/*
U4(2):2 as 81 x 81 matrices over Z.
Representation 81^+.
Schur index 1.

SEED (not used):
Nonzero v fixed by <y,xyxy^2xyxy^2xy^6x> (a Sylow 3-sgp).
v has 2 x 160 = 320 images under G; <v> has 160 images under G.
BASIS:
All in v^G (with v as above, despite the fact it isn't the seed).

Possible matrix entries are in {-1,0,1}.

Average number of nonzero entries for any element of the group:
328 + 1/20  (328.05; 5%).

Entry   Av/Mat                %Av/Mat
    0  6232.95  [6232+19/20]   95
   ±1   328.05   [328+1/20]     5
    1   164.025  [164+1/40]     2.5 [2+1/2]
   -1   164.025  [164+1/40]     2.5 [2+1/2]


LATTICE INFO:
Minimum: 81.
Kissing number: 320.


p-MODULAR REDUCTIONS:
p = 2: 6.40.6.(6.8\oplus 14).1.
p = 5: 58^+.23^- (uniserial).
other: absolutely irreducible.
*/


F:=Rationals();
Z:=Integers();


G<x,y>:=MatrixGroup<81,F|\[
1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
-1,0,0,-1,0,0,-1,0,0,-1,0,0,-1,0,0,-1,0,0,-1,0,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,-1,0,0,-1,0,0,-1,0,0,-1,0,0,-1,0,0,-1,0,0,-1,0,0,-1,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,-1,-1,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,-1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
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0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,
0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,1,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0,0]
>;
c:=x;d:=y;


// Forms: B1 (Symmetric).
// B1 (Symmetric form): Determinant 2^322*5^58; elem divs 1.4^22.40^6.160^52.
B1:=MatrixAlgebra(F,81)!\[
81,-3,-3,-3,1,1,-3,1,1,-27,1,1,-3,1,-3,-3,1,-3,-27,1,1,-3,-3,1,-3,-3,1,-27,-3,-3,1,-3,1,1,1,-3,9,1,1,1,-3,-3,1,1,9,9,1,1,1,9,1,1,-3,-3,-27,-3,-3,1,1,-3,1,-3,1,9,1,1,1,1,9,1,-3,-3,9,1,1,1,-3,-3,1,9,1,
-3,81,-3,1,-3,1,1,-3,1,1,-27,1,-3,-3,1,-3,-3,1,1,-27,1,1,-3,-3,1,-3,-3,-3,-27,-3,1,1,-3,-3,1,1,1,9,1,-3,1,-3,9,1,1,1,9,1,1,1,9,-3,1,-3,-3,-27,-3,-3,1,1,1,1,-3,1,9,1,9,1,1,-3,1,-3,1,9,1,-3,1,-3,1,1,9,
-3,-3,81,1,1,-3,1,1,-3,1,1,-27,1,-3,-3,1,-3,-3,1,1,-27,-3,1,-3,-3,1,-3,-3,-3,-27,-3,1,1,1,-3,1,1,1,9,-3,-3,1,1,9,1,1,1,9,9,1,1,-3,-3,1,-3,-3,-27,1,-3,1,-3,1,1,1,1,9,1,9,1,-3,-3,1,1,1,9,-3,-3,1,9,1,1,
