1
2------------------------------------------------------------
3----------------------     TOPCOM     ----------------------
4Triangulations of Point Configurations and Oriented Matroids
5--------------------- by  Joerg Rambau ---------------------
6------------------------------------------------------------
7
8computing closure of symmetry generators ...
9143 symmetries so far.
10... done.
11143 symmetries in total.
12no valid seed triangulation found
13computing seed triangulation via placing and pushing ...
14Computing symmetries of seed ...
15... done.
161 symmetries in total.
17seed: {{0,1,2,3,4,8},{1,2,3,4,5,8},{2,3,4,5,6,8},{3,4,5,6,7,8},{1,2,3,5,8,9},{2,3,5,6,8,9},{3,5,6,7,8,9},{2,3,6,8,9,10},{3,6,7,8,9,10},{3,7,8,9,10,11}}
18using the following 12 vertices: {0,1,2,3,4,5,6,7,8,9,10,11}
19... done.
20count all symmetry classes of triangulations ...
21T[1]:={{0,1,2,3,4,8},{1,2,3,4,5,8},{2,3,4,5,6,8},{3,4,5,6,7,8},{1,2,3,5,8,9},{2,3,5,6,8,9},{3,5,6,7,8,9},{2,3,6,8,9,10},{3,6,7,8,9,10},{3,7,8,9,10,11}};
22T[2]:={{0,1,2,3,4,8},{2,3,6,8,9,10},{3,6,7,8,9,10},{3,7,8,9,10,11},{3,4,5,6,7,9},{1,2,3,4,5,9},{1,2,3,4,8,9},{2,3,4,5,6,9},{2,3,4,6,8,9},{3,4,6,7,8,9}};
23T[3]:={{0,1,2,3,4,8},{1,2,3,4,5,8},{2,3,4,5,6,8},{3,4,5,6,7,8},{1,2,3,5,8,9},{3,7,8,9,10,11},{3,5,6,7,8,10},{3,5,7,8,9,10},{2,3,5,8,9,10},{2,3,5,6,8,10}};
24T[4]:={{0,1,2,3,4,8},{1,2,3,4,5,8},{2,3,4,5,6,8},{3,4,5,6,7,8},{1,2,3,5,8,9},{2,3,5,6,8,9},{3,5,6,7,8,9},{2,3,6,8,9,10},{3,6,8,9,10,11},{3,6,7,8,9,11}};
253 new symmetry classes.
26T[5]:={{0,1,2,3,4,8},{2,3,6,8,9,10},{3,4,5,6,7,9},{1,2,3,4,5,9},{1,2,3,4,8,9},{2,3,4,5,6,9},{2,3,4,6,8,9},{3,4,6,7,8,9},{3,6,8,9,10,11},{3,6,7,8,9,11}};
27T[6]:={{0,1,2,3,4,8},{1,2,3,4,5,8},{2,3,4,5,6,8},{3,4,5,6,7,8},{1,2,3,5,8,9},{2,3,5,6,8,9},{2,3,6,8,9,10},{3,6,8,9,10,11},{3,5,6,7,8,11},{3,5,6,8,9,11}};
28T[7]:={{0,1,2,3,4,8},{3,4,5,6,7,8},{3,5,6,7,8,9},{2,3,6,8,9,10},{1,2,3,4,6,8},{1,3,4,5,6,8},{3,6,8,9,10,11},{3,6,7,8,9,11},{1,2,3,6,8,9},{1,3,5,6,8,9}};
29T[8]:={{2,3,4,5,6,8},{3,4,5,6,7,8},{1,2,3,5,8,9},{2,3,5,6,8,9},{3,5,6,7,8,9},{2,3,6,8,9,10},{0,2,3,4,5,8},{3,6,8,9,10,11},{3,6,7,8,9,11},{0,1,2,3,5,8}};
