# Conjugacy Class 3 of Group S4

Cable 1:[4, 3, 1, 2].
Disjoint cycle form: [[1, 4, 2, 3]].
Cable 2:[3, 2, 1, 4].
Disjoint cycle form: [[1, 3]].
• Example 3_1
```CC2_CLASS = 3, 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: [3, 2, 1, 4]. 	 Disjoint cycle form:  [[1, 3]].
Smallest equilibrium strut stress w1_min is .333333 occurring in representation dim3a.

```
```

```
• Example 3_2
```CC2_CLASS = 3, example 2:
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: [3, 2, 1, 4]. 	 Disjoint cycle form:  [[1, 3]].
Smallest equilibrium strut stress w1_min is .377160 occurring in representation dim3a.

```
```

```
• Example 3_3
```CC2_CLASS = 3, 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: [3, 2, 1, 4]. 	 Disjoint cycle form:  [[1, 3]].
Smallest equilibrium strut stress w1_min is .312132 occurring in representation dim3a.

```
```

```
• Example 3_4
```CC2_CLASS = 3, example 4:
Strut: [2, 4, 1, 3]. 	 Disjoint cycle form:  [[1, 2, 4, 3]].
Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
Cable 2: [3, 2, 1, 4]. 	 Disjoint cycle form:  [[1, 3]].
Smallest equilibrium strut stress w1_min is .333333 occurring in representation dim2.
POSSIBLE TIE involving representations: [dim2, dim3a]

```
```
VERTEX OVERLAP: 3 other vertice(s) coincide with basepoint.

```
• Example 3_5
```CC2_CLASS = 3, example 5:
Strut: [1, 4, 3, 2]. 	 Disjoint cycle form:  [[2, 4]].
Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
Cable 2: [3, 2, 1, 4]. 	 Disjoint cycle form:  [[1, 3]].
Smallest equilibrium strut stress w1_min is .333333 occurring in representation dim3a.

```
```

```
• Example 3_6
```CC2_CLASS = 3, example 6:
Strut: [2, 3, 4, 1]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
Cable 2: [3, 2, 1, 4]. 	 Disjoint cycle form:  [[1, 3]].
Smallest equilibrium strut stress w1_min is .292893 occurring in representation dim3a.

```
```

```
• Example 3_7
```CC2_CLASS = 3, example 7:
Strut: [3, 4, 1, 2]. 	 Disjoint cycle form:  [[1, 3], [2, 4]].
Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
Cable 2: [3, 2, 1, 4]. 	 Disjoint cycle form:  [[1, 3]].
Smallest equilibrium strut stress w1_min is .292893 occurring in representation dim3a.

```
```

```
• Example 3_8
```CC2_CLASS = 3, example 8:
Strut: [4, 2, 3, 1]. 	 Disjoint cycle form:  [[1, 4]].
Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
Cable 2: [3, 2, 1, 4]. 	 Disjoint cycle form:  [[1, 3]].
Smallest equilibrium strut stress w1_min is .459687 occurring in representation dim3a.

```
```

```
• Example 3_9
```CC2_CLASS = 3, example 9:
Strut: [2, 3, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3]].
Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
Cable 2: [3, 2, 1, 4]. 	 Disjoint cycle form:  [[1, 3]].
Smallest equilibrium strut stress w1_min is .212650 occurring in representation dim3a.

```
```

```
• Example 3_10
```CC2_CLASS = 3, example 10:
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: [3, 2, 1, 4]. 	 Disjoint cycle form:  [[1, 3]].
Smallest equilibrium strut stress w1_min is 1 occurring in representation dim3a.
POSSIBLE TIE involving representations: [dim3a, dim3b]

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

```