Classification of Six-Point Metrics

Web page for the paper by Bernd Sturmfels and Josephine Yu

The computational results in this web page were obtained by the polyhedral software packages TOPCOM and POLYMAKE. The pictures of the tight spans were made using JAVAVIEW.


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Two-Dimensional Metrics
Three-Dimensional Metrics
Non-Regular Triangulations
Prime Metrics
Graph Metrics
Invariants
B =(b_3, b_4, b_5, b_6), b_i = number of polygons with i edges (blue polygons)
R =(r_3, r_4, r_5, r_6), r_i = number of polygons with i edges on the three-cell (red polygons)
S =(s_2, s_3) = (number of 2/4-splits, number of 3/3 splits)
P =(p_1, p_2, ... , p_11), p_i = number of extreme rays of type prime metric on the cone
C =(c_5, c_6), c_i = number of cubic generators of Stanley-Reisner ideal which involve i points
g =order of the symmetry group


The 12 Two-Dimensional Generic Six Point Metrics (Section 2)
Type B g c_5 + c_6 S, P Picture and more
1(1,10,4) 1 2 [4, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0]Type 1
2(1, 10, 4) 1 3 [4, 0, 0, 1, 0, 0, 0, 2, 1, 1, 0, 2, 0]Type 2
3 (1, 10, 4) 15 [4, 0, 0, 1, 0, 0, 0, 3, 1, 3, 0, 3, 0]Type 3
4(1, 10, 4) 23 [4, 0, 0, 1, 0, 0, 0, 3, 1, 2, 0, 2, 0]Type 4
5(1, 10, 4) 24 [4, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0]Type 5
6(1, 10, 4) 25 [4, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 3, 0]Type 6
7(1, 10, 4) 8 6 [4, 0, 0, 1, 0, 0, 0, 4, 1, 4, 0, 4, 0]Type 7
8(2, 8, 5) 13 [5, 0, 0, 1, 0, 0, 0, 2, 2, 1, 0, 1, 0]Type 8
9(2, 8, 5) 24 [4, 0, 0, 1, 0, 0, 0, 2, 1, 2, 0, 2, 0]Type 9
10(2, 8, 5) 24 [5, 0, 0, 1, 0, 0, 0, 1, 2, 2, 0, 2, 0]Type 10
11(2, 8, 5) 24 [5, 0, 0, 1, 0, 0, 0, 2, 2, 2, 0, 2, 0]Type 11
12 (3, 6, 6) 123 [6, 0, 0, 1, 0, 0, 0, 3, 3, 0, 0, 0, 0]Type 12

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The 327 Three-Dimensional Generic Six Point Metrics
(Section 3)
Type R B S C g S, P Picture and more
13(4,0,0,0)(0,10,2,2)(6,0)(0,2)4[6, 0, 0, 0, 1, 0, 0, 2, 1, 0, 0, 0, 0]Type 13
14(4,0,0,0)(0,9,4,1)(5,0)(1,1)1 [5, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 1, 0] Type 14
15(4,0,0,0)(0,9,4,1)(5,0)(2,1)2 [5, 0, 0, 0, 1, 0, 0, 1, 1, 0, 0, 2, 0] Type 15
16(4,0,0,0)(1,7,5,1)(4,0)(1,0)1 [4, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 1, 0] Type 16
17(4,0,0,0)(1,7,5,1)(4,0)(2,0)1 [4, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 2, 0] Type 17
18(4,0,0,0)(1,8,3,2)(5,0)(1,1)1 [5, 0, 0, 0, 1, 0, 0, 2, 1, 1, 0, 1, 0] Type 18
19(4,0,0,0)(1,8,3,2)(5,0)(2,1)1 [5, 0, 0, 0, 1, 0, 0, 1, 1, 1, 0, 2, 0] Type 19
20(4,0,0,0)(2,6,4,2)(4,0)(2,0)1 [4, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0] Type 20
21(4,0,0,0)(2,6,4,2)(4,0)(2,0)2 [4, 0, 0, 0, 1, 0, 0, 3, 1, 2, 0, 2, 0] Type 21
22(4,0,0,0)(2,6,4,2)(4,0)(3,0)2 [4, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0] Type 22
23(4,0,0,0)(2,6,4,2)(4,0)(4,0)2 [4, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 3, 0] Type 23
24(4,0,0,0)(2,7,2,3)(5,0)(2,1)2 [5, 0, 0, 0, 1, 0, 0, 2, 1, 2, 0, 2, 0] Type 24
25(4,0,0,0)(3,5,3,3)(4,0)(4,0)1 [4, 0, 0, 0, 1, 0, 0, 3, 1, 3, 0, 3, 0] Type 25
26(4,0,0,0)(4,4,2,4)(4,0)(6,0)8 [4, 0, 0, 0, 1, 0, 0, 4, 1, 4, 0, 4, 0] Type 26
27(2,3,0,0)(0,10,2,1)(5,1)(2,1)2 [5, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0] Type 27
28(2,3,0,0)(0,8,5,0)(4,0)(1,0)1 [4, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1] Type 28
29(2,3,0,0)(0,8,5,0)(5,0)(2,1)1 [5, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 1, 1] Type 29
30(2,3,0,0)(0,9,3,1)(4,0)(2,0)1 [4, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1] Type 30
31(2,3,0,0)(0,9,3,1)(5,0)(1,1)1 [5, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1] Type 31
32(2,3,0,0)(0,9,4,0)(5,1)(0,1)2 [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1] Type 32
33(2,3,0,0)(0,9,4,0)(5,1)(0,1)2 [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0] Type 33
34(2,3,0,0)(0,9,4,0)(5,1)(1,1)1 [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1] Type 34
35(2,3,0,0)(0,9,4,0)(5,1)(1,1)1 [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0] Type 35
36(2,3,0,0)(0,9,4,0)(5,1)(1,1)1 [5, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0] Type 36
37(2,3,0,0)(0,9,4,0)(5,1)(2,1)2 [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1] Type 37
38(2,3,0,0)(0,9,4,0)(5,1)(2,1)2 [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0] Type 38
39(2,3,0,0)(0,9,4,0)(6,1)(0,1)2 [6, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0] Type 39
