Algebra 5
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 5 ], [ 3, 8 ], [ 4, 3 ], [ 5, 4 ], [ 5, 6 ], [ 6, 7 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 1 1 0 1 1 1 1)
(0 1 1 0 1 1 1 1)
(0 0 1 0 1 1 1 1)
(0 0 1 1 0 0 0 1)
(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 12 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 31 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 33 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 34 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 6
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
Cartan matrix
(1 1 1 1 0 1 1 1)
(0 1 1 1 0 1 1 1)
(0 0 1 1 0 1 1 1)
(0 0 0 1 0 1 1 0)
(0 0 0 1 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 13 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 35 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 36 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 37 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 38 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 7
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ]
Relations
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
Cartan matrix
(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 1 0)
(0 0 0 0 1 0 1 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 14 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 39 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 41 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 12
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 5 ], [ 3, 8 ], [ 4, 3 ], [ 5, 4 ], [ 5, 6 ], [ 6, 7 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 1 1 1 1)
(0 0 1 0 1 1 1 1)
(0 0 1 1 0 0 0 1)
(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 5 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 46 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 58 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 60 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 61 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 13
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 0 1 1 1)
(0 0 1 1 0 1 1 1)
(0 0 0 1 0 1 1 0)
(0 0 0 1 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 6 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 47 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 62 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 63 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 64 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 65 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 14
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ]
Relations
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 1 0 1 1)
(0 0 1 1 1 0 1 1)
(0 0 0 1 1 0 1 0)
(0 0 0 0 1 0 1 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 7 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 48 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 66 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 68 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 31
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 6 ], [ 3, 8 ], [ 4, 5 ], [ 5, 3 ], [ 6, 5 ], [ 6, 7 ]
Relations
[ 6, 5, 3 ]
[ 3, 6, 5 ]
[ 5, 3, 6 ]
Cartan matrix
(1 1 1 0 0 1 1 1)
(0 1 1 0 0 1 1 1)
(0 0 1 0 0 1 1 1)
(0 0 1 1 1 0 0 1)
(0 0 1 0 1 0 0 1)
(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 58 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 35 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 5 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 126 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 127 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 128 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 33
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 5 ], [ 3, 8 ], [ 4, 3 ], [ 5, 4 ], [ 5, 6 ], [ 7, 6 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 1 1 0 1 1 0 1)
(0 1 1 0 1 1 0 1)
(0 0 1 0 1 1 0 1)
(0 0 1 1 0 0 0 1)
(0 0 0 1 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 60 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 127 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 132 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 5 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 133 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 34
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 5 ], [ 4, 3 ], [ 5, 4 ], [ 5, 6 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 1 1 0 1 1 1 0)
(0 1 1 0 1 1 1 0)
(0 0 1 0 1 1 1 0)
(0 0 1 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 0 1 1 1 1)
Good mutations
vertex 1 -> Algebra 61 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 134 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 128 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 133 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 5 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 35
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 6 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 6, 4 ], [ 6, 7 ]
Relations
[ 6, 4, 3 ]
[ 3, 6, 4 ]
[ 4, 3, 6 ]
Cartan matrix
(1 1 1 0 0 1 1 1)
(0 1 1 0 0 1 1 1)
(0 0 1 0 0 1 1 1)
(0 0 1 1 1 0 0 1)
(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 0 1)
Good mutations
vertex 1 -> Algebra 62 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 6 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 31 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 136 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 137 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 138 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 36
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 4, 7 ], [ 5, 6 ], [ 6, 4 ], [ 7, 6 ]
Relations
[ 7, 6, 4 ]
[ 4, 7, 6 ]
[ 6, 4, 7 ]
Cartan matrix
(1 1 1 1 0 0 1 1)
(0 1 1 1 0 0 1 1)
(0 0 1 1 0 0 1 1)
(0 0 0 1 0 0 1 0)
(0 0 0 1 1 1 0 0)
(0 0 0 1 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 63 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 139 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 39 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 6 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 141 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 37
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 7, 6 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
Cartan matrix
(1 1 1 1 0 1 0 1)
(0 1 1 1 0 1 0 1)
(0 0 1 1 0 1 0 1)
(0 0 0 1 0 1 0 0)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 64 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 137 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 142 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 6 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 143 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 38
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
Cartan matrix
(1 1 1 1 0 1 1 0)
(0 1 1 1 0 1 1 0)
(0 0 1 1 0 1 1 0)
(0 0 0 1 0 1 1 0)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 1 1 0 1 1 1)
Good mutations
vertex 1 -> Algebra 65 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 138 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 141 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 143 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 6 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 39
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 4, 7 ], [ 5, 4 ], [ 5, 6 ], [ 7, 5 ]
Relations
[ 7, 5, 4 ]
[ 4, 7, 5 ]
[ 5, 4, 7 ]
Cartan matrix
(1 1 1 1 0 0 1 1)
(0 1 1 1 0 0 1 1)
(0 0 1 1 0 0 1 1)
(0 0 0 1 0 0 1 0)
(0 0 0 1 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 66 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 145 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 7 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 36 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 147 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 41
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
Cartan matrix
(1 1 1 1 1 0 1 0)
(0 1 1 1 1 0 1 0)
(0 0 1 1 1 0 1 0)
(0 0 0 1 1 0 1 0)
(0 0 0 0 1 0 1 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 1 1 1 0 1 1)
Good mutations
vertex 1 -> Algebra 68 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 147 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 7 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 44
Quiver
[ 1, 2 ], [ 2, 4 ], [ 3, 2 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ], [ 8, 4 ]
Relations
[ 4, 3, 2 ]
[ 2, 4, 3 ]
[ 8, 4, 3 ]
[ 4, 3, 8 ]
[ 3, 2, 4 ] - [ 3, 8, 4 ]
Cartan matrix
(1 1 0 1 1 1 1 0)
(0 1 0 1 1 1 1 0)
(0 1 1 1 1 1 1 1)
(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 1 1 1 1 1)
Good mutations
vertex 1 -> Algebra 71 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 155 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 153 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 46
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 5 ], [ 3, 8 ], [ 4, 3 ], [ 5, 4 ], [ 5, 6 ], [ 6, 7 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(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 1 1 1 0 0 0 1)
(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 73 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 12 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 161 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 162 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 164 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 165 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 47
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 0 1 1 1)
(0 0 0 1 0 1 1 0)
(0 0 0 1 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 74 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 13 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 157 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 166 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 167 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 168 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 169 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 48
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ]
Relations
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 1 0 1 1)
(0 0 0 1 1 0 1 0)
(0 0 0 0 1 0 1 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 75 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 14 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 158 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 170 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 172 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 58
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 6 ], [ 3, 8 ], [ 4, 5 ], [ 5, 3 ], [ 6, 5 ], [ 6, 7 ]
Relations
[ 6, 5, 3 ]
[ 3, 6, 5 ]
[ 5, 3, 6 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 1 1 1)
(0 0 1 0 0 1 1 1)
(0 0 1 1 1 0 0 1)
(0 0 1 0 1 0 0 1)
(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 31 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 162 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 62 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 12 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 202 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 203 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 204 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 60
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 5 ], [ 3, 8 ], [ 4, 3 ], [ 5, 4 ], [ 5, 6 ], [ 7, 6 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 1 1 0 1)
(0 0 1 0 1 1 0 1)
(0 0 1 1 0 0 0 1)
(0 0 0 1 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 33 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 164 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 203 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 208 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 12 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 209 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 61
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 5 ], [ 4, 3 ], [ 5, 4 ], [ 5, 6 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 1 1 1 0)
(0 0 1 0 1 1 1 0)
(0 0 1 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 0 1 1 1 1)
Good mutations
vertex 1 -> Algebra 34 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 165 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 210 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 204 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 209 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 12 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 62
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 6 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 6, 4 ], [ 6, 7 ]
Relations
[ 6, 4, 3 ]
[ 3, 6, 4 ]
[ 4, 3, 6 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 1 1 1)
(0 0 1 0 0 1 1 1)
(0 0 1 1 1 0 0 1)
(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 0 1)
Good mutations
vertex 1 -> Algebra 35 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 166 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 13 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 58 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 212 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 213 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 214 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 63
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 4, 7 ], [ 5, 6 ], [ 6, 4 ], [ 7, 6 ]
Relations
[ 7, 6, 4 ]
[ 4, 7, 6 ]
[ 6, 4, 7 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 0 0 1 1)
(0 0 1 1 0 0 1 1)
(0 0 0 1 0 0 1 0)
(0 0 0 1 1 1 0 0)
(0 0 0 1 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 36 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 167 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 215 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 66 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 13 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 217 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 64
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 7, 6 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 0 1 0 1)
(0 0 1 1 0 1 0 1)
(0 0 0 1 0 1 0 0)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 37 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 168 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 213 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 218 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 13 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 219 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 65
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 0 1 1 0)
(0 0 1 1 0 1 1 0)
(0 0 0 1 0 1 1 0)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 1 1 0 1 1 1)
Good mutations
vertex 1 -> Algebra 38 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 169 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 214 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 217 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 219 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 13 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 66
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 4, 7 ], [ 5, 4 ], [ 5, 6 ], [ 7, 5 ]
Relations
[ 7, 5, 4 ]
[ 4, 7, 5 ]
[ 5, 4, 7 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 0 0 1 1)
(0 0 1 1 0 0 1 1)
(0 0 0 1 0 0 1 0)
(0 0 0 1 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 39 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 170 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 221 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 14 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 63 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 223 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 68
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 1 0 1 0)
(0 0 1 1 1 0 1 0)
(0 0 0 1 1 0 1 0)
(0 0 0 0 1 0 1 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 1 1 1 0 1 1)
Good mutations
vertex 1 -> Algebra 41 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 172 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 223 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 14 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 71
Quiver
[ 2, 1 ], [ 2, 4 ], [ 3, 2 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ], [ 8, 4 ]
Relations
[ 4, 3, 2 ]
[ 2, 4, 3 ]
[ 8, 4, 3 ]
[ 4, 3, 8 ]
[ 3, 2, 4 ] - [ 3, 8, 4 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 1 1 1 1 0)
(1 1 1 1 1 1 1 1)
(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 1 1 1 1 1)
Good mutations
vertex 1 -> Algebra 44 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 231 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 229 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 73
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 5 ], [ 3, 8 ], [ 4, 3 ], [ 5, 4 ], [ 5, 6 ], [ 6, 7 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 1 1 1 1)
(1 1 1 1 0 0 0 1)
(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 46 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 237 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 238 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 240 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 241 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 74
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 3, 8 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 0 1 1 1)
(0 0 0 1 0 1 1 0)
(0 0 0 1 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 47 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 233 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 242 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 243 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 244 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 245 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 75
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ]
Relations
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 1 0 1 1)
(0 0 0 1 1 0 1 0)
(0 0 0 0 1 0 1 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 48 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 234 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 246 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 248 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 126
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 7 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 6, 3 ], [ 7, 6 ]
Relations
[ 7, 6, 3 ]
[ 3, 7, 6 ]
[ 6, 3, 7 ]
Cartan matrix
(1 1 1 0 0 0 1 1)
(0 1 1 0 0 0 1 1)
(0 0 1 0 0 0 1 1)
(0 0 1 1 1 1 0 1)
(0 0 1 0 1 1 0 1)
(0 0 1 0 0 1 0 1)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 202 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 136 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 31 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 386 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 127
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 6 ], [ 3, 8 ], [ 4, 5 ], [ 5, 3 ], [ 6, 5 ], [ 7, 6 ]
Relations
[ 6, 5, 3 ]
[ 3, 6, 5 ]
[ 5, 3, 6 ]
Cartan matrix
(1 1 1 0 0 1 0 1)
(0 1 1 0 0 1 0 1)
(0 0 1 0 0 1 0 1)
(0 0 1 1 1 0 0 1)
(0 0 1 0 1 0 0 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 203 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 137 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 33 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 387 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 31 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 388 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 128
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 6 ], [ 4, 5 ], [ 5, 3 ], [ 6, 5 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 6, 5, 3 ]
[ 3, 6, 5 ]
[ 5, 3, 6 ]
Cartan matrix
(1 1 1 0 0 1 1 0)
(0 1 1 0 0 1 1 0)
(0 0 1 0 0 1 1 0)
(0 0 1 1 1 0 0 0)
(0 0 1 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 1 1 1)
Good mutations
vertex 1 -> Algebra 204 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 389 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 138 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 34 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 386 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 388 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 31 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 130
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 5 ], [ 3, 8 ], [ 4, 3 ], [ 5, 4 ], [ 6, 7 ], [ 7, 5 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 1 1 0 1 0 0 1)
(0 1 1 0 1 0 0 1)
(0 0 1 0 1 0 0 1)
(0 0 1 1 0 0 0 1)
(0 0 0 1 1 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 1 1 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 206 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 393 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 132 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 394 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 132
