Algebra 107
Quiver
[ 1, 2 ], [ 2, 5 ], [ 2, 8 ], [ 3, 4 ], [ 4, 2 ], [ 5, 4 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 5, 4, 2 ]
[ 8, 3, 4, 2 ]
[ 4, 2, 8, 3 ]
[ 4, 2, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 3, 4, 2, 8 ]
[ 2, 5, 4 ] - [ 2, 8, 3, 4 ]
Cartan matrix
(1 1 1 1 1 0 1 1)
(0 1 1 1 1 0 1 1)
(0 1 1 1 0 0 0 0)
(0 1 0 1 0 0 0 1)
(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 1 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 183 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 330 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 122 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 8 -> Algebra 339 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 113
Quiver
[ 1, 2 ], [ 2, 4 ], [ 3, 8 ], [ 4, 3 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ], [ 8, 2 ]
Relations
[ 4, 3, 8, 2 ]
[ 8, 2, 4, 3 ]
[ 3, 8, 2, 4 ]
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
[ 2, 4, 3, 8 ]
Cartan matrix
(1 1 1 1 0 1 1 0)
(0 1 1 1 0 1 1 0)
(0 1 1 0 0 0 0 1)
(0 0 1 1 0 1 1 1)
(0 0 1 1 1 0 0 1)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(0 1 0 1 0 1 1 1)
Good mutations
vertex 1 -> Algebra 189 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 353 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 350 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 352 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 116
Quiver
[ 1, 2 ], [ 2, 4 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 2 ]
Relations
[ 4, 3, 8, 2 ]
[ 8, 2, 4, 3 ]
[ 3, 8, 2, 4 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 2, 4, 3, 8 ]
Cartan matrix
(1 1 1 1 1 0 1 0)
(0 1 1 1 1 0 1 0)
(0 1 1 0 0 0 0 1)
(0 0 1 1 1 0 1 1)
(0 0 0 0 1 0 1 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 1 0)
(0 1 0 1 1 0 1 1)
Good mutations
vertex 1 -> Algebra 192 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 359 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 339 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 356 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 122
Quiver
[ 1, 2 ], [ 2, 5 ], [ 2, 8 ], [ 3, 2 ], [ 3, 4 ], [ 4, 8 ], [ 5, 3 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 5, 3, 2 ]
[ 8, 3, 2 ]
[ 4, 8, 3 ]
[ 8, 3, 4 ]
[ 3, 2, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 2, 5, 3 ] - [ 2, 8, 3 ]
[ 3, 2, 8 ] - [ 3, 4, 8 ]
Cartan matrix
(1 1 1 0 1 0 1 1)
(0 1 1 0 1 0 1 1)
(0 1 1 1 0 0 0 1)
(0 0 0 1 0 0 0 1)
(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 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 198 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 107 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 8 -> Algebra 376 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 183
Quiver
[ 2, 1 ], [ 2, 5 ], [ 2, 8 ], [ 3, 4 ], [ 4, 2 ], [ 5, 4 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 5, 4, 2 ]
[ 8, 3, 4, 2 ]
[ 4, 2, 8, 3 ]
[ 4, 2, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 3, 4, 2, 8 ]
[ 2, 5, 4 ] - [ 2, 8, 3, 4 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 1 0 1 1)
(1 1 1 1 0 0 0 0)
(1 1 0 1 0 0 0 1)
(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 1 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 107 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 489 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 198 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 8 -> Algebra 498 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 189
Quiver
[ 2, 1 ], [ 2, 4 ], [ 3, 8 ], [ 4, 3 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ], [ 8, 2 ]
Relations
[ 4, 3, 8, 2 ]
[ 8, 2, 4, 3 ]
[ 3, 8, 2, 4 ]
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
[ 2, 4, 3, 8 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 0 1 1 0)
(1 1 1 0 0 0 0 1)
(0 0 1 1 0 1 1 1)
(0 0 1 1 1 0 0 1)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(1 1 0 1 0 1 1 1)
Good mutations
vertex 1 -> Algebra 113 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 512 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 509 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 511 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 192
Quiver
[ 2, 1 ], [ 2, 4 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 2 ]
Relations
[ 4, 3, 8, 2 ]
[ 8, 2, 4, 3 ]
[ 3, 8, 2, 4 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 2, 4, 3, 8 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 1 0 1 0)
(1 1 1 0 0 0 0 1)
(0 0 1 1 1 0 1 1)
(0 0 0 0 1 0 1 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 1 0)
(1 1 0 1 1 0 1 1)
Good mutations
vertex 1 -> Algebra 116 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 518 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 498 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 515 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 198
Quiver
[ 2, 1 ], [ 2, 5 ], [ 2, 8 ], [ 3, 2 ], [ 3, 4 ], [ 4, 8 ], [ 5, 3 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 5, 3, 2 ]
[ 8, 3, 2 ]
[ 4, 8, 3 ]
[ 8, 3, 4 ]
[ 3, 2, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 2, 5, 3 ] - [ 2, 8, 3 ]
[ 3, 2, 8 ] - [ 3, 4, 8 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 1 0 1 1)
(1 1 1 1 0 0 0 1)
(0 0 0 1 0 0 0 1)
(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 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 122 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 524 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 183 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 8 -> Algebra 533 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 259
Quiver
[ 1, 5 ], [ 1, 8 ], [ 2, 3 ], [ 3, 4 ], [ 4, 1 ], [ 5, 4 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 5, 4, 1 ]
[ 8, 3, 4, 1 ]
[ 4, 1, 8, 3 ]
[ 4, 1, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 3, 4, 1, 8 ]
[ 1, 5, 4 ] - [ 1, 8, 3, 4 ]
Cartan matrix
(1 0 1 1 1 0 1 1)
(1 1 1 1 0 0 0 0)
(1 0 1 1 0 0 0 0)
(1 0 0 1 0 0 0 1)
(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 1 1 0 0 0 1)
Good mutations
vertex 2 -> Algebra 315 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 390 permutation [ 2, 3, 1, 6, 5, 7, 8, 4 ]
Algebra 265
Quiver
[ 1, 4 ], [ 2, 3 ], [ 3, 8 ], [ 4, 3 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ], [ 8, 1 ]
Relations
[ 4, 3, 8, 1 ]
[ 8, 1, 4, 3 ]
[ 3, 8, 1, 4 ]
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
[ 1, 4, 3, 8 ]
Cartan matrix
(1 0 1 1 0 1 1 0)
(1 1 1 0 0 0 0 1)
(1 0 1 0 0 0 0 1)
(0 0 1 1 0 1 1 1)
(0 0 1 1 1 0 0 1)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(1 0 0 1 0 1 1 1)
Good mutations
vertex 2 -> Algebra 321 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 296 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
vertex 6 -> Algebra 660 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 662 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 268
Quiver
[ 1, 4 ], [ 2, 3 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 1 ]
Relations
[ 4, 3, 8, 1 ]
[ 8, 1, 4, 3 ]
[ 3, 8, 1, 4 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 1, 4, 3, 8 ]
Cartan matrix
(1 0 1 1 1 0 1 0)
(1 1 1 0 0 0 0 1)
(1 0 1 0 0 0 0 1)
(0 0 1 1 1 0 1 1)
(0 0 0 0 1 0 1 0)
(0 0 0 0 1 1 0 0)
(0 0 0 0 0 1 1 0)
(1 0 0 1 1 0 1 1)
Good mutations
vertex 2 -> Algebra 324 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 302 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
vertex 4 -> Algebra 390 permutation [ 2, 3, 1, 6, 5, 7, 8, 4 ]
vertex 5 -> Algebra 666 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 296
Quiver
[ 1, 4 ], [ 2, 3 ], [ 3, 1 ], [ 3, 8 ], [ 4, 3 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ], [ 8, 2 ], [ 8, 4 ]
Relations
[ 4, 3, 1 ]
[ 3, 8, 2 ]
[ 1, 4, 3 ]
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
[ 2, 3, 8 ]
[ 4, 3, 8 ]
[ 8, 2, 3 ] - [ 8, 4, 3 ]
[ 3, 1, 4 ] - [ 3, 8, 4 ]
Cartan matrix
(1 0 0 1 0 1 1 0)
(1 1 1 0 0 0 0 0)
(1 0 1 1 0 1 1 1)
(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 1 1 1 0 1 1 1)
Good mutations
vertex 1 -> Algebra 723 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 420 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 721 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 722 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 265 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
Algebra 302
Quiver
[ 1, 4 ], [ 2, 3 ], [ 3, 1 ], [ 3, 8 ], [ 4, 3 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 2 ], [ 8, 4 ]
Relations
[ 4, 3, 1 ]
[ 3, 8, 2 ]
[ 1, 4, 3 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 2, 3, 8 ]
[ 4, 3, 8 ]
[ 8, 2, 3 ] - [ 8, 4, 3 ]
[ 3, 1, 4 ] - [ 3, 8, 4 ]
Cartan matrix
(1 0 0 1 1 0 1 0)
(1 1 1 0 0 0 0 0)
(1 0 1 1 1 0 1 1)
(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 1 1 1 1 0 1 1)
Good mutations
vertex 1 -> Algebra 732 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 430 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 730 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 268 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
Algebra 315
Quiver
[ 1, 5 ], [ 1, 8 ], [ 2, 3 ], [ 2, 4 ], [ 4, 1 ], [ 5, 4 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 2 ]
Relations
[ 5, 4, 1 ]
[ 8, 2, 4, 1 ]
[ 4, 1, 8, 2 ]
[ 4, 1, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 2, 4, 1, 8 ]
[ 1, 5, 4 ] - [ 1, 8, 2, 4 ]
Cartan matrix
(1 1 1 1 1 0 1 1)
(1 1 1 1 0 0 0 0)
(0 0 1 0 0 0 0 0)
(1 0 0 1 0 0 0 1)
(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 1 1 1 0 0 0 1)
Good mutations
vertex 2 -> Algebra 330 permutation [ 1, 4, 3, 2, 5, 6, 7, 8 ]
vertex 3 -> Algebra 259 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 547 permutation [ 3, 2, 1, 6, 5, 7, 8, 4 ]
Algebra 321
Quiver
[ 1, 4 ], [ 2, 3 ], [ 2, 8 ], [ 4, 2 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ], [ 8, 1 ]
Relations
[ 4, 2, 8, 1 ]
[ 8, 1, 4, 2 ]
[ 2, 8, 1, 4 ]
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
[ 1, 4, 2, 8 ]
Cartan matrix
(1 1 1 1 0 1 1 0)
(1 1 1 0 0 0 0 1)
(0 0 1 0 0 0 0 0)
(0 1 1 1 0 1 1 1)
(0 1 1 1 1 0 0 1)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(1 0 0 1 0 1 1 1)
Good mutations
vertex 2 -> Algebra 353 permutation [ 1, 8, 3, 4, 5, 6, 7, 2 ]
vertex 3 -> Algebra 265 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 766 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 768 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 324
Quiver
[ 1, 4 ], [ 2, 3 ], [ 2, 8 ], [ 4, 2 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 1 ]
