### Algebra 70

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  101    permutation [ 1, 3, 2, 4, 5, 6, 7 ]
vertex  4 -> Algebra  194    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  6 -> Algebra  195    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  7 -> Algebra  196    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
```

### Algebra 86

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  133    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  2 -> Algebra  231    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  4 -> Algebra  222    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  5 -> Algebra   88    permutation [ 1, 2, 3, 4, 6, 5, 7 ]
```

### Algebra 88

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  135    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  2 -> Algebra  234    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  6 -> Algebra   86    permutation [ 1, 2, 3, 4, 6, 5, 7 ]
vertex  7 -> Algebra  179    permutation [ 5, 1, 2, 7, 4, 3, 6 ]
```

### Algebra 101

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  251    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  3 -> Algebra   70    permutation [ 1, 3, 2, 4, 5, 6, 7 ]
vertex  4 -> Algebra  252    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  6 -> Algebra  253    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  7 -> Algebra  254    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
```

### Algebra 133

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra   86    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  2 -> Algebra  287    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  4 -> Algebra  280    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  5 -> Algebra  135    permutation [ 1, 2, 3, 4, 6, 5, 7 ]
```

### Algebra 135

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra   88    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  2 -> Algebra  290    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  6 -> Algebra  133    permutation [ 1, 2, 3, 4, 6, 5, 7 ]
vertex  7 -> Algebra  211    permutation [ 5, 2, 1, 7, 4, 3, 6 ]
```

### Algebra 179

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  211    permutation [ 1, 3, 2, 4, 5, 6, 7 ]
vertex  3 -> Algebra  195    permutation [ 1, 2, 5, 4, 3, 6, 7 ]
vertex  4 -> Algebra   88    permutation [ 2, 3, 6, 5, 1, 7, 4 ]
vertex  5 -> Algebra  181    permutation [ 1, 2, 3, 4, 6, 5, 7 ]
```

### Algebra 181

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  213    permutation [ 1, 3, 2, 4, 5, 6, 7 ]
vertex  3 -> Algebra  200    permutation [ 1, 2, 5, 4, 3, 6, 7 ]
vertex  6 -> Algebra  179    permutation [ 1, 2, 3, 4, 6, 5, 7 ]
vertex  7 -> Algebra  333    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
```

### Algebra 185

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  338    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  3 -> Algebra  188    permutation [ 1, 2, 5, 4, 3, 6, 7 ]
vertex  4 -> Algebra  263    permutation [ 2, 5, 1, 4, 6, 7, 3 ]
vertex  7 -> Algebra  287    permutation [ 1, 6, 2, 4, 3, 5, 7 ]
```

### Algebra 188

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  341    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  4 -> Algebra  194    permutation [ 1, 2, 4, 3, 5, 6, 7 ]
vertex  5 -> Algebra  185    permutation [ 1, 2, 5, 4, 3, 6, 7 ]
vertex  6 -> Algebra  229    permutation [ 3, 4, 1, 6, 7, 2, 5 ]
vertex  7 -> Algebra  290    permutation [ 1, 6, 2, 4, 3, 5, 7 ]
```

### Algebra 194

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  345    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  2 -> Algebra  252    permutation [ 1, 3, 2, 4, 5, 6, 7 ]
vertex  3 -> Algebra  188    permutation [ 1, 2, 4, 3, 5, 6, 7 ]
vertex  4 -> Algebra   70    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  5 -> Algebra  263    permutation [ 2, 4, 1, 3, 6, 7, 5 ]
vertex  6 -> Algebra  346    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  7 -> Algebra  347    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
```

### Algebra 195

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  253    permutation [ 1, 3, 2, 4, 5, 6, 7 ]
vertex  3 -> Algebra  197    permutation [ 1, 2, 6, 4, 5, 3, 7 ]
vertex  4 -> Algebra  346    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  5 -> Algebra  179    permutation [ 1, 2, 5, 4, 3, 6, 7 ]
vertex  6 -> Algebra   70    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
```

### Algebra 196

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  254    permutation [ 1, 3, 2, 4, 5, 6, 7 ]
vertex  4 -> Algebra  347    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  7 -> Algebra   70    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
```

### Algebra 197

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  260    permutation [ 1, 3, 2, 4, 5, 6, 7 ]
vertex  4 -> Algebra  352    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  5 -> Algebra  200    permutation [ 1, 2, 3, 4, 6, 5, 7 ]
vertex  6 -> Algebra  195    permutation [ 1, 2, 6, 4, 5, 3, 7 ]
vertex  7 -> Algebra  353    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
```