40(2,3,0,0)(1,6,6,0)(4,0)(2,0)1 [4, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1] Type 40
41(2,3,0,0)(1,6,6,0)(4,0)(4,0)2 [4, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 2, 1] Type 41
42(2,3,0,0)(1,7,4,1)(4,0)(2,0)1 [4, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1] Type 42
43(2,3,0,0)(1,7,4,1)(4,0)(2,0)1 [4, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1] Type 43
44(2,3,0,0)(1,7,4,1)(4,0)(3,0)1 [4, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1] Type 44
45(2,3,0,0)(1,7,4,1)(5,0)(2,1)1 [5, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 1, 1] Type 45
46(2,3,0,0)(1,7,5,0)(5,1)(1,1)1 [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1] Type 46
47(2,3,0,0)(1,7,5,0)(5,1)(1,1)1 [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0] Type 47
48(2,3,0,0)(1,7,5,0)(5,1)(1,1)1 [5, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 0] Type 48
49(2,3,0,0)(1,7,5,0)(5,1)(2,1)1 [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1] Type 49
50(2,3,0,0)(1,7,5,0)(5,1)(2,1)1 [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0] Type 50
51(2,3,0,0)(1,8,2,2)(4,0)(4,0)2 [4, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 3, 1] Type 51
52(2,3,0,0)(1,8,3,1)(5,1)(2,1)1 [5, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0] Type 52
53(2,3,0,0)(2,5,5,1)(4,0)(4,0)1 [4, 0, 0, 0, 1, 0, 0, 1, 0, 1, 0, 2, 1] Type 53
54(2,3,0,0)(2,5,5,1)(4,0)(4,0)1 [4, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 2, 1] Type 54
55(2,3,0,0)(2,5,6,0)(5,1)(2,1)2 [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1] Type 55
56(2,3,0,0)(2,5,6,0)(5,1)(2,1)2 [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0] Type 56
57(2,3,0,0)(2,6,3,2)(4,0)(4,0)1 [4, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 3, 1] Type 57
58(2,3,0,0)(2,6,4,1)(5,1)(2,1)2 [5, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 0] Type 58
59(2,3,0,0)(3,4,4,2)(4,0)(6,0)2 [4, 0, 0, 0, 1, 0, 0, 2, 0, 1, 0, 3, 1] Type 59
60(0,6,0,0)(0,10,1,1)(4,1)(1,0)1 [4, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1] Type 60
61(0,6,0,0)(0,10,2,0)(4,2)(0,0)2 [4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0] Type 61
62(0,6,0,0)(0,10,2,0)(4,2)(0,0)2 [4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0] Type 62
63(0,6,0,0)(0,10,2,0)(5,2)(0,0)1 [5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1] Type 63
64(0,6,0,0)(0,10,2,0)(5,2)(0,0)1 [5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1] Type 64
65(0,6,0,0)(0,10,2,0)(6,2)(0,0)4 [6, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0] Type 65
66(0,6,0,0)(0,12,0,0)(6,3)(0,0)12 [6, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0] Type 66
67(0,6,0,0)(0,8,4,0)(4,1)(0,0)1 [4, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2] Type 67
68(0,6,0,0)(0,8,4,0)(4,1)(0,0)2 [4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1] Type 68
69(0,6,0,0)(0,8,4,0)(4,1)(1,0)1 [4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1] Type 69
70(0,6,0,0)(0,8,4,0)(4,1)(2,0)2 [4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1] Type 70
71(0,6,0,0)(0,8,4,0)(4,2)(0,0)2 [4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0] Type 71
72(0,6,0,0)(0,8,4,0)(4,2)(0,0)2 [4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0] Type 72
73(0,6,0,0)(0,8,4,0)(5,1)(0,0)2 [5, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 2] Type 73
74(0,6,0,0)(0,9,2,1)(4,1)(0,0)2 [4, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2] Type 74
75(0,6,0,0)(0,9,3,0)(4,1)(0,0)1 [4, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1] Type 75
76(0,6,0,0)(0,9,3,0)(4,1)(1,0)1 [4, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1] Type 76
77(0,6,0,0)(0,9,3,0)(5,1)(0,0)1 [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1] Type 77
78(0,6,0,0)(0,9,3,0)(5,1)(0,0)1 [5, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 1] Type 78
79(0,6,0,0)(0,9,3,0)(5,1)(1,0)1 [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1] Type 79
80(0,6,0,0)(1,6,5,0)(4,0)(3,0)2 [4, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2] Type 80
81(0,6,0,0)(1,6,5,0)(4,0)(4,0)2 [4, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2] Type 81
82(0,6,0,0)(1,6,5,0)(4,1)(1,0)1 [4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1] Type 82
83(0,6,0,0)(1,6,5,0)(4,1)(2,0)1 [4, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 2] Type 83
84(0,6,0,0)(1,6,5,0)(4,1)(2,0)1 [4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1] Type 84
