# Conjugacy Class 6 of Group A5

Cable 1:[5, 4, 1, 3, 2].
Disjoint cycle form: [[1, 5, 2, 4, 3]].
Cable 2:[5, 2, 4, 3, 1].
Disjoint cycle form: [[1, 5], [3, 4]].
• Example 6_1
```CC2_CLASS = 6, example 1:
Strut: [3, 4, 1, 2, 5]. 	 Disjoint cycle form:  [[1, 3], [2, 4]].
Cable 1: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
Cable 2: [5, 2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 5], [3, 4]].
Smallest equilibrium strut stress w1_min is .381966 occurring in representation dim3a.

```
```

```
• Example 6_2
```CC2_CLASS = 6, example 2:
Strut: [1, 5, 4, 3, 2]. 	 Disjoint cycle form:  [[2, 5], [3, 4]].
Cable 1: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
Cable 2: [5, 2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 5], [3, 4]].
Smallest equilibrium strut stress w1_min is .205644 occurring in representation dim3a.

```
```

```
• Example 6_3
```CC2_CLASS = 6, example 3:
Strut: [4, 3, 2, 1, 5]. 	 Disjoint cycle form:  [[1, 4], [2, 3]].
Cable 1: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
Cable 2: [5, 2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 5], [3, 4]].
Smallest equilibrium strut stress w1_min is .144280 occurring in representation dim3a.

```
```

```
• Example 6_4
```CC2_CLASS = 6, example 4:
Strut: [2, 4, 5, 3, 1]. 	 Disjoint cycle form:  [[1, 2, 4, 3, 5]].
Cable 1: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
Cable 2: [5, 2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 5], [3, 4]].
Smallest equilibrium strut stress w1_min is .089010 occurring in representation dim3a.

```
```

```
• Example 6_5
```CC2_CLASS = 6, example 5:
Strut: [1, 3, 2, 5, 4]. 	 Disjoint cycle form:  [[2, 3], [4, 5]].
Cable 1: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
Cable 2: [5, 2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 5], [3, 4]].
Smallest equilibrium strut stress w1_min is .234998 occurring in representation dim3a.

```
```

```
• Example 6_6
```CC2_CLASS = 6, example 6:
Strut: [4, 1, 5, 3, 2]. 	 Disjoint cycle form:  [[1, 4, 3, 5, 2]].
Cable 1: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
Cable 2: [5, 2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 5], [3, 4]].
Smallest equilibrium strut stress w1_min is .181949 occurring in representation dim3a.

```
```

```
• Example 6_7
```CC2_CLASS = 6, example 7:
Strut: [5, 2, 1, 4, 3]. 	 Disjoint cycle form:  [[1, 5, 3]].
Cable 1: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
Cable 2: [5, 2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 5], [3, 4]].
Smallest equilibrium strut stress w1_min is .098540 occurring in representation dim3a.

```
```

```
• Example 6_8
```CC2_CLASS = 6, example 8:
Strut: [2, 3, 1, 4, 5]. 	 Disjoint cycle form:  [[1, 2, 3]].
Cable 1: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
Cable 2: [5, 2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 5], [3, 4]].
Smallest equilibrium strut stress w1_min is .112942 occurring in representation dim3a.

```
```

```
• Example 6_9
```CC2_CLASS = 6, example 9:
Strut: [2, 5, 1, 3, 4]. 	 Disjoint cycle form:  [[1, 2, 5, 4, 3]].
Cable 1: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
Cable 2: [5, 2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 5], [3, 4]].
Smallest equilibrium strut stress w1_min is .069498 occurring in representation dim3a.

```
```

```
• Example 6_10
```CC2_CLASS = 6, example 10:
Strut: [1, 5, 3, 2, 4]. 	 Disjoint cycle form:  [[2, 5, 4]].
Cable 1: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
Cable 2: [5, 2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 5], [3, 4]].
Smallest equilibrium strut stress w1_min is .082711 occurring in representation dim3a.