### Algebra 200

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  263    permutation [ 1, 3, 2, 4, 5, 6, 7 ]
vertex  4 -> Algebra  338    permutation [ 2, 1, 7, 4, 3, 5, 6 ]
vertex  5 -> Algebra  181    permutation [ 1, 2, 5, 4, 3, 6, 7 ]
vertex  6 -> Algebra  197    permutation [ 1, 2, 3, 4, 6, 5, 7 ]
vertex  7 -> Algebra  345    permutation [ 2, 1, 4, 3, 7, 5, 6 ]
```

### Algebra 211

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  229    permutation [ 1, 5, 3, 4, 2, 6, 7 ]
vertex  3 -> Algebra  179    permutation [ 1, 3, 2, 4, 5, 6, 7 ]
vertex  4 -> Algebra  135    permutation [ 3, 2, 6, 5, 1, 7, 4 ]
vertex  5 -> Algebra  213    permutation [ 1, 2, 3, 4, 6, 5, 7 ]
```

### Algebra 213

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  234    permutation [ 1, 5, 3, 4, 2, 6, 7 ]
vertex  3 -> Algebra  181    permutation [ 1, 3, 2, 4, 5, 6, 7 ]
vertex  6 -> Algebra  211    permutation [ 1, 2, 3, 4, 6, 5, 7 ]
vertex  7 -> Algebra  361    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
```

### Algebra 222

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  280    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  2 -> Algebra  376    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  4 -> Algebra   86    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  7 -> Algebra  333    permutation [ 6, 1, 2, 7, 3, 4, 5 ]
```

### Algebra 229

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  342    permutation [ 3, 6, 4, 2, 7, 1, 5 ]
vertex  2 -> Algebra  231    permutation [ 1, 6, 3, 4, 5, 2, 7 ]
vertex  3 -> Algebra  253    permutation [ 1, 2, 5, 4, 3, 6, 7 ]
vertex  4 -> Algebra  188    permutation [ 3, 6, 1, 2, 7, 4, 5 ]
vertex  5 -> Algebra  211    permutation [ 1, 5, 3, 4, 2, 6, 7 ]
```

### Algebra 231

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  352    permutation [ 3, 2, 6, 4, 7, 1, 5 ]
vertex  2 -> Algebra   86    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  3 -> Algebra  257    permutation [ 1, 2, 5, 4, 3, 6, 7 ]
vertex  4 -> Algebra  346    permutation [ 3, 2, 4, 1, 7, 6, 5 ]
vertex  5 -> Algebra  234    permutation [ 1, 2, 3, 4, 6, 5, 7 ]
vertex  6 -> Algebra  229    permutation [ 1, 6, 3, 4, 5, 2, 7 ]
```

### Algebra 234

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  384    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  2 -> Algebra   88    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  3 -> Algebra  263    permutation [ 1, 2, 5, 4, 3, 6, 7 ]
vertex  5 -> Algebra  213    permutation [ 1, 5, 3, 4, 2, 6, 7 ]
vertex  6 -> Algebra  231    permutation [ 1, 2, 3, 4, 6, 5, 7 ]
vertex  7 -> Algebra  346    permutation [ 5, 1, 4, 2, 7, 3, 6 ]
```

### Algebra 237

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  5 -> Algebra  385    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  7 -> Algebra  387    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
```

### Algebra 251

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  101    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  6 -> Algebra  387    permutation [ 2, 3, 5, 4, 1, 6, 7 ]
vertex  7 -> Algebra  392    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
```

### Algebra 252

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  3 -> Algebra  194    permutation [ 1, 3, 2, 4, 5, 6, 7 ]
vertex  4 -> Algebra  101    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  5 -> Algebra  380    permutation [ 1, 2, 4, 5, 3, 6, 7 ]
vertex  6 -> Algebra  376    permutation [ 4, 2, 1, 3, 7, 6, 5 ]
vertex  7 -> Algebra  368    permutation [ 4, 7, 1, 3, 6, 2, 5 ]
```

### Algebra 253

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  394    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  2 -> Algebra  257    permutation [ 1, 6, 3, 4, 5, 2, 7 ]
vertex  3 -> Algebra  195    permutation [ 1, 3, 2, 4, 5, 6, 7 ]
vertex  4 -> Algebra  376    permutation [ 4, 2, 1, 3, 7, 6, 5 ]
vertex  5 -> Algebra  229    permutation [ 1, 2, 5, 4, 3, 6, 7 ]
vertex  6 -> Algebra  101    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
```

### Algebra 254

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  392    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  3 -> Algebra  196    permutation [ 1, 3, 2, 4, 5, 6, 7 ]
vertex  4 -> Algebra  368    permutation [ 4, 7, 1, 3, 6, 2, 5 ]
vertex  7 -> Algebra  101    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
```