85(0,6,0,0)(1,6,5,0)(4,2)(2,0)1 [4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0] Type 85
86(0,6,0,0)(1,7,3,1)(4,1)(2,0)1 [4, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2] Type 86
87(0,6,0,0)(1,7,4,0)(4,1)(1,0)1 [4, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1] Type 87
88(0,6,0,0)(1,7,4,0)(4,1)(2,0)1 [4, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 1] Type 88
89(0,6,0,0)(1,7,4,0)(5,1)(1,0)1 [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1] Type 89
90(0,6,0,0)(1,8,2,1)(4,1)(1,0)1 [4, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1] Type 90
91(0,6,0,0)(1,8,2,1)(4,1)(3,0)1 [4, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1] Type 91
92(0,6,0,0)(1,8,3,0)(4,2)(2,0)1 [4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0] Type 92
93(0,6,0,0)(1,8,3,0)(5,2)(2,0)1 [5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1] Type 93
94(0,6,0,0)(2,4,6,0)(4,0)(4,0)1 [4, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2] Type 94
95(0,6,0,0)(2,4,6,0)(4,1)(2,0)2 [4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 1] Type 95
96(0,6,0,0)(2,4,6,0)(4,2)(4,0)4 [4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0] Type 96
97(0,6,0,0)(2,5,4,1)(4,1)(4,0)2 [4, 1, 0, 0, 0, 0, 0, 1, 0, 0, 0, 2, 2] Type 97
98(0,6,0,0)(2,6,3,1)(4,1)(3,0)1 [4, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 1] Type 98
99(0,6,0,0)(2,6,4,0)(4,2)(4,0)4 [4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2, 0] Type 99
100(0,6,0,0)(3,2,7,0)(4,0)(6,0)4 [4, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2] Type 100
101(2,2,2,0)(0,8,4,0)(4,0)(2,0)1 [4, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2] Type 101
102(2,2,2,0)(0,8,4,0)(5,0)(2,1)2 [5, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2] Type 102
103(2,2,2,0)(0,9,2,1)(4,0)(2,0)2 [4, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2] Type 103
104(2,2,2,0)(0,9,3,0)(5,1)(1,1)1 [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1] Type 104
105(2,2,2,0)(0,9,3,0)(5,1)(1,1)1 [5, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1] Type 105
106(2,2,2,0)(0,9,3,0)(5,1)(1,1)1 [5, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0] Type 106
107(2,2,2,0)(0,9,3,0)(5,1)(2,1)1 [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1] Type 107
108(2,2,2,0)(0,9,3,0)(5,1)(2,1)1 [5, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1] Type 108
109(2,2,2,0)(0,9,3,0)(5,1)(2,1)1 [5, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0] Type 109
110(2,2,2,0)(1,6,5,0)(4,0)(3,0)2 [4, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2] Type 110
111(2,2,2,0)(1,6,5,0)(4,0)(4,0)1 [4, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2] Type 111
112(2,2,2,0)(1,6,5,0)(4,0)(4,0)2 [4, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2] Type 112
113(2,2,2,0)(1,7,3,1)(4,0)(4,0)1 [4, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2] Type 113
114(2,2,2,0)(1,7,4,0)(5,1)(2,1)1 [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1] Type 114
115(2,2,2,0)(1,7,4,0)(5,1)(2,1)1 [5, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1] Type 115
116(2,2,2,0)(1,7,4,0)(5,1)(2,1)1 [5, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0] Type 116
117(2,2,2,0)(2,4,6,0)(4,0)(4,0)1 [4, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2] Type 117
118(2,2,2,0)(2,5,4,1)(4,0)(6,0)2 [4, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2] Type 118
119(2,2,2,0)(3,2,7,0)(4,0)(6,0)4 [4, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2, 2] Type 119
120(0,5,2,0)(0,10,0,1)(3,1)(0,0)2 [3, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2] Type 120
121(0,5,2,0)(0,10,1,0)(4,2)(0,0)1 [4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1] Type 121
122(0,5,2,0)(0,10,1,0)(4,2)(0,0)1 [4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1] Type 122
123(0,5,2,0)(0,10,1,0)(5,2)(0,0)1 [5, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1] Type 123
124(0,5,2,0)(0,11,0,0)(5,3)(0,0)2 [5, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1] Type 124
125(0,5,2,0)(0,8,3,0)(4,1)(0,0)1 [4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1] Type 125
126(0,5,2,0)(0,8,3,0)(4,1)(1,0)1 [4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1] Type 126
127(0,5,2,0)(0,9,2,0)(3,1)(0,0)1 [3, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2] Type 127
128(0,5,2,0)(0,9,2,0)(4,1)(0,0)1 [4, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1] Type 128
129(0,5,2,0)(0,9,2,0)(4,1)(0,0)2 [4, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2] Type 129
