Algebra 1
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 1 1 1 1 1 1 1)
(0 1 1 1 1 1 1 1)
(0 0 1 1 1 1 1 1)
(0 0 0 1 1 1 1 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 2 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 8 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 9 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 2
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 1 1 1 1)
(0 0 1 1 1 1 1 1)
(0 0 0 1 1 1 1 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 1 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 10 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 15 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 16 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 8
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 7, 6 ]
Relations
None
Cartan matrix
(1 1 1 1 1 1 0 1)
(0 1 1 1 1 1 0 1)
(0 0 1 1 1 1 0 1)
(0 0 0 1 1 1 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 15 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 42 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 1 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 43 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 9
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 1 1 1 1 1 0)
(0 1 1 1 1 1 1 0)
(0 0 1 1 1 1 1 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 1 1 1 1 1 1)
Good mutations
vertex 1 -> Algebra 16 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 43 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 1 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 10
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 1 1 1 1)
(0 0 0 1 1 1 1 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 17 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 2 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 45 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 49 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 50 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 15
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 7, 6 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 1 1 0 1)
(0 0 1 1 1 1 0 1)
(0 0 0 1 1 1 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 8 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 49 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 69 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 2 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 70 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 16
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 1 1 1 0)
(0 0 1 1 1 1 1 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 1 1 1 1 1 1)
Good mutations
vertex 1 -> Algebra 9 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 50 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 70 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 2 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 17
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 1 1 1 1)
(0 0 0 1 1 1 1 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 10 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 72 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 76 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 77 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 40
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 6, 7 ], [ 7, 5 ]
Relations
None
Cartan matrix
(1 1 1 1 1 0 0 1)
(0 1 1 1 1 0 0 1)
(0 0 1 1 1 0 0 1)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 1 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 67 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 148 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 42 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 149 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 42
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 6, 5 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 1 1 1 1 0 0 1)
(0 1 1 1 1 0 0 1)
(0 0 1 1 1 0 0 1)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 69 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 151 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 8 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 40 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 152 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 43
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 4, 5 ], [ 5, 6 ], [ 7, 6 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 1 1 1 1 0 0)
(0 1 1 1 1 1 0 0)
(0 0 1 1 1 1 0 0)
(0 0 0 1 1 1 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 1 1 1 1 0 1)
Good mutations
vertex 1 -> Algebra 70 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 152 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 9 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 8 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 45
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 3 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(0 0 1 1 1 1 1 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 72 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 10 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 156 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 159 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 160 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 49
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 7, 6 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 1 1 0 1)
(0 0 0 1 1 1 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 76 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 15 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 159 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 173 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 10 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 174 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 50
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 1 1 1 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 1 1 1 1 1 1 1)
Good mutations
vertex 1 -> Algebra 77 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 16 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 174 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 10 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 67
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 6, 7 ], [ 7, 5 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 1 0 0 1)
(0 0 1 1 1 0 0 1)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 1 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 40 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 171 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 224 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 69 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 225 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 69
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 6, 5 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 1 0 0 1)
(0 0 1 1 1 0 0 1)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 42 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 173 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 227 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 15 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 67 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 228 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 70
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 4, 5 ], [ 5, 6 ], [ 7, 6 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 1 1 0 0)
(0 0 1 1 1 1 0 0)
(0 0 0 1 1 1 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 1 1 1 1 0 1)
Good mutations
vertex 1 -> Algebra 43 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 174 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 228 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 16 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 15 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 72
Quiver
[ 1, 2 ], [ 1, 3 ], [ 4, 3 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(0 0 1 1 1 1 1 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 78 permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 45 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 17 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 232 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 235 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 236 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 76
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 7, 6 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 1 1 0 1)
(0 0 0 1 1 1 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 49 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 235 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 249 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 17 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 250 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 77
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 1 1 1 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(1 1 1 1 1 1 1 1)
Good mutations
vertex 2 -> Algebra 50 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 250 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 17 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 78
Quiver
[ 1, 3 ], [ 2, 3 ], [ 4, 1 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ], [ 8, 1 ]
Relations
None
Cartan matrix
