### Algebra 1

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra    2    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra    8    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra    9    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 2

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra    1    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra   10    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra   15    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra   16    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 8

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra   15    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra   42    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra    1    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra   43    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 9

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra   16    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra   43    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra    1    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 10

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra   17    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra    2    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra   45    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra   49    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra   50    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 15

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra    8    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra   49    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra   69    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra    2    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra   70    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 16

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra    9    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra   50    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra   70    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra    2    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 17

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra   10    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra   72    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra   76    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra   77    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 40

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra   67    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  148    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra   42    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  149    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 42

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra   69    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  151    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra    8    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra   40    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  152    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 43

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra   70    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  152    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra    9    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra    8    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 45

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra   72    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra   10    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  156    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  159    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra  160    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 49

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra   76    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra   15    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  159    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  173    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra   10    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra  174    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 50

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra   77    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra   16    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  174    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra   10    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 67

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra   40    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  171    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  224    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra   69    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  225    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 69

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra   42    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  173    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  227    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra   15    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra   67    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  228    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 70

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra   43    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  174    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  228    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra   16    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra   15    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 72

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra   78    permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra   45    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra   17    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  232    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  235    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra  236    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 76

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra   49    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  235    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  249    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra   17    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra  250    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 77

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra   50    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  250    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra   17    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 78

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra   99    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra   72    permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  252    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  255    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra  256    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 99

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  3 -> Algebra   78    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  308    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  311    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra  312    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 140

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  216    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  414    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  146    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra  415    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 146

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  222    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  424    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  148    permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex  6 -> Algebra  140    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra  425    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 148

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  224    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  427    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra   40    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  151    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  7 -> Algebra  146    permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex  8 -> Algebra  428    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 149

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  225    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  428    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  152    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra   40    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 151

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  227    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  160    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra   42    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  148    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  156    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 152

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  228    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  156    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra   43    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  149    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra   42    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 156

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  232    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra   45    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  152    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  428    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  151    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 159

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  235    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra   49    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  428    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  6 -> Algebra  443    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra   45    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra  427    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
```

### Algebra 160

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  236    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  151    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  427    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra   45    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 171

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  247    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra   67    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  442    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  470    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  173    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  471    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 173

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  249    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra   69    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  443    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  473    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra   49    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  171    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  474    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 174

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  250    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra   70    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  474    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra   50    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra   49    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 216

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  140    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  462    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  571    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  222    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra  572    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 222

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  146    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  468    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  581    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  224    permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex  6 -> Algebra  216    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra  582    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 224

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  148    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  470    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  584    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra   67    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  227    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  7 -> Algebra  222    permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex  8 -> Algebra  585    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 225

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  149    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  471    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  585    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  228    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra   67    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 227

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  151    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  473    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  236    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra   69    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  224    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  232    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 228

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  152    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  474    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  232    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra   70    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  225    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra   69    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 232

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  252    permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  156    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra   72    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  228    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  585    permutation [ 2, 1, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  227    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 235

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  255    permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  159    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra   76    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  585    permutation [ 2, 1, 3, 4, 5, 7, 6, 8 ]
vertex  6 -> Algebra  599    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra   72    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra  584    permutation [ 2, 1, 3, 4, 5, 7, 6, 8 ]
```

### Algebra 236

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  256    permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  160    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  227    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  584    permutation [ 2, 1, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra   72    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 247

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  171    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  598    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  626    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  249    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  627    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 249

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  173    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  599    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  629    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra   76    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  247    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  630    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 250

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  174    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  630    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra   77    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra   76    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 252

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  308    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  232    permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra   78    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  474    permutation [ 2, 3, 1, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  634    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra  473    permutation [ 2, 3, 1, 4, 5, 6, 7, 8 ]
```

### Algebra 255

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  311    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  235    permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  634    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  642    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra   78    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra  643    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 256

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  312    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  236    permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  473    permutation [ 2, 3, 1, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  643    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra   78    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 308

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  3 -> Algebra  252    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra   99    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  630    permutation [ 2, 3, 1, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  740    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra  629    permutation [ 2, 3, 1, 4, 5, 6, 7, 8 ]
```