130(0,5,2,0)(0,9,2,0)(4,1)(1,0)1 [4, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1] Type 130
131 0,5,2,0)(0,9,2,0)(4,2)(0,0)1 [4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2] Type 131
132 0,5,2,0)(0,9,2,0)(4,2)(0,0)1 [4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2] Type 132
133 0,5,2,0)(0,9,2,0)(4,2)(0,0)1 [4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1] Type 133
134 0,5,2,0)(0,9,2,0)(4,2)(0,0)1 [4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1] Type 134
135(0,5,2,0)(0,9,2,0)(5,1)(0,0)2 [5, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 2] Type 135
136(0,5,2,0)(0,9,2,0)(5,2)(0,0)2 [5, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1] Type 136
137(0,5,2,0)(1,6,4,0)(4,1)(1,0)1 [4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1] Type 137
138(0,5,2,0)(1,6,4,0)(4,1)(2,0)1 [4, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1] Type 138
139(0,5,2,0)(1,6,4,0)(4,1)(2,0)1 [4, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1] Type 139
140(0,5,2,0)(1,6,4,0)(4,2)(2,0)1 [4, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1] Type 140
141(0,5,2,0)(1,7,3,0)(3,1)(2,0)1 [3, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 1, 2] Type 141
142(0,5,2,0)(1,7,3,0)(4,1)(1,0)1 [4, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1] Type 142
143(0,5,2,0)(1,7,3,0)(4,1)(2,0)1 [4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2] Type 143
144(0,5,2,0)(1,7,3,0)(4,1)(3,0)1 [4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2] Type 144
>145(0,5,2,0)(1,7,3,0)(4,2)(2,0)1 [4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2] Type 145
146(0,5,2,0)(1,7,3,0)(4,2)(2,0)1 [4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1] Type 146
147(0,5,2,0)(1,8,1,1)(3,1)(2,0)1 [3, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2] Type 147
148(0,5,2,0)(1,8,2,0)(4,2)(2,0)1 [4, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1] Type 148
149(0,5,2,0)(1,8,2,0)(4,2)(2,0)1 [4, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1] Type 149
150(0,5,2,0)(1,8,2,0)(5,2)(2,0)1 [5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1] Type 150
151(0,5,2,0)(2,4,5,0)(4,1)(4,0)1 [4, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1] Type 151
152(0,5,2,0)(2,4,5,0)(4,2)(4,0)2 [4, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1] Type 152
153(0,5,2,0)(2,5,4,0)(4,1)(3,0)1 [4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 2] Type 153
154(0,5,2,0)(2,6,2,1)(3,1)(4,0)2 [3, 1, 0, 0, 1, 0, 0, 1, 0, 0, 0, 2, 2] Type 154
155(0,5,2,0)(2,6,3,0)(4,2)(4,0)2 [4, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 1] Type 155
156(1,3,3,0)(0,8,3,0)(4,1)(1,0)1 [4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1] Type 156
157(1,3,3,0)(0,8,3,0)(4,1)(2,0)1 [4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1] Type 157
158(1,3,3,0)(0,9,2,0)(4,1)(0,1)1 [4, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1] Type 158
159(1,3,3,0)(0,9,2,0)(4,1)(1,0)1 [4, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2] Type 159
160(1,3,3,0)(0,9,2,0)(4,1)(1,0)1 [4, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2] Type 160
161(1,3,3,0)(0,9,2,0)(4,1)(1,1)1 [4, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1] Type 161
162(1,3,3,0)(0,9,2,0)(5,1)(1,0)1 [5, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1] Type 162
163(1,3,3,0)(1,6,4,0)(4,0)(4,0)1 [4, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2] Type 163
164(1,3,3,0)(1,6,4,0)(4,1)(2,0)1 [4, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2] Type 164
165(1,3,3,0)(1,6,4,0)(4,1)(2,0)1 [4, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2] Type 165
166(1,3,3,0)(1,6,4,0)(4,1)(2,0)1 [4, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1] Type 166
167(1,3,3,0)(1,6,4,0)(4,2)(2,0)1 [4, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0] Type 167
168(1,3,3,0)(1,7,3,0)(4,1)(1,1)1 [4, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1] Type 168
169(1,3,3,0)(1,7,3,0)(4,1)(2,0)1 [4, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2] Type 169
170(1,3,3,0)(1,7,3,0)(4,1)(3,0)1 [4, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2] Type 170
171(1,3,3,0)(1,7,3,0)(4,1)(3,0)1 [4, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2] Type 171
172(1,3,3,0)(1,8,2,0)(4,2)(2,0)1 [4, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0] Type 172
173(1,3,3,0)(1,8,2,0)(5,2)(2,0)1 [5, 2, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1] Type 173