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 5 ], [ 3, 8 ], [ 4, 3 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 1 1 0 1 0 0 1)
(0 1 1 0 1 0 0 1)
(0 0 1 0 1 0 0 1)
(0 0 1 1 0 0 0 1)
(0 0 0 1 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 0 1)
Good mutations
vertex 1 -> Algebra 208 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 396 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 33 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 130 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 397 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 133
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 5 ], [ 4, 3 ], [ 5, 4 ], [ 5, 6 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 1 1 0 1 1 0 0)
(0 1 1 0 1 1 0 0)
(0 0 1 0 1 1 0 0)
(0 0 1 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)
(0 0 1 0 1 1 0 1)
Good mutations
vertex 1 -> Algebra 209 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 398 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 388 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 397 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 34 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 33 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 134
Quiver
[ 1, 2 ], [ 2, 5 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 5, 3 ], [ 5, 6 ], [ 6, 7 ], [ 8, 5 ]
Relations
[ 5, 3, 2 ]
[ 2, 5, 3 ]
[ 8, 5, 3 ]
[ 5, 3, 8 ]
[ 3, 2, 5 ] - [ 3, 8, 5 ]
Cartan matrix
(1 1 0 0 1 1 1 0)
(0 1 0 0 1 1 1 0)
(0 1 1 1 1 1 1 1)
(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 1 1 1 1)
Good mutations
vertex 1 -> Algebra 210 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 34 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 155 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 5 -> Algebra 400 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 398 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 136
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 7 ], [ 3, 8 ], [ 4, 5 ], [ 4, 6 ], [ 6, 3 ], [ 7, 6 ]
Relations
[ 7, 6, 3 ]
[ 3, 7, 6 ]
[ 6, 3, 7 ]
Cartan matrix
(1 1 1 0 0 0 1 1)
(0 1 1 0 0 0 1 1)
(0 0 1 0 0 0 1 1)
(0 0 1 1 1 1 0 1)
(0 0 0 0 1 0 0 0)
(0 0 1 0 0 1 0 1)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 212 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 139 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 5 -> Algebra 126 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 35 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 407 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 137
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 6 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 6, 4 ], [ 7, 6 ]
Relations
[ 6, 4, 3 ]
[ 3, 6, 4 ]
[ 4, 3, 6 ]
Cartan matrix
(1 1 1 0 0 1 0 1)
(0 1 1 0 0 1 0 1)
(0 0 1 0 0 1 0 1)
(0 0 1 1 1 0 0 1)
(0 0 0 0 1 0 0 0)
(0 0 0 1 1 1 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 213 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 37 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 127 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 408 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 35 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 409 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 138
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 6 ], [ 4, 3 ], [ 4, 5 ], [ 6, 4 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 6, 4, 3 ]
[ 3, 6, 4 ]
[ 4, 3, 6 ]
Cartan matrix
(1 1 1 0 0 1 1 0)
(0 1 1 0 0 1 1 0)
(0 0 1 0 0 1 1 0)
(0 0 1 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 1 0 0 1 1 1)
Good mutations
vertex 1 -> Algebra 214 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 410 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 38 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 128 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 407 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 409 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 35 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 139
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 7 ], [ 3, 8 ], [ 4, 3 ], [ 4, 6 ], [ 5, 6 ], [ 7, 4 ]
Relations
[ 7, 4, 3 ]
[ 3, 7, 4 ]
[ 4, 3, 7 ]
Cartan matrix
(1 1 1 0 0 0 1 1)
(0 1 1 0 0 0 1 1)
(0 0 1 0 0 0 1 1)
(0 0 1 1 0 1 0 1)
(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 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 215 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 36 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 145 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 136 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 8 -> Algebra 413 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 141
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 4, 7 ], [ 5, 6 ], [ 6, 4 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 7, 6, 4 ]
[ 4, 7, 6 ]
[ 6, 4, 7 ]
Cartan matrix
(1 1 1 1 0 0 1 0)
(0 1 1 1 0 0 1 0)
(0 0 1 1 0 0 1 0)
(0 0 0 1 0 0 1 0)
(0 0 0 1 1 1 0 0)
(0 0 0 1 0 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 1 1 0 0 1 1)
Good mutations
vertex 1 -> Algebra 217 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 413 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 147 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 38 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 36 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 142
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 5, 6 ], [ 6, 4 ], [ 6, 7 ], [ 7, 5 ]
Relations
[ 6, 7, 5 ]
[ 7, 5, 6 ]
[ 5, 6, 7 ]
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 0 0)
(0 0 0 1 0 1 1 0)
(0 0 0 0 1 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 218 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 417 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 37 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 418 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 143
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
Cartan matrix
(1 1 1 1 0 1 0 0)
(0 1 1 1 0 1 0 0)
(0 0 1 1 0 1 0 0)
(0 0 0 1 0 1 0 0)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 1 1 0 1 0 1)
Good mutations
vertex 1 -> Algebra 219 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 409 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 418 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 38 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 37 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 145
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 7 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 5, 6 ], [ 7, 4 ]
Relations
[ 7, 4, 3 ]
[ 3, 7, 4 ]
[ 4, 3, 7 ]
Cartan matrix
(1 1 1 0 0 0 1 1)
(0 1 1 0 0 0 1 1)
(0 0 1 0 0 0 1 1)
(0 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 1 1 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 221 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 39 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 139 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 423 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 147
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 4, 7 ], [ 5, 4 ], [ 5, 6 ], [ 7, 5 ], [ 8, 3 ]
Relations
[ 7, 5, 4 ]
[ 4, 7, 5 ]
[ 5, 4, 7 ]
Cartan matrix
(1 1 1 1 0 0 1 0)
(0 1 1 1 0 0 1 0)
(0 0 1 1 0 0 1 0)
(0 0 0 1 0 0 1 0)
(0 0 0 1 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 1 1 0 0 1 1)
Good mutations
vertex 1 -> Algebra 223 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 423 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 41 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 141 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 39 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 153
Quiver
[ 1, 2 ], [ 2, 4 ], [ 3, 2 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 5, 6 ], [ 7, 6 ], [ 8, 4 ]
Relations
[ 4, 3, 2 ]
[ 2, 4, 3 ]
[ 8, 4, 3 ]
[ 4, 3, 8 ]
[ 3, 2, 4 ] - [ 3, 8, 4 ]
Cartan matrix
(1 1 0 1 1 1 0 0)
(0 1 0 1 1 1 0 0)
(0 1 1 1 1 1 0 1)
(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 0 1 1 1 0 1)
Good mutations
vertex 1 -> Algebra 229 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 434 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 432 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 44 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 155
Quiver
[ 1, 2 ], [ 2, 5 ], [ 3, 4 ], [ 4, 2 ], [ 4, 8 ], [ 5, 4 ], [ 5, 6 ], [ 6, 7 ], [ 8, 5 ]
Relations
[ 5, 4, 2 ]
[ 2, 5, 4 ]
[ 8, 5, 4 ]
[ 5, 4, 8 ]
[ 4, 2, 5 ] - [ 4, 8, 5 ]
Cartan matrix
(1 1 0 0 1 1 1 0)
(0 1 0 0 1 1 1 0)
(0 1 1 1 1 1 1 1)
(0 1 0 1 1 1 1 1)
(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 1 1 1 1)
Good mutations
vertex 1 -> Algebra 231 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 134 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 4 -> Algebra 44 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 438 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 434 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 157
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 3 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
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 1 1 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 233 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 47 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 397 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 439 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 440 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 396 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
Algebra 158
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 3 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
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 1 0)
(0 0 0 0 1 0 1 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 234 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 48 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 418 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 5 -> Algebra 441 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 417 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
Algebra 161
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 4, 2 ], [ 4, 8 ], [ 5, 3 ], [ 5, 6 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 3, 4, 2 ]
[ 2, 3, 4 ]
[ 8, 3, 4 ]
[ 3, 4, 8 ]
[ 4, 2, 3 ] - [ 4, 8, 3 ]
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 1 0 0 0 0)
(0 1 1 1 0 0 0 1)
(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 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 237 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 46 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 432 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 7 -> Algebra 445 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 162
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 6 ], [ 3, 8 ], [ 4, 5 ], [ 5, 3 ], [ 6, 5 ], [ 6, 7 ]
Relations
[ 6, 5, 3 ]
[ 3, 6, 5 ]
[ 5, 3, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 0 0 1 1 1)
(0 1 1 1 1 0 0 1)
(0 1 1 0 1 0 0 1)
(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 238 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 58 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 447 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 166 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 46 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 448 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 449 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 450 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 164
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 5 ], [ 3, 8 ], [ 4, 3 ], [ 5, 4 ], [ 5, 6 ], [ 7, 6 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 0 1 1 0 1)
(0 1 1 1 0 0 0 1)
(0 0 0 1 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 240 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 60 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 445 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 449 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 454 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 46 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 455 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 165
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 5 ], [ 4, 3 ], [ 5, 4 ], [ 5, 6 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(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 1 1 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 1 1 0 1 1 1 1)
Good mutations
vertex 1 -> Algebra 241 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 61 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 450 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 455 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 46 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 166
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 6 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 6, 4 ], [ 6, 7 ]
Relations
[ 6, 4, 3 ]
[ 3, 6, 4 ]
[ 4, 3, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 0 0 1 1 1)
(0 1 1 1 1 0 0 1)
(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 0 1)
Good mutations
vertex 1 -> Algebra 242 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 62 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 457 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 47 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 162 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 458 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 459 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 460 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 167
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 4, 7 ], [ 5, 6 ], [ 6, 4 ], [ 7, 6 ]
Relations
[ 7, 6, 4 ]
[ 4, 7, 6 ]
[ 6, 4, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 0 0 1 1)
(0 0 0 1 0 0 1 0)
(0 0 0 1 1 1 0 0)
(0 0 0 1 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 243 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 63 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 439 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 461 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 170 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 47 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 463 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 168
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 7, 6 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 0 1 0 1)
(0 0 0 1 0 1 0 0)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 244 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 64 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 440 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 459 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 464 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 47 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 465 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 169
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 0 1 1 0)
(0 0 0 1 0 1 1 0)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(0 1 1 1 0 1 1 1)
Good mutations
vertex 1 -> Algebra 245 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 65 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 460 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 463 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 465 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 47 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 170
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 4, 7 ], [ 5, 4 ], [ 5, 6 ], [ 7, 5 ]
Relations
[ 7, 5, 4 ]
[ 4, 7, 5 ]
[ 5, 4, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 0 0 1 1)
(0 0 0 1 0 0 1 0)
(0 0 0 1 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 246 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 66 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 441 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 467 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 48 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 167 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 469 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 172
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 1 0 1 0)
(0 0 0 1 1 0 1 0)
(0 0 0 0 1 0 1 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 1 0)
(0 1 1 1 1 0 1 1)
Good mutations
vertex 1 -> Algebra 248 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 68 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 469 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 48 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 202
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 7 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 6, 3 ], [ 7, 6 ]
Relations
[ 7, 6, 3 ]
[ 3, 7, 6 ]
[ 6, 3, 7 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 0 1 1)
(0 0 1 0 0 0 1 1)
(0 0 1 1 1 1 0 1)
(0 0 1 0 1 1 0 1)
(0 0 1 0 0 1 0 1)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 126 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 448 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 212 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 58 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 543 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 203
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 6 ], [ 3, 8 ], [ 4, 5 ], [ 5, 3 ], [ 6, 5 ], [ 7, 6 ]
Relations
[ 6, 5, 3 ]
[ 3, 6, 5 ]
[ 5, 3, 6 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 1 0 1)
(0 0 1 0 0 1 0 1)
(0 0 1 1 1 0 0 1)
(0 0 1 0 1 0 0 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 127 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 449 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 213 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 60 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 544 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 58 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 545 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 204
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 6 ], [ 4, 5 ], [ 5, 3 ], [ 6, 5 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 6, 5, 3 ]
[ 3, 6, 5 ]
[ 5, 3, 6 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 1 1 0)
(0 0 1 0 0 1 1 0)
(0 0 1 1 1 0 0 0)
(0 0 1 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 1 1 1)
Good mutations
vertex 1 -> Algebra 128 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 450 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 546 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 214 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 61 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 543 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 545 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 58 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 206
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 5 ], [ 3, 8 ], [ 4, 3 ], [ 5, 4 ], [ 6, 7 ], [ 7, 5 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 1 0 0 1)
(0 0 1 0 1 0 0 1)
(0 0 1 1 0 0 0 1)
(0 0 0 1 1 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 1 1 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 130 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 452 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 550 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 208 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 551 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 208
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 5 ], [ 3, 8 ], [ 4, 3 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 1 0 0 1)
(0 0 1 0 1 0 0 1)
(0 0 1 1 0 0 0 1)
(0 0 0 1 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 0 1)
Good mutations
vertex 1 -> Algebra 132 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 454 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 553 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 60 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 206 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 554 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 209
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 5 ], [ 4, 3 ], [ 5, 4 ], [ 5, 6 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 1 1 0 0)
(0 0 1 0 1 1 0 0)
(0 0 1 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)
(0 0 1 0 1 1 0 1)
Good mutations
vertex 1 -> Algebra 133 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 455 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 555 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 545 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 554 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 61 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 60 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 210