(1 0 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(1 0 1 1 1 1 1 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(1 0 1 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 99 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 72 permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 252 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 255 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 256 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 99
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 1 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ], [ 8, 1 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(1 1 1 1 1 1 1 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(1 1 1 0 0 0 0 1)
Good mutations
vertex 3 -> Algebra 78 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 308 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 311 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 312 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 140
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 5, 6 ], [ 6, 7 ], [ 7, 4 ]
Relations
None
Cartan matrix
(1 1 1 1 0 0 0 1)
(0 1 1 1 0 0 0 1)
(0 0 1 1 0 0 0 1)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 1 0 1 1 0)
(0 0 0 1 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 216 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 414 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 146 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 415 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 146
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 5, 6 ], [ 5, 7 ], [ 7, 4 ]
Relations
None
Cartan matrix
(1 1 1 1 0 0 0 1)
(0 1 1 1 0 0 0 1)
(0 0 1 1 0 0 0 1)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 1 0 0)
(0 0 0 1 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 222 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 424 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 148 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 6 -> Algebra 140 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 425 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 148
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 5, 4 ], [ 5, 7 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 1 1 1 0 0 0 1)
(0 1 1 1 0 0 0 1)
(0 0 1 1 0 0 0 1)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 0 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 224 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 427 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 40 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 151 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 7 -> Algebra 146 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 8 -> Algebra 428 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 149
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 4, 5 ], [ 6, 7 ], [ 7, 5 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 1 1 1 0 0 0)
(0 1 1 1 1 0 0 0)
(0 0 1 1 1 0 0 0)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 1 0 1 0)
(0 0 1 1 1 0 0 1)
Good mutations
vertex 1 -> Algebra 225 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 428 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 152 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 40 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 151
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 5, 4 ], [ 5, 6 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 1 1 1 0 0 0 1)
(0 1 1 1 0 0 0 1)
(0 0 1 1 0 0 0 1)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 227 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 160 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 42 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 148 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 156 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 152
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 4, 5 ], [ 6, 5 ], [ 6, 7 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 1 1 1 0 0 0)
(0 1 1 1 1 0 0 0)
(0 0 1 1 1 0 0 0)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 1 1 1 0 0 1)
Good mutations
vertex 1 -> Algebra 228 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 156 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 43 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 149 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 42 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 156
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 5, 4 ], [ 5, 6 ], [ 6, 7 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 1 1 0 0 0 0)
(0 1 1 1 0 0 0 0)
(0 0 1 1 0 0 0 0)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 1 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 232 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 45 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 152 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 428 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 151 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 159
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 3 ], [ 4, 5 ], [ 5, 6 ], [ 7, 6 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(0 0 1 1 1 1 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 235 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 49 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 428 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 6 -> Algebra 443 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 45 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 427 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
Algebra 160
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 1)
(0 1 1 0 0 0 0 1)
(0 0 1 0 0 0 0 1)
(0 0 1 1 1 1 1 1)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 236 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 151 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 427 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 45 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 171
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 6, 7 ], [ 7, 5 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 1 0 0 1)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 1 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 247 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 67 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 442 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 470 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 173 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 471 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 173
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 6, 5 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 1 0 0 1)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 249 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 69 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 443 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 473 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 49 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 171 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 474 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 174
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 4, 5 ], [ 5, 6 ], [ 7, 6 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 1 1 0 0)
(0 0 0 1 1 1 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 0 1 1 0)
(0 1 1 1 1 1 0 1)
Good mutations
vertex 1 -> Algebra 250 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 70 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 474 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 50 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 49 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 216
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 5, 6 ], [ 6, 7 ], [ 7, 4 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 0 0 0 1)
(0 0 1 1 0 0 0 1)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 1 0 1 1 0)
(0 0 0 1 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 140 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 462 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 571 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 222 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 572 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 222
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 5, 6 ], [ 5, 7 ], [ 7, 4 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 0 0 0 1)
(0 0 1 1 0 0 0 1)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 1 0 0)
(0 0 0 1 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 146 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 468 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 581 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 224 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 6 -> Algebra 216 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 582 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 224
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 5, 4 ], [ 5, 7 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 0 0 0 1)