174(1,3,3,0)(2,4,5,0)(4,0)(6,0)2 [4, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2] Type 174
175(1,3,3,0)(2,4,5,0)(4,1)(4,0)1 [4, 1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2] Type 175
176(1,3,3,0)(2,4,5,0)(4,2)(4,0)2 [4, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0] Type 176
177(1,3,3,0)(2,5,4,0)(4,1)(3,0)1 [4, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2] Type 177
178(1,3,3,0)(2,6,3,0)(4,2)(4,0)2 [4, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 0] Type 178
179(2,2,2,1)(0,9,2,0)(5,1)(2,1)2 [5, 1, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1] Type 179
180(2,2,2,1)(0,9,2,0)(5,1)(2,1)2 [5, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1] Type 180
181(2,3,0,2)(0,9,2,0)(5,1)(2,1)2 [5, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2] Type 181
182(3,0,3,1)(1,6,4,0)(4,0)(4,0)1 [4, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 3] Type 182
183(3,0,3,1)(2,4,5,0)(4,0)(6,0)2 [4, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 3] Type 183
184(0,4,4,0)(0,10,0,0)(4,2)(0,0)2 [4, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2] Type 184
185(0,4,4,0)(0,10,0,0)(4,3)(0,0)2 [4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2] Type 185
186(0,4,4,0)(0,9,1,0)(3,2)(0,0)1 [3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1] Type 186
187(0,4,4,0)(0,9,1,0)(3,2)(0,0)1 [3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1] Type 187
188(0,4,4,0)(0,9,1,0)(4,1)(0,0)1 [4, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2] Type 188
189(0,4,4,0)(0,9,1,0)(4,2)(0,0)1 [4, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2] Type 189
190(0,4,4,0)(1,7,2,0)(3,1)(1,0)1 [3, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2] Type 190
191(0,4,4,0)(1,7,2,0)(3,1)(1,0)1 [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2] Type 191
192(0,4,4,0)(1,7,2,0)(3,1)(2,0)1 [3, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2] Type 192
193(0,4,4,0)(1,7,2,0)(3,1)(2,0)1 [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2] Type 193
194(0,4,4,0)(1,7,2,0)(3,1)(2,0)1 [3, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2] Type 194
195(0,4,4,0)(1,7,2,0)(3,1)(2,0)1 [3, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2] Type 195
196(0,4,4,0)(1,7,2,0)(3,2)(1,0)1 [3, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2] Type 196
197(0,4,4,0)(1,7,2,0)(3,2)(1,0)1 [3, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2] Type 197
198(0,4,4,0)(1,7,2,0)(3,2)(1,0)1 [3, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1] Type 198
199(0,4,4,0)(1,7,2,0)(3,2)(1,0)1 [3, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1] Type 199
200(0,4,4,0)(1,7,2,0)(3,2)(2,0)1 [3, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 1] Type 200
201(0,4,4,0)(1,7,2,0)(4,1)(1,0)1 [4, 1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2] Type 201
202(0,4,4,0)(1,7,2,0)(4,1)(1,0)1 [4, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1] Type 202
203(0,4,4,0)(1,7,2,0)(4,2)(2,0)1 [4, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1] Type 203
204(0,4,4,0)(1,8,1,0)(3,2)(1,0)1 [3, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2] Type 204
205(0,4,4,0)(1,8,1,0)(3,2)(1,0)1 [3, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2] Type 205
206(0,4,4,0)(1,8,1,0)(3,2)(1,0)1 [3, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1] Type 206
207(0,4,4,0)(1,8,1,0)(3,2)(1,0)1 [3, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1] Type 207
208(0,4,4,0)(1,8,1,0)(4,2)(1,0)1 [4, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1] Type 208
209(0,4,4,0)(1,8,1,0)(4,2)(1,0)1 [4, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1] Type 209
210(0,4,4,0)(1,8,1,0)(4,2)(1,0)2 [4, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2] Type 210
211(0,4,4,0)(1,8,1,0)(4,2)(1,0)2 [4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2] Type 211
212(0,4,4,0)(1,8,1,0)(4,2)(2,0)1 [4, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1] Type 212
213(0,4,4,0)(1,9,0,0)(4,3)(1,0)1 [4, 3, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 1] Type 213
214(0,4,4,0)(2,5,3,0)(3,1)(2,0)1 [3, 1, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2] Type 214
215(0,4,4,0)(2,5,3,0)(3,1)(2,0)1 [3, 1, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2] Type 215
216(0,4,4,0)(2,5,3,0)(3,1)(4,0)1 [3, 1, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2] Type 216
217(0,4,4,0)(2,5,3,0)(3,2)(3,0)1 [3, 2, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2] Type 217
