Type 55

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}, {x16, x23, x26, x34, x35, x36}, {x14, x15, x16, x24, x34, x45}, {x16, x26, x34, x35, x36, x45}, {x14, x16, x24, x34, x45, x46}, {x16, x24, x26, x34, x45, x46}, {x16, x26, x34, x36, x45, x46}, {x16, x26, x35, x36, x45, x56}, {x16, x26, x36, x45, x46, x56}, {x15, x25,x26, x35, x45, x56}, {x12, x15, x23, x24, x25, x26}, {x12, x15, x16, x23, x24, x26}, {x15, x16, x26, x35, x45, x56},{x16, x23, x24, x26, x34, x45}, {x16, x23, x26, x34, x35, x45}, {x15, x16, x23, x24, x34, x45}, {x15, x16, x23, x34, x35, x45}, {x15, x23, x24, x25, x26, x45}, {x15, x23, x25, x26, x35, x45}, {x15, x16, x23, x24, x26, x45}, {x15, x16, x23, x26, x35, x45}}
Stanley-Reisner ideal {x56*x14, x25*x36, x24*x13, x12*x46, x36*x12, x16*x25, x24*x56, x36*x45*x23, x24*x35, x24*x36, x25*x14, x36*x14, x25*x13, x15*x26*x34, x26*x14, x26*x13, x45*x13, x13*x46, x13*x56, x12*x56, x35*x14, x45*x12, x34*x12, x25*x34, x34*x56, x23*x46, x23*x56, x15*x36, x15*x46, x35*x12, x35*x46, x45*x23*x14, x25*x46}
Representative metric [4, 5, 6, 9, 11, 9, 8, 5, 9, 9, 8, 6, 9, 5, 4]
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 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 1 1 1 1 2 2 2 0 1 2 2 1 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 1 1 0 1 1 1 0 0 1 1 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 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 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 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 -1 1 1 0 0 -1 -1 0 0 1 0 0
0 -1 0 1 0 0 1 0 0 0 -1 0 0 0 0 0
0 0 0 0 0 0 1 -1 0 0 0 -1 0 1 0 0
0 0 0 0 0 0 -1 0 0 1 1 1 -1 -1 0 0
0 0 0 -1 1 0 -1 1 0 0 1 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