30T[9]:={{0,1,2,3,4,8},{3,7,8,9,10,11},{3,4,7,8,9,10},{3,4,6,7,9,10},{3,4,5,6,7,9},{1,2,3,4,5,9},{1,2,3,4,8,9},{2,3,4,5,6,9},{2,3,4,8,9,10},{2,3,4,6,9,10}};
31T[10]:={{0,1,2,3,4,8},{3,7,8,9,10,11},{2,6,7,8,9,10},{2,3,7,8,9,10},{1,2,3,4,5,9},{1,2,3,4,8,9},{2,4,5,6,7,9},{2,3,4,5,7,9},{2,3,4,7,8,9},{2,4,6,7,8,9}};
32T[11]:={{0,1,2,3,4,8},{2,3,6,8,9,10},{3,6,7,8,9,10},{3,7,8,9,10,11},{3,4,5,6,7,9},{1,2,3,4,8,9},{2,3,4,6,8,9},{3,4,6,7,8,9},{1,3,4,5,6,9},{1,2,3,4,6,9}};
33T[12]:={{0,1,2,3,4,8},{1,2,3,4,5,8},{1,2,3,5,8,9},{3,7,8,9,10,11},{3,5,7,8,9,10},{3,4,5,6,7,10},{2,3,4,5,6,10},{2,3,4,5,8,10},{2,3,5,8,9,10},{3,4,5,7,8,10}};
34T[13]:={{0,1,2,3,4,8},{1,2,3,4,5,8},{2,3,4,5,6,8},{3,4,5,6,7,8},{1,2,3,5,8,9},{3,5,7,8,10,11},{3,5,6,7,8,10},{3,5,8,9,10,11},{2,3,5,8,9,10},{2,3,5,6,8,10}};
35T[14]:={{0,1,2,3,4,8},{1,2,3,4,5,8},{1,2,3,5,8,9},{3,7,8,9,10,11},{3,5,7,8,9,10},{2,4,5,6,7,8},{2,3,4,5,7,8},{2,3,5,8,9,10},{2,5,6,7,8,10},{2,3,5,7,8,10}};
3610 new symmetry classes.
37T[15]:={{0,1,2,3,4,8},{1,2,3,4,5,8},{1,2,3,5,8,9},{3,5,7,8,10,11},{3,4,5,6,7,10},{3,5,8,9,10,11},{2,3,4,5,6,10},{2,3,4,5,8,10},{2,3,5,8,9,10},{3,4,5,7,8,10}};
38T[16]:={{0,1,2,3,4,8},{1,2,3,4,5,8},{2,3,4,5,6,8},{3,4,5,6,7,8},{1,2,3,5,8,9},{3,5,8,9,10,11},{3,5,6,8,10,11},{2,3,5,8,9,10},{3,5,6,7,8,11},{2,3,5,6,8,10}};
39T[17]:={{0,1,2,3,4,8},{1,2,3,4,5,8},{1,2,3,5,8,9},{3,5,7,8,10,11},{3,5,8,9,10,11},{2,4,5,6,7,8},{2,3,4,5,7,8},{2,3,5,8,9,10},{2,5,6,7,8,10},{2,3,5,7,8,10}};
40T[18]:={{2,3,4,5,6,8},{3,4,5,6,7,8},{1,2,3,5,8,9},{3,5,7,8,10,11},{3,5,6,7,8,10},{0,2,3,4,5,8},{3,5,8,9,10,11},{2,3,5,8,9,10},{0,1,2,3,5,8},{2,3,5,6,8,10}};
41T[19]:={{2,3,4,5,6,8},{3,4,5,6,7,8},{1,2,3,5,8,9},{2,3,5,6,8,9},{2,3,6,8,9,10},{0,2,3,4,5,8},{3,6,8,9,10,11},{3,5,6,7,8,11},{3,5,6,8,9,11},{0,1,2,3,5,8}};
42T[20]:={{0,1,2,3,4,8},{3,7,8,9,10,11},{3,4,7,8,9,10},{1,2,3,4,5,9},{1,2,3,4,8,9},{3,4,5,7,9,10},{3,4,5,6,7,10},{2,3,4,5,6,10},{2,3,4,5,9,10},{2,3,4,8,9,10}};
43T[21]:={{0,1,2,3,4,8},{1,2,3,4,5,8},{1,2,3,5,8,9},{3,7,8,9,10,11},{2,3,4,5,7,10},{2,4,5,6,7,10},{3,5,7,8,9,10},{2,3,4,5,8,10},{2,3,5,8,9,10},{3,4,5,7,8,10}};
44T[22]:={{1,2,3,5,8,9},{3,7,8,9,10,11},{3,5,7,8,9,10},{3,4,5,6,7,10},{0,2,3,4,5,8},{2,3,4,5,6,10},{2,3,4,5,8,10},{2,3,5,8,9,10},{0,1,2,3,5,8},{3,4,5,7,8,10}};