(0 0 1 1 0 0 0 1)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 0 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 148 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 470 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 584 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 67 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 227 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 7 -> Algebra 222 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 8 -> Algebra 585 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 225
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 4, 5 ], [ 6, 7 ], [ 7, 5 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 1 0 0 0)
(0 0 1 1 1 0 0 0)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 1 0 1 0)
(0 0 1 1 1 0 0 1)
Good mutations
vertex 1 -> Algebra 149 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 471 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 585 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 228 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 67 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 227
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 5, 4 ], [ 5, 6 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 0 0 0 1)
(0 0 1 1 0 0 0 1)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 151 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 473 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 236 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 69 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 224 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 232 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
Algebra 228
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 4, 5 ], [ 6, 5 ], [ 6, 7 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 1 0 0 0)
(0 0 1 1 1 0 0 0)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 1 1 1 0 0 1)
Good mutations
vertex 1 -> Algebra 152 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 474 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 232 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 70 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 225 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 69 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 232
Quiver
[ 1, 2 ], [ 1, 3 ], [ 3, 4 ], [ 5, 4 ], [ 5, 6 ], [ 6, 7 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 1 1 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 0 1 1 0 0 0 0)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 1 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 252 permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 156 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 72 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 228 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 585 permutation [ 2, 1, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 227 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
Algebra 235
Quiver
[ 1, 2 ], [ 1, 3 ], [ 4, 3 ], [ 4, 5 ], [ 5, 6 ], [ 7, 6 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(0 0 1 1 1 1 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 255 permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 159 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 76 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 585 permutation [ 2, 1, 3, 4, 5, 7, 6, 8 ]
vertex 6 -> Algebra 599 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 72 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 584 permutation [ 2, 1, 3, 4, 5, 7, 6, 8 ]
Algebra 236
Quiver
[ 1, 2 ], [ 1, 3 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 1)
(0 1 0 0 0 0 0 0)
(0 0 1 0 0 0 0 1)
(0 0 1 1 1 1 1 1)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 256 permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 160 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 227 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 584 permutation [ 2, 1, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 72 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 247
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 6, 7 ], [ 7, 5 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 1 0 0 1)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 1 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 171 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 598 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 626 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 249 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 627 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 249
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 6, 5 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 1 0 0 1)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 173 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 599 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 629 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 76 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 247 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 630 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 250
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 4, 5 ], [ 5, 6 ], [ 7, 6 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 1 1 0 0)
(0 0 0 1 1 1 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 0 1 1 0)
(1 1 1 1 1 1 0 1)
Good mutations
vertex 2 -> Algebra 174 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 630 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 77 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 76 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 252
Quiver
[ 1, 3 ], [ 1, 4 ], [ 2, 3 ], [ 5, 4 ], [ 5, 6 ], [ 6, 7 ], [ 8, 1 ]
Relations
None
Cartan matrix
(1 0 1 1 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(1 0 1 1 0 0 0 1)
Good mutations
vertex 2 -> Algebra 308 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 232 permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 78 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 474 permutation [ 2, 3, 1, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 634 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 473 permutation [ 2, 3, 1, 4, 5, 6, 7, 8 ]
Algebra 255
Quiver
[ 1, 3 ], [ 2, 3 ], [ 4, 1 ], [ 4, 5 ], [ 5, 6 ], [ 7, 6 ], [ 8, 1 ]
Relations
None
Cartan matrix
(1 0 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(1 0 1 1 1 1 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 0 1 1 0)
(1 0 1 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 311 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 235 permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 634 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 642 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 78 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 643 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 256
Quiver
[ 1, 3 ], [ 1, 8 ], [ 2, 3 ], [ 4, 1 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 0 1 0 0 0 0 1)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(1 0 1 1 1 1 1 1)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 312 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 236 permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 473 permutation [ 2, 3, 1, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 643 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 78 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 308
Quiver
[ 1, 2 ], [ 1, 4 ], [ 2, 3 ], [ 5, 4 ], [ 5, 6 ], [ 6, 7 ], [ 8, 1 ]
Relations
None
Cartan matrix
(1 1 1 1 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(1 1 1 1 0 0 0 1)
Good mutations
vertex 3 -> Algebra 252 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 99 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 630 permutation [ 2, 3, 1, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 740 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 629 permutation [ 2, 3, 1, 4, 5, 6, 7, 8 ]
Algebra 311
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 1 ], [ 4, 5 ], [ 5, 6 ], [ 7, 6 ], [ 8, 1 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(1 1 1 1 1 1 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 0 1 1 0)
(1 1 1 0 0 0 0 1)
Good mutations
vertex 3 -> Algebra 255 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 740 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 748 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 99 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 749 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 312
Quiver
[ 1, 2 ], [ 1, 8 ], [ 2, 3 ], [ 4, 1 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 1)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(1 1 1 1 1 1 1 1)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 3 -> Algebra 256 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 629 permutation [ 2, 3, 1, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 749 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 99 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 385
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ], [ 7, 3 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 1)
(0 1 1 0 0 0 0 1)
(0 0 1 0 0 0 0 1)
(0 0 1 1 1 1 1 1)
(0 0 1 0 1 1 1 1)
(0 0 1 0 0 1 1 1)
(0 0 1 0 0 0 1 1)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 542 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 406 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 8 -> Algebra 898 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 406