218(0,4,4,0)(2,5,3,0)(3,2)(3,0)1 [3, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 1] Type 218
219(0,4,4,0)(2,6,2,0)(3,2)(3,0)1 [3, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 2] Type 219
220(0,4,4,0)(2,6,2,0)(3,2)(3,0)1 [3, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 1] Type 220
221(0,6,0,2)(0,10,0,0)(4,2)(0,0)2 [4, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2] Type 221
222(0,6,0,2)(0,10,0,0)(4,3)(0,0)4 [4, 3, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2] Type 222
223(0,6,0,2)(0,8,2,0)(4,2)(0,0)4 [4, 2, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2] Type 223
224(0,6,0,2)(1,7,2,0)(4,2)(2,0)1 [4, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2] Type 224
225(0,6,0,2)(2,4,4,0)(4,2)(4,0)4 [4, 2, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 2] Type 225
226(0,6,0,2)(2,6,2,0)(4,2)(4,0)4 [4, 2, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3] Type 226
227(1,3,3,1)(0,8,2,0)(4,1)(1,0)1 [4, 1, 1, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1] Type 227
228(1,3,3,1)(0,9,1,0)(4,1)(1,0)1 [4, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2] Type 228
229(1,3,3,1)(1,7,2,0)(3,1)(2,0)1 [3, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 3] Type 229
230(1,3,3,1)(1,7,2,0)(3,1)(2,0)1 [3, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 3] Type 230
231(1,3,3,1)(1,7,2,0)(4,1)(3,0)1 [4, 1, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2] Type 231
232(1,3,3,1)(1,7,2,0)(4,2)(2,0)1 [4, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2] Type 232
233(1,3,3,1)(1,7,2,0)(4,2)(2,0)1 [4, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 1] Type 233
234(1,3,3,1)(1,8,1,0)(4,2)(2,0)1 [4, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1] Type 234
235(1,3,3,1)(2,4,4,0)(4,1)(4,0)1 [4, 1, 1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1] Type 235
236(1,3,3,1)(2,4,4,0)(4,2)(4,0)2 [4, 2, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 1] Type 236
237(1,3,3,1)(2,5,3,0)(3,1)(4,0)1 [3, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 3] Type 237
238(1,3,3,1)(2,6,2,0)(4,2)(4,0)2 [4, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2] Type 238
239(1,4,1,2)(0,9,1,0)(4,1)(1,1)1 [4, 1, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2] Type 239
240(2,0,6,0)(2,4,4,0)(4,2)(4,0)4 [4, 2, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 0] Type 240
241(2,1,4,1)(0,8,2,0)(4,1)(2,0)2 [4, 1, 1, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1] Type 241
242(2,1,4,1)(2,6,2,0)(4,2)(4,0)4 [4, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 1] Type 242
243(2,2,2,2)(1,7,2,0)(4,1)(3,0)1 [4, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 3] Type 243
244(2,2,2,2)(2,4,4,0)(4,0)(6,0)4 [4, 0, 1, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2] Type 244
245(2,2,2,2)(2,4,4,0)(4,1)(4,0)2 [4, 1, 0, 0, 0, 1, 2, 0, 0, 0, 0, 0, 2] Type 245
246(4,0,0,4)(2,4,4,0)(4,0)(6,0)8 [4, 0, 0, 0, 1, 1, 4, 0, 0, 0, 0, 0, 4] Type 246
247(0,3,6,0)(0,9,0,0)(3,2)(0,0)2 [3, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3] Type 247
248(0,3,6,0)(0,9,0,0)(3,3)(0,0)6 [3, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3] Type 248
249(0,3,6,0)(1,7,1,0)(3,1)(1,0)1 [3, 1, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2] Type 249
250(0,3,6,0)(1,7,1,0)(3,2)(2,0)1 [3, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1] Type 250
251(0,3,6,0)(2,6,1,0)(2,2)(2,0)1 [2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2] Type 251
252(0,3,6,0)(2,6,1,0)(2,2)(2,0)1 [2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2] Type 252
253(0,3,6,0)(2,6,1,0)(2,2)(2,0)1 [2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2] Type 253
254(0,3,6,0)(2,6,1,0)(3,2)(2,0)1 [3, 2, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2] Type 254
255(0,3,6,0)(2,6,1,0)(3,2)(2,0)1 [3, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2] Type 255
256(0,3,6,0)(2,6,1,0)(3,2)(2,0)1 [3, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2] Type 256
257(0,3,6,0)(2,7,0,0)(3,3)(2,0)1 [3, 3, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 1] Type 257
258(0,3,6,0)(2,7,0,0)(3,3)(2,0)2 [3, 3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 2] Type 258
259(0,3,6,0)(3,4,2,0)(2,2)(4,0)2 [2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 1, 2] Type 259
260(0,3,6,0)(3,4,2,0)(2,2)(4,0)2 [2, 2, 1, 0, 0, 0, 0, 0, 0, 0, 1, 1, 2] Type 260
261(0,3,6,0)(3,4,2,0)(2,2)(4,0)2 [2, 2, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 2] Type 261