-3,1,1,81,-3,-3,-3,1,1,-3,1,-3,-27,1,1,-3,1,-3,-3,-3,1,-27,1,1,-3,-3,1,1,-3,1,-3,-3,-27,-3,1,1,1,9,1,1,1,9,-3,-3,1,-3,-3,1,1,1,9,9,1,1,1,1,-3,-3,-27,-3,-3,1,1,-3,1,-3,1,9,1,9,1,1,1,1,9,1,9,1,-3,1,-3,
1,-3,1,-3,81,-3,1,-3,1,-3,-3,1,1,-27,1,-3,-3,1,1,-3,-3,1,-27,1,1,-3,-3,1,1,-3,-27,-3,-3,1,-3,1,1,1,9,9,1,1,1,-3,-3,1,-3,-3,9,1,1,1,9,1,-3,1,1,-3,-3,-27,1,-3,1,-3,-3,1,1,1,9,1,9,1,9,1,1,1,1,9,-3,-3,1,
1,1,-3,-3,-3,81,1,1,-3,1,-3,-3,1,1,-27,1,-3,-3,-3,1,-3,1,1,-27,-3,1,-3,-3,1,1,-3,-27,-3,1,1,-3,9,1,1,1,9,1,-3,1,-3,-3,1,-3,1,9,1,1,1,9,1,-3,1,-27,-3,-3,1,1,-3,1,-3,-3,9,1,1,1,1,9,1,9,1,9,1,1,1,-3,-3,
-3,1,1,-3,1,1,81,-3,-3,-3,1,-3,-3,1,-3,-27,1,1,-3,-3,1,-3,-3,1,-27,1,1,1,1,-3,-3,1,1,-3,-27,-3,-3,1,-3,9,1,1,1,9,1,1,1,9,-3,1,-3,1,9,1,1,-3,1,-3,1,1,-3,-3,-27,1,9,1,-3,-3,1,1,1,9,-3,-3,1,9,1,1,1,1,9,
1,-3,1,1,-3,1,-3,81,-3,-3,-3,1,-3,-3,1,1,-27,1,1,-3,-3,1,-3,-3,1,-27,1,-3,1,1,1,-3,1,-3,-3,-27,-3,-3,1,1,9,1,1,1,9,9,1,1,-3,-3,1,1,1,9,1,1,-3,1,-3,1,-27,-3,-3,1,1,9,1,-3,-3,9,1,1,1,-3,-3,1,9,1,9,1,1,
1,1,-3,1,1,-3,-3,-3,81,1,-3,-3,1,-3,-3,1,1,-27,-3,1,-3,-3,1,-3,1,1,-27,1,-3,1,1,1,-3,-27,-3,-3,1,-3,-3,1,1,9,9,1,1,1,9,1,1,-3,-3,9,1,1,-3,1,1,1,1,-3,-3,-27,-3,9,1,1,-3,1,-3,1,9,1,-3,1,-3,1,1,9,1,9,1,
-27,1,1,-3,-3,1,-3,-3,1,81,-3,-3,-3,1,1,-3,1,1,-27,1,1,-3,1,-3,-3,1,-3,9,1,1,-3,-3,1,1,1,9,-3,1,1,1,-3,1,-3,-3,-27,-3,-3,1,1,9,1,1,1,9,9,1,1,1,1,9,-3,-3,1,-3,1,1,-3,-3,-27,1,-3,1,-3,-3,1,1,1,9,1,9,1,
1,-27,1,1,-3,-3,1,-3,-3,-3,81,-3,1,-3,1,1,-3,1,1,-27,1,-3,-3,1,-3,-3,1,1,9,1,1,-3,-3,9,1,1,1,-3,1,1,1,-3,-27,-3,-3,1,-3,-3,1,1,9,9,1,1,1,9,1,9,1,1,1,-3,-3,1,-3,1,-27,-3,-3,1,1,-3,1,-3,-3,9,1,1,1,1,9,
1,1,-27,-3,1,-3,-3,1,-3,-3,-3,81,1,1,-3,1,1,-3,1,1,-27,1,-3,-3,1,-3,-3,1,1,9,-3,1,-3,1,9,1,1,1,-3,-3,1,1,-3,-27,-3,-3,1,-3,9,1,1,1,9,1,1,1,9,1,9,1,-3,1,-3,1,1,-3,-3,-27,-3,-3,1,1,-3,1,-3,1,9,1,9,1,1,
-3,-3,1,-27,1,1,-3,-3,1,-3,1,1,81,-3,-3,-3,1,1,-3,1,-3,-27,1,1,-3,1,-3,1,9,1,1,1,9,-3,1,-3,-3,-27,-3,1,1,-3,-3,1,1,1,9,1,-3,1,-3,9,1,1,1,-3,-3,1,9,1,9,1,1,1,1,-3,1,-3,1,-27,-3,-3,1,1,9,1,-3,-3,9,1,1,
1,-3,-3,1,-27,1,1,-3,-3,1,-3,1,-3,81,-3,1,-3,1,-3,-3,1,1,-27,1,-3,-3,1,1,1,9,9,1,1,-3,-3,1,-3,-3,-27,-3,1,1,1,-3,1,1,1,9,-3,-3,1,1,9,1,-3,1,-3,1,1,9,1,9,1,-3,1,1,1,1,-3,-3,-27,-3,9,1,1,-3,1,-3,1,9,1,