### Algebra 311

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  3 -> Algebra  255    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  740    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  748    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra   99    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra  749    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 312

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  3 -> Algebra  256    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  629    permutation [ 2, 3, 1, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  749    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra   99    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 385

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  542    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  406    permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex  8 -> Algebra  898    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 406

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  563    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  412    permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex  5 -> Algebra  385    permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex  8 -> Algebra  923    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 412

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  569    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  414    permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex  5 -> Algebra  422    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  6 -> Algebra  406    permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex  8 -> Algebra  928    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 414

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  571    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  140    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  424    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  7 -> Algebra  412    permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex  8 -> Algebra  442    permutation [ 1, 2, 3, 4, 7, 5, 6, 8 ]
```

### Algebra 415

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  572    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  442    permutation [ 1, 2, 3, 4, 7, 5, 6, 8 ]
vertex  5 -> Algebra  425    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra  140    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 422

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  579    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  424    permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex  6 -> Algebra  412    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra  938    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 424

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  581    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  146    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  427    permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex  6 -> Algebra  414    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  7 -> Algebra  422    permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex  8 -> Algebra  443    permutation [ 1, 2, 3, 4, 7, 5, 6, 8 ]
```

### Algebra 425

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  582    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  443    permutation [ 1, 2, 3, 4, 7, 5, 6, 8 ]
vertex  5 -> Algebra  428    permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex  6 -> Algebra  415    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra  146    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 427

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  584    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  148    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  160    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  7 -> Algebra  424    permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex  8 -> Algebra  159    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
```

### Algebra 428

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  585    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  159    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  5 -> Algebra  149    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  156    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  7 -> Algebra  425    permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex  8 -> Algebra  148    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 442

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  598    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  171    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  415    permutation [ 1, 2, 3, 4, 6, 7, 5, 8 ]
vertex  5 -> Algebra  928    permutation [ 1, 2, 3, 5, 6, 7, 4, 8 ]
vertex  6 -> Algebra  443    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  414    permutation [ 1, 2, 3, 4, 6, 7, 5, 8 ]
```

### Algebra 443

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  599    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  173    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  425    permutation [ 1, 2, 3, 4, 6, 7, 5, 8 ]
vertex  5 -> Algebra  938    permutation [ 1, 2, 3, 5, 6, 7, 4, 8 ]
vertex  6 -> Algebra  159    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  442    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  424    permutation [ 1, 2, 3, 4, 6, 7, 5, 8 ]
```

### Algebra 462

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  618    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  216    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  898    permutation [ 1, 2, 3, 5, 6, 7, 4, 8 ]
vertex  4 -> Algebra  979    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  468    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra  980    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 468

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  624    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  222    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  923    permutation [ 1, 2, 3, 5, 6, 7, 4, 8 ]
vertex  4 -> Algebra  983    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  470    permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex  6 -> Algebra  462    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra  984    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 470

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  626    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  224    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  928    permutation [ 1, 2, 3, 5, 6, 7, 4, 8 ]
vertex  4 -> Algebra  643    permutation [ 3, 1, 2, 4, 5, 7, 6, 8 ]
vertex  5 -> Algebra  171    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  473    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  7 -> Algebra  468    permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex  8 -> Algebra  634    permutation [ 3, 1, 2, 4, 5, 7, 6, 8 ]
```

### Algebra 471

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  627    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  225    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  634    permutation [ 3, 1, 2, 4, 5, 7, 6, 8 ]
vertex  6 -> Algebra  474    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  171    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 473

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  629    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  227    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  938    permutation [ 1, 2, 3, 5, 6, 7, 4, 8 ]
vertex  4 -> Algebra  256    permutation [ 3, 1, 2, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  173    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  470    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  252    permutation [ 3, 1, 2, 4, 5, 6, 7, 8 ]
```

### Algebra 474

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  630    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  228    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  252    permutation [ 3, 1, 2, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  174    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  471    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  173    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 542

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  385    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  960    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  563    permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex  8 -> Algebra 1073    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 563

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  406    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  972    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  569    permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex  5 -> Algebra  542    permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex  8 -> Algebra 1099    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 569

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  412    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  977    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  571    permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex  5 -> Algebra  579    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  6 -> Algebra  563    permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex  8 -> Algebra 1106    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 571

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  414    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  979    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  216    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  581    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  7 -> Algebra  569    permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex  8 -> Algebra  598    permutation [ 2, 1, 3, 4, 7, 5, 6, 8 ]
```

