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ISIT2019_result3
805 lines (772 loc) · 64.3 KB
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ISIT2019_result3
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linrows:=[ 86, 87, 88, 89, 90,91,92,93,94,95 ];
H-representation
linearity 5 86 87 88 89 90 91 92 93 94 95
begin
105 37 rational
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end
###output of redund
H-representation
linearity 10 1 2 3 4 5 6 7 8 9 10
begin
45 37 rational
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0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 1 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 -1 0 0 0 1 0 0 0 1 0 0 0 -1
0 0 0 0 0 0 0 -1 0 0 0 1 0 0 0 1 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 1 0 0 0 1 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 -1 0 0 0 1 0 0 0 1 0 0 0 -1 0 0 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 1 0 0 0 -1 0 0
0 0 0 0 0 0 0 0 0 0 0 -1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 1 0 0 0 0 0 0 0 -1 0
0 -1 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 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 -1 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 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 -1 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 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 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 1 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
end
M:=[[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],
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RREF_M:=
[
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## x6 = -x11 + x36
## x7 = -x10 + x36
## x8 = -x10 - x11 + 2x36
## x9 = x10 + x11 - x36
## x12 = x36
## x13 = x15
## x20 = x36
## x21 = x25
## x28 = x36
## x29 = x30
-A:=
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-AT:=
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-ATfinal:=
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Afinal:=
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G:=
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RREF_G:=
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B:=
[ [ 1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0 ],
[ 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1 ],
[ 1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, 1, 1 ],
[ 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 1, 1 ],
[ 0, -1, 1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 1, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 1, 1 ],
[ 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1 ],
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[ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ] ];
Pu:=
[ [ 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
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[ 0, 0, 0, 0, 0, 1, 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, 1, 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, 1, 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, 1, 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, 1 ],
[ 1, 1, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0 ],
[ 0, 0, 1, 1, 1, 0, 0, 0, 0, 0, -1, 0, 0, 1 ],
[ 1, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, -1, 0, -1, 0, -1, 0, 0, 0, 1, 1 ],
[ 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 1, -1, 0, 0, 0, 0, -1, 0, 1, 1 ],
[ 0, -1, 1, 0, 1, -1, 1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, -1, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 1, 0, 0, -1, 1, -1, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, -1, 0, -1, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, -1, 0, 1, 1 ],
[ 0, 0, 1, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, -1, -1 ],
[ 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, -1, -1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 1 ]];
# input to lrs
H-representation
begin
35 15 rational
0 1 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 1 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 1 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 1 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 1 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 1 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 1 0
0 0 0 0 0 0 0 0 0 0 0 0 0 0 1
0 1 1 0 0 0 0 0 0 -1 0 0 0 1 0
0 0 0 1 1 1 0 0 0 0 0 -1 0 0 1
0 1 1 0 0 -1 0 0 0 0 0 0 0 0 0
0 0 0 0 0 1 0 1 0 0 0 0 0 0 0
0 0 1 0 0 -1 0 -1 0 -1 0 0 0 1 1
0 0 1 0 1 0 1 0 0 0 0 0 0 0 0
0 0 -1 0 0 1 -1 0 0 0 0 -1 0 1 1
0 0 -1 1 0 1 -1 1 0 0 0 0 0 0 0
0 0 -1 0 0 1 -1 0 0 0 0 0 0 1 0
0 0 1 0 0 -1 1 -1 0 0 0 0 0 0 0
0 0 1 0 0 -1 0 -1 0 0 0 0 0 0 1
0 0 -1 0 0 1 0 0 0 0 0 0 0 0 0
0 1 0 0 0 0 -1 0 0 0 0 0 0 1 0
0 0 0 0 0 1 0 0 0 -1 0 -1 0 1 1
0 0 0 1 0 0 -1 0 0 0 0 0 0 0 1
0 0 1 0 0 0 1 0 0 0 0 1 0 -1 -1
0 0 0 0 1 0 1 0 0 1 0 0 0 -1 -1
0 0 0 0 0 0 0 0 0 -1 0 0 0 1 0
0 0 0 0 0 0 0 0 0 -1 0 0 0 1 1
0 0 0 0 0 0 0 0 0 0 0 -1 0 1 1
0 0 0 0 0 0 0 0 0 0 0 -1 0 0 1
end
V-representation
begin
***** 15 rational
1 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 1 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 1 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 1 0 0
0 0 0 1 0 0 1 0 0 1 0 1 0 1 1
0 0 1 0 0 1 0 0 0 0 0 0 0 0 0
0 1 0 0 0 1 1 0 0 1 0 1 0 1 1
0 0 1 0 1 1 0 0 0 0 0 0 0 1 0
0 1 0 0 1 1 1 0 0 0 0 1 0 1 1
0 0 1 0 0 1 0 0 0 1 0 0 0 1 0
0 0 1 0 1 1 0 0 0 0 0 0 0 0 1
0 1 0 0 0 1 1 0 0 0 0 0 0 0 1
0 0 1 0 1 1 1 1 0 0 0 0 0 1 1
0 0 1 0 0 1 1 1 0 1 0 0 0 1 1
0 0 0 1 0 0 1 0 0 0 0 0 0 1 0
0 0 0 0 0 0 1 1 0 1 0 1 0 1 1
0 0 0 0 1 0 0 0 0 0 0 1 0 0 1
0 1 0 0 0 1 1 0 0 0 0 1 0 0 1
0 0 0 0 1 0 1 1 0 0 0 1 0 1 1
0 0 0 1 0 0 1 0 0 1 0 0 0 1 0
0 0 1 1 0 1 1 0 0 1 0 0 0 1 1
end
ext:=
[ [ 1, 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, 1, 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, 1, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1 ],
[ 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 1 ],
[ 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 0, 1, 1 ],