-3,1,-3,1,1,-27,-3,1,-3,1,1,-3,-3,-3,81,1,1,-3,1,-3,-3,1,1,-27,1,-3,-3,9,1,1,1,9,1,1,-3,-3,-27,-3,-3,1,-3,1,1,1,-3,9,1,1,1,-3,-3,1,1,9,-3,-3,1,9,1,1,1,1,9,1,-3,1,-3,1,1,-3,-3,-27,1,9,1,-3,-3,1,1,1,9,
-3,-3,1,-3,-3,1,-27,1,1,-3,1,1,-3,1,1,81,-3,-3,-3,1,-3,-3,1,-3,-27,1,1,1,-3,-3,9,1,1,1,9,1,1,1,-3,-27,-3,-3,1,-3,1,1,1,9,9,1,1,1,-3,-3,1,9,1,-3,1,-3,1,1,9,-3,-27,-3,-3,1,1,1,1,-3,1,9,1,9,1,1,-3,1,-3,
1,-3,-3,1,-3,-3,1,-27,1,1,-3,1,1,-3,1,-3,81,-3,-3,-3,1,-3,-3,1,1,-27,1,-3,1,-3,1,9,1,1,1,9,-3,1,1,-3,-27,-3,1,1,-3,9,1,1,1,9,1,-3,1,-3,1,1,9,-3,-3,1,9,1,1,-3,-3,-27,1,-3,1,-3,1,1,1,1,9,1,9,1,-3,-3,1,
-3,1,-3,-3,1,-3,1,1,-27,1,1,-3,1,1,-3,-3,-3,81,1,-3,-3,1,-3,-3,1,1,-27,-3,-3,1,1,1,9,9,1,1,1,-3,1,-3,-3,-27,-3,1,1,1,9,1,1,1,9,-3,-3,1,9,1,1,1,-3,-3,1,9,1,-27,-3,-3,1,1,-3,1,-3,1,9,1,1,1,1,9,1,-3,-3,
-27,1,1,-3,1,-3,-3,1,-3,-27,1,1,-3,-3,1,-3,-3,1,81,-3,-3,-3,1,1,-3,1,1,9,1,1,1,9,1,-3,1,-3,-3,1,-3,1,9,1,1,1,9,-3,1,1,-3,-27,-3,1,1,-3,9,1,1,-3,1,-3,1,9,1,-3,1,-3,1,1,9,1,9,1,-3,1,1,1,1,-3,-3,-27,-3,
1,-27,1,-3,-3,1,-3,-3,1,1,-27,1,1,-3,-3,1,-3,-3,-3,81,-3,1,-3,1,1,-3,1,1,9,1,1,1,9,-3,-3,1,-3,-3,1,1,1,9,9,1,1,1,-3,1,-3,-3,-27,-3,1,1,1,9,1,-3,-3,1,1,1,9,-3,-3,1,9,1,1,1,1,9,1,-3,1,-3,1,1,-3,-3,-27,
1,1,-27,1,-3,-3,1,-3,-3,1,1,-27,-3,1,-3,-3,1,-3,-3,-3,81,1,1,-3,1,1,-3,1,1,9,9,1,1,1,-3,-3,1,-3,-3,9,1,1,1,9,1,1,1,-3,-27,-3,-3,1,-3,1,1,1,9,1,-3,-3,9,1,1,1,-3,-3,1,9,1,9,1,1,1,1,-3,1,-3,1,-27,-3,-3,
-3,1,-3,-27,1,1,-3,1,-3,-3,-3,1,-27,1,1,-3,-3,1,-3,1,1,81,-3,-3,-3,1,1,1,-3,-3,1,1,9,9,1,1,1,9,1,1,-3,-3,9,1,1,1,-3,1,1,1,-3,-27,-3,-3,1,1,9,1,9,1,-3,-3,1,1,1,9,-3,-3,1,9,1,1,-3,-3,-27,1,-3,1,-3,1,1,
-3,-3,1,1,-27,1,-3,-3,1,1,-3,-3,1,-27,1,1,-3,-3,1,-3,1,-3,81,-3,1,-3,1,-3,1,-3,9,1,1,1,9,1,1,1,9,-3,1,-3,1,9,1,1,1,-3,-3,1,1,-3,-27,-3,9,1,1,1,1,9,1,-3,-3,9,1,1,1,-3,-3,1,9,1,-27,-3,-3,1,1,-3,1,-3,1,
1,-3,-3,1,1,-27,1,-3,-3,-3,1,-3,1,1,-27,-3,1,-3,1,1,-3,-3,-3,81,1,1,-3,-3,-3,1,1,9,1,1,1,9,9,1,1,-3,-3,1,1,1,9,-3,1,1,1,-3,1,-3,-3,-27,1,9,1,9,1,1,-3,1,-3,1,9,1,-3,1,-3,1,1,9,-3,-27,-3,-3,1,1,1,1,-3,
-3,1,-3,-3,1,-3,-27,1,1,-3,-3,1,-3,-3,1,-27,1,1,-3,1,1,-3,1,1,81,-3,-3,1,1,9,-3,-3,1,1,9,1,1,1,9,9,1,1,-3,-3,1,-3,-3,-27,-3,1,1,1,-3,1,1,-3,-3,9,1,1,1,1,9,1,9,1,9,1,1,1,-3,-3,1,-3,1,-27,-3,-3,1,1,-3,
-3,-3,1,-3,-3,1,1,-27,1,1,-3,-3,1,-3,-3,1,-27,1,1,-3,1,1,-3,1,-3,81,-3,9,1,1,1,-3,-3,1,1,9,9,1,1,1,9,1,1,-3,-3,-27,-3,-3,1,-3,1,1,1,-3,-3,1,-3,1,9,1,9,1,1,1,1,9,1,9,1,-3,1,-3,1,1,-3,-3,-27,-3,-3,1,1,