Relations
[ 4, 2, 8, 1 ]
[ 8, 1, 4, 2 ]
[ 2, 8, 1, 4 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 1, 4, 2, 8 ]
Cartan matrix
(1 1 1 1 1 0 1 0)
(1 1 1 0 0 0 0 1)
(0 0 1 0 0 0 0 0)
(0 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)
(1 0 0 1 1 0 1 1)
Good mutations
vertex 2 -> Algebra 359 permutation [ 1, 8, 3, 4, 5, 6, 7, 2 ]
vertex 3 -> Algebra 268 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 547 permutation [ 3, 2, 1, 6, 5, 7, 8, 4 ]
vertex 5 -> Algebra 772 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 330
Quiver
[ 1, 5 ], [ 1, 8 ], [ 2, 1 ], [ 2, 4 ], [ 3, 4 ], [ 4, 8 ], [ 5, 2 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 2 ], [ 8, 3 ]
Relations
[ 5, 2, 1 ]
[ 8, 2, 1 ]
[ 4, 8, 2 ]
[ 4, 8, 3 ]
[ 2, 1, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 3, 4, 8 ]
[ 1, 5, 2 ] - [ 1, 8, 2 ]
[ 8, 2, 4 ] - [ 8, 3, 4 ]
[ 2, 1, 8 ] - [ 2, 4, 8 ]
Cartan matrix
(1 1 1 1 1 0 1 1)
(1 1 0 1 0 0 0 1)
(0 0 1 1 0 0 0 0)
(0 0 0 1 0 0 0 1)
(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 1 1 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 780 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 107 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 315 permutation [ 1, 4, 3, 2, 5, 6, 7, 8 ]
vertex 8 -> Algebra 788 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 339
Quiver
[ 1, 2 ], [ 2, 3 ], [ 2, 5 ], [ 3, 4 ], [ 3, 8 ], [ 4, 2 ], [ 5, 4 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 2 ]
Relations
[ 5, 4, 2 ]
[ 4, 2, 3 ]
[ 8, 2, 3 ]
[ 4, 2, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 2, 3, 8 ]
[ 3, 4, 2 ] - [ 3, 8, 2 ]
[ 2, 3, 4 ] - [ 2, 5, 4 ]
Cartan matrix
(1 1 1 1 1 0 1 0)
(0 1 1 1 1 0 1 0)
(0 1 1 1 0 0 0 1)
(0 1 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 1 0 0 1 0 1 1)
Good mutations
vertex 1 -> Algebra 498 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 807 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 808 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 116 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 107 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 350
Quiver
[ 1, 2 ], [ 2, 4 ], [ 3, 8 ], [ 4, 3 ], [ 4, 7 ], [ 5, 6 ], [ 6, 4 ], [ 7, 6 ], [ 8, 2 ]
Relations
[ 4, 3, 8, 2 ]
[ 8, 2, 4, 3 ]
[ 3, 8, 2, 4 ]
[ 7, 6, 4 ]
[ 4, 7, 6 ]
[ 6, 4, 7 ]
[ 2, 4, 3, 8 ]
Cartan matrix
(1 1 1 1 0 0 1 0)
(0 1 1 1 0 0 1 0)
(0 1 1 0 0 0 0 1)
(0 0 1 1 0 0 1 1)
(0 0 1 1 1 1 0 1)
(0 0 1 1 0 1 0 1)
(0 0 0 0 0 1 1 0)
(0 1 0 1 0 0 1 1)
Good mutations
vertex 1 -> Algebra 509 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 831 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 356 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 113 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 352
Quiver
[ 1, 2 ], [ 2, 4 ], [ 3, 8 ], [ 4, 3 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 7, 6 ], [ 8, 2 ]
Relations
[ 4, 3, 8, 2 ]
[ 8, 2, 4, 3 ]
[ 3, 8, 2, 4 ]
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
[ 2, 4, 3, 8 ]
Cartan matrix
(1 1 1 1 0 1 0 0)
(0 1 1 1 0 1 0 0)
(0 1 1 0 0 0 0 1)
(0 0 1 1 0 1 0 1)
(0 0 1 1 1 0 0 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(0 1 0 1 0 1 0 1)
Good mutations
vertex 1 -> Algebra 511 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 834 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 833 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 113 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 353
Quiver
[ 1, 4 ], [ 2, 1 ], [ 2, 8 ], [ 3, 8 ], [ 4, 2 ], [ 4, 3 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ], [ 8, 4 ]
Relations
[ 4, 2, 1 ]
[ 1, 4, 2 ]
[ 8, 4, 2 ]
[ 8, 4, 3 ]
[ 3, 8, 4 ]
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
[ 2, 1, 4 ] - [ 2, 8, 4 ]
[ 4, 2, 8 ] - [ 4, 3, 8 ]
Cartan matrix
(1 0 1 1 0 1 1 0)
(1 1 0 1 0 1 1 1)
(0 0 1 0 0 0 0 1)
(0 1 1 1 0 1 1 1)
(0 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 1 0 1 1 1)
Good mutations
vertex 1 -> Algebra 835 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 113 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 420 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
vertex 6 -> Algebra 831 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 834 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 321 permutation [ 1, 8, 3, 4, 5, 6, 7, 2 ]
Algebra 356
Quiver
[ 1, 2 ], [ 2, 4 ], [ 3, 8 ], [ 4, 3 ], [ 4, 7 ], [ 5, 4 ], [ 5, 6 ], [ 7, 5 ], [ 8, 2 ]
Relations
[ 4, 3, 8, 2 ]
[ 8, 2, 4, 3 ]
[ 3, 8, 2, 4 ]
[ 7, 5, 4 ]
[ 4, 7, 5 ]
[ 5, 4, 7 ]
[ 2, 4, 3, 8 ]
Cartan matrix
(1 1 1 1 0 0 1 0)
(0 1 1 1 0 0 1 0)
(0 1 1 0 0 0 0 1)
(0 0 1 1 0 0 1 1)
(0 0 1 1 1 1 0 1)
(0 0 0 0 0 1 0 0)
(0 0 0 0 1 1 1 0)
(0 1 0 1 0 0 1 1)
Good mutations
vertex 1 -> Algebra 515 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 839 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 116 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 350 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
Algebra 359
Quiver
[ 1, 4 ], [ 2, 1 ], [ 2, 8 ], [ 3, 8 ], [ 4, 2 ], [ 4, 3 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 4 ]
Relations
[ 4, 2, 1 ]
[ 1, 4, 2 ]
[ 8, 4, 2 ]
[ 8, 4, 3 ]
[ 3, 8, 4 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 2, 1, 4 ] - [ 2, 8, 4 ]
[ 4, 2, 8 ] - [ 4, 3, 8 ]
Cartan matrix
(1 0 1 1 1 0 1 0)
(1 1 0 1 1 0 1 1)
(0 0 1 0 0 0 0 1)
(0 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 1 1 0 1 1)
Good mutations
vertex 1 -> Algebra 843 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 116 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 430 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
vertex 4 -> Algebra 844 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 839 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 324 permutation [ 1, 8, 3, 4, 5, 6, 7, 2 ]
Algebra 376
Quiver
[ 1, 2 ], [ 2, 5 ], [ 3, 8 ], [ 5, 3 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 2 ], [ 8, 4 ]
Relations
[ 5, 3, 8, 2 ]
[ 8, 2, 5, 3 ]
[ 3, 8, 2, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 2, 5, 3, 8 ]
Cartan matrix
(1 1 1 0 1 0 1 0)
(0 1 1 0 1 0 1 0)
(0 1 1 1 0 0 0 1)
(0 0 0 1 0 0 0 0)
(0 0 1 1 1 0 1 1)
(0 0 1 1 1 1 0 1)
(0 0 0 0 0 1 1 0)
(0 1 0 1 1 0 1 1)
Good mutations
vertex 1 -> Algebra 533 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 881 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 808 permutation [ 1, 2, 8, 3, 5, 6, 7, 4 ]
vertex 8 -> Algebra 122 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 390
Quiver
[ 1, 2 ], [ 2, 7 ], [ 2, 8 ], [ 3, 2 ], [ 3, 5 ], [ 4, 5 ], [ 5, 6 ], [ 5, 8 ], [ 6, 4 ], [ 7, 3 ], [ 8, 3 ]
Relations
[ 7, 3, 2 ]
[ 8, 3, 2 ]
[ 5, 8, 3 ]
[ 5, 6, 4 ]
[ 6, 4, 5 ]
[ 8, 3, 5 ]
[ 4, 5, 6 ]
[ 3, 2, 7 ]
[ 2, 7, 3 ] - [ 2, 8, 3 ]
[ 3, 2, 8 ] - [ 3, 5, 8 ]
Cartan matrix
(1 1 1 0 0 0 1 1)
(0 1 1 0 0 0 1 1)
(0 1 1 0 1 1 0 1)
(0 0 0 1 1 0 0 1)
(0 0 0 0 1 1 0 1)
(0 0 0 1 0 1 0 0)
(0 0 1 0 1 1 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 547 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 259 permutation [ 3, 1, 2, 8, 5, 4, 6, 7 ]
vertex 8 -> Algebra 268 permutation [ 3, 1, 2, 8, 5, 4, 6, 7 ]
Algebra 420
Quiver
[ 1, 4 ], [ 2, 1 ], [ 2, 3 ], [ 3, 8 ], [ 4, 2 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ], [ 8, 4 ]
Relations
[ 4, 2, 1 ]
[ 1, 4, 2 ]
[ 3, 8, 4, 2 ]
[ 8, 4, 2, 3 ]
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
[ 4, 2, 3, 8 ]
[ 2, 1, 4 ] - [ 2, 3, 8, 4 ]
Cartan matrix
(1 0 0 1 0 1 1 0)
(1 1 1 1 0 1 1 1)
(0 0 1 1 0 1 1 1)
(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 1 0 1 0 1 1 1)
Good mutations
vertex 3 -> Algebra 296 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 931 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 933 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 353 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
Algebra 430
Quiver
[ 1, 4 ], [ 2, 1 ], [ 2, 3 ], [ 3, 8 ], [ 4, 2 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 4 ]
Relations
[ 4, 2, 1 ]
[ 1, 4, 2 ]
[ 3, 8, 4, 2 ]
[ 8, 4, 2, 3 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 4, 2, 3, 8 ]
[ 2, 1, 4 ] - [ 2, 3, 8, 4 ]
Cartan matrix
(1 0 0 1 1 0 1 0)
(1 1 1 1 1 0 1 1)
(0 0 1 1 1 0 1 1)
(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 1 0 1 1 0 1 1)
Good mutations
vertex 3 -> Algebra 302 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 944 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 940 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 359 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
Algebra 489
Quiver
[ 1, 2 ], [ 2, 4 ], [ 3, 4 ], [ 4, 1 ], [ 4, 8 ], [ 5, 2 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 2 ], [ 8, 3 ]
Relations
[ 2, 4, 1 ]
[ 4, 8, 3 ]
[ 1, 2, 4 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 2, 4, 8 ]
[ 3, 4, 8 ]
[ 4, 1, 2 ] - [ 4, 8, 2 ]
[ 8, 2, 4 ] - [ 8, 3, 4 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 1 0 0 0 0)
(1 0 1 1 0 0 0 0)
(1 1 0 1 0 0 0 1)
(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 1 1 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 780 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 183 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 524 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 5 -> Algebra 722 permutation [ 1, 3, 4, 2, 6, 5, 7, 8 ]
vertex 8 -> Algebra 991 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 498
Quiver
[ 2, 1 ], [ 2, 3 ], [ 2, 5 ], [ 3, 4 ], [ 3, 8 ], [ 4, 2 ], [ 5, 4 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 2 ]
Relations
[ 5, 4, 2 ]
[ 4, 2, 3 ]
[ 8, 2, 3 ]
[ 4, 2, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 2, 3, 8 ]
[ 3, 4, 2 ] - [ 3, 8, 2 ]
[ 2, 3, 4 ] - [ 2, 5, 4 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 1 0 1 0)
(1 1 1 1 0 0 0 1)
(1 1 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 0 0 1 0 1 1)
Good mutations
vertex 1 -> Algebra 339 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1006 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1007 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 192 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 183 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 509
Quiver
[ 2, 1 ], [ 2, 4 ], [ 3, 8 ], [ 4, 3 ], [ 4, 7 ], [ 5, 6 ], [ 6, 4 ], [ 7, 6 ], [ 8, 2 ]
Relations
[ 4, 3, 8, 2 ]
[ 8, 2, 4, 3 ]
[ 3, 8, 2, 4 ]
[ 7, 6, 4 ]
[ 4, 7, 6 ]
[ 6, 4, 7 ]
[ 2, 4, 3, 8 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 0 0 1 0)
(1 1 1 0 0 0 0 1)
(0 0 1 1 0 0 1 1)
(0 0 1 1 1 1 0 1)
