Algebra 262

Quiver

[ 1, 2 ], [ 2, 4 ], [ 3, 2 ], [ 3, 6 ], [ 4, 3 ], [ 5, 6 ], [ 6, 4 ], [ 6, 7 ], [ 7, 5 ]

Relations

[ 4, 3, 2 ] 
[ 2, 4, 3 ] 
[ 6, 4, 3 ] 
[ 6, 7, 5 ] 
[ 4, 3, 6 ] 
[ 7, 5, 6 ] 
[ 5, 6, 7 ] 
[ 3, 2, 4 ] - [ 3, 6, 4 ] 

Cartan matrix

(1 1 0 1 0 0 0)
(0 1 0 1 0 0 0)
(0 1 1 1 0 1 1)
(0 0 1 1 0 0 0)
(0 0 0 1 1 1 0)
(0 0 0 1 0 1 1)
(0 0 0 0 1 0 1)

Good mutations

vertex  1 -> Algebra  317    permutation [ 1, 2, 3, 4, 5, 6, 7 ]

Algebra 317

Quiver

[ 2, 1 ], [ 2, 4 ], [ 3, 2 ], [ 3, 6 ], [ 4, 3 ], [ 5, 6 ], [ 6, 4 ], [ 6, 7 ], [ 7, 5 ]

Relations

[ 4, 3, 2 ] 
[ 2, 4, 3 ] 
[ 6, 4, 3 ] 
[ 6, 7, 5 ] 
[ 4, 3, 6 ] 
[ 7, 5, 6 ] 
[ 5, 6, 7 ] 
[ 3, 2, 4 ] - [ 3, 6, 4 ] 

Cartan matrix

(1 0 0 0 0 0 0)
(1 1 0 1 0 0 0)
(1 1 1 1 0 1 1)
(0 0 1 1 0 0 0)
(0 0 0 1 1 1 0)
(0 0 0 1 0 1 1)
(0 0 0 0 1 0 1)

Good mutations

vertex  1 -> Algebra  262    permutation [ 1, 2, 3, 4, 5, 6, 7 ]