1,-3,-3,1,-3,-3,1,1,-27,-3,1,-3,-3,1,-3,1,1,-27,1,1,-3,1,1,-3,-3,-3,81,1,9,1,-3,1,-3,9,1,1,1,9,1,1,1,9,-3,1,-3,-3,-27,-3,1,1,-3,-3,1,1,-3,-3,1,1,1,9,1,9,1,9,1,1,1,1,9,-3,-3,1,-3,1,1,-3,-3,-27,1,-3,1,
-27,-3,-3,1,1,-3,1,-3,1,9,1,1,1,1,9,1,-3,-3,9,1,1,1,-3,-3,1,9,1,81,-3,-3,-3,1,1,-3,1,1,-27,1,1,-3,1,-3,-3,1,-3,-27,1,1,-3,-3,1,-3,-3,1,-27,-3,-3,1,-3,1,1,1,-3,9,1,1,1,-3,-3,1,1,9,9,1,1,1,9,1,1,-3,-3,
-3,-27,-3,-3,1,1,1,1,-3,1,9,1,9,1,1,-3,1,-3,1,9,1,-3,1,-3,1,1,9,-3,81,-3,1,-3,1,1,-3,1,1,-27,1,-3,-3,1,-3,-3,1,1,-27,1,1,-3,-3,1,-3,-3,-3,-27,-3,1,1,-3,-3,1,1,1,9,1,-3,1,-3,9,1,1,1,9,1,1,1,9,-3,1,-3,
-3,-3,-27,1,-3,1,-3,1,1,1,1,9,1,9,1,-3,-3,1,1,1,9,-3,-3,1,9,1,1,-3,-3,81,1,1,-3,1,1,-3,1,1,-27,1,-3,-3,1,-3,-3,1,1,-27,-3,1,-3,-3,1,-3,-3,-3,-27,-3,1,1,1,-3,1,1,1,9,-3,-3,1,1,9,1,1,1,9,9,1,1,-3,-3,1,
1,1,-3,-3,-27,-3,-3,1,1,-3,1,-3,1,9,1,9,1,1,1,1,9,1,9,1,-3,1,-3,-3,1,1,81,-3,-3,-3,1,1,-3,1,-3,-27,1,1,-3,1,-3,-3,-3,1,-27,1,1,-3,-3,1,1,-3,1,-3,-3,-27,-3,1,1,1,9,1,1,1,9,-3,-3,1,-3,-3,1,1,1,9,9,1,1,
-3,1,1,-3,-3,-27,1,-3,1,-3,-3,1,1,1,9,1,9,1,9,1,1,1,1,9,-3,-3,1,1,-3,1,-3,81,-3,1,-3,1,-3,-3,1,1,-27,1,-3,-3,1,1,-3,-3,1,-27,1,1,-3,-3,1,1,-3,-27,-3,-3,1,-3,1,1,1,9,9,1,1,1,-3,-3,1,-3,-3,9,1,1,1,9,1,
1,-3,1,-27,-3,-3,1,1,-3,1,-3,-3,9,1,1,1,1,9,1,9,1,9,1,1,1,-3,-3,1,1,-3,-3,-3,81,1,1,-3,1,-3,-3,1,1,-27,1,-3,-3,-3,1,-3,1,1,-27,-3,1,-3,-3,1,1,-3,-27,-3,1,1,-3,9,1,1,1,9,1,-3,1,-3,-3,1,-3,1,9,1,1,1,9,
1,-3,1,-3,1,1,-3,-3,-27,1,9,1,-3,-3,1,1,1,9,-3,-3,1,9,1,1,1,1,9,-3,1,1,-3,1,1,81,-3,-3,-3,1,-3,-3,1,-3,-27,1,1,-3,-3,1,-3,-3,1,-27,1,1,1,1,-3,-3,1,1,-3,-27,-3,-3,1,-3,9,1,1,1,9,1,1,1,9,-3,1,-3,1,9,1,
1,1,-3,1,-3,1,-27,-3,-3,1,1,9,1,-3,-3,9,1,1,1,-3,-3,1,9,1,9,1,1,1,-3,1,1,-3,1,-3,81,-3,-3,-3,1,-3,-3,1,1,-27,1,1,-3,-3,1,-3,-3,1,-27,1,-3,1,1,1,-3,1,-3,-3,-27,-3,-3,1,1,9,1,1,1,9,9,1,1,-3,-3,1,1,1,9,
-3,1,1,1,1,-3,-3,-27,-3,9,1,1,-3,1,-3,1,9,1,-3,1,-3,1,1,9,1,9,1,1,1,-3,1,1,-3,-3,-3,81,1,-3,-3,1,-3,-3,1,1,-27,-3,1,-3,-3,1,-3,1,1,-27,1,-3,1,1,1,-3,-27,-3,-3,1,-3,-3,1,1,9,9,1,1,1,9,1,1,-3,-3,9,1,1,
9,1,1,1,1,9,-3,-3,1,-3,1,1,-3,-3,-27,1,-3,1,-3,-3,1,1,1,9,1,9,1,-27,1,1,-3,-3,1,-3,-3,1,81,-3,-3,-3,1,1,-3,1,1,-27,1,1,-3,1,-3,-3,1,-3,9,1,1,-3,-3,1,1,1,9,-3,1,1,1,-3,1,-3,-3,-27,-3,-3,1,1,9,1,1,1,9,