### Algebra 572

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  415    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  980    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  598    permutation [ 2, 1, 3, 4, 7, 5, 6, 8 ]
vertex  5 -> Algebra  582    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra  216    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 579

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  422    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  981    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  581    permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex  6 -> Algebra  569    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra 1116    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 581

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  424    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  983    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  222    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  584    permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex  6 -> Algebra  571    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  7 -> Algebra  579    permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex  8 -> Algebra  599    permutation [ 2, 1, 3, 4, 7, 5, 6, 8 ]
```

### Algebra 582

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  425    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  984    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  599    permutation [ 2, 1, 3, 4, 7, 5, 6, 8 ]
vertex  5 -> Algebra  585    permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex  6 -> Algebra  572    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra  222    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 584

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  427    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  643    permutation [ 3, 1, 2, 4, 5, 7, 6, 8 ]
vertex  4 -> Algebra  224    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  236    permutation [ 2, 1, 3, 4, 5, 7, 6, 8 ]
vertex  7 -> Algebra  581    permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex  8 -> Algebra  235    permutation [ 2, 1, 3, 4, 5, 7, 6, 8 ]
```

### Algebra 585

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  428    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  634    permutation [ 3, 1, 2, 4, 5, 7, 6, 8 ]
vertex  4 -> Algebra  235    permutation [ 2, 1, 3, 4, 5, 7, 6, 8 ]
vertex  5 -> Algebra  225    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  232    permutation [ 2, 1, 3, 4, 5, 7, 6, 8 ]
vertex  7 -> Algebra  582    permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex  8 -> Algebra  224    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 598

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  640    permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  442    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  247    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  572    permutation [ 2, 1, 3, 4, 6, 7, 5, 8 ]
vertex  5 -> Algebra 1106    permutation [ 2, 1, 3, 5, 6, 7, 4, 8 ]
vertex  6 -> Algebra  599    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  571    permutation [ 2, 1, 3, 4, 6, 7, 5, 8 ]
```

### Algebra 599

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  642    permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  443    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  249    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  582    permutation [ 2, 1, 3, 4, 6, 7, 5, 8 ]
vertex  5 -> Algebra 1116    permutation [ 2, 1, 3, 5, 6, 7, 4, 8 ]
vertex  6 -> Algebra  235    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  598    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  581    permutation [ 2, 1, 3, 4, 6, 7, 5, 8 ]
```

### Algebra 618

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  462    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra 1073    permutation [ 2, 1, 3, 5, 6, 7, 4, 8 ]
vertex  4 -> Algebra 1152    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  624    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra 1153    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 624

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  468    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra 1099    permutation [ 2, 1, 3, 5, 6, 7, 4, 8 ]
vertex  4 -> Algebra 1156    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  626    permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex  6 -> Algebra  618    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra 1157    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 626

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  470    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra 1106    permutation [ 2, 1, 3, 5, 6, 7, 4, 8 ]
vertex  4 -> Algebra  749    permutation [ 3, 1, 2, 4, 5, 7, 6, 8 ]
vertex  5 -> Algebra  247    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  629    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  7 -> Algebra  624    permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex  8 -> Algebra  740    permutation [ 3, 1, 2, 4, 5, 7, 6, 8 ]
```

### Algebra 627

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  471    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  740    permutation [ 3, 1, 2, 4, 5, 7, 6, 8 ]
vertex  6 -> Algebra  630    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  247    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 629

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  473    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra 1116    permutation [ 2, 1, 3, 5, 6, 7, 4, 8 ]
vertex  4 -> Algebra  312    permutation [ 3, 1, 2, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  249    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  626    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  308    permutation [ 3, 1, 2, 4, 5, 6, 7, 8 ]
```

### Algebra 630

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  474    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  308    permutation [ 3, 1, 2, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  250    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  627    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  249    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 634

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  740    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  585    permutation [ 2, 3, 1, 4, 5, 7, 6, 8 ]
vertex  4 -> Algebra  255    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  471    permutation [ 2, 3, 1, 4, 5, 7, 6, 8 ]
vertex  6 -> Algebra  984    permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
vertex  7 -> Algebra  252    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra  470    permutation [ 2, 3, 1, 4, 5, 7, 6, 8 ]
```

### Algebra 640

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  746    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  598    permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  980    permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
vertex  5 -> Algebra 1161    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  642    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  979    permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
```