(0 0 1 1 0 1 0 1)
(0 0 0 0 0 1 1 0)
(1 1 0 1 0 0 1 1)
Good mutations
vertex 1 -> Algebra 350 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1026 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 515 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 189 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 511
Quiver
[ 2, 1 ], [ 2, 4 ], [ 3, 8 ], [ 4, 3 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 7, 6 ], [ 8, 2 ]
Relations
[ 4, 3, 8, 2 ]
[ 8, 2, 4, 3 ]
[ 3, 8, 2, 4 ]
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
[ 2, 4, 3, 8 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 0 1 0 0)
(1 1 1 0 0 0 0 1)
(0 0 1 1 0 1 0 1)
(0 0 1 1 1 0 0 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(1 1 0 1 0 1 0 1)
Good mutations
vertex 1 -> Algebra 352 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1029 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 1028 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 189 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 512
Quiver
[ 1, 2 ], [ 2, 8 ], [ 3, 8 ], [ 4, 2 ], [ 4, 3 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ], [ 8, 1 ], [ 8, 4 ]
Relations
[ 2, 8, 1 ]
[ 8, 4, 3 ]
[ 2, 8, 4 ]
[ 3, 8, 4 ]
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
[ 1, 2, 8 ]
[ 8, 1, 2 ] - [ 8, 4, 2 ]
[ 4, 2, 8 ] - [ 4, 3, 8 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 1)
(1 0 1 0 0 0 0 1)
(0 1 1 1 0 1 1 1)
(0 1 1 1 1 0 0 1)
(0 0 0 0 1 1 1 0)
(0 0 0 0 0 0 1 0)
(1 1 0 1 0 1 1 1)
Good mutations
vertex 1 -> Algebra 835 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 189 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 577 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
vertex 6 -> Algebra 1026 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 1029 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 515
Quiver
[ 2, 1 ], [ 2, 4 ], [ 3, 8 ], [ 4, 3 ], [ 4, 7 ], [ 5, 4 ], [ 5, 6 ], [ 7, 5 ], [ 8, 2 ]
Relations
[ 4, 3, 8, 2 ]
[ 8, 2, 4, 3 ]
[ 3, 8, 2, 4 ]
[ 7, 5, 4 ]
[ 4, 7, 5 ]
[ 5, 4, 7 ]
[ 2, 4, 3, 8 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 0 0 1 0)
(1 1 1 0 0 0 0 1)
(0 0 1 1 0 0 1 1)
(0 0 1 1 1 1 0 1)
(0 0 0 0 0 1 0 0)
(0 0 0 0 1 1 1 0)
(1 1 0 1 0 0 1 1)
Good mutations
vertex 1 -> Algebra 356 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1033 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 192 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 509 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
Algebra 518
Quiver
[ 1, 2 ], [ 2, 8 ], [ 3, 8 ], [ 4, 2 ], [ 4, 3 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 1 ], [ 8, 4 ]
Relations
[ 2, 8, 1 ]
[ 8, 4, 3 ]
[ 2, 8, 4 ]
[ 3, 8, 4 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 1, 2, 8 ]
[ 8, 1, 2 ] - [ 8, 4, 2 ]
[ 4, 2, 8 ] - [ 4, 3, 8 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 1)
(1 0 1 0 0 0 0 1)
(0 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)
(1 1 0 1 1 0 1 1)
Good mutations
vertex 1 -> Algebra 843 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 192 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 587 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
vertex 4 -> Algebra 1037 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 1033 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 524
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 1 ], [ 3, 4 ], [ 4, 8 ], [ 5, 2 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 2 ]
Relations
[ 2, 3, 1 ]
[ 1, 2, 3 ]
[ 4, 8, 2, 3 ]
[ 8, 2, 3, 4 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 2, 3, 4, 8 ]
[ 3, 1, 2 ] - [ 3, 4, 8, 2 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 1 1 0 0 0 0)
(1 1 1 1 0 0 0 1)
(0 1 0 1 0 0 0 1)
(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 1 1 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 198 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 489 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 5 -> Algebra 933 permutation [ 1, 3, 4, 2, 6, 5, 7, 8 ]
vertex 8 -> Algebra 1042 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 533
Quiver
[ 2, 1 ], [ 2, 5 ], [ 3, 8 ], [ 5, 3 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 2 ], [ 8, 4 ]
Relations
[ 5, 3, 8, 2 ]
[ 8, 2, 5, 3 ]
[ 3, 8, 2, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 2, 5, 3, 8 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 1 0 1 0)
(1 1 1 1 0 0 0 1)
(0 0 0 1 0 0 0 0)
(0 0 1 1 1 0 1 1)
(0 0 1 1 1 1 0 1)
(0 0 0 0 0 1 1 0)
(1 1 0 1 1 0 1 1)
Good mutations
vertex 1 -> Algebra 376 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1058 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1007 permutation [ 1, 2, 8, 3, 5, 6, 7, 4 ]
vertex 8 -> Algebra 198 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 547
Quiver
[ 2, 1 ], [ 2, 7 ], [ 2, 8 ], [ 3, 2 ], [ 3, 5 ], [ 4, 5 ], [ 5, 6 ], [ 5, 8 ], [ 6, 4 ], [ 7, 3 ], [ 8, 3 ]
Relations
[ 7, 3, 2 ]
[ 8, 3, 2 ]
[ 5, 8, 3 ]
[ 5, 6, 4 ]
[ 6, 4, 5 ]
[ 8, 3, 5 ]
[ 4, 5, 6 ]
[ 3, 2, 7 ]
[ 2, 7, 3 ] - [ 2, 8, 3 ]
[ 3, 2, 8 ] - [ 3, 5, 8 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 0 1 1)
(1 1 1 0 1 1 0 1)
(0 0 0 1 1 0 0 1)
(0 0 0 0 1 1 0 1)
(0 0 0 1 0 1 0 0)
(0 0 1 0 1 1 1 0)
(0 0 1 0 0 0 0 1)
Good mutations
vertex 1 -> Algebra 390 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1079 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 315 permutation [ 3, 2, 1, 8, 5, 4, 6, 7 ]
vertex 8 -> Algebra 324 permutation [ 3, 2, 1, 8, 5, 4, 6, 7 ]
Algebra 577
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 1 ], [ 3, 8 ], [ 4, 2 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ], [ 8, 4 ]
Relations
[ 2, 3, 1 ]
[ 1, 2, 3 ]
[ 8, 4, 2, 3 ]
[ 2, 3, 8, 4 ]
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
[ 4, 2, 3, 8 ]
[ 3, 1, 2 ] - [ 3, 8, 4, 2 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 1 0 0 0 0 1)
(1 1 1 1 0 1 1 1)
(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 1 0 1 0 1 1 1)
Good mutations
vertex 6 -> Algebra 1109 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 1111 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 512 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
Algebra 587
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 1 ], [ 3, 8 ], [ 4, 2 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 4 ]
Relations
[ 2, 3, 1 ]
[ 1, 2, 3 ]
[ 8, 4, 2, 3 ]
[ 2, 3, 8, 4 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 4, 2, 3, 8 ]
[ 3, 1, 2 ] - [ 3, 8, 4, 2 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 1 0 0 0 0 1)
(1 1 1 1 1 0 1 1)
(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 1 0 1 1 0 1 1)
Good mutations
vertex 4 -> Algebra 1121 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 1118 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 518 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
Algebra 660
Quiver
[ 1, 4 ], [ 2, 3 ], [ 3, 8 ], [ 4, 3 ], [ 4, 7 ], [ 5, 6 ], [ 6, 4 ], [ 7, 6 ], [ 8, 1 ]
Relations
[ 4, 3, 8, 1 ]
[ 8, 1, 4, 3 ]
[ 3, 8, 1, 4 ]
[ 7, 6, 4 ]
[ 4, 7, 6 ]
[ 6, 4, 7 ]
[ 1, 4, 3, 8 ]
Cartan matrix
(1 0 1 1 0 0 1 0)
(1 1 1 0 0 0 0 1)
(1 0 1 0 0 0 0 1)
(0 0 1 1 0 0 1 1)
(0 0 1 1 1 1 0 1)
(0 0 1 1 0 1 0 1)
(0 0 0 0 0 1 1 0)
(1 0 0 1 0 0 1 1)
Good mutations
vertex 2 -> Algebra 766 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 721 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
vertex 5 -> Algebra 666 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 265 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 662
Quiver
[ 1, 4 ], [ 2, 3 ], [ 3, 8 ], [ 4, 3 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 7, 6 ], [ 8, 1 ]
Relations
[ 4, 3, 8, 1 ]
[ 8, 1, 4, 3 ]
[ 3, 8, 1, 4 ]
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
[ 1, 4, 3, 8 ]
Cartan matrix
(1 0 1 1 0 1 0 0)
(1 1 1 0 0 0 0 1)
(1 0 1 0 0 0 0 1)
(0 0 1 1 0 1 0 1)
(0 0 1 1 1 0 0 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(1 0 0 1 0 1 0 1)
Good mutations
vertex 2 -> Algebra 768 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 722 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
vertex 6 -> Algebra 991 permutation [ 1, 4, 2, 8, 6, 5, 7, 3 ]
vertex 7 -> Algebra 265 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 666
Quiver
[ 1, 4 ], [ 2, 3 ], [ 3, 8 ], [ 4, 3 ], [ 4, 7 ], [ 5, 4 ], [ 5, 6 ], [ 7, 5 ], [ 8, 1 ]
Relations
[ 4, 3, 8, 1 ]
[ 8, 1, 4, 3 ]
[ 3, 8, 1, 4 ]
[ 7, 5, 4 ]
[ 4, 7, 5 ]
[ 5, 4, 7 ]
[ 1, 4, 3, 8 ]
Cartan matrix
(1 0 1 1 0 0 1 0)
(1 1 1 0 0 0 0 1)
(1 0 1 0 0 0 0 1)
(0 0 1 1 0 0 1 1)
(0 0 1 1 1 1 0 1)
(0 0 0 0 0 1 0 0)
(0 0 0 0 1 1 1 0)
(1 0 0 1 0 0 1 1)
Good mutations
vertex 2 -> Algebra 772 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 730 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
vertex 5 -> Algebra 268 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 660 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
Algebra 674
Quiver
[ 1, 3 ], [ 2, 3 ], [ 3, 4 ], [ 4, 2 ], [ 4, 8 ], [ 5, 1 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 1 ]
Relations
[ 3, 4, 8, 1 ]
[ 3, 4, 2 ]
[ 2, 3, 4 ]
[ 8, 1, 3, 4 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 1, 3, 4, 8 ]
[ 4, 2, 3 ] - [ 4, 8, 1, 3 ]
Cartan matrix
(1 0 1 1 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 1 0 0 0 1)
(1 1 1 1 0 0 0 1)
(1 0 1 1 1 0 1 0)
(1 0 1 1 1 1 0 0)
(0 0 0 0 0 1 1 0)
(1 0 1 0 0 0 0 1)
Good mutations
vertex 5 -> Algebra 1111 permutation [ 2, 3, 4, 1, 6, 5, 7, 8 ]
vertex 8 -> Algebra 1179 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 721
Quiver
[ 1, 4 ], [ 2, 3 ], [ 3, 1 ], [ 3, 8 ], [ 4, 3 ], [ 4, 7 ], [ 5, 6 ], [ 6, 4 ], [ 7, 6 ], [ 8, 2 ], [ 8, 4 ]
Relations
[ 4, 3, 1 ]
[ 3, 8, 2 ]
[ 1, 4, 3 ]
[ 7, 6, 4 ]
[ 4, 7, 6 ]
[ 6, 4, 7 ]
[ 2, 3, 8 ]
[ 4, 3, 8 ]
[ 8, 2, 3 ] - [ 8, 4, 3 ]
[ 3, 1, 4 ] - [ 3, 8, 4 ]
Cartan matrix
(1 0 0 1 0 0 1 0)
(1 1 1 0 0 0 0 0)
(1 0 1 1 0 0 1 1)
(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 1 1 1 0 0 1 1)
Good mutations
vertex 1 -> Algebra 1235 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 931 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 730 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 296 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 660 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
Algebra 722
Quiver
[ 1, 4 ], [ 2, 3 ], [ 3, 1 ], [ 3, 8 ], [ 4, 3 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 7, 6 ], [ 8, 2 ], [ 8, 4 ]
Relations
[ 4, 3, 1 ]
[ 3, 8, 2 ]
[ 1, 4, 3 ]