```
```

```
• Example 6_11
```CC2_CLASS = 6, example 11:
Strut: [4, 1, 2, 5, 3]. 	 Disjoint cycle form:  [[1, 4, 5, 3, 2]].
Cable 1: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
Cable 2: [5, 2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 5], [3, 4]].
Smallest equilibrium strut stress w1_min is .381966 occurring in representation dim3a.
POSSIBLE TIE involving representations: [dim3a, dim5]

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

```
• Example 6_12
```CC2_CLASS = 6, example 12:
Strut: [1, 2, 5, 3, 4]. 	 Disjoint cycle form:  [[3, 5, 4]].
Cable 1: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
Cable 2: [5, 2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 5], [3, 4]].
Smallest equilibrium strut stress w1_min is .144996 occurring in representation dim3a.

```
```

```
• Example 6_13
```CC2_CLASS = 6, example 13:
Strut: [4, 5, 1, 2, 3]. 	 Disjoint cycle form:  [[1, 4, 2, 5, 3]].
Cable 1: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
Cable 2: [5, 2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 5], [3, 4]].
Smallest equilibrium strut stress w1_min is .127322 occurring in representation dim3a.

```
```

```
• Example 6_14
```CC2_CLASS = 6, example 14:
Strut: [2, 1, 4, 3, 5]. 	 Disjoint cycle form:  [[1, 2], [3, 4]].
Cable 1: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
Cable 2: [5, 2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 5], [3, 4]].
Smallest equilibrium strut stress w1_min is .133622 occurring in representation dim3a.

```
```

```
• Example 6_15
```CC2_CLASS = 6, example 15:
Strut: [4, 5, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4], [2, 5]].
Cable 1: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
Cable 2: [5, 2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 5], [3, 4]].
Smallest equilibrium strut stress w1_min is .126009 occurring in representation dim3a.

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```

```
• Example 6_16
```CC2_CLASS = 6, example 16:
Strut: [3, 1, 5, 2, 4]. 	 Disjoint cycle form:  [[1, 3, 5, 4, 2]].
Cable 1: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
Cable 2: [5, 2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 5], [3, 4]].
Smallest equilibrium strut stress w1_min is .233033 occurring in representation dim3a.

```
```

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• Example 6_17
```CC2_CLASS = 6, example 17:
Strut: [1, 3, 4, 2, 5]. 	 Disjoint cycle form:  [[2, 3, 4]].
Cable 1: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
Cable 2: [5, 2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 5], [3, 4]].
Smallest equilibrium strut stress w1_min is .081595 occurring in representation dim3a.

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```

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• Example 6_18
```CC2_CLASS = 6, example 18:
Strut: [1, 3, 5, 4, 2]. 	 Disjoint cycle form:  [[2, 3, 5]].
Cable 1: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
Cable 2: [5, 2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 5], [3, 4]].
Smallest equilibrium strut stress w1_min is .352653 occurring in representation dim3a.

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```

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• Example 6_19
```CC2_CLASS = 6, example 19:
Strut: [4, 2, 5, 1, 3]. 	 Disjoint cycle form:  [[1, 4], [3, 5]].
Cable 1: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
Cable 2: [5, 2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 5], [3, 4]].
Smallest equilibrium strut stress w1_min is .127322 occurring in representation dim3a.

```
```

```
• Example 6_20
```CC2_CLASS = 6, example 20:
Strut: [5, 1, 2, 3, 4]. 	 Disjoint cycle form:  [[1, 5, 4, 3, 2]].
Cable 1: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
Cable 2: [5, 2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 5], [3, 4]].
Smallest equilibrium strut stress w1_min is .333333 occurring in representation dim3a.
POSSIBLE TIE involving representations: [dim3a, dim3b, dim5]

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```

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• Example 6_21
```CC2_CLASS = 6, example 21:
Strut: [3, 2, 1, 5, 4]. 	 Disjoint cycle form:  [[1, 3], [4, 5]].
Cable 1: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
Cable 2: [5, 2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 5], [3, 4]].
Smallest equilibrium strut stress w1_min is .121700 occurring in representation dim3a.

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```

```