# Conjugacy Class 1 of Group S4

Cable 1:[4, 3, 1, 2].
Disjoint cycle form: [[1, 4, 2, 3]].
Cable 2:[1, 4, 2, 3].
Disjoint cycle form: [[2, 4, 3]].
• Example 1_1
```CC2_CLASS = 1, example 1:
Strut: [4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 4], [2, 3]].
Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
Cable 2: [1, 4, 2, 3]. 	 Disjoint cycle form:  [[2, 4, 3]].
Smallest equilibrium strut stress w1_min is .574609 occurring in representation dim3a.

```
```

```
• Example 1_2
```CC2_CLASS = 1, example 2:
Strut: [3, 2, 1, 4]. 	 Disjoint cycle form:  [[1, 3]].
Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
Cable 2: [1, 4, 2, 3]. 	 Disjoint cycle form:  [[2, 4, 3]].
Smallest equilibrium strut stress w1_min is 1.25 occurring in representation dim3a.

```
```

```
• Example 1_3
```CC2_CLASS = 1, example 3:
Strut: [2, 1, 3, 4]. 	 Disjoint cycle form:  [[1, 2]].
Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
Cable 2: [1, 4, 2, 3]. 	 Disjoint cycle form:  [[2, 4, 3]].
Smallest equilibrium strut stress w1_min is .666666 occurring in representation dim3a.

```
```

```
• Example 1_4
```CC2_CLASS = 1, example 4:
Strut: [3, 1, 4, 2]. 	 Disjoint cycle form:  [[1, 3, 4, 2]].
Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
Cable 2: [1, 4, 2, 3]. 	 Disjoint cycle form:  [[2, 4, 3]].
Smallest equilibrium strut stress w1_min is .574609 occurring in representation dim3a.

```
```

```
• Example 1_5
```CC2_CLASS = 1, example 5:
Strut: [2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 2, 4]].
Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
Cable 2: [1, 4, 2, 3]. 	 Disjoint cycle form:  [[2, 4, 3]].
Smallest equilibrium strut stress w1_min is .404566 occurring in representation dim3a.

```
```

```
• Example 1_6
```CC2_CLASS = 1, example 6:
Strut: [1, 3, 2, 4]. 	 Disjoint cycle form:  [[2, 3]].
Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
Cable 2: [1, 4, 2, 3]. 	 Disjoint cycle form:  [[2, 4, 3]].
Smallest equilibrium strut stress w1_min is .533947 occurring in representation dim3a.

```
```

```
• Example 1_7
```CC2_CLASS = 1, example 7:
Strut: [2, 1, 4, 3]. 	 Disjoint cycle form:  [[1, 2], [3, 4]].
Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
Cable 2: [1, 4, 2, 3]. 	 Disjoint cycle form:  [[2, 4, 3]].
Smallest equilibrium strut stress w1_min is 1 occurring in representation dim3a.

```
```
VERTEX OVERLAP: 2 other vertice(s) coincide with basepoint.
DEGENERATE EDGES: 1 edge(s) of length 0.

```
• Example 1_8
```CC2_CLASS = 1, example 8:
Strut: [4, 2, 1, 3]. 	 Disjoint cycle form:  [[1, 4, 3]].
Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
Cable 2: [1, 4, 2, 3]. 	 Disjoint cycle form:  [[2, 4, 3]].
Smallest equilibrium strut stress w1_min is .333333 occurring in representation dim3a.

```
```

```
• Example 1_9
```CC2_CLASS = 1, example 9:
Strut: [1, 2, 4, 3]. 	 Disjoint cycle form:  [[3, 4]].
Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
Cable 2: [1, 4, 2, 3]. 	 Disjoint cycle form:  [[2, 4, 3]].
Smallest equilibrium strut stress w1_min is .5 occurring in representation dim3a.

```
```

```