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 8 ], [ 4, 5 ], [ 4, 6 ], [ 6, 7 ], [ 7, 3 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 1)
(0 1 1 0 0 0 0 1)
(0 0 1 0 0 0 0 1)
(0 0 1 1 1 1 1 1)
(0 0 0 0 1 0 0 0)
(0 0 1 0 0 1 1 1)
(0 0 1 0 0 0 1 1)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 563 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 412 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 5 -> Algebra 385 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 8 -> Algebra 923 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 412
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 8 ], [ 4, 6 ], [ 4, 7 ], [ 5, 6 ], [ 7, 3 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 1)
(0 1 1 0 0 0 0 1)
(0 0 1 0 0 0 0 1)
(0 0 1 1 0 1 1 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 1 0 0 0 1 1)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 569 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 414 permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex 5 -> Algebra 422 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 406 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 8 -> Algebra 928 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 414
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 8 ], [ 4, 3 ], [ 4, 7 ], [ 5, 6 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 1)
(0 1 1 0 0 0 0 1)
(0 0 1 0 0 0 0 1)
(0 0 1 1 0 0 1 1)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 571 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 140 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 424 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 7 -> Algebra 412 permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex 8 -> Algebra 442 permutation [ 1, 2, 3, 4, 7, 5, 6, 8 ]
Algebra 415
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 5, 6 ], [ 6, 7 ], [ 7, 4 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 1 1 0 0 0 0)
(0 1 1 1 0 0 0 0)
(0 0 1 1 0 0 0 0)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 1 0 1 1 0)
(0 0 0 1 0 0 1 0)
(0 0 1 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 572 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 442 permutation [ 1, 2, 3, 4, 7, 5, 6, 8 ]
vertex 5 -> Algebra 425 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 140 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 422
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 8 ], [ 4, 5 ], [ 4, 7 ], [ 5, 6 ], [ 7, 3 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 1)
(0 1 1 0 0 0 0 1)
(0 0 1 0 0 0 0 1)
(0 0 1 1 1 1 1 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 1 0 0 0 1 1)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 579 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 424 permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex 6 -> Algebra 412 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 938 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 424
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 8 ], [ 4, 3 ], [ 4, 7 ], [ 5, 6 ], [ 5, 7 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 1)
(0 1 1 0 0 0 0 1)
(0 0 1 0 0 0 0 1)
(0 0 1 1 0 0 1 1)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 581 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 146 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 427 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 6 -> Algebra 414 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 7 -> Algebra 422 permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex 8 -> Algebra 443 permutation [ 1, 2, 3, 4, 7, 5, 6, 8 ]
Algebra 425
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 5, 6 ], [ 5, 7 ], [ 7, 4 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 1 1 0 0 0 0)
(0 1 1 1 0 0 0 0)
(0 0 1 1 0 0 0 0)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 1 0 0)
(0 0 0 1 0 0 1 0)
(0 0 1 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 582 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 443 permutation [ 1, 2, 3, 4, 7, 5, 6, 8 ]
vertex 5 -> Algebra 428 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 6 -> Algebra 415 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 146 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 427
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 5, 7 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 1)
(0 1 1 0 0 0 0 1)
(0 0 1 0 0 0 0 1)
(0 0 1 1 1 0 1 1)
(0 0 0 0 1 0 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 584 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 148 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 160 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 7 -> Algebra 424 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 8 -> Algebra 159 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
Algebra 428
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 5, 4 ], [ 5, 7 ], [ 6, 7 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 1 1 0 0 0 0)
(0 1 1 1 0 0 0 0)
(0 0 1 1 0 0 0 0)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 0 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 1 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 585 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 159 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 5 -> Algebra 149 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 156 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 7 -> Algebra 425 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 8 -> Algebra 148 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 442
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 3 ], [ 4, 5 ], [ 6, 7 ], [ 7, 5 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(0 0 1 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 1 0 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 598 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 171 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 415 permutation [ 1, 2, 3, 4, 6, 7, 5, 8 ]
vertex 5 -> Algebra 928 permutation [ 1, 2, 3, 5, 6, 7, 4, 8 ]
vertex 6 -> Algebra 443 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 414 permutation [ 1, 2, 3, 4, 6, 7, 5, 8 ]
Algebra 443
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 3 ], [ 4, 5 ], [ 6, 5 ], [ 6, 7 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(0 0 1 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 599 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 173 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 425 permutation [ 1, 2, 3, 4, 6, 7, 5, 8 ]
vertex 5 -> Algebra 938 permutation [ 1, 2, 3, 5, 6, 7, 4, 8 ]
vertex 6 -> Algebra 159 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 442 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 424 permutation [ 1, 2, 3, 4, 6, 7, 5, 8 ]
Algebra 462
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 5, 6 ], [ 6, 7 ], [ 7, 4 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 0 0 0 1)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 1 0 1 1 0)
(0 0 0 1 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 618 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 216 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 898 permutation [ 1, 2, 3, 5, 6, 7, 4, 8 ]
vertex 4 -> Algebra 979 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 468 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 980 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 468
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 5, 6 ], [ 5, 7 ], [ 7, 4 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 0 0 0 1)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 1 0 0)
(0 0 0 1 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 624 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 222 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 923 permutation [ 1, 2, 3, 5, 6, 7, 4, 8 ]
vertex 4 -> Algebra 983 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 470 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 6 -> Algebra 462 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 984 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 470
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 5, 4 ], [ 5, 7 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 0 0 0 1)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 0 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 626 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 224 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 928 permutation [ 1, 2, 3, 5, 6, 7, 4, 8 ]
vertex 4 -> Algebra 643 permutation [ 3, 1, 2, 4, 5, 7, 6, 8 ]
vertex 5 -> Algebra 171 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 473 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 7 -> Algebra 468 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 8 -> Algebra 634 permutation [ 3, 1, 2, 4, 5, 7, 6, 8 ]
Algebra 471
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 4, 5 ], [ 6, 7 ], [ 7, 5 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 1 0 0 0)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 1 0 1 0)
(0 1 1 1 1 0 0 1)
Good mutations
vertex 1 -> Algebra 627 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 225 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 634 permutation [ 3, 1, 2, 4, 5, 7, 6, 8 ]