262(0,4,4,1)(0,9,0,0)(3,1)(0,0)2 [3, 1, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 3] Type 262
263(0,4,4,1)(1,7,1,0)(3,1)(1,0)1 [3, 1, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 1] Type 263
264(0,4,4,1)(1,7,1,0)(3,2)(1,0)1 [3, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2] Type 264
265(0,4,4,1)(1,8,0,0)(3,2)(1,0)1 [3, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 2] Type 265
266(0,4,4,1)(1,8,0,0)(3,2)(1,0)1 [3, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2] Type 266
267(0,4,4,1)(1,8,0,0)(3,3)(1,0)1 [3, 3, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2] Type 267
268(0,4,4,1)(2,5,2,0)(3,1)(2,0)1 [3, 1, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1] Type 268
269(0,4,4,1)(2,5,2,0)(3,2)(3,0)1 [3, 2, 0, 0, 0, 1, 1, 0, 0, 0, 1, 0, 1] Type 269
270(0,4,4,1)(2,6,1,0)(2,2)(2,0)1 [2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 3] Type 270
271(0,4,4,1)(2,6,1,0)(3,2)(2,0)1 [3, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2] Type 271
272(0,4,4,1)(2,6,1,0)(3,2)(3,0)1 [3, 2, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2] Type 272
273(0,4,4,1)(2,7,0,0)(3,3)(2,0)2 [3, 3, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 1] Type 273
274(0,4,4,1)(3,4,2,0)(2,2)(4,0)2 [2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 1, 3] Type 274
275(0,5,2,2)(1,7,1,0)(3,2)(1,0)1 [3, 2, 1, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2] Type 275
276(0,5,2,2)(1,8,0,0)(3,2)(1,0)1 [3, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 3] Type 276
277(0,5,2,2)(1,8,0,0)(3,2)(1,0)1 [3, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2] Type 277
278(0,5,2,2)(1,8,0,0)(3,3)(1,0)1 [3, 3, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 2] Type 278
279(0,5,2,2)(2,5,2,0)(3,1)(2,0)2 [3, 1, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2] Type 279
280(0,5,2,2)(2,5,2,0)(3,2)(3,0)1 [3, 2, 1, 0, 0, 1, 1, 0, 0, 0, 1, 0, 2] Type 280
281(0,5,2,2)(2,6,1,0)(3,2)(3,0)1 [3, 2, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 3] Type 281
282(0,6,0,3)(0,9,0,0)(3,1)(0,1)6 [3, 1, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3] Type 282
283(1,2,5,1)(1,7,1,0)(3,1)(2,0)1 [3, 1, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2] Type 283
284(1,2,5,1)(2,5,2,0)(3,2)(3,0)1 [3, 2, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 1] Type 284
285(1,3,3,2)(1,7,1,0)(3,1)(2,0)1 [3, 1, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 3] Type 285
286(1,3,3,2)(1,7,1,0)(3,2)(2,0)1 [3, 2, 1, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1] Type 286
287(1,3,3,2)(2,5,2,0)(3,1)(4,0)1 [3, 1, 1, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2] Type 287
288(1,3,3,2)(2,5,2,0)(3,2)(3,0)1 [3, 2, 0, 0, 0, 1, 2, 0, 0, 0, 1, 0, 2] Type 288
289(1,3,3,2)(2,6,1,0)(3,2)(3,0)1 [3, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 3] Type 289
290(1,3,3,2)(2,6,1,0)(3,2)(3,0)1 [3, 2, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2] Type 290
291(2,3,0,4)(2,5,2,0)(3,1)(4,0)2 [3, 1, 0, 0, 1, 1, 4, 0, 0, 0, 1, 0, 4] Type 291
292(0,2,8,0)(2,6,0,0)(2,2)(2,0)1 [2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2] Type 292
293(0,2,8,0)(2,6,0,0)(2,3)(2,0)2 [2, 3, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 3] Type 293
294(0,2,8,0)(3,4,1,0)(2,2)(3,0)2 [2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2] Type 294
295(0,2,8,0)(3,4,1,0)(2,2)(4,0)2 [2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 1] Type 295
296(0,3,6,1)(2,6,0,0)(2,2)(2,0)1 [2, 2, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 3] Type 296
297(0,3,6,1)(2,6,0,0)(2,3)(2,0)1 [2, 3, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 2] Type 297
298(0,3,6,1)(3,4,1,0)(2,2)(3,0)1 [2, 2, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2] Type 298
299(0,3,6,1)(3,4,1,0)(2,2)(4,0)2 [2, 2, 0, 0, 0, 1, 1, 0, 0, 0, 2, 0, 1] Type 299
300(0,3,6,1)(3,4,1,0)(2,2)(4,0)2 [2, 2, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2] Type 300
301(0,3,6,1)(3,5,0,0)(2,3)(3,0)1 [2, 3, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, 2] Type 301
302(0,4,4,2)(2,6,0,0)(2,2)(2,0)1 [2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 3] Type 302
303(0,4,4,2)(2,6,0,0)(2,2)(2,0)1 [2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 3] Type 303
304(0,4,4,2)(2,6,0,0)(2,2)(2,0)1 [2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2] Type 304
305(0,4,4,2)(2,6,0,0)(2,2)(2,0)2 [2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2] Type 305
306(0,4,4,2)(2,6,0,0)(2,2)(2,0)2 [2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 3] Type 306
