### Algebra 86

#### Quiver

```[ 1, 3 ], [ 2, 1 ], [ 3, 2 ], [ 3, 5 ], [ 3, 8 ], [ 4, 3 ], [ 5, 4 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ]
```

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  5 -> Algebra  281    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra  283    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 281

#### Quiver

```[ 1, 3 ], [ 2, 1 ], [ 3, 2 ], [ 3, 7 ], [ 3, 8 ], [ 4, 5 ], [ 5, 3 ], [ 5, 6 ], [ 6, 4 ], [ 7, 5 ]
```

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  5 -> Algebra   86    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra  699    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 283

#### Quiver

```[ 1, 3 ], [ 2, 1 ], [ 3, 2 ], [ 3, 5 ], [ 4, 3 ], [ 5, 4 ], [ 5, 7 ], [ 6, 5 ], [ 7, 6 ], [ 8, 3 ]
```

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  5 -> Algebra  699    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra   86    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 699

#### Quiver

```[ 1, 3 ], [ 2, 1 ], [ 3, 2 ], [ 3, 7 ], [ 4, 5 ], [ 5, 3 ], [ 5, 6 ], [ 6, 4 ], [ 7, 5 ], [ 8, 3 ]
```

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  5 -> Algebra  283    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra  281    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```