### Algebra 257

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  397    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  3 -> Algebra  260    permutation [ 1, 2, 6, 4, 5, 3, 7 ]
vertex  4 -> Algebra  280    permutation [ 6, 4, 1, 3, 7, 2, 5 ]
vertex  5 -> Algebra  231    permutation [ 1, 2, 5, 4, 3, 6, 7 ]
vertex  6 -> Algebra  253    permutation [ 1, 6, 3, 4, 5, 2, 7 ]
```

### Algebra 260

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  400    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  3 -> Algebra  197    permutation [ 1, 3, 2, 4, 5, 6, 7 ]
vertex  4 -> Algebra  287    permutation [ 3, 6, 1, 4, 7, 2, 5 ]
vertex  5 -> Algebra  263    permutation [ 1, 2, 3, 4, 6, 5, 7 ]
vertex  6 -> Algebra  257    permutation [ 1, 2, 6, 4, 5, 3, 7 ]
vertex  7 -> Algebra  347    permutation [ 3, 1, 4, 2, 7, 6, 5 ]
```

### Algebra 263

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  401    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  3 -> Algebra  200    permutation [ 1, 3, 2, 4, 5, 6, 7 ]
vertex  4 -> Algebra  185    permutation [ 3, 1, 7, 4, 2, 5, 6 ]
vertex  5 -> Algebra  234    permutation [ 1, 2, 5, 4, 3, 6, 7 ]
vertex  6 -> Algebra  260    permutation [ 1, 2, 3, 4, 6, 5, 7 ]
vertex  7 -> Algebra  194    permutation [ 3, 1, 4, 2, 7, 5, 6 ]
```

### Algebra 280

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  222    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  2 -> Algebra  257    permutation [ 3, 6, 4, 2, 7, 1, 5 ]
vertex  4 -> Algebra  133    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  7 -> Algebra  361    permutation [ 6, 2, 1, 7, 3, 4, 5 ]
```

### Algebra 287

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  352    permutation [ 3, 1, 6, 4, 7, 2, 5 ]
vertex  2 -> Algebra  133    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  4 -> Algebra  260    permutation [ 3, 6, 1, 4, 7, 2, 5 ]
vertex  5 -> Algebra  290    permutation [ 1, 2, 3, 4, 6, 5, 7 ]
vertex  7 -> Algebra  185    permutation [ 1, 3, 5, 4, 6, 2, 7 ]
```

### Algebra 290

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  384    permutation [ 2, 1, 3, 4, 5, 6, 7 ]
vertex  2 -> Algebra  135    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  4 -> Algebra  347    permutation [ 1, 3, 4, 5, 6, 2, 7 ]
vertex  6 -> Algebra  287    permutation [ 1, 2, 3, 4, 6, 5, 7 ]
vertex  7 -> Algebra  188    permutation [ 1, 3, 5, 4, 6, 2, 7 ]
```

### Algebra 333

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  361    permutation [ 1, 3, 2, 4, 5, 6, 7 ]
vertex  3 -> Algebra  345    permutation [ 2, 1, 4, 5, 7, 3, 6 ]
vertex  4 -> Algebra  222    permutation [ 2, 3, 5, 6, 7, 1, 4 ]
vertex  7 -> Algebra  181    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
```

### Algebra 335

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  338    permutation [ 5, 2, 3, 4, 1, 6, 7 ]
vertex  2 -> Algebra  385    permutation [ 1, 3, 2, 4, 5, 6, 7 ]
vertex  7 -> Algebra  342    permutation [ 2, 5, 4, 1, 7, 6, 3 ]
```

### Algebra 338

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  185    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  2 -> Algebra  388    permutation [ 1, 3, 2, 4, 5, 6, 7 ]
vertex  3 -> Algebra  341    permutation [ 1, 2, 5, 4, 3, 6, 7 ]
vertex  4 -> Algebra  200    permutation [ 2, 1, 5, 4, 6, 7, 3 ]
vertex  5 -> Algebra  335    permutation [ 5, 2, 3, 4, 1, 6, 7 ]
vertex  7 -> Algebra  352    permutation [ 2, 1, 5, 4, 7, 6, 3 ]
```

### Algebra 341

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  188    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  2 -> Algebra  380    permutation [ 3, 4, 1, 6, 7, 2, 5 ]
vertex  4 -> Algebra  345    permutation [ 1, 2, 4, 3, 5, 6, 7 ]
vertex  5 -> Algebra  338    permutation [ 1, 2, 5, 4, 3, 6, 7 ]
vertex  6 -> Algebra  376    permutation [ 1, 4, 3, 7, 5, 2, 6 ]
vertex  7 -> Algebra  384    permutation [ 6, 1, 2, 4, 3, 5, 7 ]
```

