Type 2

Triangulation {{x12, x13, x14, x15, x16, x23}, {x12, x14, x15, x16, x23, x24}, {x13, x14, x15, x16, x23, x34}, {x14, x15, x16, x23, x24, x34}, {x13, x15, x16, x23, x34, x35}, {x13, x16, x23, x34, x35, x36}, {x14, x15, x16, x24, x34, x45}, {x14, x16, x24,x34, x45, x46}, {x16, x23, x34, x35, x36, x56}, {x16, x24, x34, x45, x46, x56}, {x12, x15, x23, x24, x25, x26}, {x12, x15, x16, x23, x24, x26}, {x15, x24, x25, x35, x45, x56}, {x15, x16, x23, x34, x35, x56}, {x15, x16, x24, x34, x45, x56}, {x15, x24, x34, x35, x45, x56}, {x15, x23, x24, x25, x35, x56}, {x15, x23, x24, x25, x26, x56}, {x15, x16,x23, x24, x26, x56}, {x15, x16, x23, x24, x34, x56}, {x16, x23, x24, x26, x46, x56}, {x16, x23, x26, x36, x46, x56},{x16, x23, x34, x36, x46, x56}, {x16, x23, x24, x34, x46, x56}, {x15, x23, x24, x34, x35, x56}}
Stanley-Reisner ideal {x36*x14, x25*x34, x24*x36, x26*x34, x35*x46, x35*x12, x16*x25, x26*x35, x36*x45, x15*x36, x26*x45, x12*x46, x23*x46*x14, x25*x36, x56*x14, x45*x23, x24*x13, x45*x12, x25*x46, x13*x46, x16*x35*x45, x16*x24*x35, x35*x14, x13*x56, x26*x14, x26*x13, x34*x12, x15*x46, x36*x12, x45*x13, x25*x14, x25*x13, x12*x56}
Representative metric [8, 8, 8, 14, 15, 16, 14, 6, 9, 12, 12, 7, 8, 7, 13]
Extreme rays 0 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0
0 1 0 1 1 1 1 0 0 0 1 1 1 0 0 0
0 1 2 2 2 3 3 3 1 2 2 2 1 2 1 3
0 1 1 1 2 2 2 2 1 1 0 1 1 1 1 2
0 1 0 0 1 0 1 1 0 1 0 1 0 1 0 1
0 1 1 1 2 2 2 2 1 1 2 1 1 1 1 0
0 2 2 2 3 4 4 4 1 2 4 3 2 3 2 3
0 2 1 1 3 3 3 3 1 1 2 2 2 2 2 2
0 1 1 1 2 2 2 2 1 1 2 1 1 1 1 2
0 1 1 1 2 2 2 2 1 1 2 2 1 1 1 2
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 0 1 1 0 0 1 1 1 0 0 1 1
0 0 1 0 0 0 1 0 0 0 1 1 1 0 0 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 -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
0 -1 0 1 0 0 1 0 0 0 -1 0 0 0 0 0
0 0 0 0 0 0 1 0 0 -1 -1 0 0 0 1 0
0 -1 0 0 1 0 0 0 0 1 0 0 0 0 0 -1
0 1 0 0 -1 0 0 0 1 0 0 0 0 0 0 0
0 0 1 0 0 -1 0 0 0 0 0 0 1 0 0 0
0 0 0 1 0 -1 0 0 0 0 0 0 0 0 1 0
0 0 0 0 0 0 0 -1 1 0 0 0 0 1 0 0
0 0 0 0 0 0 -1 0 0 1 0 0 1 0 0 0
0 1 1 0 0 0 -1 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 0 0 0 1 -1 0 0 -1 1 0 0 0 0 0 0
0 0 0 0 0 0 1 -1 0 0 0 0 -1 0 1 0
0 0 0 0 0 0 -1 1 0 0 0 1 0 -1 0 0
0 0 0 0 1 -1 1 -1 0 0 1 -2 0 0 0 1