Quiver
[ 2, 1 ], [ 2, 5 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 5, 3 ], [ 5, 6 ], [ 6, 7 ], [ 8, 5 ]
Relations
[ 5, 3, 2 ]
[ 2, 5, 3 ]
[ 8, 5, 3 ]
[ 5, 3, 8 ]
[ 3, 2, 5 ] - [ 3, 8, 5 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 0 1 1 1 0)
(1 1 1 1 1 1 1 1)
(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 1 1 1 1)
Good mutations
vertex 1 -> Algebra 134 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 61 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 231 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 5 -> Algebra 557 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 555 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 212
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 7 ], [ 3, 8 ], [ 4, 5 ], [ 4, 6 ], [ 6, 3 ], [ 7, 6 ]
Relations
[ 7, 6, 3 ]
[ 3, 7, 6 ]
[ 6, 3, 7 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 0 1 1)
(0 0 1 0 0 0 1 1)
(0 0 1 1 1 1 0 1)
(0 0 0 0 1 0 0 0)
(0 0 1 0 0 1 0 1)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 136 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 458 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 215 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 5 -> Algebra 202 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 62 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 564 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 213
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 6 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 6, 4 ], [ 7, 6 ]
Relations
[ 6, 4, 3 ]
[ 3, 6, 4 ]
[ 4, 3, 6 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 1 0 1)
(0 0 1 0 0 1 0 1)
(0 0 1 1 1 0 0 1)
(0 0 0 0 1 0 0 0)
(0 0 0 1 1 1 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 137 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 459 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 64 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 203 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 565 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 62 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 566 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 214
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 6 ], [ 4, 3 ], [ 4, 5 ], [ 6, 4 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 6, 4, 3 ]
[ 3, 6, 4 ]
[ 4, 3, 6 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 1 1 0)
(0 0 1 0 0 1 1 0)
(0 0 1 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 1 0 0 1 1 1)
Good mutations
vertex 1 -> Algebra 138 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 460 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 567 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 65 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 204 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 564 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 566 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 62 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 215
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 7 ], [ 3, 8 ], [ 4, 3 ], [ 4, 6 ], [ 5, 6 ], [ 7, 4 ]
Relations
[ 7, 4, 3 ]
[ 3, 7, 4 ]
[ 4, 3, 7 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 0 1 1)
(0 0 1 0 0 0 1 1)
(0 0 1 1 0 1 0 1)
(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 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 139 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 461 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 63 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 221 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 212 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 8 -> Algebra 570 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 217
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 4, 7 ], [ 5, 6 ], [ 6, 4 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 7, 6, 4 ]
[ 4, 7, 6 ]
[ 6, 4, 7 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 0 0 1 0)
(0 0 1 1 0 0 1 0)
(0 0 0 1 0 0 1 0)
(0 0 0 1 1 1 0 0)
(0 0 0 1 0 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 1 1 0 0 1 1)
Good mutations
vertex 1 -> Algebra 141 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 463 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 570 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 223 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 65 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 63 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 218
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 5, 6 ], [ 6, 4 ], [ 6, 7 ], [ 7, 5 ]
Relations
[ 6, 7, 5 ]
[ 7, 5, 6 ]
[ 5, 6, 7 ]
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 0 0)
(0 0 0 1 0 1 1 0)
(0 0 0 0 1 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 142 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 464 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 574 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 64 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 575 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 219
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 0 1 0 0)
(0 0 1 1 0 1 0 0)
(0 0 0 1 0 1 0 0)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 1 1 0 1 0 1)
Good mutations
vertex 1 -> Algebra 143 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 465 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 566 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 575 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 65 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 64 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 221
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 7 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 5, 6 ], [ 7, 4 ]
Relations
[ 7, 4, 3 ]
[ 3, 7, 4 ]
[ 4, 3, 7 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 0 1 1)
(0 0 1 0 0 0 1 1)
(0 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 1 1 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 145 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 467 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 66 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 215 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 580 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 223
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 4, 7 ], [ 5, 4 ], [ 5, 6 ], [ 7, 5 ], [ 8, 3 ]
Relations
[ 7, 5, 4 ]
[ 4, 7, 5 ]
[ 5, 4, 7 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 0 0 1 0)
(0 0 1 1 0 0 1 0)
(0 0 0 1 0 0 1 0)
(0 0 0 1 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 1 1 0 0 1 1)
Good mutations
vertex 1 -> Algebra 147 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 469 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 580 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 68 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 217 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 66 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 229
Quiver
[ 2, 1 ], [ 2, 4 ], [ 3, 2 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 5, 6 ], [ 7, 6 ], [ 8, 4 ]
Relations
[ 4, 3, 2 ]
[ 2, 4, 3 ]
[ 8, 4, 3 ]
[ 4, 3, 8 ]
[ 3, 2, 4 ] - [ 3, 8, 4 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 1 1 1 0 0)
(1 1 1 1 1 1 0 1)
(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 0 1 1 1 0 1)
Good mutations
vertex 1 -> Algebra 153 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 591 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 589 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 71 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 231
Quiver
[ 2, 1 ], [ 2, 5 ], [ 3, 4 ], [ 4, 2 ], [ 4, 8 ], [ 5, 4 ], [ 5, 6 ], [ 6, 7 ], [ 8, 5 ]
Relations
[ 5, 4, 2 ]
[ 2, 5, 4 ]
[ 8, 5, 4 ]
[ 5, 4, 8 ]
[ 4, 2, 5 ] - [ 4, 8, 5 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 0 1 1 1 0)
(1 1 1 1 1 1 1 1)
(1 1 0 1 1 1 1 1)
(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 1 1 1 1)
Good mutations
vertex 1 -> Algebra 155 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 210 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 4 -> Algebra 71 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 594 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 591 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 233
Quiver
[ 1, 2 ], [ 1, 3 ], [ 4, 3 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
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 0 1 1 0)
(0 0 1 1 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 253 permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 157 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 74 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 554 permutation [ 2, 1, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 595 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 596 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 553 permutation [ 2, 1, 3, 5, 4, 6, 7, 8 ]
Algebra 234
Quiver
[ 1, 2 ], [ 1, 3 ], [ 4, 3 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
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 1 0)
(0 0 0 0 1 0 1 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 254 permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 158 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 75 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 575 permutation [ 2, 1, 3, 4, 6, 5, 7, 8 ]
vertex 5 -> Algebra 597 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 574 permutation [ 2, 1, 3, 4, 6, 5, 7, 8 ]
Algebra 237
Quiver
[ 1, 2 ], [ 1, 3 ], [ 3, 4 ], [ 4, 1 ], [ 4, 8 ], [ 5, 3 ], [ 5, 6 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 3, 4, 1 ]
[ 1, 3, 4 ]
[ 8, 3, 4 ]
[ 3, 4, 8 ]
[ 4, 1, 3 ] - [ 4, 8, 3 ]
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 0 1 1 0 0 0 0)
(1 1 1 1 0 0 0 1)
(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 1 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 161 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 73 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 589 permutation [ 2, 1, 4, 3, 5, 6, 7, 8 ]
vertex 7 -> Algebra 601 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 238
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 6 ], [ 3, 8 ], [ 4, 5 ], [ 5, 3 ], [ 6, 5 ], [ 6, 7 ]
Relations
[ 6, 5, 3 ]
[ 3, 6, 5 ]
[ 5, 3, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 0 1 1 1)
(1 1 1 1 1 0 0 1)
(1 1 1 0 1 0 0 1)
(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 162 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 603 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 242 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 73 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 604 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 605 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 606 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 240
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 5 ], [ 3, 8 ], [ 4, 3 ], [ 5, 4 ], [ 5, 6 ], [ 7, 6 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 1 1 0 1)
(1 1 1 1 0 0 0 1)
(0 0 0 1 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 164 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 601 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 605 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 610 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 73 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 611 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 241
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 5 ], [ 4, 3 ], [ 5, 4 ], [ 5, 6 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 1 1 1 0)
(1 1 1 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 0 1 1 1 1)
Good mutations
vertex 2 -> Algebra 165 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 606 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 611 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 73 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 242
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 6 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 6, 4 ], [ 6, 7 ]
Relations
[ 6, 4, 3 ]
[ 3, 6, 4 ]
[ 4, 3, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 0 1 1 1)
(1 1 1 1 1 0 0 1)
(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 0 1)
Good mutations
vertex 2 -> Algebra 166 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 613 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 74 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 238 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 614 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 615 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 616 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 243
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 3, 8 ], [ 4, 7 ], [ 5, 6 ], [ 6, 4 ], [ 7, 6 ]
Relations
[ 7, 6, 4 ]
[ 4, 7, 6 ]
[ 6, 4, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 0 0 1 1)
(0 0 0 1 0 0 1 0)
(0 0 0 1 1 1 0 0)
(0 0 0 1 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 167 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 595 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 617 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 246 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 74 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 619 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 244
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 3, 8 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 7, 6 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 0 1 0 1)
(0 0 0 1 0 1 0 0)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 168 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 596 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 615 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 620 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 74 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 621 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 245
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 0 1 1 0)
(0 0 0 1 0 1 1 0)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(1 1 1 1 0 1 1 1)
Good mutations
vertex 2 -> Algebra 169 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 616 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 619 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 621 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 74 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 246
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 3, 8 ], [ 4, 7 ], [ 5, 4 ], [ 5, 6 ], [ 7, 5 ]
Relations
[ 7, 5, 4 ]
[ 4, 7, 5 ]
[ 5, 4, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 0 0 1 1)
(0 0 0 1 0 0 1 0)
(0 0 0 1 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 170 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 597 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 623 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 75 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 243 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 625 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 248
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 1 0 1 0)
(0 0 0 1 1 0 1 0)
(0 0 0 0 1 0 1 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 1 0)
(1 1 1 1 1 0 1 1)
Good mutations
vertex 2 -> Algebra 172 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 625 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 75 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 253
Quiver
[ 1, 3 ], [ 2, 3 ], [ 4, 1 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ], [ 8, 1 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
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 1 1 0)
(1 0 1 1 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 309 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 233 permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 635 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 636 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 637 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 638 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 254
Quiver
[ 1, 3 ], [ 2, 3 ], [ 4, 1 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 1 ]
Relations
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
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 1 0)
(0 0 0 0 1 0 1 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 1 0)
(1 0 1 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 310 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 234 permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 633 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 639 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 641 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 271
Quiver
[ 1, 8 ], [ 2, 3 ], [ 3, 8 ], [ 4, 1 ], [ 4, 3 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ], [ 8, 4 ]
Relations
[ 8, 4, 1 ]
[ 8, 4, 3 ]
[ 1, 8, 4 ]
[ 3, 8, 4 ]
[ 4, 1, 8 ] - [ 4, 3, 8 ]
Cartan matrix
(1 0 0 0 0 0 0 1)
(0 1 1 0 0 0 0 1)
(0 0 1 0 0 0 0 1)
(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 1 1 1 1 1)
Good mutations
vertex 2 -> Algebra 327 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 423 permutation [ 2, 3, 4, 5, 6, 7, 8, 1 ]
vertex 7 -> Algebra 672 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 309
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 1 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ], [ 8, 1 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
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 1 1 0)
(1 1 1 1 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 253 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 741 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 742 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 743 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 744 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 310
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 1 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 1 ]
Relations
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
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 1 0)
(0 0 0 0 1 0 1 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 1 0)
(1 1 1 0 0 0 0 1)
Good mutations
vertex 3 -> Algebra 254 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 739 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 745 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 747 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 327
Quiver
[ 1, 8 ], [ 2, 3 ], [ 2, 8 ], [ 4, 1 ], [ 4, 2 ], [ 4, 5 ], [ 5, 6 ], [ 6, 7 ], [ 8, 4 ]
Relations
[ 8, 4, 1 ]
[ 8, 4, 2 ]
[ 1, 8, 4 ]
[ 2, 8, 4 ]
[ 4, 1, 8 ] - [ 4, 2, 8 ]
Cartan matrix
(1 0 0 0 0 0 0 1)
(0 1 1 0 0 0 0 1)
(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 1 1 1 1 1)
Good mutations
vertex 3 -> Algebra 271 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 580 permutation [ 3, 2, 4, 5, 6, 7, 8, 1 ]
vertex 7 -> Algebra 778 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 386
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 7 ], [ 4, 5 ], [ 5, 6 ], [ 6, 3 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 7, 6, 3 ]
[ 3, 7, 6 ]
[ 6, 3, 7 ]
Cartan matrix
(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 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 1 1 0)
(0 0 1 0 0 0 1 1)
Good mutations
vertex 1 -> Algebra 543 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 899 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 407 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 128 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 126 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 387
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 6, 3 ], [ 6, 7 ], [ 7, 5 ]
Relations
[ 6, 7, 5 ]
[ 7, 5, 6 ]
[ 5, 6, 7 ]
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 0 1)
(0 0 1 0 1 1 0 1)
(0 0 1 0 0 1 1 1)
(0 0 0 0 1 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 544 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 408 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 396 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 127 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 439 permutation [ 1, 2, 3, 6, 4, 5, 7, 8 ]
Algebra 388
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 6 ], [ 4, 5 ], [ 5, 3 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 6, 5, 3 ]
[ 3, 6, 5 ]
[ 5, 3, 6 ]
Cartan matrix
(1 1 1 0 0 1 0 0)
(0 1 1 0 0 1 0 0)
(0 0 1 0 0 1 0 0)
(0 0 1 1 1 0 0 0)
(0 0 1 0 1 0 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 1 0 0 1 0 1)
Good mutations
