Type 67

Triangulation {{x13, x16, x23, x34, x35, x36}, {x16, x23, x26, x34, x35, x36}, {x16, x26, x34, x35, x36, x45}, {x16, x26,x34, x36, x45, x46}, {x16, x26, x35, x36, x45, x56}, {x16, x26, x36, x45, x46, x56}, {x14, x15, x25, x26, x34,x45}, {x12, x14, x15, x16, x26, x34}, {x15, x16, x26, x34, x35, x45}, {x15, x25, x26, x35, x45, x56}, {x15, x16, x26,x35, x45, x56}, {x15, x25, x26, x34, x35, x45}, {x12, x13, x14, x15, x16, x34}, {x14, x24, x26, x34, x45, x46}, {x14, x16, x26, x34, x45, x46}, {x14, x15, x16, x26, x34, x45}, {x14, x24, x25, x26, x34, x45}, {x12, x23, x24, x25, x26, x34}, {x12, x14, x24, x25, x26, x34}, {x12, x14, x15, x25, x26, x34}, {x12, x23, x25, x26, x34, x35}, {x12, x13, x15, x16, x34,x35}, {x12, x13, x16, x23, x34, x35}, {x12, x15, x25, x26, x34, x35}, {x12, x15, x16, x26, x34, x35}, {x12, x16, x23, x26, x34, x35}}
Stanley-Reisner ideal {x36*x14, x23*x56, x56*x14, x45*x23, x23*x46, x45*x12, x15*x24, x24*x56, x16*x24, x12*x46, x36*x12, x25*x13, x15*x23, x23*x14, x24*x13, x45*x13, x16*x25, x24*x36, x13*x46, x13*x56, x24*x35, x12*x56, x35*x46, x15*x36, x35*x14, x25*x36, x25*x46, x15*x46, x26*x13, x34*x56}
Representative metric [7, 3, 10, 10, 12, 6, 7, 9, 13, 13, 11, 9, 10, 6, 4]
Extreme rays 0 2 1 2 2 3 1 2 2 3 3 3 2 2 1 1
0 1 0 1 0 0 1 0 1 1 1 0 0 1 1 0
0 2 1 1 2 2 1 1 2 2 2 1 1 1 1 0
0 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0
0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 0
0 1 0 2 2 1 1 1 1 2 2 2 1 2 1 1
0 0 0 1 1 1 0 1 1 1 1 1 1 0 0 0
0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0
0 0 1 1 1 2 1 1 1 2 2 2 1 2 1 1
0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 0
0 0 0 1 0 1 0 1 0 1 1 0 1 1 0 1
0 0 0 0 1 1 0 0 1 1 0 1 1 1 1 0
0 0 0 1 0 0 0 1 0 0 1 0 0 1 1 0
0 0 0 0 1 0 0 0 1 0 0 1 0 1 0 1
0 0 0 0 0 1 0 0 0 1 0 0 1 0 1 1
Facets / Linear inequalities 0 0 0 0 0 0 1 1 0 0 -1 0 0 0 0 0
0 0 1 0 0 -1 0 0 0 0 0 0 1 0 0 0
0 0 0 0 0 0 0 1 0 -1 0 0 0 0 1 0
0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 1
0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 1
0 0 1 1 0 0 0 0 0 0 -1 0 0 0 0 0
0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0 0
0 0 -1 0 0 1 1 0 0 -1 0 0 0 0 0 0
0 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0
0 0 0 -1 1 0 0 0 0 0 1 -1 0 0 0 0
0 1 0 0 -1 0 -1 0 0 0 0 1 0 0 0 0
0 -1 0 0 0 1 1 0 0 0 0 0 -1 0 0 0
0 -1 0 1 0 0 0 0 1 0 0 0 0 -1 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 -1 0 1 1 0 -1