# Conjugacy Class 8 of Group A5

Cable 1:[4, 5, 2, 3, 1].
Disjoint cycle form: [[1, 4, 3, 2, 5]].
Cable 2:[4, 5, 1, 2, 3].
Disjoint cycle form: [[1, 4, 2, 5, 3]].
• Example 8_1
```CC2_CLASS = 8, example 1:
Strut: [3, 4, 1, 2, 5]. 	 Disjoint cycle form:  [[1, 3], [2, 4]].
Cable 1: [4, 5, 2, 3, 1]. 	 Disjoint cycle form:  [[1, 4, 3, 2, 5]].
Cable 2: [4, 5, 1, 2, 3]. 	 Disjoint cycle form:  [[1, 4, 2, 5, 3]].
Smallest equilibrium strut stress w1_min is .690983 occurring in representation dim3b.

```
```

```
• Example 8_2
```CC2_CLASS = 8, example 2:
Strut: [3, 5, 2, 1, 4]. 	 Disjoint cycle form:  [[1, 3, 2, 5, 4]].
Cable 1: [4, 5, 2, 3, 1]. 	 Disjoint cycle form:  [[1, 4, 3, 2, 5]].
Cable 2: [4, 5, 1, 2, 3]. 	 Disjoint cycle form:  [[1, 4, 2, 5, 3]].
Smallest equilibrium strut stress w1_min is .263932 occurring in representation dim3b.

```
```

```
• Example 8_3
```CC2_CLASS = 8, example 3:
Strut: [1, 5, 4, 3, 2]. 	 Disjoint cycle form:  [[2, 5], [3, 4]].
Cable 1: [4, 5, 2, 3, 1]. 	 Disjoint cycle form:  [[1, 4, 3, 2, 5]].
Cable 2: [4, 5, 1, 2, 3]. 	 Disjoint cycle form:  [[1, 4, 2, 5, 3]].
Smallest equilibrium strut stress w1_min is .453269 occurring in representation dim3b.

```
```

```
• Example 8_4
```CC2_CLASS = 8, example 4:
Strut: [3, 2, 1, 5, 4]. 	 Disjoint cycle form:  [[1, 3], [4, 5]].
Cable 1: [4, 5, 2, 3, 1]. 	 Disjoint cycle form:  [[1, 4, 3, 2, 5]].
Cable 2: [4, 5, 1, 2, 3]. 	 Disjoint cycle form:  [[1, 4, 2, 5, 3]].
Smallest equilibrium strut stress w1_min is .408933 occurring in representation dim3b.

```
```

```
• Example 8_5
```CC2_CLASS = 8, example 5:
Strut: [5, 1, 4, 2, 3]. 	 Disjoint cycle form:  [[1, 5, 3, 4, 2]].
Cable 1: [4, 5, 2, 3, 1]. 	 Disjoint cycle form:  [[1, 4, 3, 2, 5]].
Cable 2: [4, 5, 1, 2, 3]. 	 Disjoint cycle form:  [[1, 4, 2, 5, 3]].
Smallest equilibrium strut stress w1_min is .552786 occurring in representation dim3a.

```
```
VERTEX OVERLAP: 1 other vertice(s) coincide with basepoint.

```
• Example 8_6
```CC2_CLASS = 8, example 6:
Strut: [3, 2, 5, 4, 1]. 	 Disjoint cycle form:  [[1, 3, 5]].
Cable 1: [4, 5, 2, 3, 1]. 	 Disjoint cycle form:  [[1, 4, 3, 2, 5]].
Cable 2: [4, 5, 1, 2, 3]. 	 Disjoint cycle form:  [[1, 4, 2, 5, 3]].
Smallest equilibrium strut stress w1_min is .276393 occurring in representation dim3b.

```
```

```
• Example 8_7
```CC2_CLASS = 8, example 7:
Strut: [2, 3, 1, 4, 5]. 	 Disjoint cycle form:  [[1, 2, 3]].
Cable 1: [4, 5, 2, 3, 1]. 	 Disjoint cycle form:  [[1, 4, 3, 2, 5]].
Cable 2: [4, 5, 1, 2, 3]. 	 Disjoint cycle form:  [[1, 4, 2, 5, 3]].
Smallest equilibrium strut stress w1_min is .666666 occurring in representation dim3b.
POSSIBLE TIE involving representations: [dim3a, dim3b, dim5]

```
```
VERTEX OVERLAP: 1 other vertice(s) coincide with basepoint.