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
[ 2, 3, 8 ]
[ 4, 3, 8 ]
[ 8, 2, 3 ] - [ 8, 4, 3 ]
[ 3, 1, 4 ] - [ 3, 8, 4 ]
Cartan matrix
(1 0 0 1 0 1 0 0)
(1 1 1 0 0 0 0 0)
(1 0 1 1 0 1 0 1)
(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 1 1 1 0 1 0 1)
Good mutations
vertex 1 -> Algebra 1237 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 933 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 489 permutation [ 1, 4, 2, 3, 6, 5, 7, 8 ]
vertex 7 -> Algebra 296 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 662 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
Algebra 723
Quiver
[ 1, 3 ], [ 2, 3 ], [ 3, 8 ], [ 4, 1 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ], [ 8, 2 ], [ 8, 4 ]
Relations
[ 3, 8, 4, 1 ]
[ 3, 8, 2 ]
[ 1, 3, 8, 4 ]
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
[ 2, 3, 8 ]
[ 4, 1, 3, 8 ]
[ 8, 2, 3 ] - [ 8, 4, 1, 3 ]
Cartan matrix
(1 0 1 0 0 0 0 1)
(0 1 1 0 0 0 0 0)
(0 0 1 1 0 1 1 1)
(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 1 1 1 0 1 1 1)
Good mutations
vertex 1 -> Algebra 296 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 1235 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 1237 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 730
Quiver
[ 1, 4 ], [ 2, 3 ], [ 3, 1 ], [ 3, 8 ], [ 4, 3 ], [ 4, 7 ], [ 5, 4 ], [ 5, 6 ], [ 7, 5 ], [ 8, 2 ], [ 8, 4 ]
Relations
[ 4, 3, 1 ]
[ 3, 8, 2 ]
[ 1, 4, 3 ]
[ 7, 5, 4 ]
[ 4, 7, 5 ]
[ 5, 4, 7 ]
[ 2, 3, 8 ]
[ 4, 3, 8 ]
[ 8, 2, 3 ] - [ 8, 4, 3 ]
[ 3, 1, 4 ] - [ 3, 8, 4 ]
Cartan matrix
(1 0 0 1 0 0 1 0)
(1 1 1 0 0 0 0 0)
(1 0 1 1 0 0 1 1)
(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 1 1 1 0 0 1 1)
Good mutations
vertex 1 -> Algebra 1241 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 940 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 302 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 721 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 666 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
Algebra 732
Quiver
[ 1, 3 ], [ 2, 3 ], [ 3, 8 ], [ 4, 1 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 2 ], [ 8, 4 ]
Relations
[ 3, 8, 4, 1 ]
[ 3, 8, 2 ]
[ 1, 3, 8, 4 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 2, 3, 8 ]
[ 4, 1, 3, 8 ]
[ 8, 2, 3 ] - [ 8, 4, 1, 3 ]
Cartan matrix
(1 0 1 0 0 0 0 1)
(0 1 1 0 0 0 0 0)
(0 0 1 1 1 0 1 1)
(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 1 1 1 1 0 1 1)
Good mutations
vertex 1 -> Algebra 302 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 1241 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 766
Quiver
[ 1, 4 ], [ 2, 3 ], [ 2, 8 ], [ 4, 2 ], [ 4, 7 ], [ 5, 6 ], [ 6, 4 ], [ 7, 6 ], [ 8, 1 ]
Relations
[ 4, 2, 8, 1 ]
[ 8, 1, 4, 2 ]
[ 2, 8, 1, 4 ]
[ 7, 6, 4 ]
[ 4, 7, 6 ]
[ 6, 4, 7 ]
[ 1, 4, 2, 8 ]
Cartan matrix
(1 1 1 1 0 0 1 0)
(1 1 1 0 0 0 0 1)
(0 0 1 0 0 0 0 0)
(0 1 1 1 0 0 1 1)
(0 1 1 1 1 1 0 1)
(0 1 1 1 0 1 0 1)
(0 0 0 0 0 1 1 0)
(1 0 0 1 0 0 1 1)
Good mutations
vertex 2 -> Algebra 831 permutation [ 1, 8, 3, 4, 5, 6, 7, 2 ]
vertex 3 -> Algebra 660 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 772 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 321 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 768
Quiver
[ 1, 4 ], [ 2, 3 ], [ 2, 8 ], [ 4, 2 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 7, 6 ], [ 8, 1 ]
Relations
[ 4, 2, 8, 1 ]
[ 8, 1, 4, 2 ]
[ 2, 8, 1, 4 ]
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
[ 1, 4, 2, 8 ]
Cartan matrix
(1 1 1 1 0 1 0 0)
(1 1 1 0 0 0 0 1)
(0 0 1 0 0 0 0 0)
(0 1 1 1 0 1 0 1)
(0 1 1 1 1 0 0 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(1 0 0 1 0 1 0 1)
Good mutations
vertex 2 -> Algebra 834 permutation [ 1, 8, 3, 4, 5, 6, 7, 2 ]
vertex 3 -> Algebra 662 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 1265 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 321 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 772
Quiver
[ 1, 4 ], [ 2, 3 ], [ 2, 8 ], [ 4, 2 ], [ 4, 7 ], [ 5, 4 ], [ 5, 6 ], [ 7, 5 ], [ 8, 1 ]
Relations
[ 4, 2, 8, 1 ]
[ 8, 1, 4, 2 ]
[ 2, 8, 1, 4 ]
[ 7, 5, 4 ]
[ 4, 7, 5 ]
[ 5, 4, 7 ]
[ 1, 4, 2, 8 ]
Cartan matrix
(1 1 1 1 0 0 1 0)
(1 1 1 0 0 0 0 1)
(0 0 1 0 0 0 0 0)
(0 1 1 1 0 0 1 1)
(0 1 1 1 1 1 0 1)
(0 0 0 0 0 1 0 0)
(0 0 0 0 1 1 1 0)
(1 0 0 1 0 0 1 1)
Good mutations
vertex 2 -> Algebra 839 permutation [ 1, 8, 3, 4, 5, 6, 7, 2 ]
vertex 3 -> Algebra 666 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 324 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 766 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
Algebra 780
Quiver
[ 1, 2 ], [ 2, 4 ], [ 3, 4 ], [ 4, 8 ], [ 5, 1 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 1 ], [ 8, 3 ]
Relations
[ 2, 4, 8, 1 ]
[ 4, 8, 1, 2 ]
[ 4, 8, 3 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 1, 2, 4, 8 ]
[ 3, 4, 8 ]
[ 8, 1, 2, 4 ] - [ 8, 3, 4 ]
Cartan matrix
(1 1 0 1 0 0 0 0)
(0 1 0 1 0 0 0 1)
(0 0 1 1 0 0 0 0)
(1 0 0 1 0 0 0 1)
(1 1 0 1 1 0 1 0)
(1 1 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 1 -> Algebra 330 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 489 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 1237 permutation [ 2, 3, 4, 1, 6, 5, 7, 8 ]
Algebra 788
Quiver
[ 1, 3 ], [ 1, 5 ], [ 2, 8 ], [ 3, 8 ], [ 5, 2 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 1 ], [ 8, 4 ]
Relations
[ 3, 8, 1 ]
[ 5, 2, 8, 1 ]
[ 8, 1, 5, 2 ]
[ 8, 1, 3 ]
[ 2, 8, 1, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 1, 3, 8 ] - [ 1, 5, 2, 8 ]
Cartan matrix
(1 1 1 1 1 0 1 1)
(1 1 0 1 0 0 0 1)
(0 0 1 1 0 0 0 1)
(0 0 0 1 0 0 0 0)
(0 1 0 1 1 0 1 1)
(0 1 0 1 1 1 0 1)
(0 0 0 0 0 1 1 0)
(1 0 0 1 1 0 1 1)
Good mutations
vertex 2 -> Algebra 807 permutation [ 1, 8, 3, 4, 5, 6, 7, 2 ]
vertex 4 -> Algebra 1079 permutation [ 3, 8, 1, 6, 5, 7, 4, 2 ]
vertex 8 -> Algebra 330 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 807
Quiver
[ 1, 3 ], [ 1, 5 ], [ 2, 1 ], [ 2, 4 ], [ 2, 8 ], [ 3, 2 ], [ 5, 2 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 5 ]
Relations
[ 3, 2, 1 ]
[ 5, 2, 1 ]
[ 8, 5, 2 ]
[ 2, 1, 3 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 5, 2, 8 ]
[ 1, 3, 2 ] - [ 1, 5, 2 ]
[ 2, 1, 5 ] - [ 2, 8, 5 ]
Cartan matrix
(1 1 1 1 1 0 1 0)
(1 1 0 1 1 0 1 1)
(0 1 1 1 0 0 0 1)
(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 1 0 1 1)
Good mutations
vertex 1 -> Algebra 826 permutation [ 3, 1, 5, 8, 7, 2, 4, 6 ]
vertex 2 -> Algebra 339 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1299 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 844 permutation [ 1, 4, 3, 2, 5, 6, 7, 8 ]
vertex 8 -> Algebra 788 permutation [ 1, 8, 3, 4, 5, 6, 7, 2 ]
Algebra 808
Quiver
[ 1, 2 ], [ 2, 5 ], [ 3, 2 ], [ 4, 3 ], [ 5, 4 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 5, 4, 3, 2 ]
[ 2, 5, 4, 3 ]
[ 3, 2, 5, 4 ]
[ 4, 3, 2, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
Cartan matrix
(1 1 0 1 1 0 1 0)
(0 1 0 1 1 0 1 0)
(0 1 1 0 1 0 1 0)
(0 1 1 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 1 1 0 1 0 1 1)
Good mutations
vertex 1 -> Algebra 1007 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1301 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 339 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 376 permutation [ 1, 2, 4, 8, 5, 6, 7, 3 ]
Algebra 826
Quiver
[ 1, 2 ], [ 2, 6 ], [ 3, 2 ], [ 3, 5 ], [ 4, 3 ], [ 5, 8 ], [ 6, 4 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 6, 4, 3, 2 ]
[ 2, 6, 4, 3 ]
[ 5, 8, 3 ]
[ 3, 2, 6, 4 ]
[ 8, 3, 5 ]
[ 4, 3, 2, 6 ]
[ 3, 5, 8 ]
Cartan matrix
(1 1 0 1 0 1 1 0)
(0 1 0 1 0 1 1 0)
(0 1 1 0 1 1 1 0)
(0 1 1 1 1 0 0 0)
(0 0 0 0 1 0 0 1)
(0 0 1 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 1021 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 807 permutation [ 2, 6, 1, 7, 3, 8, 5, 4 ]
vertex 6 -> Algebra 1006 permutation [ 6, 2, 1, 7, 3, 8, 5, 4 ]
vertex 7 -> Algebra 1321 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 831
Quiver
[ 1, 4 ], [ 2, 1 ], [ 2, 8 ], [ 3, 8 ], [ 4, 2 ], [ 4, 3 ], [ 4, 7 ], [ 5, 6 ], [ 6, 4 ], [ 7, 6 ], [ 8, 4 ]
Relations
[ 4, 2, 1 ]
[ 1, 4, 2 ]
[ 8, 4, 2 ]
[ 8, 4, 3 ]
[ 3, 8, 4 ]
[ 7, 6, 4 ]
[ 4, 7, 6 ]
[ 6, 4, 7 ]
[ 2, 1, 4 ] - [ 2, 8, 4 ]
[ 4, 2, 8 ] - [ 4, 3, 8 ]
Cartan matrix
(1 0 1 1 0 0 1 0)
(1 1 0 1 0 0 1 1)
(0 0 1 0 0 0 0 1)
(0 1 1 1 0 0 1 1)
(0 1 1 1 1 1 0 1)
(0 1 1 1 0 1 0 1)
(0 0 0 0 0 1 1 0)
(0 0 0 1 0 0 1 1)
Good mutations
vertex 1 -> Algebra 1328 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 350 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 931 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
vertex 5 -> Algebra 839 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 353 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 766 permutation [ 1, 8, 3, 4, 5, 6, 7, 2 ]
Algebra 832
Quiver
[ 1, 2 ], [ 2, 8 ], [ 3, 4 ], [ 4, 2 ], [ 4, 6 ], [ 5, 6 ], [ 6, 3 ], [ 6, 7 ], [ 7, 5 ], [ 8, 3 ]
Relations
[ 8, 3, 4, 2 ]
[ 2, 8, 3, 4 ]
[ 6, 3, 4 ]
[ 6, 7, 5 ]
[ 3, 4, 6 ]
[ 7, 5, 6 ]
[ 5, 6, 7 ]
[ 3, 4, 2, 8 ]
[ 4, 2, 8, 3 ] - [ 4, 6, 3 ]
Cartan matrix
(1 1 1 0 0 0 0 1)
(0 1 1 0 0 0 0 1)
(0 1 1 1 0 0 0 0)
(0 1 1 1 0 1 1 1)
(0 0 1 0 1 1 0 0)
(0 0 1 0 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 1027 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1121 permutation [ 1, 8, 2, 3, 6, 5, 7, 4 ]
vertex 8 -> Algebra 969 permutation [ 1, 2, 3, 8, 6, 5, 7, 4 ]
Algebra 833
Quiver
[ 1, 2 ], [ 2, 4 ], [ 3, 8 ], [ 4, 3 ], [ 5, 6 ], [ 6, 4 ], [ 6, 7 ], [ 7, 5 ], [ 8, 2 ]
Relations
[ 4, 3, 8, 2 ]
[ 8, 2, 4, 3 ]
[ 3, 8, 2, 4 ]
[ 6, 7, 5 ]
[ 7, 5, 6 ]
[ 5, 6, 7 ]
[ 2, 4, 3, 8 ]
Cartan matrix
(1 1 1 1 0 0 0 0)
(0 1 1 1 0 0 0 0)
(0 1 1 0 0 0 0 1)
(0 0 1 1 0 0 0 1)
(0 0 1 1 1 1 0 1)
(0 0 1 1 0 1 1 1)
(0 0 0 0 1 0 1 0)
(0 1 0 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 1028 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1042 permutation [ 1, 4, 2, 8, 6, 5, 7, 3 ]
vertex 4 -> Algebra 969 permutation [ 1, 2, 3, 8, 6, 5, 7, 4 ]
vertex 6 -> Algebra 352 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 834
Quiver
[ 1, 4 ], [ 2, 1 ], [ 2, 8 ], [ 3, 8 ], [ 4, 2 ], [ 4, 3 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 7, 6 ], [ 8, 4 ]
Relations
[ 4, 2, 1 ]
[ 1, 4, 2 ]
[ 8, 4, 2 ]
[ 8, 4, 3 ]
[ 3, 8, 4 ]
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
[ 2, 1, 4 ] - [ 2, 8, 4 ]
[ 4, 2, 8 ] - [ 4, 3, 8 ]
Cartan matrix
(1 0 1 1 0 1 0 0)
(1 1 0 1 0 1 0 1)
(0 0 1 0 0 0 0 1)
(0 1 1 1 0 1 0 1)
(0 1 1 1 1 0 0 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 1 0 1 0 1)