1,9,1,9,1,1,1,-3,-3,1,-3,1,-27,-3,-3,1,1,-3,1,-3,-3,9,1,1,1,1,9,1,-27,1,1,-3,-3,1,-3,-3,-3,81,-3,1,-3,1,1,-3,1,1,-27,1,-3,-3,1,-3,-3,1,1,9,1,1,-3,-3,9,1,1,1,-3,1,1,1,-3,-27,-3,-3,1,-3,-3,1,1,9,9,1,1,
1,1,9,1,9,1,-3,1,-3,1,1,-3,-3,-27,-3,-3,1,1,-3,1,-3,1,9,1,9,1,1,1,1,-27,-3,1,-3,-3,1,-3,-3,-3,81,1,1,-3,1,1,-3,1,1,-27,1,-3,-3,1,-3,-3,1,1,9,-3,1,-3,1,9,1,1,1,-3,-3,1,1,-3,-27,-3,-3,1,-3,9,1,1,1,9,1,
1,-3,-3,1,9,1,9,1,1,1,1,-3,1,-3,1,-27,-3,-3,1,1,9,1,-3,-3,9,1,1,-3,-3,1,-27,1,1,-3,-3,1,-3,1,1,81,-3,-3,-3,1,1,-3,1,-3,-27,1,1,-3,1,-3,1,9,1,1,1,9,-3,1,-3,-3,-27,-3,1,1,-3,-3,1,1,1,9,1,-3,1,-3,9,1,1,
-3,1,-3,1,1,9,1,9,1,-3,1,1,1,1,-3,-3,-27,-3,9,1,1,-3,1,-3,1,9,1,1,-3,-3,1,-27,1,1,-3,-3,1,-3,1,-3,81,-3,1,-3,1,-3,-3,1,1,-27,1,-3,-3,1,1,1,9,9,1,1,-3,-3,1,-3,-3,-27,-3,1,1,1,-3,1,1,1,9,-3,-3,1,1,9,1,
-3,-3,1,9,1,1,1,1,9,1,-3,1,-3,1,1,-3,-3,-27,1,9,1,-3,-3,1,1,1,9,-3,1,-3,1,1,-27,-3,1,-3,1,1,-3,-3,-3,81,1,1,-3,1,-3,-3,1,1,-27,1,-3,-3,9,1,1,1,9,1,1,-3,-3,-27,-3,-3,1,-3,1,1,1,-3,9,1,1,1,-3,-3,1,1,9,
1,9,1,-3,1,-3,1,1,9,-3,-27,-3,-3,1,1,1,1,-3,1,9,1,9,1,1,-3,1,-3,-3,-3,1,-3,-3,1,-27,1,1,-3,1,1,-3,1,1,81,-3,-3,-3,1,-3,-3,1,-3,-27,1,1,1,-3,-3,9,1,1,1,9,1,1,1,-3,-27,-3,-3,1,-3,1,1,1,9,9,1,1,1,-3,-3,
1,1,9,-3,-3,1,9,1,1,-3,-3,-27,1,-3,1,-3,1,1,1,1,9,1,9,1,-3,-3,1,1,-3,-3,1,-3,-3,1,-27,1,1,-3,1,1,-3,1,-3,81,-3,-3,-3,1,-3,-3,1,1,-27,1,-3,1,-3,1,9,1,1,1,9,-3,1,1,-3,-27,-3,1,1,-3,9,1,1,1,9,1,-3,1,-3,
9,1,1,1,-3,-3,1,9,1,-27,-3,-3,1,1,-3,1,-3,1,9,1,1,1,1,9,1,-3,-3,-3,1,-3,-3,1,-3,1,1,-27,1,1,-3,1,1,-3,-3,-3,81,1,-3,-3,1,-3,-3,1,1,-27,-3,-3,1,1,1,9,9,1,1,1,-3,1,-3,-3,-27,-3,1,1,1,9,1,1,1,9,-3,-3,1,
9,1,1,-3,1,-3,1,9,1,-3,1,-3,1,1,9,1,9,1,-3,1,1,1,1,-3,-3,-27,-3,-27,1,1,-3,1,-3,-3,1,-3,-27,1,1,-3,-3,1,-3,-3,1,81,-3,-3,-3,1,1,-3,1,1,9,1,1,1,9,1,-3,1,-3,-3,1,-3,1,9,1,1,1,9,-3,1,1,-3,-27,-3,1,1,-3,
1,9,1,-3,-3,1,1,1,9,-3,-3,1,9,1,1,1,1,9,1,-3,1,-3,1,1,-3,-3,-27,1,-27,1,-3,-3,1,-3,-3,1,1,-27,1,1,-3,-3,1,-3,-3,-3,81,-3,1,-3,1,1,-3,1,1,9,1,1,1,9,-3,-3,1,-3,-3,1,1,1,9,9,1,1,1,-3,1,-3,-3,-27,-3,1,1,
1,1,9,1,-3,-3,9,1,1,1,-3,-3,1,9,1,9,1,1,1,1,-3,1,-3,1,-27,-3,-3,1,1,-27,1,-3,-3,1,-3,-3,1,1,-27,-3,1,-3,-3,1,-3,-3,-3,81,1,1,-3,1,1,-3,1,1,9,9,1,1,1,-3,-3,1,-3,-3,9,1,1,1,9,1,1,1,-3,-27,-3,-3,1,-3,1,
