# Conjugacy Class 4 of Group S4

Cable 1:[2, 4, 1, 3].
Disjoint cycle form: [[1, 2, 4, 3]].
Cable 2:[3, 4, 2, 1].
Disjoint cycle form: [[1, 3, 2, 4]].
• Example 4_1
```CC2_CLASS = 4, example 1:
Strut: [3, 2, 1, 4]. 	 Disjoint cycle form:  [[1, 3]].
Cable 1: [2, 4, 1, 3]. 	 Disjoint cycle form:  [[1, 2, 4, 3]].
Cable 2: [3, 4, 2, 1]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
Smallest equilibrium strut stress w1_min is 1 occurring in representation dim2.
POSSIBLE TIE involving representations: [dim2, dim3a]

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

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

```
```
VERTEX OVERLAP: 3 other vertice(s) coincide with basepoint.
DEGENERATE EDGES: 1 edge(s) of length 0.

```
• Example 4_3
```CC2_CLASS = 4, example 3:
Strut: [2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 2, 4]].
Cable 1: [2, 4, 1, 3]. 	 Disjoint cycle form:  [[1, 2, 4, 3]].
Cable 2: [3, 4, 2, 1]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
Smallest equilibrium strut stress w1_min is .666666 occurring in representation dim2.
POSSIBLE TIE involving representations: [dim2, dim3a]

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

```
• Example 4_4
```CC2_CLASS = 4, example 4:
Strut: [2, 3, 4, 1]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Cable 1: [2, 4, 1, 3]. 	 Disjoint cycle form:  [[1, 2, 4, 3]].
Cable 2: [3, 4, 2, 1]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
Smallest equilibrium strut stress w1_min is .5 occurring in representation dim2.

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

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

```
```
VERTEX OVERLAP: 3 other vertice(s) coincide with basepoint.
DEGENERATE EDGES: 1 edge(s) of length 0.

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

```
```
VERTEX OVERLAP: 3 other vertice(s) coincide with basepoint.
DEGENERATE EDGES: 1 edge(s) of length 0.

```