Good mutations
vertex 1 -> Algebra 1330 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 352 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 933 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
vertex 6 -> Algebra 1042 permutation [ 1, 4, 2, 8, 6, 5, 7, 3 ]
vertex 7 -> Algebra 353 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 768 permutation [ 1, 8, 3, 4, 5, 6, 7, 2 ]
Algebra 835
Quiver
[ 1, 2 ], [ 2, 8 ], [ 3, 8 ], [ 4, 1 ], [ 4, 3 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 6, 7 ], [ 8, 4 ]
Relations
[ 2, 8, 4, 1 ]
[ 8, 4, 1, 2 ]
[ 8, 4, 3 ]
[ 1, 2, 8, 4 ]
[ 3, 8, 4 ]
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
[ 4, 1, 2, 8 ] - [ 4, 3, 8 ]
Cartan matrix
(1 1 0 0 0 0 0 1)
(0 1 0 1 0 1 1 1)
(0 0 1 0 0 0 0 1)
(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)
(1 0 0 1 0 1 1 1)
Good mutations
vertex 1 -> Algebra 353 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 512 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 1328 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 1330 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 839
Quiver
[ 1, 4 ], [ 2, 1 ], [ 2, 8 ], [ 3, 8 ], [ 4, 2 ], [ 4, 3 ], [ 4, 7 ], [ 5, 4 ], [ 5, 6 ], [ 7, 5 ], [ 8, 4 ]
Relations
[ 4, 2, 1 ]
[ 1, 4, 2 ]
[ 8, 4, 2 ]
[ 8, 4, 3 ]
[ 3, 8, 4 ]
[ 7, 5, 4 ]
[ 4, 7, 5 ]
[ 5, 4, 7 ]
[ 2, 1, 4 ] - [ 2, 8, 4 ]
[ 4, 2, 8 ] - [ 4, 3, 8 ]
Cartan matrix
(1 0 1 1 0 0 1 0)
(1 1 0 1 0 0 1 1)
(0 0 1 0 0 0 0 1)
(0 1 1 1 0 0 1 1)
(0 1 1 1 1 1 0 1)
(0 0 0 0 0 1 0 0)
(0 0 0 0 1 1 1 0)
(0 0 0 1 0 0 1 1)
Good mutations
vertex 1 -> Algebra 1338 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 356 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 940 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
vertex 5 -> Algebra 359 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 831 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 772 permutation [ 1, 8, 3, 4, 5, 6, 7, 2 ]
Algebra 843
Quiver
[ 1, 2 ], [ 2, 8 ], [ 3, 8 ], [ 4, 1 ], [ 4, 3 ], [ 4, 5 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 4 ]
Relations
[ 2, 8, 4, 1 ]
[ 8, 4, 1, 2 ]
[ 8, 4, 3 ]
[ 1, 2, 8, 4 ]
[ 3, 8, 4 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 4, 1, 2, 8 ] - [ 4, 3, 8 ]
Cartan matrix
(1 1 0 0 0 0 0 1)
(0 1 0 1 1 0 1 1)
(0 0 1 0 0 0 0 1)
(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)
(1 0 0 1 1 0 1 1)
Good mutations
vertex 1 -> Algebra 359 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 518 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1342 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 1338 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 844
Quiver
[ 1, 3 ], [ 1, 5 ], [ 2, 4 ], [ 3, 4 ], [ 4, 1 ], [ 4, 8 ], [ 5, 4 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 5 ]
Relations
[ 3, 4, 1 ]
[ 5, 4, 1 ]
[ 4, 1, 3 ]
[ 8, 5, 4 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 5, 4, 8 ]
[ 1, 3, 4 ] - [ 1, 5, 4 ]
[ 4, 1, 5 ] - [ 4, 8, 5 ]
Cartan matrix
(1 0 1 1 1 0 1 0)
(1 1 0 1 1 0 1 1)
(0 0 1 1 0 0 0 1)
(1 0 0 1 1 0 1 1)
(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 1 0 1 1)
Good mutations
vertex 1 -> Algebra 1321 permutation [ 3, 1, 5, 8, 7, 4, 2, 6 ]
vertex 2 -> Algebra 807 permutation [ 1, 4, 3, 2, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1343 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 359 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 1079 permutation [ 3, 4, 1, 6, 5, 7, 2, 8 ]
Algebra 881
Quiver
[ 1, 5 ], [ 2, 1 ], [ 2, 8 ], [ 3, 8 ], [ 5, 2 ], [ 5, 3 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 4 ], [ 8, 5 ]
Relations
[ 5, 2, 1 ]
[ 1, 5, 2 ]
[ 8, 5, 2 ]
[ 8, 5, 3 ]
[ 3, 8, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 2, 1, 5 ] - [ 2, 8, 5 ]
[ 5, 2, 8 ] - [ 5, 3, 8 ]
Cartan matrix
(1 0 1 0 1 0 1 0)
(1 1 0 1 1 0 1 1)
(0 0 1 1 0 0 0 1)
(0 0 0 1 0 0 0 0)
(0 1 1 1 1 0 1 1)
(0 1 1 1 1 1 0 1)
(0 0 0 0 0 1 1 0)
(0 0 0 1 1 0 1 1)
Good mutations
vertex 1 -> Algebra 1403 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 376 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 907 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
vertex 4 -> Algebra 1301 permutation [ 1, 2, 8, 3, 5, 6, 7, 4 ]
Algebra 907
Quiver
[ 1, 5 ], [ 2, 1 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 5, 2 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 5 ]
Relations
[ 5, 2, 1 ]
[ 1, 5, 2 ]
[ 3, 8, 5, 2 ]
[ 8, 5, 2, 3 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 5, 2, 3, 8 ]
[ 2, 1, 5 ] - [ 2, 3, 8, 5 ]
Cartan matrix
(1 0 0 0 1 0 1 0)
(1 1 1 1 1 0 1 1)
(0 0 1 1 1 0 1 1)
(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 1 0 0 1 0 1 1)
Good mutations
vertex 4 -> Algebra 945 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 8 -> Algebra 881 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
Algebra 931
Quiver
[ 1, 4 ], [ 2, 1 ], [ 2, 3 ], [ 3, 8 ], [ 4, 2 ], [ 4, 7 ], [ 5, 6 ], [ 6, 4 ], [ 7, 6 ], [ 8, 4 ]
Relations
[ 4, 2, 1 ]
[ 1, 4, 2 ]
[ 3, 8, 4, 2 ]
[ 8, 4, 2, 3 ]
[ 7, 6, 4 ]
[ 4, 7, 6 ]
[ 6, 4, 7 ]
[ 4, 2, 3, 8 ]
[ 2, 1, 4 ] - [ 2, 3, 8, 4 ]
Cartan matrix
(1 0 0 1 0 0 1 0)
(1 1 1 1 0 0 1 1)
(0 0 1 1 0 0 1 1)
(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 1 0 1 0 0 1 1)
Good mutations
vertex 3 -> Algebra 721 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 940 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 420 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 831 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
Algebra 933
Quiver
[ 1, 4 ], [ 2, 1 ], [ 2, 3 ], [ 3, 8 ], [ 4, 2 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 7, 6 ], [ 8, 4 ]
Relations
[ 4, 2, 1 ]
[ 1, 4, 2 ]
[ 3, 8, 4, 2 ]
[ 8, 4, 2, 3 ]
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
[ 4, 2, 3, 8 ]
[ 2, 1, 4 ] - [ 2, 3, 8, 4 ]
Cartan matrix
(1 0 0 1 0 1 0 0)
(1 1 1 1 0 1 0 1)
(0 0 1 1 0 1 0 1)
(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 0)
(0 1 0 1 0 1 0 1)
Good mutations
vertex 3 -> Algebra 722 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 524 permutation [ 1, 4, 2, 3, 6, 5, 7, 8 ]
vertex 7 -> Algebra 420 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 834 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
Algebra 940
Quiver
[ 1, 4 ], [ 2, 1 ], [ 2, 3 ], [ 3, 8 ], [ 4, 2 ], [ 4, 7 ], [ 5, 4 ], [ 5, 6 ], [ 7, 5 ], [ 8, 4 ]
Relations
[ 4, 2, 1 ]
[ 1, 4, 2 ]
[ 3, 8, 4, 2 ]
[ 8, 4, 2, 3 ]
[ 7, 5, 4 ]
[ 4, 7, 5 ]
[ 5, 4, 7 ]
[ 4, 2, 3, 8 ]
[ 2, 1, 4 ] - [ 2, 3, 8, 4 ]
Cartan matrix
(1 0 0 1 0 0 1 0)
(1 1 1 1 0 0 1 1)
(0 0 1 1 0 0 1 1)
(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 1 0 1 0 0 1 1)
Good mutations
vertex 3 -> Algebra 730 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 430 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 931 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 839 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
Algebra 944
Quiver
[ 1, 5 ], [ 2, 3 ], [ 2, 4 ], [ 3, 8 ], [ 4, 1 ], [ 4, 8 ], [ 5, 4 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 2 ], [ 8, 5 ]
Relations
[ 5, 4, 1 ]
[ 3, 8, 2 ]
[ 4, 8, 2 ]
[ 8, 2, 3 ]
[ 1, 5, 4 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 5, 4, 8 ]
[ 8, 2, 4 ] - [ 8, 5, 4 ]
[ 4, 1, 5 ] - [ 4, 8, 5 ]
[ 2, 3, 8 ] - [ 2, 4, 8 ]
Cartan matrix
(1 0 0 0 1 0 1 0)
(1 1 1 1 1 0 1 1)
(0 0 1 0 1 0 1 1)
(1 0 0 1 1 0 1 1)
(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 1 0 1 1 0 1 1)
Good mutations
vertex 2 -> Algebra 945 permutation [ 1, 4, 3, 2, 5, 6, 7, 8 ]
vertex 4 -> Algebra 430 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 1343 permutation [ 1, 2, 4, 8, 5, 6, 7, 3 ]
Algebra 945
Quiver
[ 1, 5 ], [ 2, 1 ], [ 2, 4 ], [ 3, 4 ], [ 4, 8 ], [ 5, 2 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 5 ]
Relations
[ 5, 2, 1 ]
[ 1, 5, 2 ]
[ 4, 8, 5, 2 ]
[ 8, 5, 2, 4 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 5, 2, 4, 8 ]
[ 2, 1, 5 ] - [ 2, 4, 8, 5 ]
Cartan matrix
(1 0 0 0 1 0 1 0)
(1 1 0 1 1 0 1 1)
(0 0 1 1 1 0 1 1)
(0 0 0 1 1 0 1 1)
(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 1 0 0 1 0 1 1)
Good mutations
vertex 3 -> Algebra 907 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 4 -> Algebra 944 permutation [ 1, 4, 3, 2, 5, 6, 7, 8 ]
vertex 8 -> Algebra 1301 permutation [ 1, 2, 4, 8, 5, 6, 7, 3 ]
Algebra 969
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 4 ], [ 3, 8 ], [ 4, 2 ], [ 5, 3 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 2 ], [ 8, 5 ]
Relations
[ 4, 2, 3 ]
[ 2, 3, 4 ]
[ 3, 8, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 2, 3, 8 ]
[ 5, 3, 8 ]
[ 3, 4, 2 ] - [ 3, 8, 2 ]
[ 8, 2, 3 ] - [ 8, 5, 3 ]
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(0 1 1 1 0 0 0 1)
(0 1 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 1 1 0 1 0 1 1)
Good mutations
vertex 1 -> Algebra 1142 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1083 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 832 permutation [ 1, 2, 3, 8, 6, 5, 7, 4 ]
vertex 8 -> Algebra 833 permutation [ 1, 2, 3, 8, 6, 5, 7, 4 ]
Algebra 991
Quiver
[ 1, 2 ], [ 2, 8 ], [ 3, 8 ], [ 4, 1 ], [ 5, 2 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 4 ]
Relations
[ 2, 8, 4, 1 ]
[ 8, 4, 1, 2 ]
[ 1, 2, 8, 4 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 4, 1, 2, 8 ]
Cartan matrix
(1 1 0 0 0 0 0 1)
(0 1 0 1 0 0 0 1)
(1 0 1 1 0 0 0 1)
(1 1 0 1 0 0 0 0)
(0 1 0 1 1 0 1 1)
(0 1 0 1 1 1 0 1)
(0 0 0 0 0 1 1 0)
(1 0 0 1 0 0 0 1)
Good mutations
vertex 2 -> Algebra 1006 permutation [ 1, 8, 3, 4, 5, 6, 7, 2 ]
vertex 3 -> Algebra 1265 permutation [ 1, 8, 3, 2, 6, 5, 7, 4 ]
vertex 5 -> Algebra 662 permutation [ 1, 3, 8, 2, 6, 5, 7, 4 ]
vertex 8 -> Algebra 489 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1006
Quiver
[ 1, 2 ], [ 2, 4 ], [ 2, 8 ], [ 3, 2 ], [ 4, 1 ], [ 5, 2 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 1 ], [ 8, 5 ]
Relations
[ 4, 1, 2 ]
[ 1, 2, 4 ]
[ 2, 8, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 1, 2, 8 ]
[ 5, 2, 8 ]
[ 2, 4, 1 ] - [ 2, 8, 1 ]
[ 8, 1, 2 ] - [ 8, 5, 2 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(1 1 0 1 0 0 0 1)
(1 1 1 1 0 0 0 1)
(1 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)
(1 1 0 0 1 0 1 1)
Good mutations
vertex 1 -> Algebra 826 permutation [ 3, 2, 5, 8, 7, 1, 4, 6 ]
vertex 2 -> Algebra 498 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1458 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1037 permutation [ 1, 4, 3, 2, 5, 6, 7, 8 ]