vertex 1 -> Algebra 545 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 901 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 409 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 133 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 439 permutation [ 1, 2, 3, 6, 4, 5, 7, 8 ]
vertex 7 -> Algebra 128 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 127 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 389
Quiver
[ 1, 2 ], [ 2, 6 ], [ 3, 2 ], [ 3, 5 ], [ 3, 8 ], [ 4, 5 ], [ 6, 3 ], [ 6, 7 ], [ 8, 6 ]
Relations
[ 6, 3, 2 ]
[ 2, 6, 3 ]
[ 8, 6, 3 ]
[ 6, 3, 8 ]
[ 3, 2, 6 ] - [ 3, 8, 6 ]
Cartan matrix
(1 1 0 0 0 1 1 0)
(0 1 0 0 0 1 1 0)
(0 1 1 0 1 1 1 1)
(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 1 1 1)
Good mutations
vertex 1 -> Algebra 546 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 128 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 410 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 400 permutation [ 1, 2, 5, 4, 3, 6, 7, 8 ]
vertex 6 -> Algebra 902 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 901 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 391
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 5, 7 ], [ 6, 4 ], [ 7, 3 ]
Relations
[ 5, 6, 4 ]
[ 6, 4, 5 ]
[ 4, 5, 6 ]
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 1 0 1 1 1 1)
(0 0 0 1 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 548 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 393 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 8 -> Algebra 904 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 393
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 8 ], [ 4, 5 ], [ 5, 3 ], [ 5, 7 ], [ 6, 7 ], [ 7, 4 ]
Relations
[ 5, 7, 4 ]
[ 7, 4, 5 ]
[ 4, 5, 7 ]
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 0 1)
(0 0 1 0 1 0 1 1)
(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 550 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 130 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 396 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 7 -> Algebra 391 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 8 -> Algebra 440 permutation [ 1, 2, 3, 5, 4, 7, 6, 8 ]
Algebra 394
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 5 ], [ 4, 3 ], [ 5, 4 ], [ 6, 7 ], [ 7, 5 ], [ 8, 3 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 1 1 0 1 0 0 0)
(0 1 1 0 1 0 0 0)
(0 0 1 0 1 0 0 0)
(0 0 1 1 0 0 0 0)
(0 0 0 1 1 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 1 1 0 1 0)
(0 0 1 0 1 0 0 1)
Good mutations
vertex 1 -> Algebra 551 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 906 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 440 permutation [ 1, 2, 3, 5, 4, 7, 6, 8 ]
vertex 6 -> Algebra 397 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 130 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 396
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 8 ], [ 4, 5 ], [ 5, 3 ], [ 5, 6 ], [ 6, 4 ], [ 6, 7 ]
Relations
[ 5, 6, 4 ]
[ 6, 4, 5 ]
[ 4, 5, 6 ]
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 0 1)
(0 0 1 0 1 1 1 1)
(0 0 0 1 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 553 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 132 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 387 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 7 -> Algebra 393 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 157 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
Algebra 397
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 5 ], [ 4, 3 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 1 1 0 1 0 0 0)
(0 1 1 0 1 0 0 0)
(0 0 1 0 1 0 0 0)
(0 0 1 1 0 0 0 0)
(0 0 0 1 1 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 1 0 1 0 0 1)
Good mutations
vertex 1 -> Algebra 554 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 457 permutation [ 1, 2, 5, 3, 4, 6, 7, 8 ]
vertex 5 -> Algebra 157 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 133 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 394 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 132 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 398
Quiver
[ 1, 2 ], [ 2, 5 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 5, 3 ], [ 5, 6 ], [ 7, 6 ], [ 8, 5 ]
Relations
[ 5, 3, 2 ]
[ 2, 5, 3 ]
[ 8, 5, 3 ]
[ 5, 3, 8 ]
[ 3, 2, 5 ] - [ 3, 8, 5 ]
Cartan matrix
(1 1 0 0 1 1 0 0)
(0 1 0 0 1 1 0 0)
(0 1 1 1 1 1 0 1)
(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 0)
(0 0 0 0 1 1 0 1)
Good mutations
vertex 1 -> Algebra 555 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 133 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 434 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 5 -> Algebra 910 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 457 permutation [ 1, 2, 5, 3, 4, 6, 7, 8 ]
vertex 7 -> Algebra 134 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 400
Quiver
[ 1, 2 ], [ 2, 6 ], [ 3, 4 ], [ 3, 5 ], [ 5, 2 ], [ 5, 8 ], [ 6, 5 ], [ 6, 7 ], [ 8, 6 ]
Relations
[ 6, 5, 2 ]
[ 2, 6, 5 ]
[ 8, 6, 5 ]
[ 6, 5, 8 ]
[ 5, 2, 6 ] - [ 5, 8, 6 ]
Cartan matrix
(1 1 0 0 0 1 1 0)
(0 1 0 0 0 1 1 0)
(0 1 1 1 1 1 1 1)
(0 0 0 1 0 0 0 0)
(0 1 0 0 1 1 1 1)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 1 1 1)
Good mutations
vertex 1 -> Algebra 557 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 389 permutation [ 1, 2, 5, 4, 3, 6, 7, 8 ]
vertex 4 -> Algebra 438 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 5 -> Algebra 134 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 914 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 910 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 407
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 7 ], [ 4, 5 ], [ 4, 6 ], [ 6, 3 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 7, 6, 3 ]
[ 3, 7, 6 ]
[ 6, 3, 7 ]
Cartan matrix
(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 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 1 1 0)
(0 0 1 0 0 0 1 1)
Good mutations
vertex 1 -> Algebra 564 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 924 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 413 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 5 -> Algebra 386 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 138 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 136 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 408
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 8 ], [ 4, 5 ], [ 4, 6 ], [ 6, 3 ], [ 6, 7 ], [ 7, 4 ]
Relations
[ 6, 7, 4 ]
[ 7, 4, 6 ]
[ 4, 6, 7 ]
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 0 1)
(0 0 0 0 1 0 0 0)
(0 0 1 0 0 1 1 1)
(0 0 0 1 1 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 565 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 417 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 5 -> Algebra 387 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 137 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 441 permutation [ 1, 2, 3, 6, 4, 5, 7, 8 ]
Algebra 409
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 6 ], [ 4, 3 ], [ 4, 5 ], [ 6, 4 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 6, 4, 3 ]
[ 3, 6, 4 ]
[ 4, 3, 6 ]
Cartan matrix
(1 1 1 0 0 1 0 0)
(0 1 1 0 0 1 0 0)
(0 0 1 0 0 1 0 0)
(0 0 1 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 1 1 1 0 0)
(0 0 0 1 1 1 1 0)
(0 0 1 0 0 1 0 1)
Good mutations
vertex 1 -> Algebra 566 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 926 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 143 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 388 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 441 permutation [ 1, 2, 3, 6, 4, 5, 7, 8 ]
vertex 7 -> Algebra 138 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 137 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 410
Quiver
[ 1, 2 ], [ 2, 6 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 6, 3 ], [ 6, 7 ], [ 8, 6 ]
Relations
[ 6, 3, 2 ]
[ 2, 6, 3 ]
[ 8, 6, 3 ]
[ 6, 3, 8 ]
[ 3, 2, 6 ] - [ 3, 8, 6 ]
Cartan matrix
(1 1 0 0 0 1 1 0)
(0 1 0 0 0 1 1 0)
(0 1 1 1 1 1 1 1)
(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 1 1 1)
Good mutations
vertex 1 -> Algebra 567 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 138 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 389 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 782 permutation [ 6, 8, 1, 7, 3, 4, 5, 2 ]
vertex 7 -> Algebra 926 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 413
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 7 ], [ 4, 3 ], [ 4, 6 ], [ 5, 6 ], [ 7, 4 ], [ 8, 3 ]
Relations
[ 7, 4, 3 ]
[ 3, 7, 4 ]
[ 4, 3, 7 ]
Cartan matrix
(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 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 1 0 1 1 0)
(0 0 1 0 0 0 1 1)
Good mutations
vertex 1 -> Algebra 570 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 672 permutation [ 8, 1, 2, 3, 4, 6, 5, 7 ]
vertex 4 -> Algebra 141 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 423 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 407 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 8 -> Algebra 139 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 417
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 8 ], [ 4, 3 ], [ 4, 6 ], [ 5, 6 ], [ 6, 7 ], [ 7, 5 ]
Relations
[ 6, 7, 5 ]
[ 7, 5, 6 ]
[ 5, 6, 7 ]
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 1 0)
(0 0 0 0 1 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 574 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 142 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 408 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 8 -> Algebra 158 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
Algebra 418
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 5, 6 ], [ 6, 4 ], [ 6, 7 ], [ 7, 5 ], [ 8, 3 ]
Relations
[ 6, 7, 5 ]
[ 7, 5, 6 ]
[ 5, 6, 7 ]
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 0 0)
(0 0 0 1 0 1 1 0)
(0 0 0 0 1 0 1 0)
(0 0 1 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 575 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 158 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 143 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 142 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 423
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 7 ], [ 4, 3 ], [ 4, 5 ], [ 5, 6 ], [ 7, 4 ], [ 8, 3 ]
Relations
[ 7, 4, 3 ]
[ 3, 7, 4 ]
[ 4, 3, 7 ]
Cartan matrix
(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 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 1 1 1 1 0)
(0 0 1 0 0 0 1 1)
Good mutations
vertex 1 -> Algebra 580 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 271 permutation [ 8, 1, 2, 3, 4, 5, 6, 7 ]
vertex 4 -> Algebra 147 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 413 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 145 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 429
Quiver
[ 1, 2 ], [ 2, 4 ], [ 3, 2 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 6, 7 ], [ 7, 5 ], [ 8, 4 ]
Relations
[ 4, 3, 2 ]
[ 2, 4, 3 ]
[ 8, 4, 3 ]
[ 4, 3, 8 ]
[ 3, 2, 4 ] - [ 3, 8, 4 ]
Cartan matrix
(1 1 0 1 1 0 0 0)
(0 1 0 1 1 0 0 0)
(0 1 1 1 1 0 0 1)
(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 0 1 1 0 0 1)
Good mutations
vertex 1 -> Algebra 586 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 942 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 445 permutation [ 1, 2, 4, 3, 5, 7, 6, 8 ]
vertex 6 -> Algebra 432 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
Algebra 432
Quiver
[ 1, 2 ], [ 2, 4 ], [ 3, 2 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 6, 5 ], [ 6, 7 ], [ 8, 4 ]
Relations
[ 4, 3, 2 ]
[ 2, 4, 3 ]
[ 8, 4, 3 ]
[ 4, 3, 8 ]
[ 3, 2, 4 ] - [ 3, 8, 4 ]
Cartan matrix
(1 1 0 1 1 0 0 0)
(0 1 0 1 1 0 0 0)
(0 1 1 1 1 0 0 1)
(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 0 1 1 0 0 1)
Good mutations
vertex 1 -> Algebra 589 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 447 permutation [ 1, 2, 5, 3, 4, 6, 7, 8 ]
vertex 5 -> Algebra 161 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 6 -> Algebra 153 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 429 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
Algebra 434
Quiver
[ 1, 2 ], [ 2, 5 ], [ 3, 4 ], [ 4, 2 ], [ 4, 8 ], [ 5, 4 ], [ 5, 6 ], [ 7, 6 ], [ 8, 5 ]
Relations
[ 5, 4, 2 ]
[ 2, 5, 4 ]
[ 8, 5, 4 ]
[ 5, 4, 8 ]
[ 4, 2, 5 ] - [ 4, 8, 5 ]
Cartan matrix
(1 1 0 0 1 1 0 0)
(0 1 0 0 1 1 0 0)
(0 1 1 1 1 1 0 1)
(0 1 0 1 1 1 0 1)
(0 0 0 1 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 1 1 0 1)
Good mutations
vertex 1 -> Algebra 591 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 398 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 4 -> Algebra 153 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 950 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 447 permutation [ 1, 2, 5, 3, 4, 6, 7, 8 ]
vertex 7 -> Algebra 155 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 438
Quiver
[ 1, 2 ], [ 2, 6 ], [ 3, 4 ], [ 4, 5 ], [ 5, 2 ], [ 5, 8 ], [ 6, 5 ], [ 6, 7 ], [ 8, 6 ]
Relations
[ 6, 5, 2 ]
[ 2, 6, 5 ]
[ 8, 6, 5 ]
[ 6, 5, 8 ]
[ 5, 2, 6 ] - [ 5, 8, 6 ]
Cartan matrix
(1 1 0 0 0 1 1 0)
(0 1 0 0 0 1 1 0)
(0 1 1 1 1 1 1 1)
(0 1 0 1 1 1 1 1)
(0 1 0 0 1 1 1 1)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 1 1 1)
Good mutations
vertex 1 -> Algebra 594 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 400 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 5 -> Algebra 155 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 957 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 950 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 439
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 3 ], [ 4, 7 ], [ 5, 6 ], [ 6, 4 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 7, 6, 4 ]
[ 4, 7, 6 ]
[ 6, 4, 7 ]
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 0 1 0)
(0 0 1 1 1 1 0 0)
(0 0 1 1 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 595 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 167 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 388 permutation [ 1, 2, 3, 5, 6, 4, 7, 8 ]
vertex 5 -> Algebra 441 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 157 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 387 permutation [ 1, 2, 3, 5, 6, 4, 7, 8 ]
Algebra 440
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 3 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
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 0 0)
(0 0 1 1 1 0 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 596 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 168 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 394 permutation [ 1, 2, 3, 5, 4, 7, 6, 8 ]
vertex 6 -> Algebra 904 permutation [ 1, 2, 3, 5, 6, 7, 4, 8 ]
vertex 7 -> Algebra 157 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 393 permutation [ 1, 2, 3, 5, 4, 7, 6, 8 ]
Algebra 441
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 3 ], [ 4, 7 ], [ 5, 4 ], [ 5, 6 ], [ 7, 5 ], [ 8, 3 ]
Relations
[ 7, 5, 4 ]
[ 4, 7, 5 ]
[ 5, 4, 7 ]
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 0 1 0)
(0 0 1 1 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 597 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 170 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 409 permutation [ 1, 2, 3, 5, 6, 4, 7, 8 ]
vertex 5 -> Algebra 158 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 439 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 408 permutation [ 1, 2, 3, 5, 6, 4, 7, 8 ]
Algebra 445
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 4, 2 ], [ 4, 8 ], [ 5, 3 ], [ 5, 6 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 3, 4, 2 ]
[ 2, 3, 4 ]
[ 8, 3, 4 ]
[ 3, 4, 8 ]
[ 4, 2, 3 ] - [ 4, 8, 3 ]
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 1 0 0 0 0)
(0 1 1 1 0 0 0 1)
(0 0 1 1 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 601 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 164 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 429 permutation [ 1, 2, 4, 3, 5, 7, 6, 8 ]
vertex 6 -> Algebra 939 permutation [ 1, 2, 4, 3, 6, 7, 5, 8 ]
vertex 7 -> Algebra 161 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 447
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 5 ], [ 4, 5 ], [ 5, 2 ], [ 5, 8 ], [ 6, 3 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 3, 5, 2 ]
[ 2, 3, 5 ]
[ 8, 3, 5 ]
[ 3, 5, 8 ]
[ 5, 2, 3 ] - [ 5, 8, 3 ]
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 1 0 0 0)
(0 1 1 1 1 0 0 1)
(0 1 1 0 1 0 0 1)
(0 0 1 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 603 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 162 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 457 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 432 permutation [ 1, 2, 4, 5, 3, 6, 7, 8 ]
vertex 6 -> Algebra 434 permutation [ 1, 2, 4, 5, 3, 6, 7, 8 ]
vertex 7 -> Algebra 942 permutation [ 1, 2, 4, 5, 3, 7, 6, 8 ]
Algebra 448
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 7 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 6, 3 ], [ 7, 6 ]
Relations
[ 7, 6, 3 ]
[ 3, 7, 6 ]
[ 6, 3, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 0 0 0 1 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 0 0 0 0 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 604 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 202 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 950 permutation [ 1, 2, 4, 5, 6, 3, 7, 8 ]
vertex 4 -> Algebra 458 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 162 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 961 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 449
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 6 ], [ 3, 8 ], [ 4, 5 ], [ 5, 3 ], [ 6, 5 ], [ 7, 6 ]
Relations
[ 6, 5, 3 ]
[ 3, 6, 5 ]
[ 5, 3, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 0 0 1 0 1)
(0 1 1 1 1 0 0 1)
(0 1 1 0 1 0 0 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 605 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 203 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 942 permutation [ 1, 2, 4, 5, 3, 7, 6, 8 ]
vertex 4 -> Algebra 459 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 164 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 962 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 162 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 963 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 450
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 6 ], [ 4, 5 ], [ 5, 3 ], [ 6, 5 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 6, 5, 3 ]
[ 3, 6, 5 ]
[ 5, 3, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 0 0 1 1 0)
(0 1 1 1 1 0 0 0)
(0 1 1 0 1 0 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(0 1 1 0 0 1 1 1)
Good mutations
vertex 1 -> Algebra 606 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 204 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 460 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 165 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 961 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 963 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 162 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 452
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 5 ], [ 3, 8 ], [ 4, 3 ], [ 5, 4 ], [ 6, 7 ], [ 7, 5 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 0 1 0 0 1)
(0 1 1 1 0 0 0 1)
(0 0 0 1 1 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 1 1 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 608 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 206 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 930 permutation [ 1, 2, 4, 3, 6, 7, 5, 8 ]
vertex 5 -> Algebra 967 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 454 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 968 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 454
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 5 ], [ 3, 8 ], [ 4, 3 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 0 1 0 0 1)
(0 1 1 1 0 0 0 1)
(0 0 0 1 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 0 1)
Good mutations
vertex 1 -> Algebra 610 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 208 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 939 permutation [ 1, 2, 4, 3, 6, 7, 5, 8 ]
vertex 5 -> Algebra 638 permutation [ 3, 1, 2, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 164 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 452 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 635 permutation [ 3, 1, 2, 5, 4, 6, 7, 8 ]
Algebra 455
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 5 ], [ 4, 3 ], [ 5, 4 ], [ 5, 6 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(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 1 1 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)
(0 1 1 0 1 1 0 1)
Good mutations