```
• Example 8_8
```CC2_CLASS = 8, example 8:
Strut: [3, 1, 4, 5, 2]. 	 Disjoint cycle form:  [[1, 3, 4, 5, 2]].
Cable 1: [4, 5, 2, 3, 1]. 	 Disjoint cycle form:  [[1, 4, 3, 2, 5]].
Cable 2: [4, 5, 1, 2, 3]. 	 Disjoint cycle form:  [[1, 4, 2, 5, 3]].
Smallest equilibrium strut stress w1_min is .552786 occurring in representation dim3b.

```
```
VERTEX OVERLAP: 1 other vertice(s) coincide with basepoint.

```
• Example 8_9
```CC2_CLASS = 8, example 9:
Strut: [1, 5, 3, 2, 4]. 	 Disjoint cycle form:  [[2, 5, 4]].
Cable 1: [4, 5, 2, 3, 1]. 	 Disjoint cycle form:  [[1, 4, 3, 2, 5]].
Cable 2: [4, 5, 1, 2, 3]. 	 Disjoint cycle form:  [[1, 4, 2, 5, 3]].
Smallest equilibrium strut stress w1_min is .327112 occurring in representation dim3b.

```
```

```
• Example 8_10
```CC2_CLASS = 8, example 10:
Strut: [4, 5, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4], [2, 5]].
Cable 1: [4, 5, 2, 3, 1]. 	 Disjoint cycle form:  [[1, 4, 3, 2, 5]].
Cable 2: [4, 5, 1, 2, 3]. 	 Disjoint cycle form:  [[1, 4, 2, 5, 3]].
Smallest equilibrium strut stress w1_min is .999999 occurring in representation dim3b.
POSSIBLE TIE involving representations: [dim3a, dim3b, dim5]

```
```
VERTEX OVERLAP: 1 other vertice(s) coincide with basepoint.

```
• Example 8_11
```CC2_CLASS = 8, example 11:
Strut: [3, 1, 5, 2, 4]. 	 Disjoint cycle form:  [[1, 3, 5, 4, 2]].
Cable 1: [4, 5, 2, 3, 1]. 	 Disjoint cycle form:  [[1, 4, 3, 2, 5]].
Cable 2: [4, 5, 1, 2, 3]. 	 Disjoint cycle form:  [[1, 4, 2, 5, 3]].
Smallest equilibrium strut stress w1_min is .381966 occurring in representation dim3b.

```
```
VERTEX OVERLAP: 4 other vertice(s) coincide with basepoint.
DEGENERATE EDGES: 1 edge(s) of length 0.

```
• Example 8_12
```CC2_CLASS = 8, example 12:
Strut: [4, 2, 1, 3, 5]. 	 Disjoint cycle form:  [[1, 4, 3]].
Cable 1: [4, 5, 2, 3, 1]. 	 Disjoint cycle form:  [[1, 4, 3, 2, 5]].
Cable 2: [4, 5, 1, 2, 3]. 	 Disjoint cycle form:  [[1, 4, 2, 5, 3]].
Smallest equilibrium strut stress w1_min is .254644 occurring in representation dim3b.

```
```
VERTEX OVERLAP: 1 other vertice(s) coincide with basepoint.

```
• Example 8_13
```CC2_CLASS = 8, example 13:
Strut: [5, 4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 4]].
Cable 1: [4, 5, 2, 3, 1]. 	 Disjoint cycle form:  [[1, 4, 3, 2, 5]].
Cable 2: [4, 5, 1, 2, 3]. 	 Disjoint cycle form:  [[1, 4, 2, 5, 3]].
Smallest equilibrium strut stress w1_min is .381966 occurring in representation dim3b.

```
```
VERTEX OVERLAP: 1 other vertice(s) coincide with basepoint.

```
• Example 8_14
```CC2_CLASS = 8, example 14:
Strut: [2, 1, 3, 5, 4]. 	 Disjoint cycle form:  [[1, 2], [4, 5]].
Cable 1: [4, 5, 2, 3, 1]. 	 Disjoint cycle form:  [[1, 4, 3, 2, 5]].
Cable 2: [4, 5, 1, 2, 3]. 	 Disjoint cycle form:  [[1, 4, 2, 5, 3]].
Smallest equilibrium strut stress w1_min is .381966 occurring in representation dim3b.

```
```
VERTEX OVERLAP: 1 other vertice(s) coincide with basepoint.

```
• Example 8_15
```CC2_CLASS = 8, example 15:
Strut: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
Cable 1: [4, 5, 2, 3, 1]. 	 Disjoint cycle form:  [[1, 4, 3, 2, 5]].
Cable 2: [4, 5, 1, 2, 3]. 	 Disjoint cycle form:  [[1, 4, 2, 5, 3]].
Smallest equilibrium strut stress w1_min is .211145 occurring in representation dim3b.

```
```
VERTEX OVERLAP: 1 other vertice(s) coincide with basepoint.

```