vertex 8 -> Algebra 991 permutation [ 1, 8, 3, 4, 5, 6, 7, 2 ]
Algebra 1007
Quiver
[ 2, 1 ], [ 2, 5 ], [ 3, 2 ], [ 4, 3 ], [ 5, 4 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 5, 4, 3, 2 ]
[ 2, 5, 4, 3 ]
[ 3, 2, 5, 4 ]
[ 4, 3, 2, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 1 1 0 1 0)
(1 1 1 0 1 0 1 0)
(1 1 1 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)
(1 1 1 0 1 0 1 1)
Good mutations
vertex 1 -> Algebra 808 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1459 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 498 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 533 permutation [ 1, 2, 4, 8, 5, 6, 7, 3 ]
Algebra 1021
Quiver
[ 2, 1 ], [ 2, 6 ], [ 3, 2 ], [ 3, 5 ], [ 4, 3 ], [ 5, 8 ], [ 6, 4 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 6, 4, 3, 2 ]
[ 2, 6, 4, 3 ]
[ 5, 8, 3 ]
[ 3, 2, 6, 4 ]
[ 8, 3, 5 ]
[ 4, 3, 2, 6 ]
[ 3, 5, 8 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 1 0 1 1 0)
(1 1 1 0 1 1 1 0)
(1 1 1 1 1 0 0 0)
(0 0 0 0 1 0 0 1)
(0 0 1 1 1 1 1 0)
(0 0 0 0 0 0 1 0)
(1 1 1 0 0 1 1 1)
Good mutations
vertex 1 -> Algebra 826 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1467 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 1458 permutation [ 6, 2, 1, 7, 3, 8, 5, 4 ]
vertex 7 -> Algebra 1465 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1026
Quiver
[ 1, 2 ], [ 2, 8 ], [ 3, 8 ], [ 4, 2 ], [ 4, 3 ], [ 4, 7 ], [ 5, 6 ], [ 6, 4 ], [ 7, 6 ], [ 8, 1 ], [ 8, 4 ]
Relations
[ 2, 8, 1 ]
[ 8, 4, 3 ]
[ 2, 8, 4 ]
[ 3, 8, 4 ]
[ 7, 6, 4 ]
[ 4, 7, 6 ]
[ 6, 4, 7 ]
[ 1, 2, 8 ]
[ 8, 1, 2 ] - [ 8, 4, 2 ]
[ 4, 2, 8 ] - [ 4, 3, 8 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 1)
(1 0 1 0 0 0 0 1)
(0 1 1 1 0 0 1 1)
(0 1 1 1 1 1 0 1)
(0 1 1 1 0 1 0 1)
(0 0 0 0 0 1 1 0)
(1 1 0 1 0 0 1 1)
Good mutations
vertex 1 -> Algebra 1328 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 509 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1109 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
vertex 5 -> Algebra 1033 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 512 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1027
Quiver
[ 2, 1 ], [ 2, 8 ], [ 3, 4 ], [ 4, 2 ], [ 4, 6 ], [ 5, 6 ], [ 6, 3 ], [ 6, 7 ], [ 7, 5 ], [ 8, 3 ]
Relations
[ 8, 3, 4, 2 ]
[ 2, 8, 3, 4 ]
[ 6, 3, 4 ]
[ 6, 7, 5 ]
[ 3, 4, 6 ]
[ 7, 5, 6 ]
[ 5, 6, 7 ]
[ 3, 4, 2, 8 ]
[ 4, 2, 8, 3 ] - [ 4, 6, 3 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 0 0 0 0 1)
(1 1 1 1 0 0 0 0)
(1 1 1 1 0 1 1 1)
(0 0 1 0 1 1 0 0)
(0 0 1 0 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 832 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 1142 permutation [ 2, 1, 3, 8, 6, 5, 7, 4 ]
Algebra 1028
Quiver
[ 2, 1 ], [ 2, 4 ], [ 3, 8 ], [ 4, 3 ], [ 5, 6 ], [ 6, 4 ], [ 6, 7 ], [ 7, 5 ], [ 8, 2 ]
Relations
[ 4, 3, 8, 2 ]
[ 8, 2, 4, 3 ]
[ 3, 8, 2, 4 ]
[ 6, 7, 5 ]
[ 7, 5, 6 ]
[ 5, 6, 7 ]
[ 2, 4, 3, 8 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 1 1 0 0 0 0)
(1 1 1 0 0 0 0 1)
(0 0 1 1 0 0 0 1)
(0 0 1 1 1 1 0 1)
(0 0 1 1 0 1 1 1)
(0 0 0 0 1 0 1 0)
(1 1 0 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 833 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1179 permutation [ 4, 1, 2, 8, 6, 5, 7, 3 ]
vertex 4 -> Algebra 1142 permutation [ 2, 1, 3, 8, 6, 5, 7, 4 ]
vertex 6 -> Algebra 511 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1029
Quiver
[ 1, 2 ], [ 2, 8 ], [ 3, 8 ], [ 4, 2 ], [ 4, 3 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 7, 6 ], [ 8, 1 ], [ 8, 4 ]
Relations
[ 2, 8, 1 ]
[ 8, 4, 3 ]
[ 2, 8, 4 ]
[ 3, 8, 4 ]
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
[ 1, 2, 8 ]
[ 8, 1, 2 ] - [ 8, 4, 2 ]
[ 4, 2, 8 ] - [ 4, 3, 8 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 1)
(1 0 1 0 0 0 0 1)
(0 1 1 1 0 1 0 1)
(0 1 1 1 1 0 0 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(1 1 0 1 0 1 0 1)
Good mutations
vertex 1 -> Algebra 1330 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 511 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1111 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
vertex 6 -> Algebra 1179 permutation [ 4, 1, 2, 8, 6, 5, 7, 3 ]
vertex 7 -> Algebra 512 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1033
Quiver
[ 1, 2 ], [ 2, 8 ], [ 3, 8 ], [ 4, 2 ], [ 4, 3 ], [ 4, 7 ], [ 5, 4 ], [ 5, 6 ], [ 7, 5 ], [ 8, 1 ], [ 8, 4 ]
Relations
[ 2, 8, 1 ]
[ 8, 4, 3 ]
[ 2, 8, 4 ]
[ 3, 8, 4 ]
[ 7, 5, 4 ]
[ 4, 7, 5 ]
[ 5, 4, 7 ]
[ 1, 2, 8 ]
[ 8, 1, 2 ] - [ 8, 4, 2 ]
[ 4, 2, 8 ] - [ 4, 3, 8 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 0 0 0 0 1)
(1 0 1 0 0 0 0 1)
(0 1 1 1 0 0 1 1)
(0 1 1 1 1 1 0 1)
(0 0 0 0 0 1 0 0)
(0 0 0 0 1 1 1 0)
(1 1 0 1 0 0 1 1)
Good mutations
vertex 1 -> Algebra 1338 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 515 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1118 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
vertex 5 -> Algebra 518 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 1026 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
Algebra 1037
Quiver
[ 1, 2 ], [ 2, 4 ], [ 3, 4 ], [ 4, 8 ], [ 5, 4 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 1 ], [ 8, 5 ]
Relations
[ 2, 4, 8, 1 ]
[ 4, 8, 1, 2 ]
[ 4, 8, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 1, 2, 4, 8 ]
[ 5, 4, 8 ]
[ 8, 1, 2, 4 ] - [ 8, 5, 4 ]
Cartan matrix
(1 1 0 1 0 0 0 0)
(0 1 0 1 0 0 0 1)
(1 0 1 1 0 0 0 1)
(1 0 0 1 0 0 0 1)
(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 0 1 1 0 1 1)
Good mutations
vertex 1 -> Algebra 1342 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1006 permutation [ 1, 4, 3, 2, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1264 permutation [ 1, 4, 3, 8, 6, 5, 7, 2 ]
vertex 4 -> Algebra 518 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1042
Quiver
[ 1, 2 ], [ 2, 3 ], [ 2, 8 ], [ 3, 1 ], [ 3, 4 ], [ 4, 2 ], [ 5, 2 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 4 ]
Relations
[ 2, 3, 1 ]
[ 8, 4, 2 ]
[ 1, 2, 3 ]
[ 4, 2, 3 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 4, 2, 8 ]
[ 3, 1, 2 ] - [ 3, 4, 2 ]
[ 2, 3, 4 ] - [ 2, 8, 4 ]
Cartan matrix
(1 1 0 0 0 0 0 1)
(0 1 1 1 0 0 0 1)
(1 1 1 1 0 0 0 0)
(0 1 0 1 0 0 0 0)
(0 1 1 1 1 0 1 1)
(0 1 1 1 1 1 0 1)
(0 0 0 0 0 1 1 0)
(0 0 0 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 1357 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1058 permutation [ 1, 8, 3, 4, 5, 6, 7, 2 ]
vertex 3 -> Algebra 833 permutation [ 1, 3, 8, 2, 6, 5, 7, 4 ]
vertex 4 -> Algebra 1265 permutation [ 1, 4, 8, 2, 6, 5, 7, 3 ]
vertex 5 -> Algebra 834 permutation [ 1, 3, 8, 2, 6, 5, 7, 4 ]
vertex 8 -> Algebra 524 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1058
Quiver
[ 1, 2 ], [ 2, 8 ], [ 3, 8 ], [ 5, 2 ], [ 5, 3 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 1 ], [ 8, 4 ], [ 8, 5 ]
Relations
[ 2, 8, 1 ]
[ 8, 5, 3 ]
[ 2, 8, 5 ]
[ 3, 8, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 1, 2, 8 ]
[ 8, 1, 2 ] - [ 8, 5, 2 ]
[ 5, 2, 8 ] - [ 5, 3, 8 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 1 0 0 0 1)
(1 0 1 1 0 0 0 1)
(0 0 0 1 0 0 0 0)
(0 1 1 1 1 0 1 1)
(0 1 1 1 1 1 0 1)
(0 0 0 0 0 1 1 0)
(1 1 0 1 1 0 1 1)
Good mutations
vertex 1 -> Algebra 1403 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 533 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1083 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
vertex 4 -> Algebra 1459 permutation [ 1, 2, 8, 3, 5, 6, 7, 4 ]
vertex 8 -> Algebra 1042 permutation [ 1, 8, 3, 4, 5, 6, 7, 2 ]
Algebra 1079
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 1 ], [ 3, 5 ], [ 4, 5 ], [ 5, 6 ], [ 5, 8 ], [ 6, 4 ], [ 7, 2 ], [ 8, 2 ]
Relations
[ 2, 3, 1 ]
[ 1, 2, 3 ]
[ 5, 8, 2, 3 ]
[ 5, 6, 4 ]
[ 6, 4, 5 ]
[ 8, 2, 3, 5 ]
[ 4, 5, 6 ]
[ 2, 3, 5, 8 ]
[ 3, 1, 2 ] - [ 3, 5, 8, 2 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 1 0 1 1 0 0)
(1 1 1 0 1 1 0 1)
(0 1 0 1 1 0 0 1)
(0 1 0 0 1 1 0 1)
(0 0 0 1 0 1 0 0)
(0 1 1 0 1 1 1 0)
(0 1 1 0 0 0 0 1)
Good mutations
vertex 2 -> Algebra 547 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 7 -> Algebra 788 permutation [ 3, 8, 1, 7, 5, 4, 6, 2 ]
vertex 8 -> Algebra 844 permutation [ 3, 7, 1, 2, 5, 4, 6, 8 ]
Algebra 1083
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 1 ], [ 3, 4 ], [ 3, 8 ], [ 5, 2 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 5 ]
Relations
[ 2, 3, 1 ]
[ 1, 2, 3 ]
[ 8, 5, 2, 3 ]
[ 2, 3, 8, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 5, 2, 3, 8 ]
[ 3, 1, 2 ] - [ 3, 8, 5, 2 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 1 1 0 0 0 1)
(1 1 1 1 1 0 1 1)
(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 1 0 0 1 0 1 1)
Good mutations
vertex 3 -> Algebra 969 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1122 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 8 -> Algebra 1058 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
Algebra 1109
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 1 ], [ 3, 8 ], [ 4, 2 ], [ 4, 7 ], [ 5, 6 ], [ 6, 4 ], [ 7, 6 ], [ 8, 4 ]
Relations
[ 2, 3, 1 ]
[ 1, 2, 3 ]
[ 8, 4, 2, 3 ]
[ 2, 3, 8, 4 ]
[ 7, 6, 4 ]
[ 4, 7, 6 ]
[ 6, 4, 7 ]
[ 4, 2, 3, 8 ]
[ 3, 1, 2 ] - [ 3, 8, 4, 2 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 1 0 0 0 0 1)
(1 1 1 1 0 0 1 1)
(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 1 0 1 0 0 1 1)
Good mutations
vertex 5 -> Algebra 1118 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 577 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 1026 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
Algebra 1111
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 1 ], [ 3, 8 ], [ 4, 2 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 7, 6 ], [ 8, 4 ]
Relations
[ 2, 3, 1 ]
[ 1, 2, 3 ]
[ 8, 4, 2, 3 ]
[ 2, 3, 8, 4 ]
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
[ 4, 2, 3, 8 ]
[ 3, 1, 2 ] - [ 3, 8, 4, 2 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 1 0 0 0 0 1)
(1 1 1 1 0 1 0 1)
(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 0)
(0 1 0 1 0 1 0 1)
Good mutations
vertex 6 -> Algebra 674 permutation [ 4, 1, 2, 3, 6, 5, 7, 8 ]
vertex 7 -> Algebra 577 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 1029 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
Algebra 1114
Quiver
[ 1, 2 ], [ 2, 4 ], [ 3, 4 ], [ 4, 1 ], [ 4, 5 ], [ 4, 8 ], [ 5, 3 ], [ 6, 2 ], [ 6, 7 ], [ 8, 6 ]
Relations
[ 2, 4, 1 ]
[ 4, 5, 3 ]
[ 1, 2, 4 ]
[ 5, 3, 4 ]
[ 8, 6, 2, 4 ]
[ 3, 4, 5 ]