### Algebra 642

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  748    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  599    permutation [ 3, 2, 1, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  984    permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
vertex  5 -> Algebra 1162    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  255    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  640    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  983    permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
```

### Algebra 643

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  749    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  584    permutation [ 2, 3, 1, 4, 5, 7, 6, 8 ]
vertex  4 -> Algebra  470    permutation [ 2, 3, 1, 4, 5, 7, 6, 8 ]
vertex  6 -> Algebra  983    permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
vertex  7 -> Algebra  256    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra  255    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 740

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  3 -> Algebra  634    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  311    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  627    permutation [ 2, 3, 1, 4, 5, 7, 6, 8 ]
vertex  6 -> Algebra 1157    permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
vertex  7 -> Algebra  308    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra  626    permutation [ 2, 3, 1, 4, 5, 7, 6, 8 ]
```

### Algebra 746

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  3 -> Algebra  640    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra 1153    permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
vertex  5 -> Algebra 1252    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  748    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra 1152    permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
```

### Algebra 748

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  3 -> Algebra  642    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra 1157    permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
vertex  5 -> Algebra 1253    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra  311    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra  746    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra 1156    permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
```

### Algebra 749

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  3 -> Algebra  643    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  626    permutation [ 2, 3, 1, 4, 5, 7, 6, 8 ]
vertex  6 -> Algebra 1156    permutation [ 2, 3, 1, 4, 6, 7, 5, 8 ]
vertex  7 -> Algebra  312    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  8 -> Algebra  311    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 898

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra 1073    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  462    permutation [ 1, 2, 3, 7, 4, 5, 6, 8 ]
vertex  4 -> Algebra  923    permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex  8 -> Algebra  385    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 923

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra 1099    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  468    permutation [ 1, 2, 3, 7, 4, 5, 6, 8 ]
vertex  4 -> Algebra  928    permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex  5 -> Algebra  898    permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex  8 -> Algebra  406    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 928

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra 1106    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  470    permutation [ 1, 2, 3, 7, 4, 5, 6, 8 ]
vertex  4 -> Algebra  442    permutation [ 1, 2, 3, 7, 4, 5, 6, 8 ]
vertex  5 -> Algebra  938    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  6 -> Algebra  923    permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex  8 -> Algebra  412    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 938

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra 1116    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra  473    permutation [ 1, 2, 3, 7, 4, 5, 6, 8 ]
vertex  4 -> Algebra  443    permutation [ 1, 2, 3, 7, 4, 5, 6, 8 ]
vertex  6 -> Algebra  928    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra  422    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 960

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra 1133    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  542    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  972    permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex  8 -> Algebra 1158    permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
```

### Algebra 972

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra 1145    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  563    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  977    permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex  5 -> Algebra  960    permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex  8 -> Algebra 1160    permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
```

### Algebra 977

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra 1150    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  569    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  979    permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex  5 -> Algebra  981    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  6 -> Algebra  972    permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex  8 -> Algebra 1161    permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
```

### Algebra 979

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra 1152    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  571    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  462    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  983    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  7 -> Algebra  977    permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex  8 -> Algebra  640    permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
```

### Algebra 980

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra 1153    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  572    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  640    permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
vertex  5 -> Algebra  984    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra  462    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 981

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra 1154    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  579    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  983    permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex  6 -> Algebra  977    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra 1162    permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
```

### Algebra 983

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra 1156    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  581    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  468    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  643    permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
vertex  6 -> Algebra  979    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  7 -> Algebra  981    permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex  8 -> Algebra  642    permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
```

### Algebra 984

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra 1157    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra  582    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  642    permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
vertex  5 -> Algebra  634    permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
vertex  6 -> Algebra  980    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra  468    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 1073

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  898    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra 1158    permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
vertex  3 -> Algebra  618    permutation [ 2, 1, 3, 7, 4, 5, 6, 8 ]
vertex  4 -> Algebra 1099    permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex  8 -> Algebra  542    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 1099

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  923    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra 1160    permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
vertex  3 -> Algebra  624    permutation [ 2, 1, 3, 7, 4, 5, 6, 8 ]
vertex  4 -> Algebra 1106    permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex  5 -> Algebra 1073    permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex  8 -> Algebra  563    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 1106