vertex 6 -> Algebra 474 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 171 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 473
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 5, 4 ], [ 5, 6 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 0 0 0 1)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 629 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 227 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 938 permutation [ 1, 2, 3, 5, 6, 7, 4, 8 ]
vertex 4 -> Algebra 256 permutation [ 3, 1, 2, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 173 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 470 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 252 permutation [ 3, 1, 2, 4, 5, 6, 7, 8 ]
Algebra 474
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 4, 5 ], [ 6, 5 ], [ 6, 7 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 1 0 0 0)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(0 1 1 1 1 0 0 1)
Good mutations
vertex 1 -> Algebra 630 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 228 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 252 permutation [ 3, 1, 2, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 174 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 471 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 173 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 542
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ], [ 7, 3 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 0 0 1)
(0 0 1 0 0 0 0 1)
(0 0 1 1 1 1 1 1)
(0 0 1 0 1 1 1 1)
(0 0 1 0 0 1 1 1)
(0 0 1 0 0 0 1 1)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 385 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 960 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 563 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 8 -> Algebra 1073 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 563
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 8 ], [ 4, 5 ], [ 4, 6 ], [ 6, 7 ], [ 7, 3 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 0 0 1)
(0 0 1 0 0 0 0 1)
(0 0 1 1 1 1 1 1)
(0 0 0 0 1 0 0 0)
(0 0 1 0 0 1 1 1)
(0 0 1 0 0 0 1 1)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 406 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 972 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 569 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 5 -> Algebra 542 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 8 -> Algebra 1099 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 569
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 8 ], [ 4, 6 ], [ 4, 7 ], [ 5, 6 ], [ 7, 3 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 0 0 1)
(0 0 1 0 0 0 0 1)
(0 0 1 1 0 1 1 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 1 0 0 0 1 1)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 412 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 977 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 571 permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex 5 -> Algebra 579 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 563 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 8 -> Algebra 1106 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 571
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 8 ], [ 4, 3 ], [ 4, 7 ], [ 5, 6 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 0 0 1)
(0 0 1 0 0 0 0 1)
(0 0 1 1 0 0 1 1)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 414 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 979 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 216 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 581 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 7 -> Algebra 569 permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex 8 -> Algebra 598 permutation [ 2, 1, 3, 4, 7, 5, 6, 8 ]
Algebra 572
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 5, 6 ], [ 6, 7 ], [ 7, 4 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 0 0 0 0)
(0 0 1 1 0 0 0 0)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 1 0 1 1 0)
(0 0 0 1 0 0 1 0)
(0 0 1 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 415 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 980 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 598 permutation [ 2, 1, 3, 4, 7, 5, 6, 8 ]
vertex 5 -> Algebra 582 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 216 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 579
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 8 ], [ 4, 5 ], [ 4, 7 ], [ 5, 6 ], [ 7, 3 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 0 0 1)
(0 0 1 0 0 0 0 1)
(0 0 1 1 1 1 1 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 1 0 0 0 1 1)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 422 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 981 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 581 permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex 6 -> Algebra 569 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 1116 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 581
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 8 ], [ 4, 3 ], [ 4, 7 ], [ 5, 6 ], [ 5, 7 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 0 0 1)
(0 0 1 0 0 0 0 1)
(0 0 1 1 0 0 1 1)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 424 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 983 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 222 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 584 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 6 -> Algebra 571 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 7 -> Algebra 579 permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex 8 -> Algebra 599 permutation [ 2, 1, 3, 4, 7, 5, 6, 8 ]
Algebra 582
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 5, 6 ], [ 5, 7 ], [ 7, 4 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 0 0 0 0)
(0 0 1 1 0 0 0 0)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 1 0 0)
(0 0 0 1 0 0 1 0)
(0 0 1 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 425 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 984 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 599 permutation [ 2, 1, 3, 4, 7, 5, 6, 8 ]
vertex 5 -> Algebra 585 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 6 -> Algebra 572 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 222 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 584
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 5, 7 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 0 0 1)
(0 0 1 0 0 0 0 1)
(0 0 1 1 1 0 1 1)
(0 0 0 0 1 0 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 427 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 643 permutation [ 3, 1, 2, 4, 5, 7, 6, 8 ]
vertex 4 -> Algebra 224 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 236 permutation [ 2, 1, 3, 4, 5, 7, 6, 8 ]
vertex 7 -> Algebra 581 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 8 -> Algebra 235 permutation [ 2, 1, 3, 4, 5, 7, 6, 8 ]
Algebra 585
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 5, 4 ], [ 5, 7 ], [ 6, 7 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 0 0 0 0)
(0 0 1 1 0 0 0 0)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 0 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 1 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 428 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 634 permutation [ 3, 1, 2, 4, 5, 7, 6, 8 ]
vertex 4 -> Algebra 235 permutation [ 2, 1, 3, 4, 5, 7, 6, 8 ]
vertex 5 -> Algebra 225 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 232 permutation [ 2, 1, 3, 4, 5, 7, 6, 8 ]
vertex 7 -> Algebra 582 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 8 -> Algebra 224 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 598
Quiver
[ 1, 2 ], [ 1, 3 ], [ 4, 3 ], [ 4, 5 ], [ 6, 7 ], [ 7, 5 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(0 0 1 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 1 0 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 640 permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 442 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 247 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 572 permutation [ 2, 1, 3, 4, 6, 7, 5, 8 ]
vertex 5 -> Algebra 1106 permutation [ 2, 1, 3, 5, 6, 7, 4, 8 ]
vertex 6 -> Algebra 599 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 571 permutation [ 2, 1, 3, 4, 6, 7, 5, 8 ]
Algebra 599
Quiver
[ 1, 2 ], [ 1, 3 ], [ 4, 3 ], [ 4, 5 ], [ 6, 5 ], [ 6, 7 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(0 0 1 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 642 permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 443 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 249 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 582 permutation [ 2, 1, 3, 4, 6, 7, 5, 8 ]
vertex 5 -> Algebra 1116 permutation [ 2, 1, 3, 5, 6, 7, 4, 8 ]
vertex 6 -> Algebra 235 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 598 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 581 permutation [ 2, 1, 3, 4, 6, 7, 5, 8 ]
Algebra 618
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 3, 8 ], [ 5, 6 ], [ 6, 7 ], [ 7, 4 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 0 0 0 1)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 1 0 1 1 0)
