Type 39

Triangulation {{x15, x25, x26, x34, x36, x45}, {x15, x25, x26, x36, x45, x56}, {x12, x14, x15, x23, x25, x26}, {x15, x23, x25, x26, x34, x36}, {x12, x13, x14, x15, x16, x23}, {x16, x26, x36, x45, x46, x56}, {x14, x15, x25, x26, x34, x45}, {x14, x15, x23, x25, x26, x34}, {x15, x16, x26, x36, x45, x56}, {x15, x25, x34, x35, x36, x45}, {x13, x15, x23, x34, x35, x36}, {x15, x23, x25, x34, x35, x36}, {x15, x25, x35, x36, x45, x56}, {x12, x14, x15, x16, x23, x26}, {x14,x24, x26, x34, x45, x46}, {x14, x24, x25, x26, x34, x45}, {x14, x23, x24, x25, x26, x34}, {x12, x14, x23, x24, x25, x26},{x14, x26, x34, x36, x45, x46}, {x13, x14, x15, x16, x23, x36}, {x14, x15, x16, x26, x36, x45}, {x14, x16, x26, x36,x45, x46}, {x14, x15, x23, x26, x34, x36}, {x13, x14, x15, x23, x34, x36}, {x14, x15, x26, x34, x36, x45}, {x14, x15, x16, x23, x26, x36}}
Stanley-Reisner ideal {x35*x46, x15*x24, x16*x25, x56*x14, x16*x35, x16*x34, x34*x56, x35*x12, x16*x24, x12*x46, x24*x56, x23*x56, x23*x46, x24*x35, x24*x13, x34*x12, x25*x46, x24*x36, x26*x35, x13*x46, x13*x56, x12*x56, x25*x13, x45*x12, x26*x13, x35*x14, x45*x23, x15*x46, x36*x12, x45*x13, x25*x36*x14}
Representative metric [2, 2, 5, 5, 4, 4, 3, 4, 5, 5, 3, 5, 4, 2, 2]
Extreme rays 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0
0 1 0 1 0 0 1 0 1 1 1 0 0 1 1 0
0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 0
0 1 1 2 2 1 2 1 1 2 3 1 2 2 1 1
0 1 1 3 3 2 2 2 2 3 2 2 3 2 1 1
0 0 1 1 1 1 1 1 1 1 0 0 0 0 0 0
0 1 0 0 0 0 1 1 1 1 0 0 0 0 0 0
0 0 1 0 1 0 1 0 1 0 1 0 1 1 0 1
0 0 0 1 1 1 0 1 1 1 1 1 1 0 0 0
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 1 0 -1 0 0 0 1 0 0 0 0 0 0 0 0
0 0 1 0 -1 0 0 0 0 0 0 1 0 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 0 0 0 1 -1 0 0 1
0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 1
0 1 1 0 0 0 -1 0 0 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 0 0 1 1 0 0 -1 0 0 0 0 0 0
0 0 0 -1 1 0 0 0 -1 1 1 0 -1 0 0 0
0 -1 0 0 0 1 1 0 0 0 0 0 -1 0 0 0
0 0 0 0 0 0 0 0 1 -1 0 -1 1 0 0 0
0 0 0 1 0 -1 0 0 0 0 -1 0 1 0 0 0
0 0 0 0 0 0 -1 0 1 0 1 0 0 -1 0 0
0 0 0 0 -1 1 0 0 0 0 0 0 0 1 -1 0
0 0 0 -1 0 1 0 0 0 0 0 0 0 1 0 -1