Dual hypergraph

List of exceptional divisors (vertices)

Chart IDs and indices to the E components of basic objects with largest dimension Centers
E1     [1.0: 1] [2.0: 1] [3.0: 1] [4.0: 1] [5.0: 1] [6.0: 1] [7.0: 1] [8.0: 1] [9.0: 1] [10.0: 1] [11.0: 1] [12.0: 1] [13.0: 1] [14.0: 1] [15.0: 1] [16.0: 1] [17.0: 1] [18.0: 1] [19.0: 1] [20.0: 1] [21.0: 1] [22.0: 1] [23.0: 1] [24.0: 1] [25.0: 1] [26.0: 1] [27.0: 1] [2,0][1,0][3/2,0]
[0.0]
[]
Dim: 0
E2     [15.0: 2] [16.0: 2] [17.0: 2] [18.0: 2] [19.0: 2] [20.0: 2] [23.0: 2] [24.0: 2] [25.0: 2] [1,0][2,0][1,0]
[14.0]
[1]
Dim: 0
E3     [18.0: 3] [19.0: 3] [20.0: 3] [21.0: 2] [22.0: 2] [23.0: 3] [24.0: 3] [25.0: 3] [26.0: 2] [27.0: 2] [1,0][1,0]*
[16.0, 17.0]
[1]
Dim: 1
E4     [8.0: 2] [9.0: 2] [12.0: 2] [22.0: 4] [27.0: 4] [1,0]*
[6.0, 7.0, 11.0, 21.0, 26.0]
[]
Dim: 2
E5     [20.0: 4] [21.0: 3] [22.0: 3] [25.0: 4] [26.0: 3] [27.0: 3] [1,0](-1,1,[2])
[19.0, 24.0]
[1, 2]
Dim: 1

List of hyperbonds (edges, faces, etc.)

[[1, 4], [2, 3, 5], [1, 3, 5], [3, 4, 5]]

Explanation and remarks