(0 0 0 1 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 462 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1073 permutation [ 2, 1, 3, 5, 6, 7, 4, 8 ]
vertex 4 -> Algebra 1152 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 624 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 1153 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 624
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 3, 8 ], [ 5, 6 ], [ 5, 7 ], [ 7, 4 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 0 0 0 1)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 1 0 0)
(0 0 0 1 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 468 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1099 permutation [ 2, 1, 3, 5, 6, 7, 4, 8 ]
vertex 4 -> Algebra 1156 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 626 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 6 -> Algebra 618 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 1157 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 626
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 3, 8 ], [ 5, 4 ], [ 5, 7 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 0 0 0 1)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 0 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 470 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1106 permutation [ 2, 1, 3, 5, 6, 7, 4, 8 ]
vertex 4 -> Algebra 749 permutation [ 3, 1, 2, 4, 5, 7, 6, 8 ]
vertex 5 -> Algebra 247 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 629 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 7 -> Algebra 624 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 8 -> Algebra 740 permutation [ 3, 1, 2, 4, 5, 7, 6, 8 ]
Algebra 627
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 4, 5 ], [ 6, 7 ], [ 7, 5 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 1 0 0 0)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 1 0 1 0)
(1 1 1 1 1 0 0 1)
Good mutations
vertex 2 -> Algebra 471 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 740 permutation [ 3, 1, 2, 4, 5, 7, 6, 8 ]
vertex 6 -> Algebra 630 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 247 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 629
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 3, 8 ], [ 5, 4 ], [ 5, 6 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 0 0 0 1)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 473 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1116 permutation [ 2, 1, 3, 5, 6, 7, 4, 8 ]
vertex 4 -> Algebra 312 permutation [ 3, 1, 2, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 249 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 626 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 308 permutation [ 3, 1, 2, 4, 5, 6, 7, 8 ]
Algebra 630
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 4, 5 ], [ 6, 5 ], [ 6, 7 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 1 0 0 0)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(1 1 1 1 1 0 0 1)
Good mutations
vertex 2 -> Algebra 474 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 308 permutation [ 3, 1, 2, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 250 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 627 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 249 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 634
Quiver
[ 1, 3 ], [ 1, 4 ], [ 2, 3 ], [ 5, 4 ], [ 5, 6 ], [ 7, 6 ], [ 8, 1 ]
Relations
None
Cartan matrix
(1 0 1 1 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 0 1 1 0)
(1 0 1 1 0 0 0 1)
Good mutations
vertex 2 -> Algebra 740 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 585 permutation [ 2, 3, 1, 4, 5, 7, 6, 8 ]
vertex 4 -> Algebra 255 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 471 permutation [ 2, 3, 1, 4, 5, 7, 6, 8 ]
vertex 6 -> Algebra 984 permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
vertex 7 -> Algebra 252 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 470 permutation [ 2, 3, 1, 4, 5, 7, 6, 8 ]
Algebra 640
Quiver
[ 1, 3 ], [ 2, 3 ], [ 4, 1 ], [ 4, 5 ], [ 6, 7 ], [ 7, 5 ], [ 8, 1 ]
Relations
None
Cartan matrix
(1 0 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(1 0 1 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 1 0 1 0)
(1 0 1 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 746 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 598 permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 980 permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
vertex 5 -> Algebra 1161 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 642 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 979 permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
Algebra 642
Quiver
[ 1, 3 ], [ 2, 3 ], [ 4, 1 ], [ 4, 5 ], [ 6, 5 ], [ 6, 7 ], [ 8, 1 ]
Relations
None
Cartan matrix
(1 0 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(1 0 1 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(1 0 1 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 748 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 599 permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 984 permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
vertex 5 -> Algebra 1162 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 255 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 640 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 983 permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
Algebra 643
Quiver
[ 1, 3 ], [ 1, 8 ], [ 2, 3 ], [ 4, 1 ], [ 4, 5 ], [ 5, 6 ], [ 7, 6 ]
Relations
None
Cartan matrix
(1 0 1 0 0 0 0 1)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(1 0 1 1 1 1 0 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 749 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 584 permutation [ 2, 3, 1, 4, 5, 7, 6, 8 ]
vertex 4 -> Algebra 470 permutation [ 2, 3, 1, 4, 5, 7, 6, 8 ]
vertex 6 -> Algebra 983 permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
vertex 7 -> Algebra 256 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 255 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 740
Quiver
[ 1, 2 ], [ 1, 4 ], [ 2, 3 ], [ 5, 4 ], [ 5, 6 ], [ 7, 6 ], [ 8, 1 ]
Relations
None
Cartan matrix
(1 1 1 1 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 0 1 1 0)
(1 1 1 1 0 0 0 1)
Good mutations
vertex 3 -> Algebra 634 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 311 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 627 permutation [ 2, 3, 1, 4, 5, 7, 6, 8 ]
vertex 6 -> Algebra 1157 permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
vertex 7 -> Algebra 308 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 626 permutation [ 2, 3, 1, 4, 5, 7, 6, 8 ]
Algebra 746
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 1 ], [ 4, 5 ], [ 6, 7 ], [ 7, 5 ], [ 8, 1 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(1 1 1 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 1 0 1 0)
(1 1 1 0 0 0 0 1)
Good mutations
vertex 3 -> Algebra 640 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1153 permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
vertex 5 -> Algebra 1252 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 748 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 1152 permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
Algebra 748
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 1 ], [ 4, 5 ], [ 6, 5 ], [ 6, 7 ], [ 8, 1 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(1 1 1 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(1 1 1 0 0 0 0 1)
Good mutations
vertex 3 -> Algebra 642 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1157 permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
vertex 5 -> Algebra 1253 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 311 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 746 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 1156 permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
Algebra 749
Quiver
[ 1, 2 ], [ 1, 8 ], [ 2, 3 ], [ 4, 1 ], [ 4, 5 ], [ 5, 6 ], [ 7, 6 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 1)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(1 1 1 1 1 1 0 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 3 -> Algebra 643 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 626 permutation [ 2, 3, 1, 4, 5, 7, 6, 8 ]
vertex 6 -> Algebra 1156 permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
vertex 7 -> Algebra 312 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 311 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 898
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ], [ 7, 3 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(0 0 1 1 1 1 1 0)
(0 0 1 0 1 1 1 0)
(0 0 1 0 0 1 1 0)
(0 0 1 0 0 0 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 1073 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 462 permutation [ 1, 2, 3, 7, 4, 5, 6, 8 ]
vertex 4 -> Algebra 923 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 8 -> Algebra 385 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 923
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 5 ], [ 4, 6 ], [ 6, 7 ], [ 7, 3 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(0 0 1 1 1 1 1 0)
(0 0 0 0 1 0 0 0)
(0 0 1 0 0 1 1 0)
(0 0 1 0 0 0 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 1099 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 468 permutation [ 1, 2, 3, 7, 4, 5, 6, 8 ]