45T[23]:={{0,1,2,3,4,8},{3,7,8,9,10,11},{2,3,7,8,9,10},{2,4,6,7,9,10},{1,2,3,4,5,9},{1,2,3,4,8,9},{2,4,5,6,7,9},{2,4,7,8,9,10},{2,3,4,5,7,9},{2,3,4,7,8,9}};
46T[24]:={{0,1,2,3,4,8},{2,3,6,8,9,10},{3,4,5,6,7,9},{3,4,6,7,8,9},{1,2,3,4,6,8},{3,6,8,9,10,11},{1,3,4,5,6,9},{1,3,4,6,8,9},{3,6,7,8,9,11},{1,2,3,6,8,9}};
47T[25]:={{0,1,2,3,4,8},{3,4,5,6,7,8},{2,3,6,8,9,10},{1,2,3,4,6,8},{1,3,4,5,6,8},{3,6,8,9,10,11},{3,5,6,7,8,11},{3,5,6,8,9,11},{1,2,3,6,8,9},{1,3,5,6,8,9}};
48T[26]:={{0,1,2,3,4,8},{2,3,6,8,9,10},{3,4,5,6,7,9},{1,2,3,4,8,9},{2,3,4,6,8,9},{3,4,6,7,8,9},{3,6,8,9,10,11},{1,3,4,5,6,9},{3,6,7,8,9,11},{1,2,3,4,6,9}};
49T[27]:={{0,1,2,3,4,8},{1,2,3,4,5,8},{1,2,3,5,8,9},{3,7,8,9,10,11},{2,4,5,6,7,10},{3,5,7,8,9,10},{2,4,5,7,8,10},{2,3,4,5,7,8},{2,3,5,8,9,10},{2,3,5,7,8,10}};
50T[28]:={{0,1,2,3,4,8},{3,7,8,9,10,11},{3,4,7,8,9,10},{3,4,6,7,9,10},{3,4,5,6,7,9},{1,2,3,4,8,9},{1,3,4,5,6,9},{2,3,4,8,9,10},{1,2,3,4,6,9},{2,3,4,6,9,10}};
51T[29]:={{0,1,2,3,4,8},{2,3,6,8,9,10},{3,6,7,8,9,10},{3,7,8,9,10,11},{1,4,5,6,7,9},{1,2,3,4,8,9},{2,3,4,6,8,9},{3,4,6,7,8,9},{1,3,4,6,7,9},{1,2,3,4,6,9}};
52T[30]:={{0,1,2,3,4,8},{3,7,8,9,10,11},{2,4,6,7,9,10},{2,3,4,7,9,10},{3,4,7,8,9,10},{1,2,3,4,5,9},{1,2,3,4,8,9},{2,4,5,6,7,9},{2,3,4,8,9,10},{2,3,4,5,7,9}};
5316 new symmetry classes.
54T[31]:={{0,1,2,3,4,8},{3,7,8,9,10,11},{1,4,5,6,7,9},{3,4,7,8,9,10},{3,4,6,7,9,10},{1,2,3,4,8,9},{2,3,4,8,9,10},{1,3,4,6,7,9},{1,2,3,4,6,9},{2,3,4,6,9,10}};
55T[32]:={{0,1,2,3,4,8},{2,3,6,8,9,10},{1,4,5,6,7,9},{3,4,6,7,8,9},{1,2,3,4,6,8},{3,6,8,9,10,11},{1,3,4,6,8,9},{3,6,7,8,9,11},{1,3,4,6,7,9},{1,2,3,6,8,9}};
56T[33]:={{2,3,6,8,9,10},{3,4,5,6,7,9},{3,4,6,7,8,9},{3,6,8,9,10,11},{1,3,4,5,6,9},{1,3,4,6,8,9},{0,1,3,4,6,8},{3,6,7,8,9,11},{0,1,2,3,6,8},{1,2,3,6,8,9}};
57T[34]:={{3,4,5,6,7,8},{2,3,6,8,9,10},{1,3,4,5,6,8},{3,6,8,9,10,11},{0,1,3,4,6,8},{0,1,2,3,6,8},{3,5,6,7,8,11},{3,5,6,8,9,11},{1,2,3,6,8,9},{1,3,5,6,8,9}};
58T[35]:={{0,1,2,3,4,8},{3,7,8,9,10,11},{1,2,3,4,7,9},{2,4,6,7,9,10},{2,3,4,7,9,10},{3,4,7,8,9,10},{1,2,3,4,8,9},{2,4,5,6,7,9},{1,2,4,5,7,9},{2,3,4,8,9,10}};
595 new symmetry classes.
600 new symmetry classes.
6135 symmetry classes.
624488 triangulations in total.
6335 symmetry classes of triangulations in total.
64... done.
65