vertex 1 -> Algebra 611 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 209 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 963 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 635 permutation [ 3, 1, 2, 5, 4, 6, 7, 8 ]
vertex 7 -> Algebra 165 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 164 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 457
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 4, 2 ], [ 4, 5 ], [ 4, 8 ], [ 6, 3 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 3, 4, 2 ]
[ 2, 3, 4 ]
[ 8, 3, 4 ]
[ 3, 4, 8 ]
[ 4, 2, 3 ] - [ 4, 8, 3 ]
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 1 1 0 0 0)
(0 1 1 1 1 0 0 1)
(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 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 613 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 166 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 397 permutation [ 1, 2, 4, 5, 3, 6, 7, 8 ]
vertex 5 -> Algebra 447 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 398 permutation [ 1, 2, 4, 5, 3, 6, 7, 8 ]
vertex 7 -> Algebra 906 permutation [ 1, 2, 4, 5, 3, 7, 6, 8 ]
Algebra 458
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 7 ], [ 3, 8 ], [ 4, 5 ], [ 4, 6 ], [ 6, 3 ], [ 7, 6 ]
Relations
[ 7, 6, 3 ]
[ 3, 7, 6 ]
[ 6, 3, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 0 0 0 1 1)
(0 1 1 1 1 1 0 1)
(0 0 0 0 1 0 0 0)
(0 1 1 0 0 1 0 1)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 614 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 212 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 910 permutation [ 1, 2, 4, 5, 6, 3, 7, 8 ]
vertex 4 -> Algebra 461 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 5 -> Algebra 448 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 166 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 973 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 459
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 6 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 6, 4 ], [ 7, 6 ]
Relations
[ 6, 4, 3 ]
[ 3, 6, 4 ]
[ 4, 3, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 0 0 1 0 1)
(0 1 1 1 1 0 0 1)
(0 0 0 0 1 0 0 0)
(0 0 0 1 1 1 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 615 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 213 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 906 permutation [ 1, 2, 4, 5, 3, 7, 6, 8 ]
vertex 4 -> Algebra 168 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 449 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 974 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 166 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 975 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 460
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 6 ], [ 4, 3 ], [ 4, 5 ], [ 6, 4 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 6, 4, 3 ]
[ 3, 6, 4 ]
[ 4, 3, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 0 0 1 1 0)
(0 1 1 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 1 1 0 0 1 1 1)
Good mutations
vertex 1 -> Algebra 616 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 214 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 169 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 450 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 973 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 975 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 166 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 461
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 7 ], [ 3, 8 ], [ 4, 3 ], [ 4, 6 ], [ 5, 6 ], [ 7, 4 ]
Relations
[ 7, 4, 3 ]
[ 3, 7, 4 ]
[ 4, 3, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 0 0 0 1 1)
(0 1 1 1 0 1 0 1)
(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 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 617 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 215 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 901 permutation [ 1, 2, 4, 5, 6, 3, 7, 8 ]
vertex 4 -> Algebra 167 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 467 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 458 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 8 -> Algebra 978 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 463
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 4, 7 ], [ 5, 6 ], [ 6, 4 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 7, 6, 4 ]
[ 4, 7, 6 ]
[ 6, 4, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 0 0 1 0)
(0 0 0 1 0 0 1 0)
(0 0 0 1 1 1 0 0)
(0 0 0 1 0 1 0 0)
(0 0 0 0 0 1 1 0)
(0 1 1 1 0 0 1 1)
Good mutations
vertex 1 -> Algebra 619 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 217 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 978 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 469 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 169 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 167 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 464
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 5, 6 ], [ 6, 4 ], [ 6, 7 ], [ 7, 5 ]
Relations
[ 6, 7, 5 ]
[ 7, 5, 6 ]
[ 5, 6, 7 ]
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 0 0)
(0 0 0 1 0 1 1 0)
(0 0 0 0 1 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 620 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 218 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 904 permutation [ 1, 2, 3, 5, 6, 7, 4, 8 ]
vertex 4 -> Algebra 641 permutation [ 3, 1, 2, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 168 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 633 permutation [ 3, 1, 2, 4, 6, 5, 7, 8 ]
Algebra 465
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 0 1 0 0)
(0 0 0 1 0 1 0 0)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(0 1 1 1 0 1 0 1)
Good mutations
vertex 1 -> Algebra 621 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 219 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 975 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 633 permutation [ 3, 1, 2, 4, 6, 5, 7, 8 ]
vertex 7 -> Algebra 169 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 168 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 467
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 7 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 5, 6 ], [ 7, 4 ]
Relations
[ 7, 4, 3 ]
[ 3, 7, 4 ]
[ 4, 3, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 0 0 0 1 1)
(0 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 1 1 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 623 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 221 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 926 permutation [ 1, 2, 4, 5, 6, 3, 7, 8 ]
vertex 4 -> Algebra 170 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 461 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 982 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 469
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 4 ], [ 4, 7 ], [ 5, 4 ], [ 5, 6 ], [ 7, 5 ], [ 8, 3 ]
Relations
[ 7, 5, 4 ]
[ 4, 7, 5 ]
[ 5, 4, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 1 0 0 1 0)
(0 0 0 1 0 0 1 0)
(0 0 0 1 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 1 1 1 0)
(0 1 1 1 0 0 1 1)
Good mutations
vertex 1 -> Algebra 625 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 223 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 982 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 172 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 463 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 170 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 543
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 7 ], [ 4, 5 ], [ 5, 6 ], [ 6, 3 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 7, 6, 3 ]
[ 3, 7, 6 ]
[ 6, 3, 7 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 0 1 0)
(0 0 1 0 0 0 1 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 1 1 0)
(0 0 1 0 0 0 1 1)
Good mutations
vertex 1 -> Algebra 386 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 961 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1074 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 564 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 204 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 202 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 544
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 6, 3 ], [ 6, 7 ], [ 7, 5 ]
Relations
[ 6, 7, 5 ]
[ 7, 5, 6 ]
[ 5, 6, 7 ]
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 0 1)
(0 0 1 0 1 1 0 1)
(0 0 1 0 0 1 1 1)
(0 0 0 0 1 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 387 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 962 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 565 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 553 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 203 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 595 permutation [ 2, 1, 3, 6, 4, 5, 7, 8 ]
Algebra 545
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 6 ], [ 4, 5 ], [ 5, 3 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 6, 5, 3 ]
[ 3, 6, 5 ]
[ 5, 3, 6 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 1 0 0)
(0 0 1 0 0 1 0 0)
(0 0 1 1 1 0 0 0)
(0 0 1 0 1 0 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 1 0 0 1 0 1)
Good mutations
vertex 1 -> Algebra 388 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 963 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1076 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 566 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 209 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 595 permutation [ 2, 1, 3, 6, 4, 5, 7, 8 ]
vertex 7 -> Algebra 204 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 203 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 546
Quiver
[ 2, 1 ], [ 2, 6 ], [ 3, 2 ], [ 3, 5 ], [ 3, 8 ], [ 4, 5 ], [ 6, 3 ], [ 6, 7 ], [ 8, 6 ]
Relations
[ 6, 3, 2 ]
[ 2, 6, 3 ]
[ 8, 6, 3 ]
[ 6, 3, 8 ]
[ 3, 2, 6 ] - [ 3, 8, 6 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 0 0 1 1 0)
(1 1 1 0 1 1 1 1)
(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 1 1 1)
Good mutations
vertex 1 -> Algebra 389 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 204 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 567 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 557 permutation [ 1, 2, 5, 4, 3, 6, 7, 8 ]
vertex 6 -> Algebra 1078 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 1076 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 548
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 5, 7 ], [ 6, 4 ], [ 7, 3 ]
Relations
[ 5, 6, 4 ]
[ 6, 4, 5 ]
[ 4, 5, 6 ]
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 1 0 1 1 1 1)
(0 0 0 1 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 391 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 965 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 550 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 8 -> Algebra 1080 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 550
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 8 ], [ 4, 5 ], [ 5, 3 ], [ 5, 7 ], [ 6, 7 ], [ 7, 4 ]
Relations
[ 5, 7, 4 ]
[ 7, 4, 5 ]
[ 4, 5, 7 ]
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 0 1)
(0 0 1 0 1 0 1 1)
(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 393 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 967 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 206 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 553 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 7 -> Algebra 548 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 8 -> Algebra 596 permutation [ 2, 1, 3, 5, 4, 7, 6, 8 ]
Algebra 551
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 5 ], [ 4, 3 ], [ 5, 4 ], [ 6, 7 ], [ 7, 5 ], [ 8, 3 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 1 0 0 0)
(0 0 1 0 1 0 0 0)
(0 0 1 1 0 0 0 0)
(0 0 0 1 1 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 1 1 0 1 0)
(0 0 1 0 1 0 0 1)
Good mutations
vertex 1 -> Algebra 394 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 968 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1082 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 596 permutation [ 2, 1, 3, 5, 4, 7, 6, 8 ]
vertex 6 -> Algebra 554 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 206 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 553
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 8 ], [ 4, 5 ], [ 5, 3 ], [ 5, 6 ], [ 6, 4 ], [ 6, 7 ]
Relations
[ 5, 6, 4 ]
[ 6, 4, 5 ]
[ 4, 5, 6 ]
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 0 1)
(0 0 1 0 1 1 1 1)
(0 0 0 1 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 396 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 638 permutation [ 3, 1, 2, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 208 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 544 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 7 -> Algebra 550 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 233 permutation [ 2, 1, 3, 5, 4, 6, 7, 8 ]
Algebra 554
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 5 ], [ 4, 3 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 1 0 0 0)
(0 0 1 0 1 0 0 0)
(0 0 1 1 0 0 0 0)
(0 0 0 1 1 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 1 0 1 0 0 1)
Good mutations
vertex 1 -> Algebra 397 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 635 permutation [ 3, 1, 2, 5, 4, 6, 7, 8 ]
vertex 3 -> Algebra 613 permutation [ 2, 1, 5, 3, 4, 6, 7, 8 ]
vertex 5 -> Algebra 233 permutation [ 2, 1, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 209 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 551 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 208 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 555
Quiver
[ 2, 1 ], [ 2, 5 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 5, 3 ], [ 5, 6 ], [ 7, 6 ], [ 8, 5 ]
Relations
[ 5, 3, 2 ]
[ 2, 5, 3 ]
[ 8, 5, 3 ]
[ 5, 3, 8 ]
[ 3, 2, 5 ] - [ 3, 8, 5 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 0 1 1 0 0)
(1 1 1 1 1 1 0 1)
(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 0)
(0 0 0 0 1 1 0 1)
Good mutations
vertex 1 -> Algebra 398 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 209 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 591 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 5 -> Algebra 1086 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 613 permutation [ 2, 1, 5, 3, 4, 6, 7, 8 ]
vertex 7 -> Algebra 210 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 557
Quiver
[ 2, 1 ], [ 2, 6 ], [ 3, 4 ], [ 3, 5 ], [ 5, 2 ], [ 5, 8 ], [ 6, 5 ], [ 6, 7 ], [ 8, 6 ]
Relations
[ 6, 5, 2 ]
[ 2, 6, 5 ]
[ 8, 6, 5 ]
[ 6, 5, 8 ]
[ 5, 2, 6 ] - [ 5, 8, 6 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 0 0 1 1 0)
(1 1 1 1 1 1 1 1)
(0 0 0 1 0 0 0 0)
(1 1 0 0 1 1 1 1)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 1 1 1)
Good mutations
vertex 1 -> Algebra 400 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 546 permutation [ 1, 2, 5, 4, 3, 6, 7, 8 ]
vertex 4 -> Algebra 594 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 5 -> Algebra 210 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 1089 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 1086 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 564
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 7 ], [ 4, 5 ], [ 4, 6 ], [ 6, 3 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 7, 6, 3 ]
[ 3, 7, 6 ]
[ 6, 3, 7 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 0 1 0)
(0 0 1 0 0 0 1 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 1 1 0)
(0 0 1 0 0 0 1 1)
Good mutations
vertex 1 -> Algebra 407 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 973 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1100 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 570 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 5 -> Algebra 543 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 214 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 212 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 565
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 8 ], [ 4, 5 ], [ 4, 6 ], [ 6, 3 ], [ 6, 7 ], [ 7, 4 ]
Relations
[ 6, 7, 4 ]
[ 7, 4, 6 ]
[ 4, 6, 7 ]
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 0 1)
(0 0 0 0 1 0 0 0)
(0 0 1 0 0 1 1 1)
(0 0 0 1 1 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 408 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 974 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 574 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 5 -> Algebra 544 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 213 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 597 permutation [ 2, 1, 3, 6, 4, 5, 7, 8 ]
Algebra 566
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 6 ], [ 4, 3 ], [ 4, 5 ], [ 6, 4 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 6, 4, 3 ]
[ 3, 6, 4 ]
[ 4, 3, 6 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 1 0 0)
(0 0 1 0 0 1 0 0)
(0 0 1 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 1 1 1 0 0)
(0 0 0 1 1 1 1 0)
(0 0 1 0 0 1 0 1)
Good mutations
vertex 1 -> Algebra 409 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 975 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1102 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 219 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 545 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 597 permutation [ 2, 1, 3, 6, 4, 5, 7, 8 ]
vertex 7 -> Algebra 214 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 213 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 567
Quiver
[ 2, 1 ], [ 2, 6 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 6, 3 ], [ 6, 7 ], [ 8, 6 ]
Relations
[ 6, 3, 2 ]
[ 2, 6, 3 ]
[ 8, 6, 3 ]
[ 6, 3, 8 ]
[ 3, 2, 6 ] - [ 3, 8, 6 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 0 0 1 1 0)
(1 1 1 1 1 1 1 1)
(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 1 1 1)
Good mutations
vertex 1 -> Algebra 410 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 214 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 546 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 1104 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 1102 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 570
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 7 ], [ 4, 3 ], [ 4, 6 ], [ 5, 6 ], [ 7, 4 ], [ 8, 3 ]
Relations
[ 7, 4, 3 ]
[ 3, 7, 4 ]
[ 4, 3, 7 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 0 1 0)
(0 0 1 0 0 0 1 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 1 0 1 1 0)
(0 0 1 0 0 0 1 1)
Good mutations
vertex 1 -> Algebra 413 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 978 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 778 permutation [ 8, 2, 1, 3, 4, 6, 5, 7 ]
vertex 4 -> Algebra 217 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 580 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 564 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 8 -> Algebra 215 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 574
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 8 ], [ 4, 3 ], [ 4, 6 ], [ 5, 6 ], [ 6, 7 ], [ 7, 5 ]
Relations
[ 6, 7, 5 ]
[ 7, 5, 6 ]
[ 5, 6, 7 ]
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 1 0)
(0 0 0 0 1 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 417 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 641 permutation [ 3, 1, 2, 4, 6, 5, 7, 8 ]
vertex 4 -> Algebra 218 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 565 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 8 -> Algebra 234 permutation [ 2, 1, 3, 4, 6, 5, 7, 8 ]
Algebra 575
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 5, 6 ], [ 6, 4 ], [ 6, 7 ], [ 7, 5 ], [ 8, 3 ]
Relations
[ 6, 7, 5 ]
[ 7, 5, 6 ]
[ 5, 6, 7 ]
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 0 0)
(0 0 0 1 0 1 1 0)
(0 0 0 0 1 0 1 0)
(0 0 1 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 418 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 633 permutation [ 3, 1, 2, 4, 6, 5, 7, 8 ]
vertex 4 -> Algebra 234 permutation [ 2, 1, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 219 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 218 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 580
Quiver
[ 2, 1 ], [ 2, 3 ], [ 3, 7 ], [ 4, 3 ], [ 4, 5 ], [ 5, 6 ], [ 7, 4 ], [ 8, 3 ]
Relations
[ 7, 4, 3 ]
[ 3, 7, 4 ]
[ 4, 3, 7 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 0 1 0)
(0 0 1 0 0 0 1 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 1 1 1 1 0)
(0 0 1 0 0 0 1 1)
Good mutations
vertex 1 -> Algebra 423 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 982 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 327 permutation [ 8, 2, 1, 3, 4, 5, 6, 7 ]