### Algebra 342

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  394    permutation [ 6, 4, 7, 3, 1, 2, 5 ]
vertex  4 -> Algebra  352    permutation [ 1, 2, 4, 3, 5, 6, 7 ]
vertex  5 -> Algebra  335    permutation [ 4, 1, 7, 3, 2, 6, 5 ]
vertex  6 -> Algebra  229    permutation [ 6, 4, 1, 3, 7, 2, 5 ]
```

### Algebra 345

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  194    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  3 -> Algebra  341    permutation [ 1, 2, 4, 3, 5, 6, 7 ]
vertex  5 -> Algebra  200    permutation [ 2, 1, 4, 3, 6, 7, 5 ]
vertex  6 -> Algebra  333    permutation [ 2, 1, 6, 3, 4, 7, 5 ]
vertex  7 -> Algebra  353    permutation [ 2, 1, 4, 3, 7, 6, 5 ]
```

### Algebra 346

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  361    permutation [ 2, 1, 6, 3, 4, 7, 5 ]
vertex  2 -> Algebra  376    permutation [ 4, 3, 1, 2, 7, 6, 5 ]
vertex  3 -> Algebra  231    permutation [ 4, 2, 1, 3, 7, 6, 5 ]
vertex  4 -> Algebra  195    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  5 -> Algebra  234    permutation [ 2, 4, 6, 3, 1, 7, 5 ]
vertex  6 -> Algebra  194    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
```

### Algebra 347

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  353    permutation [ 2, 1, 4, 3, 7, 6, 5 ]
vertex  2 -> Algebra  368    permutation [ 4, 7, 1, 2, 6, 3, 5 ]
vertex  3 -> Algebra  290    permutation [ 1, 6, 2, 3, 4, 5, 7 ]
vertex  4 -> Algebra  196    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  5 -> Algebra  260    permutation [ 2, 4, 1, 3, 7, 6, 5 ]
vertex  7 -> Algebra  194    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
```

### Algebra 352

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  397    permutation [ 6, 2, 7, 4, 1, 3, 5 ]
vertex  2 -> Algebra  287    permutation [ 2, 6, 1, 4, 7, 3, 5 ]
vertex  3 -> Algebra  342    permutation [ 1, 2, 4, 3, 5, 6, 7 ]
vertex  4 -> Algebra  197    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  5 -> Algebra  338    permutation [ 2, 1, 7, 4, 3, 6, 5 ]
vertex  6 -> Algebra  231    permutation [ 6, 2, 1, 4, 7, 3, 5 ]
vertex  7 -> Algebra  384    permutation [ 6, 2, 1, 4, 3, 7, 5 ]
```

### Algebra 353

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  347    permutation [ 2, 1, 4, 3, 7, 6, 5 ]
vertex  4 -> Algebra  384    permutation [ 6, 2, 1, 4, 3, 7, 5 ]
vertex  5 -> Algebra  345    permutation [ 2, 1, 4, 3, 7, 6, 5 ]
vertex  7 -> Algebra  197    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
```

### Algebra 361

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  346    permutation [ 2, 1, 4, 5, 7, 3, 6 ]
vertex  3 -> Algebra  333    permutation [ 1, 3, 2, 4, 5, 6, 7 ]
vertex  4 -> Algebra  280    permutation [ 3, 2, 5, 6, 7, 1, 4 ]
vertex  7 -> Algebra  213    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
```

### Algebra 368

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  254    permutation [ 3, 6, 4, 1, 7, 5, 2 ]
vertex  2 -> Algebra  252    permutation [ 3, 6, 4, 1, 7, 5, 2 ]
vertex  4 -> Algebra  347    permutation [ 3, 4, 6, 1, 7, 5, 2 ]
vertex  7 -> Algebra  390    permutation [ 1, 3, 2, 6, 5, 7, 4 ]
```

