/41],[9/41,5/41,-11/41,1/41,2/41,-1/41],
[10/41,-27/41,-4/41,27/41,0,-5/41],[10/41,-17/41,
-16/41,19/41,4/41,-4/41],[-4/41,23/41,1/41,-11/41,0,
1/41],[-12/41,-15/41,20/41,17/41,-5/41,-4/41],[-7/41,
-16/41,6/41,6/41,-1/41,0],[7/41,-47/41,5/41,32/41,
-2/41,-5/41],[11/41,-20/41,8/41,20/41,-4/41,-4/41],
[9/41,-38/41,-7/41,22/41,2/41,-3/41],[-6/41,-4/41,0,
2/41,1/41,0],[-12/41,-12/41,28/41,10/41,-7/41,-2/41],
[-8/41,1,-8/41,-25/41,3/41,4/41],[23/41,-49/41,-15/41,
32/41,2/41,-5/41],[-9/41,31/41,-2/41,-30/41,2/41,6/41
],[4/41,11/41,-14/41,-9/41,3/41,2/41],[-2/41,-21/41,
14/41,13/41,-4/41,-2/41],[-10/41,34/41,4/41,-24/41,0,
4/41],[-4/41,-22/41,10/41,20/41,-2/41,-4/41],[0,0,
0,0,0,0],[15/41,-11/41,-13/41,0,2/41,1/41],[-9/41,
-1/41,4/41,-4/41,0,1/41],[13/41,-18/41,-12/41,12/41,
2/41,-2/41],[-14/41,50/41,11/41,-28/41,-2/41,4/41],
[10/41,-14/41,-8/41,12/41,2/41,-2/41],[-14/41,34/41,
14/41,-32/41,-2/41,6/41],[-4/41,18/41,-9/41,-14/41,3/41,
3/41],[-3/41,6/41,8/41,-16/41,-2/41,4/41],[-7/41,
11/41,8/41,-3/41,-2/41,0],[-2/41,11/41,5/41,-7/41,
-1/41,1/41],[-9/41,25/41,10/41,-17/41,-2/41,3/41],
[16/41,-3/41,-11/41,-3/41,2/41,1/41],[-8/41,30/41,
11/41,-16/41,-2/41,2/41],[-10/41,56/41,4/41,-52/41,0,
10/41],[-25/41,25/41,21/41,-12/41,-4/41,1/41],[8/41,
19/41,-14/41,-12/41,4/41,2/41],[-22/41,28/41,-6/41,
-30/41,4/41,6/41],[11/41,-8/41,-2/41,10/41,0,-2/41],
[-22/41,8/41,20/41,4/41,-4/41,-2/41],[-18/41,33/41,
18/41,-23/41,-4/41,4/41],[8/41,-7/41,-5/41,5/41,0,
-1/41],[9/41,5/41,-11/41,1/41,2/41,-1/41],[0,29/41,
0,-25/41,0,5/41],[14/41,5/41,-14/41,-3/41,3/41,0],
[5/41,1/41,-9/41,4/41,2/41,-1/41],[-5/41,-23/41,20/41,
13/41,-5/41,-2/41],[-2/41,7/41,-14/41,-7/41,4/41,2/41],
[9/41,-38/41,-7/41,22/41,2/41,-3/41],[8/41,-22/41,
10/41,28/41,-4/41,-6/41],[-7/41,16/41,-3/41,-14/41,
2/41,3/41],[6/41,-34/41,-6/41,18/41,1/41,-2/41],[
4/41,-1,3/41,25/41,-1/41,-4/41],[-4/41,-13/41,14/41,
18/41,-4/41,-4/41],[6/41,-20/41,0,12/41,0,-2/41],
[0,0,0,0,0,0],[24/41,-68/41,-18/41,56/41,2/41,
-10/41],[20/41,-61/41,-14/41,1,2/41,-7/41],[4/41,
-7/41,-10/41,5/41,2/41,-1/41],[10/41,-56/41,-4/41,52/41,
0,-10/41],[0,0,0,0,0,0],[2/41,29/41,-12/41,-29/41,
3/41,6/41],[-18/41,17/41,21/41,-16/41,-4/41,3/41],
[6/41,-4/41,-10/41,8/41,2/41,-2/41],[4/41,0,5/41,
0,-2/41,0],[16/41,-3/41,-11/41,-3/41,2/41,1/41],[
-24/41,68/41,18/41,-56/41,-2/41,10/41],[-14/41,27/41,
5/41,-17/41,0,3/41],[22/41,-50/41,-16/41,36/41,2/41,
-6/41],[15/41,0,-20/41,0,4/41,0],[8/41,-17/41,-1/41,
17/41,0,-3/41],[10/41,-27/41,-4/41,27/41,0,-5/41],
[9/41,8/41,-3/41,-6/41,0,1/41],[0,0,0,0,0,0],
[-7/41,39/41,3/41,-36/41,0,7/41],[-25/41,28/41,29/41,
-19/41,-6/41,3/41],[-6/41,25/41,-10/41,-14/41,4/41,2/41
],[-2/41,-17/41,-8/41,7/41,2/41,-1/41],[5/41,-18/41,
0,12/41,0,-2/41],[-22/41,8/41,20/41,4/41,-4/41,-2/41
],[-4/41,38/41,4/41,-26/41,-1/41,4/41],[8/41,-43/41,
8/41,34/41,-4/41,-6/41],[12/41,12/41,-28/41,-10/41,7/41,
2/41],[-8/41,45/41,14/41,-31/41,-3/41,5/41],[0,-3/41,
-8/41,7/41,2/41,-2/41],[-2/41,-4/41,2/41,8/41,0,-2/41
],[10/41,-52/41,0,38/41,-1/41,-7/41],[-4/41,-22/41,
-2/41,22/41,1/41,-4/41],[-9/41,-5/41,11/41,-1/41,-2/41,
1/41],[20/41,-16/41,-2/41,12/41,-2/41,-2/41],[7/41,
-34/41,-14/41,14/41,4/41,-1/41],[-5/41,0,3/41,4/41,
-1/41,-1/41],[13/41,-40/41,-1/41,29/41,-1/41,-5/41],
[4/41,6/41,0,6/41,0,-2/41],[14/41,-63/41,8/41,46/41,
-4/41,-8/41],[-14/41,47/41,-20/41,-42/41,8/41,8/41],
[-6/41,20/41,0,-12/41,0,2/41],[6/41,-20/41,0,12/41,
0,-2/41],[-2/41,27/41,-1/41,-19/41,0,3/41],[-2/41,
-18/41,8/41,12/41,-2/41,-2/41],[0,0,0,0,0,0]])
]> where w := K.1 where K := ext<K|Polynomial(K,[1,-8,8,6,-6,-1,
1])> where K is RationalField();

return _LR;