vertex 4 -> Algebra 223 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 570 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 221 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 586
Quiver
[ 2, 1 ], [ 2, 4 ], [ 3, 2 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 6, 7 ], [ 7, 5 ], [ 8, 4 ]
Relations
[ 4, 3, 2 ]
[ 2, 4, 3 ]
[ 8, 4, 3 ]
[ 4, 3, 8 ]
[ 3, 2, 4 ] - [ 3, 8, 4 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 1 1 0 0 0)
(1 1 1 1 1 0 0 1)
(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 0 1 1 0 0 1)
Good mutations
vertex 1 -> Algebra 429 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1120 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 601 permutation [ 2, 1, 4, 3, 5, 7, 6, 8 ]
vertex 6 -> Algebra 589 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
Algebra 589
Quiver
[ 2, 1 ], [ 2, 4 ], [ 3, 2 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 6, 5 ], [ 6, 7 ], [ 8, 4 ]
Relations
[ 4, 3, 2 ]
[ 2, 4, 3 ]
[ 8, 4, 3 ]
[ 4, 3, 8 ]
[ 3, 2, 4 ] - [ 3, 8, 4 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 1 1 0 0 0)
(1 1 1 1 1 0 0 1)
(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 0 1 1 0 0 1)
Good mutations
vertex 1 -> Algebra 432 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 603 permutation [ 2, 1, 5, 3, 4, 6, 7, 8 ]
vertex 5 -> Algebra 237 permutation [ 2, 1, 4, 3, 5, 6, 7, 8 ]
vertex 6 -> Algebra 229 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 586 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
Algebra 591
Quiver
[ 2, 1 ], [ 2, 5 ], [ 3, 4 ], [ 4, 2 ], [ 4, 8 ], [ 5, 4 ], [ 5, 6 ], [ 7, 6 ], [ 8, 5 ]
Relations
[ 5, 4, 2 ]
[ 2, 5, 4 ]
[ 8, 5, 4 ]
[ 5, 4, 8 ]
[ 4, 2, 5 ] - [ 4, 8, 5 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 0 1 1 0 0)
(1 1 1 1 1 1 0 1)
(1 1 0 1 1 1 0 1)
(0 0 0 1 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 1 1 0 1)
Good mutations
vertex 1 -> Algebra 434 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 555 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 4 -> Algebra 229 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 1126 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 603 permutation [ 2, 1, 5, 3, 4, 6, 7, 8 ]
vertex 7 -> Algebra 231 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 594
Quiver
[ 2, 1 ], [ 2, 6 ], [ 3, 4 ], [ 4, 5 ], [ 5, 2 ], [ 5, 8 ], [ 6, 5 ], [ 6, 7 ], [ 8, 6 ]
Relations
[ 6, 5, 2 ]
[ 2, 6, 5 ]
[ 8, 6, 5 ]
[ 6, 5, 8 ]
[ 5, 2, 6 ] - [ 5, 8, 6 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 0 0 1 1 0)
(1 1 1 1 1 1 1 1)
(1 1 0 1 1 1 1 1)
(1 1 0 0 1 1 1 1)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 0 0 0 1 1 1)
Good mutations
vertex 1 -> Algebra 438 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 557 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 5 -> Algebra 231 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 1130 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 1126 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 595
Quiver
[ 1, 2 ], [ 1, 3 ], [ 4, 3 ], [ 4, 7 ], [ 5, 6 ], [ 6, 4 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 7, 6, 4 ]
[ 4, 7, 6 ]
[ 6, 4, 7 ]
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 0 0 1 0)
(0 0 1 1 1 1 0 0)
(0 0 1 1 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 636 permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 439 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 243 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 545 permutation [ 2, 1, 3, 5, 6, 4, 7, 8 ]
vertex 5 -> Algebra 597 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 233 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 544 permutation [ 2, 1, 3, 5, 6, 4, 7, 8 ]
Algebra 596
Quiver
[ 1, 2 ], [ 1, 3 ], [ 4, 3 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
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 0 1 0 0)
(0 0 1 1 1 0 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 637 permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 440 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 244 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 551 permutation [ 2, 1, 3, 5, 4, 7, 6, 8 ]
vertex 6 -> Algebra 1080 permutation [ 2, 1, 3, 5, 6, 7, 4, 8 ]
vertex 7 -> Algebra 233 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 550 permutation [ 2, 1, 3, 5, 4, 7, 6, 8 ]
Algebra 597
Quiver
[ 1, 2 ], [ 1, 3 ], [ 4, 3 ], [ 4, 7 ], [ 5, 4 ], [ 5, 6 ], [ 7, 5 ], [ 8, 3 ]
Relations
[ 7, 5, 4 ]
[ 4, 7, 5 ]
[ 5, 4, 7 ]
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 0 0 1 0)
(0 0 1 1 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 639 permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 441 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 246 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 566 permutation [ 2, 1, 3, 5, 6, 4, 7, 8 ]
vertex 5 -> Algebra 234 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 595 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 565 permutation [ 2, 1, 3, 5, 6, 4, 7, 8 ]
Algebra 601
Quiver
[ 1, 2 ], [ 1, 3 ], [ 3, 4 ], [ 4, 1 ], [ 4, 8 ], [ 5, 3 ], [ 5, 6 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 3, 4, 1 ]
[ 1, 3, 4 ]
[ 8, 3, 4 ]
[ 3, 4, 8 ]
[ 4, 1, 3 ] - [ 4, 8, 3 ]
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 0 1 1 0 0 0 0)
(1 1 1 1 0 0 0 1)
(0 0 1 1 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 2 -> Algebra 445 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 240 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 586 permutation [ 2, 1, 4, 3, 5, 7, 6, 8 ]
vertex 6 -> Algebra 1117 permutation [ 2, 1, 4, 3, 6, 7, 5, 8 ]
vertex 7 -> Algebra 237 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 603
Quiver
[ 1, 2 ], [ 1, 3 ], [ 3, 5 ], [ 4, 5 ], [ 5, 1 ], [ 5, 8 ], [ 6, 3 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 3, 5, 1 ]
[ 1, 3, 5 ]
[ 8, 3, 5 ]
[ 3, 5, 8 ]
[ 5, 1, 3 ] - [ 5, 8, 3 ]
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 0 1 0 1 0 0 0)
(1 1 1 1 1 0 0 1)
(1 1 1 0 1 0 0 1)
(0 0 1 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 447 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 238 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 613 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 589 permutation [ 2, 1, 4, 5, 3, 6, 7, 8 ]
vertex 6 -> Algebra 591 permutation [ 2, 1, 4, 5, 3, 6, 7, 8 ]
vertex 7 -> Algebra 1120 permutation [ 2, 1, 4, 5, 3, 7, 6, 8 ]
Algebra 604
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 7 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 6, 3 ], [ 7, 6 ]
Relations
[ 7, 6, 3 ]
[ 3, 7, 6 ]
[ 6, 3, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 0 0 1 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)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 448 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1126 permutation [ 2, 1, 4, 5, 6, 3, 7, 8 ]
vertex 4 -> Algebra 614 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 238 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 1134 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 605
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 6 ], [ 3, 8 ], [ 4, 5 ], [ 5, 3 ], [ 6, 5 ], [ 7, 6 ]
Relations
[ 6, 5, 3 ]
[ 3, 6, 5 ]
[ 5, 3, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 0 1 0 1)
(1 1 1 1 1 0 0 1)
(1 1 1 0 1 0 0 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 449 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1120 permutation [ 2, 1, 4, 5, 3, 7, 6, 8 ]
vertex 4 -> Algebra 615 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 240 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 1135 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 238 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 1136 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 606
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 6 ], [ 4, 5 ], [ 5, 3 ], [ 6, 5 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 6, 5, 3 ]
[ 3, 6, 5 ]
[ 5, 3, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 0 1 1 0)
(1 1 1 1 1 0 0 0)
(1 1 1 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 1 1 1)
Good mutations
vertex 2 -> Algebra 450 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 616 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 241 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 1134 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 1136 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 238 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 608
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 5 ], [ 3, 8 ], [ 4, 3 ], [ 5, 4 ], [ 6, 7 ], [ 7, 5 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 1 0 0 1)
(1 1 1 1 0 0 0 1)
(0 0 0 1 1 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 1 1 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 452 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1108 permutation [ 2, 1, 4, 3, 6, 7, 5, 8 ]
vertex 5 -> Algebra 1140 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 610 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 1141 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 610
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 5 ], [ 3, 8 ], [ 4, 3 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 1 0 0 1)
(1 1 1 1 0 0 0 1)
(0 0 0 1 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 0 1)
Good mutations
vertex 2 -> Algebra 454 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1117 permutation [ 2, 1, 4, 3, 6, 7, 5, 8 ]
vertex 5 -> Algebra 744 permutation [ 3, 1, 2, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 240 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 608 permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex 8 -> Algebra 741 permutation [ 3, 1, 2, 5, 4, 6, 7, 8 ]
Algebra 611
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 5 ], [ 4, 3 ], [ 5, 4 ], [ 5, 6 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 1 1 0 0)
(1 1 1 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 0 1 1 0 1)
Good mutations
vertex 2 -> Algebra 455 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 1136 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 741 permutation [ 3, 1, 2, 5, 4, 6, 7, 8 ]
vertex 7 -> Algebra 241 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 240 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 613
Quiver
[ 1, 2 ], [ 1, 3 ], [ 3, 4 ], [ 4, 1 ], [ 4, 5 ], [ 4, 8 ], [ 6, 3 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 3, 4, 1 ]
[ 1, 3, 4 ]
[ 8, 3, 4 ]
[ 3, 4, 8 ]
[ 4, 1, 3 ] - [ 4, 8, 3 ]
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 0 1 1 1 0 0 0)
(1 1 1 1 1 0 0 1)
(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 1 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 457 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 242 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 554 permutation [ 2, 1, 4, 5, 3, 6, 7, 8 ]
vertex 5 -> Algebra 603 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 555 permutation [ 2, 1, 4, 5, 3, 6, 7, 8 ]
vertex 7 -> Algebra 1082 permutation [ 2, 1, 4, 5, 3, 7, 6, 8 ]
Algebra 614
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 7 ], [ 3, 8 ], [ 4, 5 ], [ 4, 6 ], [ 6, 3 ], [ 7, 6 ]
Relations
[ 7, 6, 3 ]
[ 3, 7, 6 ]
[ 6, 3, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 0 0 1 1)
(1 1 1 1 1 1 0 1)
(0 0 0 0 1 0 0 0)
(1 1 1 0 0 1 0 1)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 458 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1086 permutation [ 2, 1, 4, 5, 6, 3, 7, 8 ]
vertex 4 -> Algebra 617 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 5 -> Algebra 604 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 242 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 1146 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 615
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 6 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 6, 4 ], [ 7, 6 ]
Relations
[ 6, 4, 3 ]
[ 3, 6, 4 ]
[ 4, 3, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 0 1 0 1)
(1 1 1 1 1 0 0 1)
(0 0 0 0 1 0 0 0)
(0 0 0 1 1 1 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 459 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1082 permutation [ 2, 1, 4, 5, 3, 7, 6, 8 ]
vertex 4 -> Algebra 244 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 605 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 1147 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 242 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 1148 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 616
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 6 ], [ 4, 3 ], [ 4, 5 ], [ 6, 4 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 6, 4, 3 ]
[ 3, 6, 4 ]
[ 4, 3, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 0 1 1 0)
(1 1 1 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)
(1 1 1 0 0 1 1 1)
Good mutations
vertex 2 -> Algebra 460 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 245 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 606 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 1146 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 1148 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 242 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 617
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 7 ], [ 3, 8 ], [ 4, 3 ], [ 4, 6 ], [ 5, 6 ], [ 7, 4 ]
Relations
[ 7, 4, 3 ]
[ 3, 7, 4 ]
[ 4, 3, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 0 0 1 1)
(1 1 1 1 0 1 0 1)
(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 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 461 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1076 permutation [ 2, 1, 4, 5, 6, 3, 7, 8 ]
vertex 4 -> Algebra 243 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 623 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 614 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 8 -> Algebra 1151 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 619
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 4, 7 ], [ 5, 6 ], [ 6, 4 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 7, 6, 4 ]
[ 4, 7, 6 ]
[ 6, 4, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 0 0 1 0)
(0 0 0 1 0 0 1 0)
(0 0 0 1 1 1 0 0)
(0 0 0 1 0 1 0 0)
(0 0 0 0 0 1 1 0)
(1 1 1 1 0 0 1 1)
Good mutations
vertex 2 -> Algebra 463 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1151 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 625 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 245 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 243 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 620
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 3, 8 ], [ 5, 6 ], [ 6, 4 ], [ 6, 7 ], [ 7, 5 ]
Relations
[ 6, 7, 5 ]
[ 7, 5, 6 ]
[ 5, 6, 7 ]
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 0 0)
(0 0 0 1 0 1 1 0)
(0 0 0 0 1 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 464 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1080 permutation [ 2, 1, 3, 5, 6, 7, 4, 8 ]
vertex 4 -> Algebra 747 permutation [ 3, 1, 2, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 244 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 739 permutation [ 3, 1, 2, 4, 6, 5, 7, 8 ]
Algebra 621
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 0 1 0 0)
(0 0 0 1 0 1 0 0)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(1 1 1 1 0 1 0 1)
Good mutations
vertex 2 -> Algebra 465 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1148 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 739 permutation [ 3, 1, 2, 4, 6, 5, 7, 8 ]
vertex 7 -> Algebra 245 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 244 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 623
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 7 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 5, 6 ], [ 7, 4 ]
Relations
[ 7, 4, 3 ]
[ 3, 7, 4 ]
[ 4, 3, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 0 0 1 1)
(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 1 1 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 467 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1102 permutation [ 2, 1, 4, 5, 6, 3, 7, 8 ]
vertex 4 -> Algebra 246 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 617 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 1155 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 625
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 4 ], [ 4, 7 ], [ 5, 4 ], [ 5, 6 ], [ 7, 5 ], [ 8, 3 ]
Relations
[ 7, 5, 4 ]
[ 4, 7, 5 ]
[ 5, 4, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 0 0 1 0)
(0 0 0 1 0 0 1 0)
(0 0 0 1 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 1 1 1 0)
(1 1 1 1 0 0 1 1)
Good mutations
vertex 2 -> Algebra 469 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1155 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 248 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 619 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 246 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 633
Quiver
[ 1, 3 ], [ 1, 4 ], [ 2, 3 ], [ 5, 4 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 1 ]
Relations
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
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 0 1 0)
(0 0 0 1 1 1 0 0)
(0 0 0 0 0 1 1 0)
(1 0 1 1 0 0 0 1)
Good mutations
vertex 2 -> Algebra 739 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 575 permutation [ 2, 3, 1, 4, 6, 5, 7, 8 ]
vertex 4 -> Algebra 254 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 465 permutation [ 2, 3, 1, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 464 permutation [ 2, 3, 1, 4, 6, 5, 7, 8 ]
Algebra 635
Quiver
[ 1, 3 ], [ 1, 4 ], [ 2, 3 ], [ 4, 5 ], [ 5, 1 ], [ 6, 4 ], [ 6, 7 ], [ 8, 1 ]
Relations
[ 4, 5, 1 ]
[ 5, 1, 4 ]
[ 1, 4, 5 ]
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 1 0 0 0)
(1 0 1 0 1 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 0 1 0)
(1 0 1 1 0 0 0 1)
Good mutations
vertex 2 -> Algebra 741 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 554 permutation [ 2, 3, 1, 5, 4, 6, 7, 8 ]
vertex 4 -> Algebra 253 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 455 permutation [ 2, 3, 1, 5, 4, 6, 7, 8 ]
vertex 7 -> Algebra 968 permutation [ 2, 3, 1, 5, 4, 7, 6, 8 ]
vertex 8 -> Algebra 454 permutation [ 2, 3, 1, 5, 4, 6, 7, 8 ]
Algebra 636
Quiver
[ 1, 3 ], [ 2, 3 ], [ 4, 1 ], [ 4, 7 ], [ 5, 6 ], [ 6, 4 ], [ 7, 6 ], [ 8, 1 ]
Relations
[ 7, 6, 4 ]
[ 4, 7, 6 ]
[ 6, 4, 7 ]
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 1 0)
(1 0 1 1 1 1 0 0)
(1 0 1 1 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 742 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 595 permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 963 permutation [ 2, 3, 1, 5, 6, 4, 7, 8 ]
vertex 5 -> Algebra 639 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 253 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 962 permutation [ 2, 3, 1, 5, 6, 4, 7, 8 ]
Algebra 637
Quiver
[ 1, 3 ], [ 2, 3 ], [ 4, 1 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 7, 6 ], [ 8, 1 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
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 1 0 0)
(1 0 1 1 1 0 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(1 0 1 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 743 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 596 permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 968 permutation [ 2, 3, 1, 5, 4, 7, 6, 8 ]
vertex 6 -> Algebra 1159 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 253 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 967 permutation [ 2, 3, 1, 5, 4, 7, 6, 8 ]
Algebra 638
Quiver
[ 1, 3 ], [ 1, 8 ], [ 2, 3 ], [ 4, 1 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
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 0 1 1 1)
(1 0 1 1 1 0 0 1)
(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 744 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 553 permutation [ 2, 3, 1, 5, 4, 6, 7, 8 ]
vertex 4 -> Algebra 454 permutation [ 2, 3, 1, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 962 permutation [ 2, 3, 1, 5, 6, 4, 7, 8 ]
vertex 7 -> Algebra 967 permutation [ 2, 3, 1, 5, 4, 7, 6, 8 ]
vertex 8 -> Algebra 253 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 639
Quiver
[ 1, 3 ], [ 2, 3 ], [ 4, 1 ], [ 4, 7 ], [ 5, 4 ], [ 5, 6 ], [ 7, 5 ], [ 8, 1 ]
Relations
[ 7, 5, 4 ]
[ 4, 7, 5 ]
[ 5, 4, 7 ]
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 1 0)
(1 0 1 1 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 1 1 1 0)
(1 0 1 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 745 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 597 permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 975 permutation [ 2, 3, 1, 5, 6, 4, 7, 8 ]