[ 2, 4, 8, 6 ]
[ 6, 2, 4, 8 ]
[ 4, 1, 2 ] - [ 4, 8, 6, 2 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 1 1 0 0 1)
(1 1 1 1 0 1 1 1)
(1 1 0 1 1 1 1 1)
(0 0 1 0 1 0 0 0)
(0 1 0 1 1 1 1 0)
(0 0 0 0 0 0 1 0)
(0 1 0 0 0 1 1 1)
Good mutations
vertex 6 -> Algebra 1375 permutation [ 1, 8, 7, 6, 4, 3, 5, 2 ]
vertex 7 -> Algebra 1212 permutation [ 6, 1, 2, 3, 4, 5, 7, 8 ]
vertex 8 -> Algebra 1467 permutation [ 1, 2, 4, 8, 5, 6, 7, 3 ]
Algebra 1118
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 1 ], [ 3, 8 ], [ 4, 2 ], [ 4, 7 ], [ 5, 4 ], [ 5, 6 ], [ 7, 5 ], [ 8, 4 ]
Relations
[ 2, 3, 1 ]
[ 1, 2, 3 ]
[ 8, 4, 2, 3 ]
[ 2, 3, 8, 4 ]
[ 7, 5, 4 ]
[ 4, 7, 5 ]
[ 5, 4, 7 ]
[ 4, 2, 3, 8 ]
[ 3, 1, 2 ] - [ 3, 8, 4, 2 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 1 0 0 0 0 1)
(1 1 1 1 0 0 1 1)
(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 1 0 1 0 0 1 1)
Good mutations
vertex 5 -> Algebra 587 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 1109 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 8 -> Algebra 1033 permutation [ 1, 2, 8, 4, 5, 6, 7, 3 ]
Algebra 1121
Quiver
[ 1, 2 ], [ 2, 3 ], [ 2, 4 ], [ 3, 1 ], [ 3, 8 ], [ 4, 8 ], [ 5, 4 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 2 ], [ 8, 5 ]
Relations
[ 2, 3, 1 ]
[ 4, 8, 2 ]
[ 1, 2, 3 ]
[ 8, 2, 3 ]
[ 4, 8, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 5, 4, 8 ]
[ 3, 1, 2 ] - [ 3, 8, 2 ]
[ 8, 2, 4 ] - [ 8, 5, 4 ]
[ 2, 3, 8 ] - [ 2, 4, 8 ]
Cartan matrix
(1 1 0 1 0 0 0 0)
(0 1 1 1 0 0 0 1)
(1 1 1 1 1 0 1 1)
(0 0 0 1 0 0 0 1)
(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 1 0 1 1 0 1 1)
Good mutations
vertex 2 -> Algebra 1122 permutation [ 1, 4, 3, 2, 5, 6, 7, 8 ]
vertex 3 -> Algebra 832 permutation [ 1, 3, 4, 8, 6, 5, 7, 2 ]
vertex 4 -> Algebra 587 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 8 -> Algebra 1264 permutation [ 1, 8, 4, 3, 6, 5, 7, 2 ]
Algebra 1122
Quiver
[ 1, 2 ], [ 2, 4 ], [ 3, 4 ], [ 4, 1 ], [ 4, 8 ], [ 5, 2 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 5 ]
Relations
[ 2, 4, 1 ]
[ 1, 2, 4 ]
[ 8, 5, 2, 4 ]
[ 2, 4, 8, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 5, 2, 4, 8 ]
[ 4, 1, 2 ] - [ 4, 8, 5, 2 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 0 1 0 0 0 1)
(1 1 1 1 1 0 1 1)
(1 1 0 1 1 0 1 1)
(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 1 0 0 1 0 1 1)
Good mutations
vertex 3 -> Algebra 1083 permutation [ 1, 2, 4, 3, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1121 permutation [ 1, 4, 3, 2, 5, 6, 7, 8 ]
vertex 8 -> Algebra 1459 permutation [ 1, 2, 4, 8, 5, 6, 7, 3 ]
Algebra 1142
Quiver
[ 1, 2 ], [ 1, 3 ], [ 3, 4 ], [ 3, 8 ], [ 4, 1 ], [ 5, 3 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 1 ], [ 8, 5 ]
Relations
[ 4, 1, 3 ]
[ 1, 3, 4 ]
[ 3, 8, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 1, 3, 8 ]
[ 5, 3, 8 ]
[ 3, 4, 1 ] - [ 3, 8, 1 ]
[ 8, 1, 3 ] - [ 8, 5, 3 ]
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 1 0 0 0 1)
(1 1 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)
(1 1 1 0 1 0 1 1)
Good mutations
vertex 2 -> Algebra 969 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1027 permutation [ 2, 1, 3, 8, 6, 5, 7, 4 ]
vertex 8 -> Algebra 1028 permutation [ 2, 1, 3, 8, 6, 5, 7, 4 ]
Algebra 1179
Quiver
[ 1, 3 ], [ 1, 8 ], [ 2, 3 ], [ 3, 4 ], [ 4, 1 ], [ 4, 2 ], [ 5, 1 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 4 ]
Relations
[ 3, 4, 1 ]
[ 8, 4, 1 ]
[ 3, 4, 2 ]
[ 2, 3, 4 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 4, 1, 8 ]
[ 4, 1, 3 ] - [ 4, 2, 3 ]
[ 1, 3, 4 ] - [ 1, 8, 4 ]
Cartan matrix
(1 0 1 1 0 0 0 1)
(0 1 1 0 0 0 0 0)
(0 0 1 1 0 0 0 0)
(1 1 1 1 0 0 0 0)
(1 0 1 1 1 0 1 1)
(1 0 1 1 1 1 0 1)
(0 0 0 0 0 1 1 0)
(0 1 0 1 0 0 0 1)
Good mutations
vertex 2 -> Algebra 1357 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1028 permutation [ 2, 3, 8, 1, 6, 5, 7, 4 ]
vertex 5 -> Algebra 1029 permutation [ 2, 3, 8, 1, 6, 5, 7, 4 ]
vertex 8 -> Algebra 674 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1212
Quiver
[ 1, 3 ], [ 2, 3 ], [ 3, 5 ], [ 4, 5 ], [ 5, 2 ], [ 5, 6 ], [ 5, 8 ], [ 6, 4 ], [ 7, 1 ], [ 8, 1 ]
Relations
[ 3, 5, 8, 1 ]
[ 3, 5, 2 ]
[ 5, 6, 4 ]
[ 2, 3, 5 ]
[ 6, 4, 5 ]
[ 8, 1, 3, 5 ]
[ 4, 5, 6 ]
[ 1, 3, 5, 8 ]
[ 5, 2, 3 ] - [ 5, 8, 1, 3 ]
Cartan matrix
(1 0 1 0 1 1 0 0)
(0 1 1 0 0 0 0 0)
(0 0 1 0 1 1 0 1)
(1 1 1 1 1 0 0 1)
(1 1 1 0 1 1 0 1)
(0 0 0 1 0 1 0 0)
(1 0 1 0 1 1 1 0)
(1 0 1 0 0 0 0 1)
Good mutations
vertex 7 -> Algebra 1114 permutation [ 2, 3, 4, 5, 6, 1, 7, 8 ]
vertex 8 -> Algebra 1513 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1235
Quiver
[ 1, 3 ], [ 2, 3 ], [ 3, 8 ], [ 4, 1 ], [ 4, 7 ], [ 5, 6 ], [ 6, 4 ], [ 7, 6 ], [ 8, 2 ], [ 8, 4 ]
Relations
[ 3, 8, 4, 1 ]
[ 3, 8, 2 ]
[ 1, 3, 8, 4 ]
[ 7, 6, 4 ]
[ 4, 7, 6 ]
[ 6, 4, 7 ]
[ 2, 3, 8 ]
[ 4, 1, 3, 8 ]
[ 8, 2, 3 ] - [ 8, 4, 1, 3 ]
Cartan matrix
(1 0 1 0 0 0 0 1)
(0 1 1 0 0 0 0 0)
(0 0 1 1 0 0 1 1)
(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 1 1 1 0 0 1 1)
Good mutations
vertex 1 -> Algebra 721 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 1241 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 723 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1237
Quiver
[ 1, 3 ], [ 2, 3 ], [ 3, 8 ], [ 4, 1 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 7, 6 ], [ 8, 2 ], [ 8, 4 ]
Relations
[ 3, 8, 4, 1 ]
[ 3, 8, 2 ]
[ 1, 3, 8, 4 ]
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
[ 2, 3, 8 ]
[ 4, 1, 3, 8 ]
[ 8, 2, 3 ] - [ 8, 4, 1, 3 ]
Cartan matrix
(1 0 1 0 0 0 0 1)
(0 1 1 0 0 0 0 0)
(0 0 1 1 0 1 0 1)
(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 1 1 1 0 1 0 1)
Good mutations
vertex 1 -> Algebra 722 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 780 permutation [ 4, 1, 2, 3, 6, 5, 7, 8 ]
vertex 7 -> Algebra 723 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1241
Quiver
[ 1, 3 ], [ 2, 3 ], [ 3, 8 ], [ 4, 1 ], [ 4, 7 ], [ 5, 4 ], [ 5, 6 ], [ 7, 5 ], [ 8, 2 ], [ 8, 4 ]
Relations
[ 3, 8, 4, 1 ]
[ 3, 8, 2 ]
[ 1, 3, 8, 4 ]
[ 7, 5, 4 ]
[ 4, 7, 5 ]
[ 5, 4, 7 ]
[ 2, 3, 8 ]
[ 4, 1, 3, 8 ]
[ 8, 2, 3 ] - [ 8, 4, 1, 3 ]
Cartan matrix
(1 0 1 0 0 0 0 1)
(0 1 1 0 0 0 0 0)
(0 0 1 1 0 0 1 1)
(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 1 1 1 0 0 1 1)
Good mutations
vertex 1 -> Algebra 730 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 732 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 1235 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
Algebra 1264
Quiver
[ 1, 8 ], [ 2, 3 ], [ 2, 4 ], [ 4, 1 ], [ 4, 6 ], [ 5, 6 ], [ 6, 2 ], [ 6, 7 ], [ 7, 5 ], [ 8, 2 ]
Relations
[ 8, 2, 4, 1 ]
[ 1, 8, 2, 4 ]
[ 6, 2, 4 ]
[ 6, 7, 5 ]
[ 2, 4, 6 ]
[ 7, 5, 6 ]
[ 5, 6, 7 ]
[ 2, 4, 1, 8 ]
[ 4, 1, 8, 2 ] - [ 4, 6, 2 ]
Cartan matrix
(1 1 1 0 0 0 0 1)
(1 1 1 1 0 0 0 0)
(0 0 1 0 0 0 0 0)
(1 1 1 1 0 1 1 1)
(0 1 1 0 1 1 0 0)
(0 1 1 0 0 1 1 0)
(0 0 0 0 1 0 1 0)
(0 1 1 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 1503 permutation [ 2, 3, 4, 5, 6, 7, 1, 8 ]
vertex 2 -> Algebra 1121 permutation [ 1, 8, 4, 3, 6, 5, 7, 2 ]
vertex 3 -> Algebra 1037 permutation [ 1, 8, 3, 2, 6, 5, 7, 4 ]
vertex 8 -> Algebra 1458 permutation [ 1, 2, 3, 8, 6, 5, 7, 4 ]
Algebra 1265
Quiver
[ 1, 4 ], [ 2, 3 ], [ 2, 8 ], [ 4, 2 ], [ 5, 6 ], [ 6, 4 ], [ 6, 7 ], [ 7, 5 ], [ 8, 1 ]
Relations
[ 4, 2, 8, 1 ]
[ 8, 1, 4, 2 ]
[ 2, 8, 1, 4 ]
[ 6, 7, 5 ]
[ 7, 5, 6 ]
[ 5, 6, 7 ]
[ 1, 4, 2, 8 ]
Cartan matrix
(1 1 1 1 0 0 0 0)
(1 1 1 0 0 0 0 1)
(0 0 1 0 0 0 0 0)
(0 1 1 1 0 0 0 1)
(0 1 1 1 1 1 0 1)
(0 1 1 1 0 1 1 1)
(0 0 0 0 1 0 1 0)
(1 0 0 1 0 0 0 1)
Good mutations
vertex 2 -> Algebra 1042 permutation [ 1, 4, 8, 2, 6, 5, 7, 3 ]
vertex 3 -> Algebra 991 permutation [ 1, 4, 3, 8, 6, 5, 7, 2 ]
vertex 4 -> Algebra 1458 permutation [ 1, 2, 3, 8, 6, 5, 7, 4 ]
vertex 6 -> Algebra 768 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1299
Quiver
[ 1, 5 ], [ 2, 3 ], [ 2, 4 ], [ 2, 8 ], [ 3, 1 ], [ 5, 2 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 5 ]
Relations
[ 5, 2, 3, 1 ]
[ 3, 1, 5, 2 ]
[ 8, 5, 2 ]
[ 1, 5, 2, 3 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 5, 2, 8 ]
[ 2, 3, 1, 5 ] - [ 2, 8, 5 ]
Cartan matrix
(1 1 0 1 1 0 1 0)
(1 1 1 1 1 0 1 1)
(1 0 1 0 1 0 1 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 1 0 1 1)
Good mutations
vertex 1 -> Algebra 1467 permutation [ 1, 3, 5, 8, 7, 2, 4, 6 ]
vertex 2 -> Algebra 1301 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 807 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1343 permutation [ 1, 4, 3, 2, 5, 6, 7, 8 ]
Algebra 1301
Quiver
[ 1, 5 ], [ 2, 1 ], [ 2, 3 ], [ 3, 5 ], [ 4, 3 ], [ 5, 2 ], [ 5, 4 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 5, 2, 1 ]
[ 1, 5, 2 ]
[ 3, 5, 2 ]
[ 3, 5, 4 ]
[ 4, 3, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 5, 2, 3 ] - [ 5, 4, 3 ]
[ 2, 1, 5 ] - [ 2, 3, 5 ]
Cartan matrix
(1 0 0 1 1 0 1 0)
(1 1 1 0 1 0 1 0)
(0 0 1 0 1 0 1 0)
(0 0 1 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 1 0 1 0 1 1)
Good mutations
vertex 1 -> Algebra 1533 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 808 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1299 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 945 permutation [ 1, 2, 8, 3, 5, 6, 7, 4 ]
vertex 8 -> Algebra 881 permutation [ 1, 2, 4, 8, 5, 6, 7, 3 ]
Algebra 1321
Quiver
[ 1, 2 ], [ 2, 6 ], [ 3, 2 ], [ 3, 5 ], [ 4, 3 ], [ 5, 8 ], [ 6, 4 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 6, 4, 3, 2 ]
[ 2, 6, 4, 3 ]
[ 5, 8, 3 ]
[ 3, 2, 6, 4 ]
[ 8, 3, 5 ]
[ 4, 3, 2, 6 ]
[ 3, 5, 8 ]
Cartan matrix
(1 1 0 1 0 1 0 0)
(0 1 0 1 0 1 0 0)
(0 1 1 0 1 1 0 0)
(0 1 1 1 1 0 0 0)
(0 0 0 0 1 0 0 1)
(0 0 1 1 1 1 0 0)
(0 0 1 1 1 1 1 0)
(0 1 1 0 0 1 0 1)
Good mutations
vertex 1 -> Algebra 1465 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 844 permutation [ 2, 7, 1, 6, 3, 8, 5, 4 ]
vertex 6 -> Algebra 1342 permutation [ 6, 7, 1, 2, 3, 8, 5, 4 ]
vertex 7 -> Algebra 826 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1328
Quiver
[ 1, 2 ], [ 2, 8 ], [ 3, 8 ], [ 4, 1 ], [ 4, 3 ], [ 4, 7 ], [ 5, 6 ], [ 6, 4 ], [ 7, 6 ], [ 8, 4 ]
Relations
[ 2, 8, 4, 1 ]
[ 8, 4, 1, 2 ]
[ 8, 4, 3 ]
[ 1, 2, 8, 4 ]
[ 3, 8, 4 ]
[ 7, 6, 4 ]
[ 4, 7, 6 ]
[ 6, 4, 7 ]
[ 4, 1, 2, 8 ] - [ 4, 3, 8 ]
Cartan matrix
(1 1 0 0 0 0 0 1)
(0 1 0 1 0 0 1 1)
(0 0 1 0 0 0 0 1)
(1 1 1 1 0 0 1 1)
(1 1 1 1 1 1 0 1)
(1 1 1 1 0 1 0 1)
(0 0 0 0 0 1 1 0)
(1 0 0 1 0 0 1 1)
Good mutations