1,1,9,1,9,1,-3,-3,1,1,1,9,-3,-3,1,9,1,1,-3,-3,-27,1,-3,1,-3,1,1,-3,1,-3,-27,1,1,-3,1,-3,-3,-3,1,-27,1,1,-3,-3,1,-3,1,1,81,-3,-3,-3,1,1,1,-3,-3,1,1,9,9,1,1,1,9,1,1,-3,-3,9,1,1,1,-3,1,1,1,-3,-27,-3,-3,
9,1,1,1,1,9,1,-3,-3,9,1,1,1,-3,-3,1,9,1,-27,-3,-3,1,1,-3,1,-3,1,-3,-3,1,1,-27,1,-3,-3,1,1,-3,-3,1,-27,1,1,-3,-3,1,-3,1,-3,81,-3,1,-3,1,-3,1,-3,9,1,1,1,9,1,1,1,9,-3,1,-3,1,9,1,1,1,-3,-3,1,1,-3,-27,-3,
1,9,1,9,1,1,-3,1,-3,1,9,1,-3,1,-3,1,1,9,-3,-27,-3,-3,1,1,1,1,-3,1,-3,-3,1,1,-27,1,-3,-3,-3,1,-3,1,1,-27,-3,1,-3,1,1,-3,-3,-3,81,1,1,-3,-3,-3,1,1,9,1,1,1,9,9,1,1,-3,-3,1,1,1,9,-3,1,1,1,-3,1,-3,-3,-27,
1,-3,-3,9,1,1,1,1,9,1,9,1,9,1,1,1,-3,-3,1,-3,1,-27,-3,-3,1,1,-3,-3,1,-3,-3,1,-3,-27,1,1,-3,-3,1,-3,-3,1,-27,1,1,-3,1,1,-3,1,1,81,-3,-3,1,1,9,-3,-3,1,1,9,1,1,1,9,9,1,1,-3,-3,1,-3,-3,-27,-3,1,1,1,-3,1,
-3,1,-3,1,9,1,9,1,1,1,1,9,1,9,1,-3,1,-3,1,1,-3,-3,-27,-3,-3,1,1,-3,-3,1,-3,-3,1,1,-27,1,1,-3,-3,1,-3,-3,1,-27,1,1,-3,1,1,-3,1,-3,81,-3,9,1,1,1,-3,-3,1,1,9,9,1,1,1,9,1,1,-3,-3,-27,-3,-3,1,-3,1,1,1,-3,
-3,-3,1,1,1,9,1,9,1,9,1,1,1,1,9,-3,-3,1,-3,1,1,-3,-3,-27,1,-3,1,1,-3,-3,1,-3,-3,1,1,-27,-3,1,-3,-3,1,-3,1,1,-27,1,1,-3,1,1,-3,-3,-3,81,1,9,1,-3,1,-3,9,1,1,1,9,1,1,1,9,-3,1,-3,-3,-27,-3,1,1,-3,-3,1,1,
-27,-3,-3,1,-3,1,1,1,-3,9,1,1,1,-3,-3,1,1,9,9,1,1,1,9,1,1,-3,-3,-27,-3,-3,1,1,-3,1,-3,1,9,1,1,1,1,9,1,-3,-3,9,1,1,1,-3,-3,1,9,1,81,-3,-3,-3,1,1,-3,1,1,-27,1,1,-3,1,-3,-3,1,-3,-27,1,1,-3,-3,1,-3,-3,1,
-3,-27,-3,1,1,-3,-3,1,1,1,9,1,-3,1,-3,9,1,1,1,9,1,1,1,9,-3,1,-3,-3,-27,-3,-3,1,1,1,1,-3,1,9,1,9,1,1,-3,1,-3,1,9,1,-3,1,-3,1,1,9,-3,81,-3,1,-3,1,1,-3,1,1,-27,1,-3,-3,1,-3,-3,1,1,-27,1,1,-3,-3,1,-3,-3,
-3,-3,-27,-3,1,1,1,-3,1,1,1,9,-3,-3,1,1,9,1,1,1,9,9,1,1,-3,-3,1,-3,-3,-27,1,-3,1,-3,1,1,1,1,9,1,9,1,-3,-3,1,1,1,9,-3,-3,1,9,1,1,-3,-3,81,1,1,-3,1,1,-3,1,1,-27,1,-3,-3,1,-3,-3,1,1,-27,-3,1,-3,-3,1,-3,
1,-3,1,-3,-3,-27,-3,1,1,1,9,1,1,1,9,-3,-3,1,-3,-3,1,1,1,9,9,1,1,1,1,-3,-3,-27,-3,-3,1,1,-3,1,-3,1,9,1,9,1,1,1,1,9,1,9,1,-3,1,-3,-3,1,1,81,-3,-3,-3,1,1,-3,1,-3,-27,1,1,-3,1,-3,-3,-3,1,-27,1,1,-3,-3,1,
1,1,-3,-27,-3,-3,1,-3,1,1,1,9,9,1,1,1,-3,-3,1,-3,-3,9,1,1,1,9,1,-3,1,1,-3,-3,-27,1,-3,1,-3,-3,1,1,1,9,1,9,1,9,1,1,1,1,9,-3,-3,1,1,-3,1,-3,81,-3,1,-3,1,-3,-3,1,1,-27,1,-3,-3,1,1,-3,-3,1,-27,1,1,-3,-3,