vertex 5 -> Algebra 254 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 636 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 974 permutation [ 2, 3, 1, 5, 6, 4, 7, 8 ]
Algebra 641
Quiver
[ 1, 3 ], [ 1, 8 ], [ 2, 3 ], [ 4, 1 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ]
Relations
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
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 0 1 1)
(0 0 0 0 1 0 1 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 747 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 574 permutation [ 2, 3, 1, 4, 6, 5, 7, 8 ]
vertex 4 -> Algebra 464 permutation [ 2, 3, 1, 4, 6, 5, 7, 8 ]
vertex 5 -> Algebra 974 permutation [ 2, 3, 1, 5, 6, 4, 7, 8 ]
vertex 8 -> Algebra 254 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 672
Quiver
[ 1, 8 ], [ 2, 3 ], [ 3, 8 ], [ 4, 1 ], [ 4, 3 ], [ 4, 5 ], [ 5, 6 ], [ 7, 6 ], [ 8, 4 ]
Relations
[ 8, 4, 1 ]
[ 8, 4, 3 ]
[ 1, 8, 4 ]
[ 3, 8, 4 ]
[ 4, 1, 8 ] - [ 4, 3, 8 ]
Cartan matrix
(1 0 0 0 0 0 0 1)
(0 1 1 0 0 0 0 1)
(0 0 1 0 0 0 0 1)
(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 1 1 1 0 1)
Good mutations
vertex 2 -> Algebra 778 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 413 permutation [ 2, 3, 4, 5, 7, 6, 8, 1 ]
vertex 6 -> Algebra 924 permutation [ 2, 3, 4, 6, 7, 5, 8, 1 ]
vertex 7 -> Algebra 271 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 739
Quiver
[ 1, 2 ], [ 1, 4 ], [ 2, 3 ], [ 5, 4 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 1 ]
Relations
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
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 0 1 0)
(0 0 0 1 1 1 0 0)
(0 0 0 0 0 1 1 0)
(1 1 1 1 0 0 0 1)
Good mutations
vertex 3 -> Algebra 633 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 310 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 621 permutation [ 2, 3, 1, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 620 permutation [ 2, 3, 1, 4, 6, 5, 7, 8 ]
Algebra 741
Quiver
[ 1, 2 ], [ 1, 4 ], [ 2, 3 ], [ 4, 5 ], [ 5, 1 ], [ 6, 4 ], [ 6, 7 ], [ 8, 1 ]
Relations
[ 4, 5, 1 ]
[ 5, 1, 4 ]
[ 1, 4, 5 ]
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 1 0 0 0)
(1 1 1 0 1 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 0 0 0 1 0)
(1 1 1 1 0 0 0 1)
Good mutations
vertex 3 -> Algebra 635 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 309 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 611 permutation [ 2, 3, 1, 5, 4, 6, 7, 8 ]
vertex 7 -> Algebra 1141 permutation [ 2, 3, 1, 5, 4, 7, 6, 8 ]
vertex 8 -> Algebra 610 permutation [ 2, 3, 1, 5, 4, 6, 7, 8 ]
Algebra 742
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 1 ], [ 4, 7 ], [ 5, 6 ], [ 6, 4 ], [ 7, 6 ], [ 8, 1 ]
Relations
[ 7, 6, 4 ]
[ 4, 7, 6 ]
[ 6, 4, 7 ]
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 1 0)
(1 1 1 1 1 1 0 0)
(1 1 1 1 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 636 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1136 permutation [ 2, 3, 1, 5, 6, 4, 7, 8 ]
vertex 5 -> Algebra 745 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 309 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 1135 permutation [ 2, 3, 1, 5, 6, 4, 7, 8 ]
Algebra 743
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 1 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 7, 6 ], [ 8, 1 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
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 1 0 0)
(1 1 1 1 1 0 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(1 1 1 0 0 0 0 1)
Good mutations
vertex 3 -> Algebra 637 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1141 permutation [ 2, 3, 1, 5, 4, 7, 6, 8 ]
vertex 6 -> Algebra 1250 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 309 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 1140 permutation [ 2, 3, 1, 5, 4, 7, 6, 8 ]
Algebra 744
Quiver
[ 1, 2 ], [ 1, 8 ], [ 2, 3 ], [ 4, 1 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ]
Relations
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
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 0 1 1 1)
(1 1 1 1 1 0 0 1)
(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 3 -> Algebra 638 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 610 permutation [ 2, 3, 1, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 1135 permutation [ 2, 3, 1, 5, 6, 4, 7, 8 ]
vertex 7 -> Algebra 1140 permutation [ 2, 3, 1, 5, 4, 7, 6, 8 ]
vertex 8 -> Algebra 309 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 745
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 1 ], [ 4, 7 ], [ 5, 4 ], [ 5, 6 ], [ 7, 5 ], [ 8, 1 ]
Relations
[ 7, 5, 4 ]
[ 4, 7, 5 ]
[ 5, 4, 7 ]
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 1 0)
(1 1 1 1 1 1 0 0)
(0 0 0 0 0 1 0 0)
(0 0 0 0 1 1 1 0)
(1 1 1 0 0 0 0 1)
Good mutations
vertex 3 -> Algebra 639 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1148 permutation [ 2, 3, 1, 5, 6, 4, 7, 8 ]
vertex 5 -> Algebra 310 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 742 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 1147 permutation [ 2, 3, 1, 5, 6, 4, 7, 8 ]
Algebra 747
Quiver
[ 1, 2 ], [ 1, 8 ], [ 2, 3 ], [ 4, 1 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ]
Relations
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
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 0 1 1)
(0 0 0 0 1 0 1 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 3 -> Algebra 641 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 620 permutation [ 2, 3, 1, 4, 6, 5, 7, 8 ]
vertex 5 -> Algebra 1147 permutation [ 2, 3, 1, 5, 6, 4, 7, 8 ]
vertex 8 -> Algebra 310 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 778
Quiver
[ 1, 8 ], [ 2, 3 ], [ 2, 8 ], [ 4, 1 ], [ 4, 2 ], [ 4, 5 ], [ 5, 6 ], [ 7, 6 ], [ 8, 4 ]
Relations
[ 8, 4, 1 ]
[ 8, 4, 2 ]
[ 1, 8, 4 ]
[ 2, 8, 4 ]
[ 4, 1, 8 ] - [ 4, 2, 8 ]
Cartan matrix
(1 0 0 0 0 0 0 1)
(0 1 1 0 0 0 0 1)
(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 1 1 1 0 1)
Good mutations
vertex 3 -> Algebra 672 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 570 permutation [ 3, 2, 4, 5, 7, 6, 8, 1 ]
vertex 6 -> Algebra 1100 permutation [ 3, 2, 4, 6, 7, 5, 8, 1 ]
vertex 7 -> Algebra 327 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 782
Quiver
[ 1, 2 ], [ 1, 8 ], [ 2, 4 ], [ 3, 8 ], [ 4, 1 ], [ 5, 1 ], [ 5, 6 ], [ 6, 7 ], [ 8, 4 ]
Relations
[ 2, 4, 1 ]
[ 8, 4, 1 ]
[ 4, 1, 2 ]
[ 4, 1, 8 ]
[ 1, 2, 4 ] - [ 1, 8, 4 ]
Cartan matrix
(1 1 0 1 0 0 0 1)
(0 1 0 1 0 0 0 0)
(0 0 1 1 0 0 0 1)
(1 0 0 1 0 0 0 0)
(1 1 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)
Good mutations
vertex 1 -> Algebra 410 permutation [ 3, 8, 5, 6, 7, 1, 4, 2 ]
vertex 3 -> Algebra 1104 permutation [ 3, 8, 5, 6, 7, 1, 4, 2 ]
vertex 5 -> Algebra 924 permutation [ 3, 8, 1, 6, 7, 5, 4, 2 ]
vertex 7 -> Algebra 902 permutation [ 3, 8, 5, 7, 6, 1, 4, 2 ]
Algebra 899
Quiver
[ 1, 2 ], [ 2, 7 ], [ 3, 2 ], [ 3, 6 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 7, 3 ], [ 8, 7 ]
Relations
[ 7, 3, 2 ]
[ 2, 7, 3 ]
[ 8, 7, 3 ]
[ 7, 3, 8 ]
[ 3, 2, 7 ] - [ 3, 8, 7 ]
Cartan matrix
(1 1 0 0 0 0 1 0)
(0 1 0 0 0 0 1 0)
(0 1 1 0 0 1 1 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 1 0 0 1 1 0)
(0 0 0 0 0 0 1 1)
Good mutations
vertex 1 -> Algebra 1074 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 386 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 924 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 902 permutation [ 1, 2, 6, 4, 5, 3, 7, 8 ]
Algebra 901
Quiver
[ 1, 2 ], [ 2, 6 ], [ 3, 2 ], [ 3, 5 ], [ 3, 8 ], [ 4, 5 ], [ 6, 3 ], [ 7, 6 ], [ 8, 6 ]
Relations
[ 6, 3, 2 ]
[ 2, 6, 3 ]
[ 8, 6, 3 ]
[ 6, 3, 8 ]
[ 3, 2, 6 ] - [ 3, 8, 6 ]
Cartan matrix
(1 1 0 0 0 1 0 0)
(0 1 0 0 0 1 0 0)
(0 1 1 0 1 1 0 1)
(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)
(0 0 0 0 0 1 0 1)
Good mutations
vertex 1 -> Algebra 1076 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 388 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 926 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 910 permutation [ 1, 2, 5, 4, 3, 6, 7, 8 ]
vertex 6 -> Algebra 461 permutation [ 1, 2, 6, 3, 4, 5, 7, 8 ]
vertex 7 -> Algebra 389 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 902
Quiver
[ 1, 2 ], [ 2, 7 ], [ 3, 5 ], [ 3, 6 ], [ 4, 5 ], [ 6, 2 ], [ 6, 8 ], [ 7, 6 ], [ 8, 7 ]
Relations
[ 7, 6, 2 ]
[ 2, 7, 6 ]
[ 8, 7, 6 ]
[ 7, 6, 8 ]
[ 6, 2, 7 ] - [ 6, 8, 7 ]
Cartan matrix
(1 1 0 0 0 0 1 0)
(0 1 0 0 0 0 1 0)
(0 1 1 0 1 1 1 1)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 1 0 0 0 1 1 1)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 1)
Good mutations
vertex 1 -> Algebra 1078 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 899 permutation [ 1, 2, 6, 4, 5, 3, 7, 8 ]
vertex 4 -> Algebra 782 permutation [ 6, 8, 1, 7, 3, 5, 4, 2 ]
vertex 5 -> Algebra 914 permutation [ 1, 2, 5, 4, 3, 6, 7, 8 ]
vertex 6 -> Algebra 389 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 904
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 5 ], [ 5, 6 ], [ 5, 7 ], [ 6, 4 ], [ 7, 3 ], [ 8, 3 ]
Relations
[ 5, 6, 4 ]
[ 6, 4, 5 ]
[ 4, 5, 6 ]
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 1 0)
(0 0 1 0 1 1 1 0)
(0 0 0 1 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 1080 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 464 permutation [ 1, 2, 3, 7, 4, 5, 6, 8 ]
vertex 5 -> Algebra 440 permutation [ 1, 2, 3, 7, 4, 5, 6, 8 ]
vertex 8 -> Algebra 391 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 906
Quiver
[ 1, 2 ], [ 2, 5 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 5, 3 ], [ 6, 7 ], [ 7, 5 ], [ 8, 5 ]
Relations
[ 5, 3, 2 ]
[ 2, 5, 3 ]
[ 8, 5, 3 ]
[ 5, 3, 8 ]
[ 3, 2, 5 ] - [ 3, 8, 5 ]
Cartan matrix
(1 1 0 0 1 0 0 0)
(0 1 0 0 1 0 0 0)
(0 1 1 1 1 0 0 1)
(0 0 0 1 0 0 0 0)
(0 0 1 1 1 0 0 0)
(0 0 1 1 1 1 1 0)
(0 0 1 1 1 0 1 0)
(0 0 0 0 1 0 0 1)
Good mutations
vertex 1 -> Algebra 1082 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 394 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 942 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 5 -> Algebra 459 permutation [ 1, 2, 5, 3, 4, 7, 6, 8 ]
vertex 6 -> Algebra 457 permutation [ 1, 2, 5, 3, 4, 7, 6, 8 ]
Algebra 910
Quiver
[ 1, 2 ], [ 2, 6 ], [ 3, 4 ], [ 3, 5 ], [ 5, 2 ], [ 5, 8 ], [ 6, 5 ], [ 7, 6 ], [ 8, 6 ]
Relations
[ 6, 5, 2 ]
[ 2, 6, 5 ]
[ 8, 6, 5 ]
[ 6, 5, 8 ]
[ 5, 2, 6 ] - [ 5, 8, 6 ]
Cartan matrix
(1 1 0 0 0 1 0 0)
(0 1 0 0 0 1 0 0)
(0 1 1 1 1 1 0 1)
(0 0 0 1 0 0 0 0)
(0 1 0 0 1 1 0 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 0 1)
Good mutations
vertex 1 -> Algebra 1086 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 901 permutation [ 1, 2, 5, 4, 3, 6, 7, 8 ]
vertex 4 -> Algebra 950 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 5 -> Algebra 398 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 458 permutation [ 1, 2, 6, 3, 4, 5, 7, 8 ]
vertex 7 -> Algebra 400 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 914
Quiver
[ 1, 2 ], [ 2, 7 ], [ 3, 4 ], [ 3, 5 ], [ 5, 6 ], [ 6, 2 ], [ 6, 8 ], [ 7, 6 ], [ 8, 7 ]
Relations
[ 7, 6, 2 ]
[ 2, 7, 6 ]
[ 8, 7, 6 ]
[ 7, 6, 8 ]
[ 6, 2, 7 ] - [ 6, 8, 7 ]
Cartan matrix
(1 1 0 0 0 0 1 0)
(0 1 0 0 0 0 1 0)
(0 1 1 1 1 1 1 1)
(0 0 0 1 0 0 0 0)
(0 1 0 0 1 1 1 1)
(0 1 0 0 0 1 1 1)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 1)
Good mutations
vertex 1 -> Algebra 1089 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 902 permutation [ 1, 2, 5, 4, 3, 6, 7, 8 ]
vertex 4 -> Algebra 957 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 6 -> Algebra 400 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 924
Quiver
[ 1, 2 ], [ 2, 7 ], [ 3, 2 ], [ 3, 6 ], [ 3, 8 ], [ 4, 5 ], [ 4, 6 ], [ 7, 3 ], [ 8, 7 ]
Relations
[ 7, 3, 2 ]
[ 2, 7, 3 ]
[ 8, 7, 3 ]
[ 7, 3, 8 ]
[ 3, 2, 7 ] - [ 3, 8, 7 ]
Cartan matrix
(1 1 0 0 0 0 1 0)
(0 1 0 0 0 0 1 0)
(0 1 1 0 0 1 1 1)
(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 1 0 0 1 1 0)
(0 0 0 0 0 0 1 1)
Good mutations
vertex 1 -> Algebra 1100 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 407 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 672 permutation [ 8, 1, 2, 3, 6, 4, 5, 7 ]
vertex 5 -> Algebra 899 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 782 permutation [ 3, 8, 1, 7, 6, 4, 5, 2 ]
Algebra 926
Quiver
[ 1, 2 ], [ 2, 6 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 6, 3 ], [ 7, 6 ], [ 8, 6 ]
Relations
[ 6, 3, 2 ]
[ 2, 6, 3 ]
[ 8, 6, 3 ]
[ 6, 3, 8 ]
[ 3, 2, 6 ] - [ 3, 8, 6 ]
Cartan matrix
(1 1 0 0 0 1 0 0)
(0 1 0 0 0 1 0 0)
(0 1 1 1 1 1 0 1)
(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)
(0 0 0 0 0 1 0 1)
Good mutations
vertex 1 -> Algebra 1102 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 409 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 901 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 467 permutation [ 1, 2, 6, 3, 4, 5, 7, 8 ]
vertex 7 -> Algebra 410 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 930
Quiver
[ 1, 2 ], [ 2, 4 ], [ 3, 2 ], [ 3, 8 ], [ 4, 3 ], [ 5, 6 ], [ 6, 7 ], [ 7, 4 ], [ 8, 4 ]
Relations
[ 4, 3, 2 ]
[ 2, 4, 3 ]
[ 8, 4, 3 ]
[ 4, 3, 8 ]
[ 3, 2, 4 ] - [ 3, 8, 4 ]
Cartan matrix
(1 1 0 1 0 0 0 0)
(0 1 0 1 0 0 0 0)
(0 1 1 1 0 0 0 1)
(0 0 1 1 0 0 0 0)
(0 0 1 1 1 1 1 0)
(0 0 1 1 0 1 1 0)
(0 0 1 1 0 0 1 0)
(0 0 0 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 1108 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 452 permutation [ 1, 2, 4, 3, 7, 5, 6, 8 ]
vertex 5 -> Algebra 939 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
Algebra 939
Quiver
[ 1, 2 ], [ 2, 4 ], [ 3, 2 ], [ 3, 8 ], [ 4, 3 ], [ 5, 6 ], [ 5, 7 ], [ 7, 4 ], [ 8, 4 ]
Relations
[ 4, 3, 2 ]
[ 2, 4, 3 ]
[ 8, 4, 3 ]
[ 4, 3, 8 ]
[ 3, 2, 4 ] - [ 3, 8, 4 ]
Cartan matrix
(1 1 0 1 0 0 0 0)
(0 1 0 1 0 0 0 0)
(0 1 1 1 0 0 0 1)
(0 0 1 1 0 0 0 0)
(0 0 1 1 1 1 1 0)
(0 0 0 0 0 1 0 0)
(0 0 1 1 0 0 1 0)
(0 0 0 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 1117 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 454 permutation [ 1, 2, 4, 3, 7, 5, 6, 8 ]
vertex 5 -> Algebra 445 permutation [ 1, 2, 4, 3, 7, 5, 6, 8 ]
vertex 6 -> Algebra 930 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
Algebra 942
Quiver
[ 1, 2 ], [ 2, 5 ], [ 3, 4 ], [ 4, 2 ], [ 4, 8 ], [ 5, 4 ], [ 6, 7 ], [ 7, 5 ], [ 8, 5 ]
Relations
[ 5, 4, 2 ]
[ 2, 5, 4 ]
[ 8, 5, 4 ]
[ 5, 4, 8 ]
[ 4, 2, 5 ] - [ 4, 8, 5 ]
Cartan matrix
(1 1 0 0 1 0 0 0)
(0 1 0 0 1 0 0 0)
(0 1 1 1 1 0 0 1)
(0 1 0 1 1 0 0 1)
(0 0 0 1 1 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 1 1 0 1 0)
(0 0 0 0 1 0 0 1)
Good mutations
vertex 1 -> Algebra 1120 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 906 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 4 -> Algebra 429 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 449 permutation [ 1, 2, 5, 3, 4, 7, 6, 8 ]
vertex 6 -> Algebra 447 permutation [ 1, 2, 5, 3, 4, 7, 6, 8 ]
Algebra 950
Quiver
[ 1, 2 ], [ 2, 6 ], [ 3, 4 ], [ 4, 5 ], [ 5, 2 ], [ 5, 8 ], [ 6, 5 ], [ 7, 6 ], [ 8, 6 ]
Relations
[ 6, 5, 2 ]
[ 2, 6, 5 ]
[ 8, 6, 5 ]
[ 6, 5, 8 ]
[ 5, 2, 6 ] - [ 5, 8, 6 ]
Cartan matrix
(1 1 0 0 0 1 0 0)
(0 1 0 0 0 1 0 0)
(0 1 1 1 1 1 0 1)
(0 1 0 1 1 1 0 1)
(0 1 0 0 1 1 0 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 0 1)
Good mutations
vertex 1 -> Algebra 1126 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 910 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 5 -> Algebra 434 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 448 permutation [ 1, 2, 6, 3, 4, 5, 7, 8 ]
vertex 7 -> Algebra 438 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 957
Quiver
[ 1, 2 ], [ 2, 7 ], [ 3, 4 ], [ 4, 5 ], [ 5, 6 ], [ 6, 2 ], [ 6, 8 ], [ 7, 6 ], [ 8, 7 ]
Relations
[ 7, 6, 2 ]
[ 2, 7, 6 ]
[ 8, 7, 6 ]
[ 7, 6, 8 ]
[ 6, 2, 7 ] - [ 6, 8, 7 ]
Cartan matrix
(1 1 0 0 0 0 1 0)
(0 1 0 0 0 0 1 0)
(0 1 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 1 1 0)
(0 0 0 0 0 0 1 1)
Good mutations
vertex 1 -> Algebra 1130 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 914 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 6 -> Algebra 438 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 961
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 7 ], [ 4, 5 ], [ 5, 6 ], [ 6, 3 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 7, 6, 3 ]
[ 3, 7, 6 ]
[ 6, 3, 7 ]
Cartan matrix
(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 1 1 1 1 1 0 0)
(0 1 1 0 1 1 0 0)
(0 1 1 0 0 1 0 0)
(0 0 0 0 0 1 1 0)
(0 1 1 0 0 0 1 1)
Good mutations
vertex 1 -> Algebra 1134 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 543 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 973 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 450 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 448 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 962
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 6, 3 ], [ 6, 7 ], [ 7, 5 ]
Relations
[ 6, 7, 5 ]
[ 7, 5, 6 ]
[ 5, 6, 7 ]
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 0 1)
(0 1 1 0 1 1 0 1)
(0 1 1 0 0 1 1 1)
(0 0 0 0 1 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 1135 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 544 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 974 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 638 permutation [ 3, 1, 2, 6, 4, 5, 7, 8 ]
vertex 6 -> Algebra 449 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 636 permutation [ 3, 1, 2, 6, 4, 5, 7, 8 ]
Algebra 963
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 6 ], [ 4, 5 ], [ 5, 3 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 6, 5, 3 ]
[ 3, 6, 5 ]
[ 5, 3, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 0 0 1 0 0)
(0 1 1 1 1 0 0 0)
(0 1 1 0 1 0 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(0 1 1 0 0 1 0 1)
Good mutations
vertex 1 -> Algebra 1136 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 545 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 975 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 455 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 636 permutation [ 3, 1, 2, 6, 4, 5, 7, 8 ]
vertex 7 -> Algebra 450 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 449 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 965
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 5, 7 ], [ 6, 4 ], [ 7, 3 ]
Relations
[ 5, 6, 4 ]
[ 6, 4, 5 ]
[ 4, 5, 6 ]
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 0 1 1)
(0 1 1 0 1 1 1 1)
(0 0 0 1 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 1138 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 548 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 967 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 8 -> Algebra 1159 permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
Algebra 967
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 8 ], [ 4, 5 ], [ 5, 3 ], [ 5, 7 ], [ 6, 7 ], [ 7, 4 ]
Relations
[ 5, 7, 4 ]
[ 7, 4, 5 ]
[ 4, 5, 7 ]
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 0 0 1)
(0 1 1 0 1 0 1 1)
(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 1140 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 550 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 452 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 638 permutation [ 3, 1, 2, 5, 4, 7, 6, 8 ]
vertex 7 -> Algebra 965 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 8 -> Algebra 637 permutation [ 3, 1, 2, 5, 4, 7, 6, 8 ]
Algebra 968
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 5 ], [ 4, 3 ], [ 5, 4 ], [ 6, 7 ], [ 7, 5 ], [ 8, 3 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(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 1 1 1 0 0 0 0)
(0 0 0 1 1 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 1 1 0 1 0)
(0 1 1 0 1 0 0 1)
Good mutations
vertex 1 -> Algebra 1141 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 551 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 637 permutation [ 3, 1, 2, 5, 4, 7, 6, 8 ]
vertex 6 -> Algebra 635 permutation [ 3, 1, 2, 5, 4, 7, 6, 8 ]
vertex 8 -> Algebra 452 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 973
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 7 ], [ 4, 5 ], [ 4, 6 ], [ 6, 3 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 7, 6, 3 ]
[ 3, 7, 6 ]
[ 6, 3, 7 ]
Cartan matrix
(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 1 1 1 1 1 0 0)
(0 0 0 0 1 0 0 0)
(0 1 1 0 0 1 0 0)
(0 0 0 0 0 1 1 0)
(0 1 1 0 0 0 1 1)
Good mutations
vertex 1 -> Algebra 1146 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 564 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 978 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 5 -> Algebra 961 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 460 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 458 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 974