307(0,4,4,2)(2,6,0,0)(2,3)(2,0)2 [2, 3, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2] Type 307
308(0,4,4,2)(2,6,0,0)(2,3)(2,0)2 [2, 3, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2] Type 308
309(0,4,4,2)(3,4,1,0)(2,2)(3,0)1 [2, 2, 0, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2] Type 309
310(0,4,4,2)(3,4,1,0)(2,2)(3,0)2 [2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2] Type 310
311(0,4,4,2)(3,4,1,0)(2,2)(3,0)2 [2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 2] Type 311
312(0,4,4,2)(3,4,1,0)(2,2)(3,0)2 [2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 2, 0, 2] Type 312
313(0,4,4,2)(3,5,0,0)(2,3)(3,0)1 [2, 3, 0, 0, 1, 0, 1, 0, 0, 0, 1, 0, 3] Type 313
314(0,4,4,2)(3,5,0,0)(2,3)(3,0)1 [2, 3, 0, 0, 2, 0, 0, 0, 0, 0, 2, 0, 2] Type 314
315(0,4,4,2)(3,5,0,0)(2,3)(3,0)1 [2, 3, 1, 0, 0, 0, 1, 0, 0, 0, 1, 0, 3] Type 315
316(0,5,2,3)(2,6,0,0)(2,2)(2,0)2 [2, 2, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3] Type 316
317(0,5,2,3)(2,6,0,0)(2,3)(2,0)2 [2, 3, 1, 0, 1, 0, 2, 0, 0, 0, 2, 1, 2] Type 317
318(0,5,2,3)(3,4,1,0)(2,2)(4,0)2 [2, 2, 1, 0, 0, 1, 2, 0, 0, 0, 2, 0, 3] Type 318
319(0,6,0,4)(2,6,0,0)(2,2)(2,0)4 [2, 2, 0, 0, 1, 1, 4, 0, 0, 0, 2, 0, 4] Type 319
320(1,2,5,2)(3,4,1,0)(2,2)(4,0)2 [2, 2, 1, 0, 0, 1, 3, 0, 0, 0, 2, 0, 2] Type 320
321(1,2,5,2)(3,4,1,0)(2,2)(4,0)2 [2, 2, 1, 0, 1, 0, 2, 0, 0, 0, 3, 0, 2] Type 321
322(1,3,3,3)(3,4,1,0)(2,2)(4,0)2 [2, 2, 0, 0, 2, 0, 1, 0, 0, 0, 3, 0, 3] Type 322
323(1,4,1,4)(3,4,1,0)(2,2)(4,0)2 [2, 2, 0, 0, 1, 1, 4, 0, 0, 0, 2, 0, 4] Type 323
324(0,2,8,1)(4,3,0,0)(1,3)(4,0)1 [1, 3, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2] Type 324
325(0,2,8,1)(4,3,0,0)(1,3)(4,0)1 [1, 3, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 2] Type 325
326(0,2,8,1)(4,3,0,0)(1,3)(4,0)2 [1, 3, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 3] Type 326
327(0,3,6,2)(4,3,0,0)(1,3)(4,0)1 [1, 3, 0, 0, 2, 0, 1, 0, 0, 0, 2, 0, 3] Type 327
328(0,3,6,2)(4,3,0,0)(1,3)(4,0)2 [1, 3, 0, 0, 0, 1, 2, 0, 0, 0, 3, 0, 2] Type 328
329(0,4,4,3)(4,3,0,0)(1,3)(4,0)1 [1, 3, 0, 0, 2, 0, 1, 0, 0, 0, 3, 0, 3] Type 329
330(0,4,4,3)(4,3,0,0)(1,3)(4,0)1 [1, 3, 1, 0, 0, 1, 3, 0, 0, 0, 3, 0, 3] Type 330
331(0,4,4,3)(4,3,0,0)(1,3)(4,0)1 [1, 3, 1, 0, 1, 0, 3, 0, 0, 0, 3, 0, 3] Type 331
332(0,4,4,3)(4,3,0,0)(1,3)(4,0)2 [1, 3, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3] Type 332
333(0,5,2,4)(4,3,0,0)(1,3)(4,0)2 [1, 3, 0, 0, 1, 1, 4, 0, 0, 0, 3, 0, 4] Type 333
334(0,2,8,2)(6,0,0,0)(0,4)(6,0)4 [0, 4, 0, 0, 1, 0, 0, 0, 0, 0, 2, 0, 2] Type 334
335(0,3,6,3)(6,0,0,0)(0,4)(6,0)2 [0, 4, 0, 0, 2, 0, 1, 0, 0, 0, 3, 0, 3] Type 335
336(0,3,6,3)(6,0,0,0)(0,4)(6,0)6 [0, 4, 0, 0, 3, 0, 0, 0, 0, 0, 3, 0, 3] Type 336
337(0,4,4,4)(6,0,0,0)(0,4)(6,0)8 [0, 4, 0, 0, 1, 1, 4, 0, 0, 0, 4, 0, 4] Type 337
338(0,4,4,4)(6,0,0,0)(0,4)(6,0)8 [0, 4, 1, 0, 0, 1, 4, 0, 0, 0, 4, 0, 4] Type 338
339(0,4,4,4)(6,0,0,0)(0,4)(6,0)8 [0, 4, 1, 0, 1, 0, 4, 0, 0, 0, 4, 0, 4] Type 339

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The 14 Non-Regular Triangulations
(Section 4)
Type Dimension of the
abstract tight span 		R B S C g More
3402 (0, 12, 3, 0)11Type 340
3412 (0, 12, 3, 0)12Type 341
3422 (0, 12, 3, 0)60Type 342
3432 (1, 10, 4, 0)41Type 343
344 3 (4, 0, 0, 0) (0, 8, 6, 0) (4, 0) (0, 0) 4Type 344
345 3 (0, 4, 4, 0) (0, 8, 2, 0)(4, 0) (0, 0) 4 Type 345
346 3 (0, 4, 4, 0) (2, 4, 4, 0)(4, 0) (4, 0) 2 Type 346
347 3 (0, 4, 4, 0) (2, 4, 4, 0)(4, 0) (2, 0) 4 Type 347
348 3 (0, 4, 4, 0) (2, 4, 4, 0) (4, 0) (2, 0) 4 Type 348
349 3 (0, 4, 4, 0) (2, 4, 4, 0) (4, 0) (6, 0) 8 Type 349
350 3 (0, 3, 6, 0) (2, 5, 2, 0) (3, 0) (2, 0) 2 Type 350
351 3 (0, 3, 6, 0) (2, 5, 2, 0) (3, 0) (4, 0) 2 Type 351
352 3 (0, 2, 8, 0) (2, 6, 0, 0) (2, 2) (2, 0) 4 Type 352
353 3(0, 0, 12, 0)(6, 0, 0, 0)(0, 4)(6,0)24Type 353

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The 14 Prime Metrics on Six Points
(Section 5)
Type #vertices #edges #polygons # 3-cells Picture
P_1 6 9 4 0 Prime P_1
P_2 7 15 9 0 Prime P_2
P_3 6 10 6 1Prime P_3
P_4 10 20 12 1 Prime P_4
P_5 11 20 11 1 Prime P_5
P_6 7 11 5 0 Prime P_6
P_7 11 20 10 0 Prime P_7
P_8 11 19 9 0 Prime P_8
P_9 7 12 7 1 Prime P_9
P_10 5 7 3 0 Prime P_10
P_11 5 7 3 0 Prime P_11

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Some Six-Point Metrics from Graphs
Graph Picture of the tight span
Picture
Picture
Picture

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Last updated by Josephine Yu on March 10, 2004