[ 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0 ],
[ 0, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1 ],
[ 0, 1, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1 ],
[ 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ],
[ 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 1 ],
[ 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1 ],
[ 0, 0, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0 ],
[ 0, 1, 1, 0, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1 ] ];
UT:=
[ [ 1, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 1, 1, 2, 1, 1, 0, 0, 1, 1, 0, 1 ],
[ 0, 1, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 3, 2, 3, 2, 1, 0, 1, 1, 1, 1, 3 ],
[ 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, 1, 1, 1, 1, 1, 1, 1, 2, 2, 0, 1, 0, 1, 1, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1, 0, 1 ],
[ 0, 0, 1, 0, 0, 0, 1, 1, 1, 2, 2, 1, 2, 1, 3, 2, 1, 1, 1, 1, 2, 1, 2 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1 ],
[ 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, 1, 1, 1, 1, 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, 1, 0, 0, 0, 0, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 2, 2, 1, 2, 2, 3, 2, 1, 0, 0, 1, 1, 0, 2 ],
[ 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 1, 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, 1, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 0 ],
[ 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 2, 0, 1, 1, 2, 1, 1, 1, 1, 1, 2, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 1, 1, 1, 1, 1, 2, 2, 1, 1, 0, 0, 1, 1, 2 ],
[ 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 1, 1, 1, 1, 1, 0, 0, 0, 1, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 1, 1, 1, 0, 1, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 1, 0, 0, 1, 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, 1, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 1, 1 ],
[ 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, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1, 1, 1, 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, 1, 1, 1, 1, 0, 0, 1, 1, 1, 1, 0, 0, 1, 1, 1 ],
[ 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 1, 1, 1, 1, 0, 1, 1, 1, 1, 0, 1 ] ];
U:=
[ [ 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 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, 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, 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, 1, 0, 0 ],
[ 0, 1, 0, 0, 1, 1, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1 ],
[ 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 1, 1, 1, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1 ],
[ 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 2, 2, 0, 1, 1, 2, 1, 0, 1, 0, 0, 1, 1, 2, 0, 0, 0, 1, 1, 2, 0, 0, 1, 1, 1, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1 ],
[ 1, 1, 0, 1, 0, 1, 1, 0, 1, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0 ],
[ 1, 3, 0, 1, 1, 2, 1, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 0, 1, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 1, 2, 0, 1, 0, 1, 1, 0, 0, 0, 0, 1, 0, 2, 0, 0, 0, 0, 1, 1, 0, 0, 1, 0, 1, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1 ],
[ 2, 3, 0, 2, 1, 3, 1, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 0, 2, 1, 0, 2, 1, 1, 1, 1, 1, 0, 0, 0, 0, 0, 1, 1 ],
[ 1, 2, 0, 2, 0, 2, 1, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 1, 0, 2, 0, 1, 1, 1, 1, 0, 1, 0, 0, 0, 1, 1 ],
[ 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1, 0, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0 ],
[ 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1, 0, 1, 0, 1, 0, 1, 1 ],
[ 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1 ],
[ 1, 1, 0, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1, 0, 1, 0, 0, 1, 1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 0, 0, 1 ],
[ 1, 1, 0, 1, 1, 2, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2, 0, 0, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1, 1 ],
[ 0, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0 ],
[ 1, 3, 0, 1, 1, 2, 1, 0, 0, 1, 1, 0, 0, 2, 1, 0, 0, 0, 0, 1, 1, 1, 2, 0, 1, 1, 1, 0, 0, 1, 0, 0, 0, 1, 1 ] ];
## Finalresult with redund
Final:=
[ [ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ 0, 0, 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, -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, -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, 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, -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, -1, 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, 1, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -1, -1, 0, 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, 1, 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, 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, -1, 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, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ],
[ -1, 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, -1, 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, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0 ] ];
ZZ:=
[ [ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0 ],
[ 0, 0, 0, 0, 0 ],
[ 1, 0, 0, 0, 0 ],
[ 0, 1, 0, 0, 0 ],
[ 0, 0, 1, 0, 0 ],
[ 0, -1, -1, 1, 1 ],
[ 0, 0, 0, 0, 0 ],
[ 0, -1, -1, 1, 1 ],
[ 0, 0, 0, 1, 0 ],
[ 0, 0, -1, 1, 1 ],
[ 0, -1, 0, 1, 0 ],
[ 0, 0, 0, 0, 1 ],
[ 0, 0, 0, 0, 1 ],
[ -1, 0, 0, 1, 1 ],
[ -1, -1, 0, 1, 1 ],
[ 0, 0, 0, 1, 0 ],
[ -1, -1, -1, 1, 1 ],
[ 0, 0, -1, 0, 1 ],
[ 0, 0, -1, 0, 1 ],
[ -1, 0, -1, 1, 1 ],
[ 0, -1, 0, 1, 0 ],
[ 0, -1, 0, 1, 1 ] ];
H-representation
begin
20 6 rational
0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0
0 0 -1 -1 1 1
0 0 0 0 0 0
0 0 -1 -1 1 1
0 0 0 0 1 0
0 0 0 -1 1 1
0 0 -1 0 1 0
0 0 0 0 0 1
0 0 0 0 0 1
0 -1 0 0 1 1
0 -1 -1 0 1 1
0 0 0 0 1 0
0 -1 -1 -1 1 1
0 0 0 -1 0 1
0 0 0 -1 0 1
0 -1 0 -1 1 1
0 0 -1 0 1 0
0 0 -1 0 1 1
end
H-representation
begin
6 6 rational
0 1 0 0 0 0
0 0 1 0 0 0
0 0 0 1 0 0
0 -1 -1 -1 1 1
0 0 0 -1 0 1
0 0 -1 0 1 0
end