vertex 1 -> Algebra 831 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1026 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 1338 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex 6 -> Algebra 835 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1330
Quiver
[ 1, 2 ], [ 2, 8 ], [ 3, 8 ], [ 4, 1 ], [ 4, 3 ], [ 4, 6 ], [ 5, 4 ], [ 6, 5 ], [ 7, 6 ], [ 8, 4 ]
Relations
[ 2, 8, 4, 1 ]
[ 8, 4, 1, 2 ]
[ 8, 4, 3 ]
[ 1, 2, 8, 4 ]
[ 3, 8, 4 ]
[ 6, 5, 4 ]
[ 4, 6, 5 ]
[ 5, 4, 6 ]
[ 4, 1, 2, 8 ] - [ 4, 3, 8 ]
Cartan matrix
(1 1 0 0 0 0 0 1)
(0 1 0 1 0 1 0 1)
(0 0 1 0 0 0 0 1)
(1 1 1 1 0 1 0 1)
(1 1 1 1 1 0 0 1)
(0 0 0 0 1 1 0 0)
(0 0 0 0 1 1 1 0)
(1 0 0 1 0 1 0 1)
Good mutations
vertex 1 -> Algebra 834 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1029 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 1357 permutation [ 4, 1, 2, 8, 6, 5, 7, 3 ]
vertex 7 -> Algebra 835 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1338
Quiver
[ 1, 2 ], [ 2, 8 ], [ 3, 8 ], [ 4, 1 ], [ 4, 3 ], [ 4, 7 ], [ 5, 4 ], [ 5, 6 ], [ 7, 5 ], [ 8, 4 ]
Relations
[ 2, 8, 4, 1 ]
[ 8, 4, 1, 2 ]
[ 8, 4, 3 ]
[ 1, 2, 8, 4 ]
[ 3, 8, 4 ]
[ 7, 5, 4 ]
[ 4, 7, 5 ]
[ 5, 4, 7 ]
[ 4, 1, 2, 8 ] - [ 4, 3, 8 ]
Cartan matrix
(1 1 0 0 0 0 0 1)
(0 1 0 1 0 0 1 1)
(0 0 1 0 0 0 0 1)
(1 1 1 1 0 0 1 1)
(1 1 1 1 1 1 0 1)
(0 0 0 0 0 1 0 0)
(0 0 0 0 1 1 1 0)
(1 0 0 1 0 0 1 1)
Good mutations
vertex 1 -> Algebra 839 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1033 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 843 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 6 -> Algebra 1328 permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
Algebra 1342
Quiver
[ 1, 2 ], [ 1, 4 ], [ 2, 8 ], [ 3, 4 ], [ 4, 8 ], [ 5, 4 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 1 ], [ 8, 5 ]
Relations
[ 2, 8, 1 ]
[ 4, 8, 1 ]
[ 8, 1, 2 ]
[ 4, 8, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 5, 4, 8 ]
[ 8, 1, 4 ] - [ 8, 5, 4 ]
[ 1, 2, 8 ] - [ 1, 4, 8 ]
Cartan matrix
(1 1 0 1 0 0 0 1)
(0 1 0 0 1 0 1 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 1 1 1 0 0)
(0 0 0 0 0 1 1 0)
(1 0 0 1 1 0 1 1)
Good mutations
vertex 1 -> Algebra 1321 permutation [ 3, 4, 5, 8, 7, 1, 2, 6 ]
vertex 2 -> Algebra 1037 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1503 permutation [ 4, 3, 8, 6, 5, 7, 2, 1 ]
vertex 4 -> Algebra 843 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1343
Quiver
[ 1, 5 ], [ 2, 4 ], [ 3, 1 ], [ 4, 3 ], [ 4, 8 ], [ 5, 4 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 5 ]
Relations
[ 5, 4, 3, 1 ]
[ 1, 5, 4, 3 ]
[ 3, 1, 5, 4 ]
[ 8, 5, 4 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 5, 4, 8 ]
[ 4, 3, 1, 5 ] - [ 4, 8, 5 ]
Cartan matrix
(1 0 0 1 1 0 1 0)
(1 1 1 1 1 0 1 1)
(1 0 1 0 1 0 1 0)
(1 0 1 1 1 0 1 1)
(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 1 0 1 1)
Good mutations
vertex 1 -> Algebra 1513 permutation [ 4, 1, 3, 6, 5, 7, 2, 8 ]
vertex 2 -> Algebra 1299 permutation [ 1, 4, 3, 2, 5, 6, 7, 8 ]
vertex 3 -> Algebra 844 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 944 permutation [ 1, 2, 8, 3, 5, 6, 7, 4 ]
Algebra 1357
Quiver
[ 1, 2 ], [ 1, 8 ], [ 2, 3 ], [ 3, 4 ], [ 4, 1 ], [ 5, 1 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 4 ]
Relations
[ 2, 3, 4, 1 ]
[ 8, 4, 1 ]
[ 3, 4, 1, 2 ]
[ 4, 1, 2, 3 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 4, 1, 8 ]
[ 1, 2, 3, 4 ] - [ 1, 8, 4 ]
Cartan matrix
(1 1 1 1 0 0 0 1)
(0 1 1 1 0 0 0 0)
(1 0 1 1 0 0 0 0)
(1 1 0 1 0 0 0 0)
(1 1 1 1 1 0 1 1)
(1 1 1 1 1 1 0 1)
(0 0 0 0 0 1 1 0)
(0 0 0 1 0 0 0 1)
Good mutations
vertex 1 -> Algebra 1375 permutation [ 8, 2, 3, 4, 5, 6, 7, 1 ]
vertex 2 -> Algebra 1042 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1179 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 5 -> Algebra 1330 permutation [ 2, 3, 8, 1, 6, 5, 7, 4 ]
Algebra 1375
Quiver
[ 1, 8 ], [ 2, 3 ], [ 2, 8 ], [ 3, 4 ], [ 4, 2 ], [ 5, 1 ], [ 5, 2 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 4 ], [ 8, 5 ]
Relations
[ 8, 5, 1 ]
[ 3, 4, 2 ]
[ 4, 2, 3 ]
[ 1, 8, 5 ]
[ 2, 8, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 4, 2, 8 ]
[ 8, 4, 2 ] - [ 8, 5, 2 ]
[ 2, 3, 4 ] - [ 2, 8, 4 ]
[ 5, 1, 8 ] - [ 5, 2, 8 ]
Cartan matrix
(1 0 0 1 0 0 0 1)
(0 1 1 1 0 0 0 1)
(0 0 1 1 0 0 0 0)
(0 1 0 1 0 0 0 0)
(1 1 1 1 1 0 1 1)
(1 1 1 1 1 1 0 1)
(0 0 0 0 0 1 1 0)
(0 1 0 1 1 0 1 1)
Good mutations
vertex 2 -> Algebra 1403 permutation [ 1, 8, 3, 4, 5, 6, 7, 2 ]
vertex 4 -> Algebra 1114 permutation [ 1, 8, 6, 5, 7, 4, 3, 2 ]
vertex 8 -> Algebra 1357 permutation [ 8, 2, 3, 4, 5, 6, 7, 1 ]
Algebra 1403
Quiver
[ 1, 2 ], [ 2, 8 ], [ 3, 8 ], [ 5, 1 ], [ 5, 3 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 4 ], [ 8, 5 ]
Relations
[ 2, 8, 5, 1 ]
[ 8, 5, 1, 2 ]
[ 8, 5, 3 ]
[ 1, 2, 8, 5 ]
[ 3, 8, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 5, 1, 2, 8 ] - [ 5, 3, 8 ]
Cartan matrix
(1 1 0 1 0 0 0 1)
(0 1 0 1 1 0 1 1)
(0 0 1 1 0 0 0 1)
(0 0 0 1 0 0 0 0)
(1 1 1 1 1 0 1 1)
(1 1 1 1 1 1 0 1)
(0 0 0 0 0 1 1 0)
(1 0 0 1 1 0 1 1)
Good mutations
vertex 1 -> Algebra 881 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1058 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1533 permutation [ 1, 2, 8, 3, 5, 6, 7, 4 ]
vertex 8 -> Algebra 1375 permutation [ 1, 8, 3, 4, 5, 6, 7, 2 ]
Algebra 1458
Quiver
[ 1, 2 ], [ 2, 3 ], [ 2, 4 ], [ 2, 8 ], [ 4, 1 ], [ 5, 2 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 1 ], [ 8, 5 ]
Relations
[ 4, 1, 2 ]
[ 1, 2, 4 ]
[ 2, 8, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 1, 2, 8 ]
[ 5, 2, 8 ]
[ 2, 4, 1 ] - [ 2, 8, 1 ]
[ 8, 1, 2 ] - [ 8, 5, 2 ]
Cartan matrix
(1 1 1 0 0 0 0 0)
(1 1 1 1 0 0 0 1)
(0 0 1 0 0 0 0 0)
(1 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)
(1 1 1 0 1 0 1 1)
Good mutations
vertex 1 -> Algebra 1021 permutation [ 3, 2, 5, 8, 7, 1, 4, 6 ]
vertex 2 -> Algebra 1459 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1006 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1264 permutation [ 1, 2, 3, 8, 6, 5, 7, 4 ]
vertex 8 -> Algebra 1265 permutation [ 1, 2, 3, 8, 6, 5, 7, 4 ]
Algebra 1459
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 1 ], [ 3, 5 ], [ 4, 3 ], [ 5, 2 ], [ 5, 4 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 2, 3, 1 ]
[ 1, 2, 3 ]
[ 3, 5, 4 ]
[ 2, 3, 5 ]
[ 4, 3, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 3, 1, 2 ] - [ 3, 5, 2 ]
[ 5, 2, 3 ] - [ 5, 4, 3 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 1 0 0 0 0 0)
(1 1 1 0 1 0 1 0)
(1 0 1 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)
(1 1 1 0 1 0 1 1)
Good mutations
vertex 1 -> Algebra 1533 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1007 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1458 permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1122 permutation [ 1, 2, 8, 3, 5, 6, 7, 4 ]
vertex 8 -> Algebra 1058 permutation [ 1, 2, 4, 8, 5, 6, 7, 3 ]
Algebra 1465
Quiver
[ 2, 1 ], [ 2, 6 ], [ 3, 2 ], [ 3, 5 ], [ 4, 3 ], [ 5, 8 ], [ 6, 4 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 6, 4, 3, 2 ]
[ 2, 6, 4, 3 ]
[ 5, 8, 3 ]
[ 3, 2, 6, 4 ]
[ 8, 3, 5 ]
[ 4, 3, 2, 6 ]
[ 3, 5, 8 ]
Cartan matrix
(1 0 0 0 0 0 0 0)
(1 1 0 1 0 1 0 0)
(1 1 1 0 1 1 0 0)
(1 1 1 1 1 0 0 0)
(0 0 0 0 1 0 0 1)
(0 0 1 1 1 1 0 0)
(0 0 1 1 1 1 1 0)
(1 1 1 0 0 1 0 1)
Good mutations
vertex 1 -> Algebra 1321 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1513 permutation [ 6, 1, 2, 8, 3, 5, 7, 4 ]
vertex 6 -> Algebra 1503 permutation [ 2, 1, 4, 8, 3, 5, 7, 6 ]
vertex 7 -> Algebra 1021 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1467
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 1 ], [ 3, 5 ], [ 3, 6 ], [ 4, 3 ], [ 5, 8 ], [ 6, 2 ], [ 6, 4 ], [ 6, 7 ], [ 8, 3 ]
Relations
[ 2, 3, 1 ]
[ 1, 2, 3 ]
[ 5, 8, 3 ]
[ 3, 6, 4 ]
[ 8, 3, 5 ]
[ 2, 3, 6 ]
[ 4, 3, 6 ]
[ 3, 5, 8 ]
[ 3, 1, 2 ] - [ 3, 6, 2 ]
[ 6, 2, 3 ] - [ 6, 4, 3 ]
Cartan matrix
(1 1 0 0 0 0 0 0)
(0 1 1 0 1 0 0 0)
(1 1 1 0 1 1 1 0)
(1 0 1 1 1 0 0 0)
(0 0 0 0 1 0 0 1)
(0 1 1 1 1 1 1 0)
(0 0 0 0 0 0 1 0)
(1 1 1 0 0 1 1 1)
Good mutations
vertex 1 -> Algebra 1299 permutation [ 1, 6, 2, 7, 3, 8, 5, 4 ]
vertex 2 -> Algebra 1021 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 4 -> Algebra 1114 permutation [ 1, 2, 8, 3, 5, 6, 7, 4 ]
vertex 6 -> Algebra 1533 permutation [ 1, 2, 6, 7, 3, 8, 5, 4 ]
vertex 7 -> Algebra 1513 permutation [ 6, 1, 2, 8, 3, 5, 7, 4 ]
Algebra 1503
Quiver
[ 1, 2 ], [ 1, 3 ], [ 3, 5 ], [ 3, 8 ], [ 4, 5 ], [ 5, 1 ], [ 5, 6 ], [ 6, 4 ], [ 7, 3 ], [ 8, 1 ], [ 8, 7 ]
Relations
[ 5, 1, 3 ]
[ 5, 6, 4 ]
[ 1, 3, 5 ]
[ 6, 4, 5 ]
[ 4, 5, 6 ]
[ 3, 8, 7 ]
[ 1, 3, 8 ]
[ 7, 3, 8 ]
[ 3, 5, 1 ] - [ 3, 8, 1 ]
[ 8, 1, 3 ] - [ 8, 7, 3 ]
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 0 0 0 0 0 0)
(1 1 1 0 1 1 0 1)
(1 1 0 1 1 0 0 0)
(1 1 0 0 1 1 0 0)
(0 0 0 1 0 1 0 0)
(0 0 1 0 1 1 1 0)
(1 1 1 0 0 0 1 1)
Good mutations
vertex 2 -> Algebra 1342 permutation [ 8, 7, 2, 1, 5, 4, 6, 3 ]
vertex 7 -> Algebra 1264 permutation [ 7, 1, 2, 3, 4, 5, 6, 8 ]
vertex 8 -> Algebra 1465 permutation [ 2, 1, 5, 3, 6, 8, 7, 4 ]
Algebra 1513
Quiver
[ 1, 3 ], [ 1, 8 ], [ 2, 3 ], [ 3, 5 ], [ 4, 5 ], [ 5, 1 ], [ 5, 2 ], [ 5, 6 ], [ 6, 4 ], [ 7, 1 ], [ 8, 5 ]
Relations
[ 3, 5, 1 ]
[ 8, 5, 1 ]
[ 3, 5, 2 ]
[ 5, 6, 4 ]
[ 2, 3, 5 ]
[ 6, 4, 5 ]
[ 4, 5, 6 ]
[ 5, 1, 8 ]
[ 5, 1, 3 ] - [ 5, 2, 3 ]
[ 1, 3, 5 ] - [ 1, 8, 5 ]
Cartan matrix
(1 0 1 0 1 1 0 1)
(0 1 1 0 0 0 0 0)
(0 0 1 0 1 1 0 0)
(1 1 1 1 1 0 0 0)
(1 1 1 0 1 1 0 0)
(0 0 0 1 0 1 0 0)
(1 0 1 0 1 1 1 1)
(0 1 0 0 1 1 0 1)
Good mutations
vertex 2 -> Algebra 1343 permutation [ 2, 7, 3, 1, 5, 4, 6, 8 ]
vertex 3 -> Algebra 1465 permutation [ 2, 3, 5, 8, 6, 1, 7, 4 ]
vertex 7 -> Algebra 1467 permutation [ 2, 3, 5, 8, 6, 1, 7, 4 ]
vertex 8 -> Algebra 1212 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
Algebra 1533
Quiver
[ 1, 2 ], [ 2, 3 ], [ 3, 5 ], [ 4, 3 ], [ 5, 1 ], [ 5, 4 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
Relations
[ 2, 3, 5, 1 ]
[ 3, 5, 1, 2 ]
[ 3, 5, 4 ]
[ 1, 2, 3, 5 ]
[ 4, 3, 5 ]
[ 7, 6, 5 ]
[ 5, 7, 6 ]
[ 6, 5, 7 ]
[ 5, 1, 2, 3 ] - [ 5, 4, 3 ]
Cartan matrix
(1 1 1 0 0 0 0 0)
(0 1 1 0 1 0 1 0)
(1 0 1 0 1 0 1 0)
(0 0 1 1 0 0 0 0)
(1 1 1 1 1 0 1 0)
(1 1 1 1 1 1 0 0)
(0 0 0 0 0 1 1 0)
(1 0 1 0 1 0 1 1)
Good mutations
vertex 1 -> Algebra 1301 permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex 2 -> Algebra 1459 permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex 3 -> Algebra 1467 permutation [ 1, 2, 5, 8, 7, 3, 4, 6 ]
vertex 8 -> Algebra 1403 permutation [ 1, 2, 4, 8, 5, 6, 7, 3 ]