vertex 4 -> Algebra 928 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 5 -> Algebra 898 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 8 -> Algebra 406 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 928
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 6 ], [ 4, 7 ], [ 5, 6 ], [ 7, 3 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(0 0 1 1 0 1 1 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 1 0 0 0 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 1106 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 470 permutation [ 1, 2, 3, 7, 4, 5, 6, 8 ]
vertex 4 -> Algebra 442 permutation [ 1, 2, 3, 7, 4, 5, 6, 8 ]
vertex 5 -> Algebra 938 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 923 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 8 -> Algebra 412 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 938
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 5 ], [ 4, 7 ], [ 5, 6 ], [ 7, 3 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(0 0 1 1 1 1 1 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 1 0 0 0 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 1116 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 473 permutation [ 1, 2, 3, 7, 4, 5, 6, 8 ]
vertex 4 -> Algebra 443 permutation [ 1, 2, 3, 7, 4, 5, 6, 8 ]
vertex 6 -> Algebra 928 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 422 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 960
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ], [ 7, 3 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 0 0 0 0 1)
(0 1 1 1 1 1 1 1)
(0 1 1 0 1 1 1 1)
(0 1 1 0 0 1 1 1)
(0 1 1 0 0 0 1 1)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 1133 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 542 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 972 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 8 -> Algebra 1158 permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
Algebra 972
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 8 ], [ 4, 5 ], [ 4, 6 ], [ 6, 7 ], [ 7, 3 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 0 0 0 0 1)
(0 1 1 1 1 1 1 1)
(0 0 0 0 1 0 0 0)
(0 1 1 0 0 1 1 1)
(0 1 1 0 0 0 1 1)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 1145 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 563 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 977 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 5 -> Algebra 960 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 8 -> Algebra 1160 permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
Algebra 977
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 8 ], [ 4, 6 ], [ 4, 7 ], [ 5, 6 ], [ 7, 3 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 0 0 0 0 1)
(0 1 1 1 0 1 1 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 1 1 0 0 0 1 1)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 1150 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 569 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 979 permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex 5 -> Algebra 981 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 972 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 8 -> Algebra 1161 permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
Algebra 979
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 8 ], [ 4, 3 ], [ 4, 7 ], [ 5, 6 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 0 0 0 0 1)
(0 1 1 1 0 0 1 1)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 1152 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 571 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 462 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 983 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 7 -> Algebra 977 permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex 8 -> Algebra 640 permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
Algebra 980
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 5, 6 ], [ 6, 7 ], [ 7, 4 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 0 0 0 0)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 1 0 1 1 0)
(0 0 0 1 0 0 1 0)
(0 1 1 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 1153 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 572 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 640 permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
vertex 5 -> Algebra 984 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 462 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 981
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 8 ], [ 4, 5 ], [ 4, 7 ], [ 5, 6 ], [ 7, 3 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 0 0 0 0 1)
(0 1 1 1 1 1 1 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 1 1 0 0 0 1 1)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 1154 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 579 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 983 permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex 6 -> Algebra 977 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 1162 permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
Algebra 983
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 8 ], [ 4, 3 ], [ 4, 7 ], [ 5, 6 ], [ 5, 7 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 0 0 0 0 1)
(0 1 1 1 0 0 1 1)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 1156 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 581 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 468 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 643 permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
vertex 6 -> Algebra 979 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 7 -> Algebra 981 permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex 8 -> Algebra 642 permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
Algebra 984
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 5, 6 ], [ 5, 7 ], [ 7, 4 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 0 0 0 0)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 1 0 0)
(0 0 0 1 0 0 1 0)
(0 1 1 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 1157 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 582 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 642 permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
vertex 5 -> Algebra 634 permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
vertex 6 -> Algebra 980 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 468 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1073
Quiver
[ 2, 1 ], [ 2, 3 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ], [ 7, 3 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(0 0 1 1 1 1 1 0)
(0 0 1 0 1 1 1 0)
(0 0 1 0 0 1 1 0)
(0 0 1 0 0 0 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 898 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1158 permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
vertex 3 -> Algebra 618 permutation [ 2, 1, 3, 7, 4, 5, 6, 8 ]
vertex 4 -> Algebra 1099 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 8 -> Algebra 542 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1099
Quiver
[ 2, 1 ], [ 2, 3 ], [ 4, 5 ], [ 4, 6 ], [ 6, 7 ], [ 7, 3 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(0 0 1 1 1 1 1 0)
(0 0 0 0 1 0 0 0)
(0 0 1 0 0 1 1 0)
(0 0 1 0 0 0 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 923 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1160 permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
vertex 3 -> Algebra 624 permutation [ 2, 1, 3, 7, 4, 5, 6, 8 ]
vertex 4 -> Algebra 1106 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 5 -> Algebra 1073 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 8 -> Algebra 563 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1106
Quiver
[ 2, 1 ], [ 2, 3 ], [ 4, 6 ], [ 4, 7 ], [ 5, 6 ], [ 7, 3 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(0 0 1 1 0 1 1 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 1 0 0 0 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 928 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1161 permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
vertex 3 -> Algebra 626 permutation [ 2, 1, 3, 7, 4, 5, 6, 8 ]
vertex 4 -> Algebra 598 permutation [ 2, 1, 3, 7, 4, 5, 6, 8 ]
vertex 5 -> Algebra 1116 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 1099 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 8 -> Algebra 569 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1116
Quiver
[ 2, 1 ], [ 2, 3 ], [ 4, 5 ], [ 4, 7 ], [ 5, 6 ], [ 7, 3 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(0 0 1 1 1 1 1 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 1 0 0 0 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 938 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1162 permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
vertex 3 -> Algebra 629 permutation [ 2, 1, 3, 7, 4, 5, 6, 8 ]
vertex 4 -> Algebra 599 permutation [ 2, 1, 3, 7, 4, 5, 6, 8 ]
vertex 6 -> Algebra 1106 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 579 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1133
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ], [ 7, 3 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 0 0 0 1)