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  928    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra 1161    permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
vertex  3 -> Algebra  626    permutation [ 2, 1, 3, 7, 4, 5, 6, 8 ]
vertex  4 -> Algebra  598    permutation [ 2, 1, 3, 7, 4, 5, 6, 8 ]
vertex  5 -> Algebra 1116    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  6 -> Algebra 1099    permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex  8 -> Algebra  569    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 1116

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  938    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  2 -> Algebra 1162    permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
vertex  3 -> Algebra  629    permutation [ 2, 1, 3, 7, 4, 5, 6, 8 ]
vertex  4 -> Algebra  599    permutation [ 2, 1, 3, 7, 4, 5, 6, 8 ]
vertex  6 -> Algebra 1106    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra  579    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 1133

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  960    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra 1145    permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex  8 -> Algebra 1249    permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
```

### Algebra 1145

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  972    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra 1150    permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex  5 -> Algebra 1133    permutation [ 1, 2, 3, 5, 4, 6, 7, 8 ]
vertex  8 -> Algebra 1251    permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
```

### Algebra 1150

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  977    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra 1152    permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex  5 -> Algebra 1154    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  6 -> Algebra 1145    permutation [ 1, 2, 3, 6, 5, 4, 7, 8 ]
vertex  8 -> Algebra 1252    permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
```

### Algebra 1152

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  979    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  618    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra 1156    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  7 -> Algebra 1150    permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex  8 -> Algebra  746    permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
```

### Algebra 1153

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  980    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  746    permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
vertex  5 -> Algebra 1157    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra  618    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 1154

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  981    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra 1156    permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex  6 -> Algebra 1150    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra 1253    permutation [ 3, 1, 2, 7, 4, 5, 6, 8 ]
```

### Algebra 1156

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  983    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  624    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  749    permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
vertex  6 -> Algebra 1152    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  7 -> Algebra 1154    permutation [ 1, 2, 3, 7, 5, 6, 4, 8 ]
vertex  8 -> Algebra  748    permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
```

### Algebra 1157

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  984    permutation [ 2, 1, 3, 4, 5, 6, 7, 8 ]
vertex  4 -> Algebra  748    permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
vertex  5 -> Algebra  740    permutation [ 3, 1, 2, 4, 7, 5, 6, 8 ]
vertex  6 -> Algebra 1153    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra  624    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
```

### Algebra 1158

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra 1249    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra 1073    permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
vertex  5 -> Algebra 1160    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra  960    permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
```

### Algebra 1160

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra 1251    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra 1099    permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
vertex  5 -> Algebra 1161    permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex  6 -> Algebra 1158    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra  972    permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
```

### Algebra 1161

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra 1252    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra 1106    permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
vertex  5 -> Algebra  640    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra 1162    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  7 -> Algebra 1160    permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex  8 -> Algebra  977    permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
```

### Algebra 1162

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra 1253    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  3 -> Algebra 1116    permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
vertex  5 -> Algebra  642    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra 1161    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra  981    permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
```

### Algebra 1249

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  3 -> Algebra 1158    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra 1251    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra 1133    permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
```

### Algebra 1251

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  3 -> Algebra 1160    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra 1252    permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex  6 -> Algebra 1249    permutation [ 1, 2, 3, 4, 6, 5, 7, 8 ]
vertex  8 -> Algebra 1145    permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
```

### Algebra 1252

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  3 -> Algebra 1161    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  746    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  6 -> Algebra 1253    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  7 -> Algebra 1251    permutation [ 1, 2, 3, 4, 7, 6, 5, 8 ]
vertex  8 -> Algebra 1150    permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
```

### Algebra 1253

#### Quiver

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

```None
```

#### Cartan matrix

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

#### Good mutations

```vertex  3 -> Algebra 1162    permutation [ 1, 3, 2, 4, 5, 6, 7, 8 ]
vertex  5 -> Algebra  748    permutation [ 1, 2, 3, 4, 5, 6, 7, 8 ]
vertex  7 -> Algebra 1252    permutation [ 1, 2, 3, 4, 5, 7, 6, 8 ]
vertex  8 -> Algebra 1154    permutation [ 2, 3, 1, 5, 6, 7, 4, 8 ]
```