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 8 ], [ 4, 5 ], [ 4, 6 ], [ 6, 3 ], [ 6, 7 ], [ 7, 4 ]
Relations
[ 6, 7, 4 ]
[ 7, 4, 6 ]
[ 4, 6, 7 ]
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 0 1)
(0 0 0 0 1 0 0 0)
(0 1 1 0 0 1 1 1)
(0 0 0 1 1 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 1147 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 565 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 641 permutation [ 3, 1, 2, 6, 4, 5, 7, 8 ]
vertex 5 -> Algebra 962 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 459 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 639 permutation [ 3, 1, 2, 6, 4, 5, 7, 8 ]
Algebra 975
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 6 ], [ 4, 3 ], [ 4, 5 ], [ 6, 4 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 6, 4, 3 ]
[ 3, 6, 4 ]
[ 4, 3, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(0 1 1 0 0 1 0 0)
(0 1 1 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 1 1 1 0 0)
(0 0 0 1 1 1 1 0)
(0 1 1 0 0 1 0 1)
Good mutations
vertex 1 -> Algebra 1148 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 566 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 465 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 963 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 639 permutation [ 3, 1, 2, 6, 4, 5, 7, 8 ]
vertex 7 -> Algebra 460 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 459 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 978
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 7 ], [ 4, 3 ], [ 4, 6 ], [ 5, 6 ], [ 7, 4 ], [ 8, 3 ]
Relations
[ 7, 4, 3 ]
[ 3, 7, 4 ]
[ 4, 3, 7 ]
Cartan matrix
(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 1 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 1 0 1 1 0)
(0 1 1 0 0 0 1 1)
Good mutations
vertex 1 -> Algebra 1151 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 570 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 463 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 982 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 973 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 8 -> Algebra 461 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 982
Quiver
[ 1, 2 ], [ 3, 2 ], [ 3, 7 ], [ 4, 3 ], [ 4, 5 ], [ 5, 6 ], [ 7, 4 ], [ 8, 3 ]
Relations
[ 7, 4, 3 ]
[ 3, 7, 4 ]
[ 4, 3, 7 ]
Cartan matrix
(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 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 1 1 1 1 0)
(0 1 1 0 0 0 1 1)
Good mutations
vertex 1 -> Algebra 1155 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 580 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 469 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 978 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 467 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1074
Quiver
[ 2, 1 ], [ 2, 7 ], [ 3, 2 ], [ 3, 6 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 7, 3 ], [ 8, 7 ]
Relations
[ 7, 3, 2 ]
[ 2, 7, 3 ]
[ 8, 7, 3 ]
[ 7, 3, 8 ]
[ 3, 2, 7 ] - [ 3, 8, 7 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 0 0 0 1 0)
(1 1 1 0 0 1 1 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 1 0 0 1 1 0)
(0 0 0 0 0 0 1 1)
Good mutations
vertex 1 -> Algebra 899 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 543 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1100 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 1078 permutation [ 1, 2, 6, 4, 5, 3, 7, 8 ]
Algebra 1076
Quiver
[ 2, 1 ], [ 2, 6 ], [ 3, 2 ], [ 3, 5 ], [ 3, 8 ], [ 4, 5 ], [ 6, 3 ], [ 7, 6 ], [ 8, 6 ]
Relations
[ 6, 3, 2 ]
[ 2, 6, 3 ]
[ 8, 6, 3 ]
[ 6, 3, 8 ]
[ 3, 2, 6 ] - [ 3, 8, 6 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 0 0 1 0 0)
(1 1 1 0 1 1 0 1)
(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)
(0 0 0 0 0 1 0 1)
Good mutations
vertex 1 -> Algebra 901 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 545 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1102 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 1086 permutation [ 1, 2, 5, 4, 3, 6, 7, 8 ]
vertex 6 -> Algebra 617 permutation [ 2, 1, 6, 3, 4, 5, 7, 8 ]
vertex 7 -> Algebra 546 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1078
Quiver
[ 2, 1 ], [ 2, 7 ], [ 3, 5 ], [ 3, 6 ], [ 4, 5 ], [ 6, 2 ], [ 6, 8 ], [ 7, 6 ], [ 8, 7 ]
Relations
[ 7, 6, 2 ]
[ 2, 7, 6 ]
[ 8, 7, 6 ]
[ 7, 6, 8 ]
[ 6, 2, 7 ] - [ 6, 8, 7 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 0 0 0 1 0)
(1 1 1 0 1 1 1 1)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(1 1 0 0 0 1 1 1)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 1)
Good mutations
vertex 1 -> Algebra 902 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1074 permutation [ 1, 2, 6, 4, 5, 3, 7, 8 ]
vertex 4 -> Algebra 1104 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 1089 permutation [ 1, 2, 5, 4, 3, 6, 7, 8 ]
vertex 6 -> Algebra 546 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1080
Quiver
[ 2, 1 ], [ 2, 3 ], [ 4, 5 ], [ 5, 6 ], [ 5, 7 ], [ 6, 4 ], [ 7, 3 ], [ 8, 3 ]
Relations
[ 5, 6, 4 ]
[ 6, 4, 5 ]
[ 4, 5, 6 ]
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 0 1 0)
(0 0 1 0 1 1 1 0)
(0 0 0 1 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 904 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1159 permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
vertex 3 -> Algebra 620 permutation [ 2, 1, 3, 7, 4, 5, 6, 8 ]
vertex 5 -> Algebra 596 permutation [ 2, 1, 3, 7, 4, 5, 6, 8 ]
vertex 8 -> Algebra 548 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1082
Quiver
[ 2, 1 ], [ 2, 5 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 5, 3 ], [ 6, 7 ], [ 7, 5 ], [ 8, 5 ]
Relations
[ 5, 3, 2 ]
[ 2, 5, 3 ]
[ 8, 5, 3 ]
[ 5, 3, 8 ]
[ 3, 2, 5 ] - [ 3, 8, 5 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 0 1 0 0 0)
(1 1 1 1 1 0 0 1)
(0 0 0 1 0 0 0 0)
(0 0 1 1 1 0 0 0)
(0 0 1 1 1 1 1 0)
(0 0 1 1 1 0 1 0)
(0 0 0 0 1 0 0 1)
Good mutations
vertex 1 -> Algebra 906 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 551 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1120 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 5 -> Algebra 615 permutation [ 2, 1, 5, 3, 4, 7, 6, 8 ]
vertex 6 -> Algebra 613 permutation [ 2, 1, 5, 3, 4, 7, 6, 8 ]
Algebra 1086
Quiver
[ 2, 1 ], [ 2, 6 ], [ 3, 4 ], [ 3, 5 ], [ 5, 2 ], [ 5, 8 ], [ 6, 5 ], [ 7, 6 ], [ 8, 6 ]
Relations
[ 6, 5, 2 ]
[ 2, 6, 5 ]
[ 8, 6, 5 ]
[ 6, 5, 8 ]
[ 5, 2, 6 ] - [ 5, 8, 6 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 0 0 1 0 0)
(1 1 1 1 1 1 0 1)
(0 0 0 1 0 0 0 0)
(1 1 0 0 1 1 0 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 0 1)
Good mutations
vertex 1 -> Algebra 910 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1076 permutation [ 1, 2, 5, 4, 3, 6, 7, 8 ]
vertex 4 -> Algebra 1126 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 5 -> Algebra 555 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 614 permutation [ 2, 1, 6, 3, 4, 5, 7, 8 ]
vertex 7 -> Algebra 557 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1089
Quiver
[ 2, 1 ], [ 2, 7 ], [ 3, 4 ], [ 3, 5 ], [ 5, 6 ], [ 6, 2 ], [ 6, 8 ], [ 7, 6 ], [ 8, 7 ]
Relations
[ 7, 6, 2 ]
[ 2, 7, 6 ]
[ 8, 7, 6 ]
[ 7, 6, 8 ]
[ 6, 2, 7 ] - [ 6, 8, 7 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 0 0 0 1 0)
(1 1 1 1 1 1 1 1)
(0 0 0 1 0 0 0 0)
(1 1 0 0 1 1 1 1)
(1 1 0 0 0 1 1 1)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 1)
Good mutations
vertex 1 -> Algebra 914 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1078 permutation [ 1, 2, 5, 4, 3, 6, 7, 8 ]
vertex 4 -> Algebra 1130 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 6 -> Algebra 557 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1100
Quiver
[ 2, 1 ], [ 2, 7 ], [ 3, 2 ], [ 3, 6 ], [ 3, 8 ], [ 4, 5 ], [ 4, 6 ], [ 7, 3 ], [ 8, 7 ]
Relations
[ 7, 3, 2 ]
[ 2, 7, 3 ]
[ 8, 7, 3 ]
[ 7, 3, 8 ]
[ 3, 2, 7 ] - [ 3, 8, 7 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 0 0 0 1 0)
(1 1 1 0 0 1 1 1)
(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 1 0 0 1 1 0)
(0 0 0 0 0 0 1 1)
Good mutations
vertex 1 -> Algebra 924 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 564 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 778 permutation [ 8, 2, 1, 3, 6, 4, 5, 7 ]
vertex 5 -> Algebra 1074 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 1104 permutation [ 1, 2, 6, 4, 5, 3, 7, 8 ]
Algebra 1102
Quiver
[ 2, 1 ], [ 2, 6 ], [ 3, 2 ], [ 3, 4 ], [ 3, 8 ], [ 4, 5 ], [ 6, 3 ], [ 7, 6 ], [ 8, 6 ]
Relations
[ 6, 3, 2 ]
[ 2, 6, 3 ]
[ 8, 6, 3 ]
[ 6, 3, 8 ]
[ 3, 2, 6 ] - [ 3, 8, 6 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 0 0 1 0 0)
(1 1 1 1 1 1 0 1)
(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)
(0 0 0 0 0 1 0 1)
Good mutations
vertex 1 -> Algebra 926 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 566 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 1076 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 623 permutation [ 2, 1, 6, 3, 4, 5, 7, 8 ]
vertex 7 -> Algebra 567 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1104
Quiver
[ 2, 1 ], [ 2, 7 ], [ 3, 4 ], [ 3, 6 ], [ 4, 5 ], [ 6, 2 ], [ 6, 8 ], [ 7, 6 ], [ 8, 7 ]
Relations
[ 7, 6, 2 ]
[ 2, 7, 6 ]
[ 8, 7, 6 ]
[ 7, 6, 8 ]
[ 6, 2, 7 ] - [ 6, 8, 7 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 0 0 0 1 0)
(1 1 1 1 1 1 1 1)
(0 0 0 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(1 1 0 0 0 1 1 1)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 1)
Good mutations
vertex 1 -> Algebra 782 permutation [ 6, 8, 1, 7, 3, 4, 5, 2 ]
vertex 3 -> Algebra 1100 permutation [ 1, 2, 6, 4, 5, 3, 7, 8 ]
vertex 5 -> Algebra 1078 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 567 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1108
Quiver
[ 2, 1 ], [ 2, 4 ], [ 3, 2 ], [ 3, 8 ], [ 4, 3 ], [ 5, 6 ], [ 6, 7 ], [ 7, 4 ], [ 8, 4 ]
Relations
[ 4, 3, 2 ]
[ 2, 4, 3 ]
[ 8, 4, 3 ]
[ 4, 3, 8 ]
[ 3, 2, 4 ] - [ 3, 8, 4 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 1 0 0 0 0)
(1 1 1 1 0 0 0 1)
(0 0 1 1 0 0 0 0)
(0 0 1 1 1 1 1 0)
(0 0 1 1 0 1 1 0)
(0 0 1 1 0 0 1 0)
(0 0 0 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 930 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 608 permutation [ 2, 1, 4, 3, 7, 5, 6, 8 ]
vertex 5 -> Algebra 1117 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
Algebra 1117
Quiver
[ 2, 1 ], [ 2, 4 ], [ 3, 2 ], [ 3, 8 ], [ 4, 3 ], [ 5, 6 ], [ 5, 7 ], [ 7, 4 ], [ 8, 4 ]
Relations
[ 4, 3, 2 ]
[ 2, 4, 3 ]
[ 8, 4, 3 ]
[ 4, 3, 8 ]
[ 3, 2, 4 ] - [ 3, 8, 4 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 1 0 0 0 0)
(1 1 1 1 0 0 0 1)
(0 0 1 1 0 0 0 0)
(0 0 1 1 1 1 1 0)
(0 0 0 0 0 1 0 0)
(0 0 1 1 0 0 1 0)
(0 0 0 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 939 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 610 permutation [ 2, 1, 4, 3, 7, 5, 6, 8 ]
vertex 5 -> Algebra 601 permutation [ 2, 1, 4, 3, 7, 5, 6, 8 ]
vertex 6 -> Algebra 1108 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
Algebra 1120
Quiver
[ 2, 1 ], [ 2, 5 ], [ 3, 4 ], [ 4, 2 ], [ 4, 8 ], [ 5, 4 ], [ 6, 7 ], [ 7, 5 ], [ 8, 5 ]
Relations
[ 5, 4, 2 ]
[ 2, 5, 4 ]
[ 8, 5, 4 ]
[ 5, 4, 8 ]
[ 4, 2, 5 ] - [ 4, 8, 5 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 0 1 0 0 0)
(1 1 1 1 1 0 0 1)
(1 1 0 1 1 0 0 1)
(0 0 0 1 1 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 1 1 0 1 0)
(0 0 0 0 1 0 0 1)
Good mutations
vertex 1 -> Algebra 942 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1082 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 4 -> Algebra 586 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 605 permutation [ 2, 1, 5, 3, 4, 7, 6, 8 ]
vertex 6 -> Algebra 603 permutation [ 2, 1, 5, 3, 4, 7, 6, 8 ]
Algebra 1126
Quiver
[ 2, 1 ], [ 2, 6 ], [ 3, 4 ], [ 4, 5 ], [ 5, 2 ], [ 5, 8 ], [ 6, 5 ], [ 7, 6 ], [ 8, 6 ]
Relations
[ 6, 5, 2 ]
[ 2, 6, 5 ]
[ 8, 6, 5 ]
[ 6, 5, 8 ]
[ 5, 2, 6 ] - [ 5, 8, 6 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 0 0 1 0 0)
(1 1 1 1 1 1 0 1)
(1 1 0 1 1 1 0 1)
(1 1 0 0 1 1 0 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 1 0 1)
Good mutations
vertex 1 -> Algebra 950 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1086 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 5 -> Algebra 591 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 604 permutation [ 2, 1, 6, 3, 4, 5, 7, 8 ]
vertex 7 -> Algebra 594 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1130
Quiver
[ 2, 1 ], [ 2, 7 ], [ 3, 4 ], [ 4, 5 ], [ 5, 6 ], [ 6, 2 ], [ 6, 8 ], [ 7, 6 ], [ 8, 7 ]
Relations
[ 7, 6, 2 ]
[ 2, 7, 6 ]
[ 8, 7, 6 ]
[ 7, 6, 8 ]
[ 6, 2, 7 ] - [ 6, 8, 7 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 0 0 0 1 0)
(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 1)
(0 0 0 0 0 1 1 0)
(0 0 0 0 0 0 1 1)
Good mutations
vertex 1 -> Algebra 957 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1089 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 6 -> Algebra 594 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1134
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 7 ], [ 4, 5 ], [ 5, 6 ], [ 6, 3 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 7, 6, 3 ]
[ 3, 7, 6 ]
[ 6, 3, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 0 0 1 0)
(1 1 1 1 1 1 0 0)
(1 1 1 0 1 1 0 0)
(1 1 1 0 0 1 0 0)
(0 0 0 0 0 1 1 0)
(1 1 1 0 0 0 1 1)
Good mutations
vertex 2 -> Algebra 961 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1146 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 606 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 604 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1135
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 6, 3 ], [ 6, 7 ], [ 7, 5 ]
Relations
[ 6, 7, 5 ]
[ 7, 5, 6 ]
[ 5, 6, 7 ]
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 0 1)
(1 1 1 0 1 1 0 1)
(1 1 1 0 0 1 1 1)
(0 0 0 0 1 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 962 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1147 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 744 permutation [ 3, 1, 2, 6, 4, 5, 7, 8 ]
vertex 6 -> Algebra 605 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 742 permutation [ 3, 1, 2, 6, 4, 5, 7, 8 ]
Algebra 1136
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 6 ], [ 4, 5 ], [ 5, 3 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 6, 5, 3 ]
[ 3, 6, 5 ]
[ 5, 3, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 0 1 0 0)
(1 1 1 1 1 0 0 0)
(1 1 1 0 1 0 0 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(1 1 1 0 0 1 0 1)
Good mutations
vertex 2 -> Algebra 963 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1148 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 5 -> Algebra 611 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 742 permutation [ 3, 1, 2, 6, 4, 5, 7, 8 ]
vertex 7 -> Algebra 606 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 605 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1138
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 8 ], [ 4, 5 ], [ 5, 6 ], [ 5, 7 ], [ 6, 4 ], [ 7, 3 ]
Relations
[ 5, 6, 4 ]
[ 6, 4, 5 ]
[ 4, 5, 6 ]
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 0 1 1)
(1 1 1 0 1 1 1 1)
(0 0 0 1 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 965 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 1140 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 8 -> Algebra 1250 permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
Algebra 1140
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 8 ], [ 4, 5 ], [ 5, 3 ], [ 5, 7 ], [ 6, 7 ], [ 7, 4 ]
Relations
[ 5, 7, 4 ]
[ 7, 4, 5 ]
[ 4, 5, 7 ]
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 0 0 1)
(1 1 1 0 1 0 1 1)
(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 967 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 608 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 744 permutation [ 3, 1, 2, 5, 4, 7, 6, 8 ]
vertex 7 -> Algebra 1138 permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex 8 -> Algebra 743 permutation [ 3, 1, 2, 5, 4, 7, 6, 8 ]
Algebra 1141
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 5 ], [ 4, 3 ], [ 5, 4 ], [ 6, 7 ], [ 7, 5 ], [ 8, 3 ]
Relations
[ 5, 4, 3 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 1 0 0 0)
(1 1 1 1 0 0 0 0)
(0 0 0 1 1 0 0 0)
(0 0 0 1 1 1 1 0)
(0 0 0 1 1 0 1 0)
(1 1 1 0 1 0 0 1)
Good mutations
vertex 2 -> Algebra 968 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 743 permutation [ 3, 1, 2, 5, 4, 7, 6, 8 ]
vertex 6 -> Algebra 741 permutation [ 3, 1, 2, 5, 4, 7, 6, 8 ]
vertex 8 -> Algebra 608 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1146
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 7 ], [ 4, 5 ], [ 4, 6 ], [ 6, 3 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 7, 6, 3 ]
[ 3, 7, 6 ]
[ 6, 3, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 0 0 1 0)
(1 1 1 1 1 1 0 0)
(0 0 0 0 1 0 0 0)
(1 1 1 0 0 1 0 0)
(0 0 0 0 0 1 1 0)
(1 1 1 0 0 0 1 1)
Good mutations
vertex 2 -> Algebra 973 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1151 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 5 -> Algebra 1134 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 616 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 614 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1147
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 8 ], [ 4, 5 ], [ 4, 6 ], [ 6, 3 ], [ 6, 7 ], [ 7, 4 ]
Relations
[ 6, 7, 4 ]
[ 7, 4, 6 ]
[ 4, 6, 7 ]
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 0 1)
(0 0 0 0 1 0 0 0)
(1 1 1 0 0 1 1 1)
(0 0 0 1 1 0 1 0)
(0 0 0 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 974 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 747 permutation [ 3, 1, 2, 6, 4, 5, 7, 8 ]
vertex 5 -> Algebra 1135 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 615 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 745 permutation [ 3, 1, 2, 6, 4, 5, 7, 8 ]
Algebra 1148
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 6 ], [ 4, 3 ], [ 4, 5 ], [ 6, 4 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 6, 4, 3 ]
[ 3, 6, 4 ]
[ 4, 3, 6 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 0 1 0 0)
(1 1 1 1 1 0 0 0)
(0 0 0 0 1 0 0 0)
(0 0 0 1 1 1 0 0)
(0 0 0 1 1 1 1 0)
(1 1 1 0 0 1 0 1)
Good mutations
vertex 2 -> Algebra 975 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 621 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 1136 permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex 6 -> Algebra 745 permutation [ 3, 1, 2, 6, 4, 5, 7, 8 ]
vertex 7 -> Algebra 616 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 615 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1151
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 7 ], [ 4, 3 ], [ 4, 6 ], [ 5, 6 ], [ 7, 4 ], [ 8, 3 ]
Relations
[ 7, 4, 3 ]
[ 3, 7, 4 ]
[ 4, 3, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 0 0 1 0)
(1 1 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 1 0 1 1 0)
(1 1 1 0 0 0 1 1)
Good mutations
vertex 2 -> Algebra 978 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 619 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 1155 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 1146 permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex 8 -> Algebra 617 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1155
Quiver
[ 1, 2 ], [ 3, 1 ], [ 3, 7 ], [ 4, 3 ], [ 4, 5 ], [ 5, 6 ], [ 7, 4 ], [ 8, 3 ]
Relations
[ 7, 4, 3 ]
[ 3, 7, 4 ]
[ 4, 3, 7 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 0 0 1 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 1 1 1 1 0)
(1 1 1 0 0 0 1 1)
Good mutations
vertex 2 -> Algebra 982 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 625 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 1151 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 623 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1159
Quiver
[ 1, 3 ], [ 2, 3 ], [ 4, 1 ], [ 5, 6 ], [ 6, 4 ], [ 6, 7 ], [ 7, 5 ], [ 8, 1 ]
Relations
[ 6, 7, 5 ]
[ 7, 5, 6 ]
[ 5, 6, 7 ]
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 0 0)
(1 0 1 1 0 1 1 0)
(0 0 0 0 1 0 1 0)
(1 0 1 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 1250 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1080 permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
vertex 6 -> Algebra 637 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 965 permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
Algebra 1250
Quiver
[ 1, 2 ], [ 2, 3 ], [ 4, 1 ], [ 5, 6 ], [ 6, 4 ], [ 6, 7 ], [ 7, 5 ], [ 8, 1 ]
Relations
[ 6, 7, 5 ]
[ 7, 5, 6 ]
[ 5, 6, 7 ]
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 0 0)
(1 1 1 1 0 1 1 0)
(0 0 0 0 1 0 1 0)
(1 1 1 0 0 0 0 1)
Good mutations
vertex 3 -> Algebra 1159 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 743 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 1138 permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]