(1 1 1 1 1 1 1 1)
(1 1 1 0 1 1 1 1)
(1 1 1 0 0 1 1 1)
(1 1 1 0 0 0 1 1)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 960 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1145 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 8 -> Algebra 1249 permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
Algebra 1145
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 8 ], [ 4, 5 ], [ 4, 6 ], [ 6, 7 ], [ 7, 3 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 0 0 0 1)
(1 1 1 1 1 1 1 1)
(0 0 0 0 1 0 0 0)
(1 1 1 0 0 1 1 1)
(1 1 1 0 0 0 1 1)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 972 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1150 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 5 -> Algebra 1133 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 8 -> Algebra 1251 permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
Algebra 1150
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 8 ], [ 4, 6 ], [ 4, 7 ], [ 5, 6 ], [ 7, 3 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 0 0 0 1)
(1 1 1 1 0 1 1 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(1 1 1 0 0 0 1 1)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 977 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1152 permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex 5 -> Algebra 1154 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 1145 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 8 -> Algebra 1252 permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
Algebra 1152
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 8 ], [ 4, 3 ], [ 4, 7 ], [ 5, 6 ], [ 6, 7 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 0 0 0 1)
(1 1 1 1 0 0 1 1)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 979 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 618 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 1156 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 7 -> Algebra 1150 permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex 8 -> Algebra 746 permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
Algebra 1153
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 5, 6 ], [ 6, 7 ], [ 7, 4 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 0 0 0 0)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 1 0 1 1 0)
(0 0 0 1 0 0 1 0)
(1 1 1 1 0 0 0 1)
Good mutations
vertex 2 -> Algebra 980 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 746 permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
vertex 5 -> Algebra 1157 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 618 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1154
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 8 ], [ 4, 5 ], [ 4, 7 ], [ 5, 6 ], [ 7, 3 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 0 0 0 1)
(1 1 1 1 1 1 1 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 0 0)
(1 1 1 0 0 0 1 1)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 981 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1156 permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex 6 -> Algebra 1150 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 1253 permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
Algebra 1156
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 8 ], [ 4, 3 ], [ 4, 7 ], [ 5, 6 ], [ 5, 7 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 0 0 0 1)
(1 1 1 1 0 0 1 1)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 983 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 624 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 749 permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
vertex 6 -> Algebra 1152 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 7 -> Algebra 1154 permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex 8 -> Algebra 748 permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
Algebra 1157
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 5, 6 ], [ 5, 7 ], [ 7, 4 ], [ 8, 3 ]
Relations
None
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 0 0 0 0)
(0 0 0 1 0 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 1 0 0)
(0 0 0 1 0 0 1 0)
(1 1 1 1 0 0 0 1)
Good mutations
vertex 2 -> Algebra 984 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 748 permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
vertex 5 -> Algebra 740 permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
vertex 6 -> Algebra 1153 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 624 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1158
Quiver
[ 1, 3 ], [ 2, 3 ], [ 4, 1 ], [ 5, 6 ], [ 6, 7 ], [ 7, 4 ], [ 8, 1 ]
Relations
None
Cartan matrix
(1 0 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(1 0 1 1 0 0 0 0)
(1 0 1 1 1 1 1 0)
(1 0 1 1 0 1 1 0)
(1 0 1 1 0 0 1 0)
(1 0 1 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 1249 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1073 permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
vertex 5 -> Algebra 1160 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 960 permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
Algebra 1160
Quiver
[ 1, 3 ], [ 2, 3 ], [ 4, 1 ], [ 5, 6 ], [ 5, 7 ], [ 7, 4 ], [ 8, 1 ]
Relations
None
Cartan matrix
(1 0 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(1 0 1 1 0 0 0 0)
(1 0 1 1 1 1 1 0)
(0 0 0 0 0 1 0 0)
(1 0 1 1 0 0 1 0)
(1 0 1 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 1251 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1099 permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
vertex 5 -> Algebra 1161 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 6 -> Algebra 1158 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 972 permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
Algebra 1161
Quiver
[ 1, 3 ], [ 2, 3 ], [ 4, 1 ], [ 5, 4 ], [ 5, 7 ], [ 6, 7 ], [ 8, 1 ]
Relations
None
Cartan matrix
(1 0 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(1 0 1 1 0 0 0 0)
(1 0 1 1 1 0 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(1 0 1 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 1252 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1106 permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
vertex 5 -> Algebra 640 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 1162 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 7 -> Algebra 1160 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 8 -> Algebra 977 permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
Algebra 1162
Quiver
[ 1, 3 ], [ 2, 3 ], [ 4, 1 ], [ 5, 4 ], [ 5, 6 ], [ 6, 7 ], [ 8, 1 ]
Relations
None
Cartan matrix
(1 0 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(1 0 1 1 0 0 0 0)
(1 0 1 1 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(1 0 1 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 1253 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1116 permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
vertex 5 -> Algebra 642 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 1161 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 981 permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
Algebra 1249
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 1 ], [ 5, 6 ], [ 6, 7 ], [ 7, 4 ], [ 8, 1 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(1 1 1 1 0 0 0 0)
(1 1 1 1 1 1 1 0)
(1 1 1 1 0 1 1 0)
(1 1 1 1 0 0 1 0)
(1 1 1 0 0 0 0 1)
Good mutations
vertex 3 -> Algebra 1158 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 1251 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 1133 permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
Algebra 1251
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 1 ], [ 5, 6 ], [ 5, 7 ], [ 7, 4 ], [ 8, 1 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(1 1 1 1 0 0 0 0)
(1 1 1 1 1 1 1 0)
(0 0 0 0 0 1 0 0)
(1 1 1 1 0 0 1 0)
(1 1 1 0 0 0 0 1)
Good mutations
vertex 3 -> Algebra 1160 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 1252 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 6 -> Algebra 1249 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 1145 permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
Algebra 1252
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 1 ], [ 5, 4 ], [ 5, 7 ], [ 6, 7 ], [ 8, 1 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(1 1 1 1 0 0 0 0)
(1 1 1 1 1 0 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(1 1 1 0 0 0 0 1)
Good mutations
vertex 3 -> Algebra 1161 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 746 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 1253 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 7 -> Algebra 1251 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 8 -> Algebra 1150 permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
Algebra 1253
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 1 ], [ 5, 4 ], [ 5, 6 ], [ 6, 7 ], [ 8, 1 ]
Relations
None
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 0 0 0 0)
(1 1 1 1 0 0 0 0)
(1 1 1 1 1 1 1 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 0)
(1 1 1 0 0 0 0 1)
Good mutations
vertex 3 -> Algebra 1162 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 748 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 1252 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 1154 permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]