i8 : realsols = findRealSolutions I
warning: some solutions are not regular: {13, 14, 16, 20, 21, 24, 25, 26, 27, 28, 29, 34, 37, 43, 44, 45, 46}
o8 = {{1, 1, 1, -1, 0, 0, 0, 0}, {1, 1, 1, 1, 0, 0, 0, 0}, {-1, 1, -1, -1, 0,
------------------------------------------------------------------------
0, 0, 0}, {-1, 1, -1, 1, 0, 0, 0, 0}, {0, -1, 0, -1, -1, 0, 1, 0}, {0,
------------------------------------------------------------------------
-1, 0, -1, 1, 0, -1, 0}, {0, -1, 0, -1, 1, 0, -1, 0}, {0, -1, 0, 1, 1,
------------------------------------------------------------------------
0, -1, 0}, {0, -1, 0, 1, -1, 0, 1, 0}, {0, -1, 0, 1, 1, 0, -1, 0},
------------------------------------------------------------------------
{.203311, -.91733, -.203311, -1, -.979114, -.398129, .979114, 0},
------------------------------------------------------------------------
{.203311, -.91733, -.203311, 1, -.979114, -.398129, .979114, 0},
------------------------------------------------------------------------
{-.203311, -.91733, .203311, -1, -.979114, .398129, .979114, 0},
------------------------------------------------------------------------
{-.203311, -.91733, .203311, 1, -.979114, .398129, .979114, 0}, {0, -1,
------------------------------------------------------------------------
0, -1, -1, 0, 1, 0}, {0, -1, 0, 1, -1, 0, 1, 0}}
o8 : List
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i10 : C = decompose I
2 2
o10 = {ideal (y , y , y + y , x - 1, x + 1, x - x , x + y - 1), ideal
4 2 1 3 4 2 1 3 3 3
-----------------------------------------------------------------------
2 2
(y , y , y + y , x - 1, x + 1, x + x , x + y - 1), ideal (y , y ,
4 2 1 3 4 2 1 3 3 3 4 2
-----------------------------------------------------------------------
2 2
y + y , x + 1, x + 1, x - x , x + y - 1), ideal (y , y , y + y ,
1 3 4 2 1 3 3 3 4 2 1 3
-----------------------------------------------------------------------
2 2
x + 1, x + 1, x + x , x + y - 1), ideal (y , y + y , x - 1, x +
4 2 1 3 3 3 4 1 3 4 1
-----------------------------------------------------------------------
2 2
x , 2y + x - 1, 2x y - y , x y - x y - y , 2x - x - 1, x x +
3 3 2 3 3 2 3 2 2 3 3 3 2 2 3
-----------------------------------------------------------------------
2 2 2
y y - x , x + y - 1), ideal (y , y + y , x + 1, x + x , 2y + x
2 3 3 2 2 4 1 3 4 1 3 3 2
-----------------------------------------------------------------------
2 2
- 1, 2x y - y , x y - x y - y , 2x - x - 1, x x + y y - x , x +
3 3 2 3 2 2 3 3 3 2 2 3 2 3 3 2
-----------------------------------------------------------------------
2
y - 1), ideal (y , y , y , y , x - 1, x - 1, x - 1, x - 1), ideal
2 4 3 2 1 4 3 2 1
-----------------------------------------------------------------------
(y , y , y , y , x - 1, x + 1, x - 1, x + 1), ideal (y , y , y ,
4 3 2 1 4 3 2 1 4 3 2
-----------------------------------------------------------------------
y , x + 1, x - 1, x - 1, x - 1), ideal (y , y , y , y , x + 1, x
1 4 3 2 1 4 3 2 1 4 3
-----------------------------------------------------------------------
+ 1, x - 1, x + 1)}
2 1
o10 : List
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