-3,1,1,-3,-27,-3,1,1,-3,9,1,1,1,9,1,-3,1,-3,-3,1,-3,1,9,1,1,1,9,1,-3,1,-27,-3,-3,1,1,-3,1,-3,-3,9,1,1,1,1,9,1,9,1,9,1,1,1,-3,-3,1,1,-3,-3,-3,81,1,1,-3,1,-3,-3,1,1,-27,1,-3,-3,-3,1,-3,1,1,-27,-3,1,-3,
1,1,-3,-3,1,1,-3,-27,-3,-3,1,-3,9,1,1,1,9,1,1,1,9,-3,1,-3,1,9,1,1,-3,1,-3,1,1,-3,-3,-27,1,9,1,-3,-3,1,1,1,9,-3,-3,1,9,1,1,1,1,9,-3,1,1,-3,1,1,81,-3,-3,-3,1,-3,-3,1,-3,-27,1,1,-3,-3,1,-3,-3,1,-27,1,1,
-3,1,1,1,-3,1,-3,-3,-27,-3,-3,1,1,9,1,1,1,9,9,1,1,-3,-3,1,1,1,9,1,1,-3,1,-3,1,-27,-3,-3,1,1,9,1,-3,-3,9,1,1,1,-3,-3,1,9,1,9,1,1,1,-3,1,1,-3,1,-3,81,-3,-3,-3,1,-3,-3,1,1,-27,1,1,-3,-3,1,-3,-3,1,-27,1,
1,-3,1,1,1,-3,-27,-3,-3,1,-3,-3,1,1,9,9,1,1,1,9,1,1,-3,-3,9,1,1,-3,1,1,1,1,-3,-3,-27,-3,9,1,1,-3,1,-3,1,9,1,-3,1,-3,1,1,9,1,9,1,1,1,-3,1,1,-3,-3,-3,81,1,-3,-3,1,-3,-3,1,1,-27,-3,1,-3,-3,1,-3,1,1,-27,
9,1,1,-3,-3,1,1,1,9,-3,1,1,1,-3,1,-3,-3,-27,-3,-3,1,1,9,1,1,1,9,9,1,1,1,1,9,-3,-3,1,-3,1,1,-3,-3,-27,1,-3,1,-3,-3,1,1,1,9,1,9,1,-27,1,1,-3,-3,1,-3,-3,1,81,-3,-3,-3,1,1,-3,1,1,-27,1,1,-3,1,-3,-3,1,-3,
1,9,1,1,-3,-3,9,1,1,1,-3,1,1,1,-3,-27,-3,-3,1,-3,-3,1,1,9,9,1,1,1,9,1,9,1,1,1,-3,-3,1,-3,1,-27,-3,-3,1,1,-3,1,-3,-3,9,1,1,1,1,9,1,-27,1,1,-3,-3,1,-3,-3,-3,81,-3,1,-3,1,1,-3,1,1,-27,1,-3,-3,1,-3,-3,1,
1,1,9,-3,1,-3,1,9,1,1,1,-3,-3,1,1,-3,-27,-3,-3,1,-3,9,1,1,1,9,1,1,1,9,1,9,1,-3,1,-3,1,1,-3,-3,-27,-3,-3,1,1,-3,1,-3,1,9,1,9,1,1,1,1,-27,-3,1,-3,-3,1,-3,-3,-3,81,1,1,-3,1,1,-3,1,1,-27,1,-3,-3,1,-3,-3,
1,9,1,1,1,9,-3,1,-3,-3,-27,-3,1,1,-3,-3,1,1,1,9,1,-3,1,-3,9,1,1,1,-3,-3,1,9,1,9,1,1,1,1,-3,1,-3,1,-27,-3,-3,1,1,9,1,-3,-3,9,1,1,-3,-3,1,-27,1,1,-3,-3,1,-3,1,1,81,-3,-3,-3,1,1,-3,1,-3,-27,1,1,-3,1,-3,
1,1,9,9,1,1,-3,-3,1,-3,-3,-27,-3,1,1,1,-3,1,1,1,9,-3,-3,1,1,9,1,-3,1,-3,1,1,9,1,9,1,-3,1,1,1,1,-3,-3,-27,-3,9,1,1,-3,1,-3,1,9,1,1,-3,-3,1,-27,1,1,-3,-3,1,-3,1,-3,81,-3,1,-3,1,-3,-3,1,1,-27,1,-3,-3,1,
9,1,1,1,9,1,1,-3,-3,-27,-3,-3,1,-3,1,1,1,-3,9,1,1,1,-3,-3,1,1,9,-3,-3,1,9,1,1,1,1,9,1,-3,1,-3,1,1,-3,-3,-27,1,9,1,-3,-3,1,1,1,9,-3,1,-3,1,1,-27,-3,1,-3,1,1,-3,-3,-3,81,1,1,-3,1,-3,-3,1,1,-27,1,-3,-3,
1,-3,-3,9,1,1,1,9,1,1,1,-3,-27,-3,-3,1,-3,1,1,1,9,9,1,1,1,-3,-3,1,9,1,-3,1,-3,1,1,9,-3,-27,-3,-3,1,1,1,1,-3,1,9,1,9,1,1,-3,1,-3,-3,-3,1,-3,-3,1,-27,1,1,-3,1,1,-3,1,1,81,-3,-3,-3,1,-3,-3,1,-3,-27,1,1,
-3,1,-3,1,9,1,1,1,9,-3,1,1,-3,-27,-3,1,1,-3,9,1,1,1,9,1,-3,1,-3,1,1,9,-3,-3,1,9,1,1,-3,-3,-27,1,-3,1,-3,1,1,1,1,9,1,9,1,-3,-3,1,1,-3,-3,1,-3,-3,1,-27,1,1,-3,1,1,-3,1,-3,81,-3,-3,-3,1,-3,-3,1,1,-27,1,