### Algebra 376

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  253    permutation [ 3, 2, 4, 1, 7, 6, 5 ]
vertex  2 -> Algebra  222    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  4 -> Algebra  346    permutation [ 3, 4, 2, 1, 7, 6, 5 ]
vertex  6 -> Algebra  252    permutation [ 3, 2, 4, 1, 7, 6, 5 ]
vertex  7 -> Algebra  341    permutation [ 1, 6, 3, 2, 5, 7, 4 ]
```

### Algebra 380

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  4 -> Algebra  252    permutation [ 1, 2, 5, 3, 4, 6, 7 ]
vertex  5 -> Algebra  401    permutation [ 4, 3, 1, 2, 6, 7, 5 ]
vertex  6 -> Algebra  341    permutation [ 3, 6, 1, 2, 7, 4, 5 ]
vertex  7 -> Algebra  390    permutation [ 3, 1, 7, 2, 6, 4, 5 ]
```

### Algebra 384

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  234    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  2 -> Algebra  290    permutation [ 2, 1, 3, 4, 5, 6, 7 ]
vertex  3 -> Algebra  401    permutation [ 1, 2, 5, 4, 3, 6, 7 ]
vertex  4 -> Algebra  353    permutation [ 3, 2, 5, 4, 7, 1, 6 ]
vertex  6 -> Algebra  352    permutation [ 3, 2, 5, 4, 7, 1, 6 ]
vertex  7 -> Algebra  341    permutation [ 2, 3, 5, 4, 6, 1, 7 ]
```

### Algebra 385

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  388    permutation [ 5, 2, 3, 4, 1, 6, 7 ]
vertex  3 -> Algebra  335    permutation [ 1, 3, 2, 4, 5, 6, 7 ]
vertex  5 -> Algebra  237    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  7 -> Algebra  394    permutation [ 6, 1, 2, 4, 3, 5, 7 ]
```

### Algebra 387

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  5 -> Algebra  394    permutation [ 6, 1, 2, 4, 3, 5, 7 ]
vertex  6 -> Algebra  251    permutation [ 5, 1, 2, 4, 3, 6, 7 ]
vertex  7 -> Algebra  237    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
```

### Algebra 388

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  2 -> Algebra  390    permutation [ 1, 5, 3, 4, 2, 6, 7 ]
vertex  3 -> Algebra  338    permutation [ 1, 3, 2, 4, 5, 6, 7 ]
vertex  5 -> Algebra  385    permutation [ 5, 2, 3, 4, 1, 6, 7 ]
vertex  7 -> Algebra  397    permutation [ 6, 1, 2, 4, 3, 5, 7 ]
```

### Algebra 390

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  3 -> Algebra  380    permutation [ 2, 4, 1, 6, 7, 5, 3 ]
vertex  5 -> Algebra  388    permutation [ 1, 5, 3, 4, 2, 6, 7 ]
vertex  6 -> Algebra  368    permutation [ 1, 3, 2, 7, 5, 4, 6 ]
vertex  7 -> Algebra  400    permutation [ 6, 1, 2, 4, 3, 5, 7 ]
```

### Algebra 392

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  254    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  7 -> Algebra  251    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
```

### Algebra 394

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  253    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  2 -> Algebra  397    permutation [ 1, 6, 3, 4, 5, 2, 7 ]
vertex  5 -> Algebra  342    permutation [ 5, 6, 4, 2, 7, 1, 3 ]
vertex  6 -> Algebra  387    permutation [ 2, 3, 5, 4, 6, 1, 7 ]
vertex  7 -> Algebra  385    permutation [ 2, 3, 5, 4, 6, 1, 7 ]
```

### Algebra 397

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  257    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  3 -> Algebra  400    permutation [ 1, 2, 6, 4, 5, 3, 7 ]
vertex  5 -> Algebra  352    permutation [ 5, 2, 6, 4, 7, 1, 3 ]
vertex  6 -> Algebra  394    permutation [ 1, 6, 3, 4, 5, 2, 7 ]
vertex  7 -> Algebra  388    permutation [ 2, 3, 5, 4, 6, 1, 7 ]
```

### Algebra 400

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  260    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  5 -> Algebra  401    permutation [ 1, 2, 3, 4, 6, 5, 7 ]
vertex  6 -> Algebra  397    permutation [ 1, 2, 6, 4, 5, 3, 7 ]
vertex  7 -> Algebra  390    permutation [ 2, 3, 5, 4, 6, 1, 7 ]
```

### Algebra 401

#### Quiver

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

#### Relations

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

#### Cartan matrix

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

#### Good mutations

```vertex  1 -> Algebra  263    permutation [ 1, 2, 3, 4, 5, 6, 7 ]
vertex  5 -> Algebra  384    permutation [ 1, 2, 5, 4, 3, 6, 7 ]
vertex  6 -> Algebra  400    permutation [ 1, 2, 3, 4, 6, 5, 7 ]
vertex  7 -> Algebra  380    permutation [ 3, 4, 2, 1, 7, 5, 6 ]
```