-3,-3,1,1,1,9,9,1,1,1,-3,1,-3,-3,-27,-3,1,1,1,9,1,1,1,9,-3,-3,1,9,1,1,1,-3,-3,1,9,1,-27,-3,-3,1,1,-3,1,-3,1,9,1,1,1,1,9,1,-3,-3,-3,1,-3,-3,1,-3,1,1,-27,1,1,-3,1,1,-3,-3,-3,81,1,-3,-3,1,-3,-3,1,1,-27,
9,1,1,1,9,1,-3,1,-3,-3,1,-3,1,9,1,1,1,9,-3,1,1,-3,-27,-3,1,1,-3,9,1,1,-3,1,-3,1,9,1,-3,1,-3,1,1,9,1,9,1,-3,1,1,1,1,-3,-3,-27,-3,-27,1,1,-3,1,-3,-3,1,-3,-27,1,1,-3,-3,1,-3,-3,1,81,-3,-3,-3,1,1,-3,1,1,
1,9,1,1,1,9,-3,-3,1,-3,-3,1,1,1,9,9,1,1,1,-3,1,-3,-3,-27,-3,1,1,1,9,1,-3,-3,1,1,1,9,-3,-3,1,9,1,1,1,1,9,1,-3,1,-3,1,1,-3,-3,-27,1,-27,1,-3,-3,1,-3,-3,1,1,-27,1,1,-3,-3,1,-3,-3,-3,81,-3,1,-3,1,1,-3,1,
1,1,9,9,1,1,1,-3,-3,1,-3,-3,9,1,1,1,9,1,1,1,-3,-27,-3,-3,1,-3,1,1,1,9,1,-3,-3,9,1,1,1,-3,-3,1,9,1,9,1,1,1,1,-3,1,-3,1,-27,-3,-3,1,1,-27,1,-3,-3,1,-3,-3,1,1,-27,-3,1,-3,-3,1,-3,-3,-3,81,1,1,-3,1,1,-3,
1,-3,-3,1,1,9,9,1,1,1,9,1,1,-3,-3,9,1,1,1,-3,1,1,1,-3,-27,-3,-3,1,1,9,1,9,1,-3,-3,1,1,1,9,-3,-3,1,9,1,1,-3,-3,-27,1,-3,1,-3,1,1,-3,1,-3,-27,1,1,-3,1,-3,-3,-3,1,-27,1,1,-3,-3,1,-3,1,1,81,-3,-3,-3,1,1,
-3,1,-3,9,1,1,1,9,1,1,1,9,-3,1,-3,1,9,1,1,1,-3,-3,1,1,-3,-27,-3,9,1,1,1,1,9,1,-3,-3,9,1,1,1,-3,-3,1,9,1,-27,-3,-3,1,1,-3,1,-3,1,-3,-3,1,1,-27,1,-3,-3,1,1,-3,-3,1,-27,1,1,-3,-3,1,-3,1,-3,81,-3,1,-3,1,
-3,-3,1,1,9,1,1,1,9,9,1,1,-3,-3,1,1,1,9,-3,1,1,1,-3,1,-3,-3,-27,1,9,1,9,1,1,-3,1,-3,1,9,1,-3,1,-3,1,1,9,-3,-27,-3,-3,1,1,1,1,-3,1,-3,-3,1,1,-27,1,-3,-3,-3,1,-3,1,1,-27,-3,1,-3,1,1,-3,-3,-3,81,1,1,-3,
1,1,9,-3,-3,1,1,9,1,1,1,9,9,1,1,-3,-3,1,-3,-3,-27,-3,1,1,1,-3,1,1,-3,-3,9,1,1,1,1,9,1,9,1,9,1,1,1,-3,-3,1,-3,1,-27,-3,-3,1,1,-3,-3,1,-3,-3,1,-3,-27,1,1,-3,-3,1,-3,-3,1,-27,1,1,-3,1,1,-3,1,1,81,-3,-3,
9,1,1,1,-3,-3,1,1,9,9,1,1,1,9,1,1,-3,-3,-27,-3,-3,1,-3,1,1,1,-3,-3,1,-3,1,9,1,9,1,1,1,1,9,1,9,1,-3,1,-3,1,1,-3,-3,-27,-3,-3,1,1,-3,-3,1,-3,-3,1,1,-27,1,1,-3,-3,1,-3,-3,1,-27,1,1,-3,1,1,-3,1,-3,81,-3,
1,9,1,-3,1,-3,9,1,1,1,9,1,1,1,9,-3,1,-3,-3,-27,-3,1,1,-3,-3,1,1,-3,-3,1,1,1,9,1,9,1,9,1,1,1,1,9,-3,-3,1,-3,1,1,-3,-3,-27,1,-3,1,1,-3,-3,1,-3,-3,1,1,-27,-3,1,-3,-3,1,-3,1,1,-27,1,1,-3,1,1,-3,-3,-3,81];


// Centralising algebra: Scalars only.
C1:=MatrixAlgebra(F,81)!1;


LA1:=LatticeWithGram(MatrixAlgebra(Z,81)!B1);
LAD1:=LatticeWithGram(MatrixAlgebra(Z,81)!(160*B1^-1));