# Conjugacy Class 2 of Group A5

Cable 1:[5, 4, 3, 2, 1].
Disjoint cycle form: [[1, 5], [2, 4]].
Cable 2:[4, 1, 2, 5, 3].
Disjoint cycle form: [[1, 4, 5, 3, 2]].
• Example 2_1
```CC2_CLASS = 2, example 1:
Strut: [2, 3, 1, 4, 5]. 	 Disjoint cycle form:  [[1, 2, 3]].
Cable 1: [5, 4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 4]].
Cable 2: [4, 1, 2, 5, 3]. 	 Disjoint cycle form:  [[1, 4, 5, 3, 2]].
Smallest equilibrium strut stress w1_min is .278562 occurring in representation dim3b.

```
```

```
• Example 2_2
```CC2_CLASS = 2, example 2:
Strut: [3, 4, 1, 2, 5]. 	 Disjoint cycle form:  [[1, 3], [2, 4]].
Cable 1: [5, 4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 4]].
Cable 2: [4, 1, 2, 5, 3]. 	 Disjoint cycle form:  [[1, 4, 5, 3, 2]].
Smallest equilibrium strut stress w1_min is .406462 occurring in representation dim3a.

```
```

```
• Example 2_3
```CC2_CLASS = 2, example 3:
Strut: [4, 3, 1, 5, 2]. 	 Disjoint cycle form:  [[1, 4, 5, 2, 3]].
Cable 1: [5, 4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 4]].
Cable 2: [4, 1, 2, 5, 3]. 	 Disjoint cycle form:  [[1, 4, 5, 3, 2]].
Smallest equilibrium strut stress w1_min is .356520 occurring in representation dim3a.

```
```

```
• Example 2_4
```CC2_CLASS = 2, example 4:
Strut: [1, 5, 4, 3, 2]. 	 Disjoint cycle form:  [[2, 5], [3, 4]].
Cable 1: [5, 4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 4]].
Cable 2: [4, 1, 2, 5, 3]. 	 Disjoint cycle form:  [[1, 4, 5, 3, 2]].
Smallest equilibrium strut stress w1_min is .381966 occurring in representation dim3b.

```
```
VERTEX OVERLAP: 2 other vertice(s) coincide with basepoint.

```
• Example 2_5
```CC2_CLASS = 2, example 5:
Strut: [2, 4, 5, 3, 1]. 	 Disjoint cycle form:  [[1, 2, 4, 3, 5]].
Cable 1: [5, 4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 4]].
Cable 2: [4, 1, 2, 5, 3]. 	 Disjoint cycle form:  [[1, 4, 5, 3, 2]].
Smallest equilibrium strut stress w1_min is .136178 occurring in representation dim3a.

```
```

```
• Example 2_6
```CC2_CLASS = 2, example 6:
Strut: [5, 2, 1, 4, 3]. 	 Disjoint cycle form:  [[1, 5, 3]].
Cable 1: [5, 4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 4]].
Cable 2: [4, 1, 2, 5, 3]. 	 Disjoint cycle form:  [[1, 4, 5, 3, 2]].
Smallest equilibrium strut stress w1_min is .129273 occurring in representation dim3a.

```
```

```
• Example 2_7
```CC2_CLASS = 2, example 7:
Strut: [4, 3, 2, 1, 5]. 	 Disjoint cycle form:  [[1, 4], [2, 3]].
Cable 1: [5, 4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 4]].
Cable 2: [4, 1, 2, 5, 3]. 	 Disjoint cycle form:  [[1, 4, 5, 3, 2]].
Smallest equilibrium strut stress w1_min is .311632 occurring in representation dim3a.

```
```

```
• Example 2_8
```CC2_CLASS = 2, example 8:
Strut: [3, 2, 1, 5, 4]. 	 Disjoint cycle form:  [[1, 3], [4, 5]].
Cable 1: [5, 4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 4]].
Cable 2: [4, 1, 2, 5, 3]. 	 Disjoint cycle form:  [[1, 4, 5, 3, 2]].
Smallest equilibrium strut stress w1_min is .193167 occurring in representation dim3a.

```
```

```
• Example 2_9
```CC2_CLASS = 2, example 9:
Strut: [1, 3, 2, 5, 4]. 	 Disjoint cycle form:  [[2, 3], [4, 5]].
Cable 1: [5, 4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 4]].
Cable 2: [4, 1, 2, 5, 3]. 	 Disjoint cycle form:  [[1, 4, 5, 3, 2]].
Smallest equilibrium strut stress w1_min is .239675 occurring in representation dim3a.

```
```

```
• Example 2_10
```CC2_CLASS = 2, example 10:
Strut: [1, 5, 3, 2, 4]. 	 Disjoint cycle form:  [[2, 5, 4]].
Cable 1: [5, 4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 4]].
Cable 2: [4, 1, 2, 5, 3]. 	 Disjoint cycle form:  [[1, 4, 5, 3, 2]].
Smallest equilibrium strut stress w1_min is .141975 occurring in representation dim3a.

```
```

```
• Example 2_11
```CC2_CLASS = 2, example 11:
Strut: [4, 5, 1, 2, 3]. 	 Disjoint cycle form:  [[1, 4, 2, 5, 3]].
Cable 1: [5, 4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 4]].
Cable 2: [4, 1, 2, 5, 3]. 	 Disjoint cycle form:  [[1, 4, 5, 3, 2]].
Smallest equilibrium strut stress w1_min is .115449 occurring in representation dim3a.

```
```

```
• Example 2_12
```CC2_CLASS = 2, example 12:
Strut: [4, 5, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4], [2, 5]].
Cable 1: [5, 4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 4]].
Cable 2: [4, 1, 2, 5, 3]. 	 Disjoint cycle form:  [[1, 4, 5, 3, 2]].
Smallest equilibrium strut stress w1_min is .190983 occurring in representation dim3a.

```
```

```
• Example 2_13
```CC2_CLASS = 2, example 13:
Strut: [3, 1, 5, 2, 4]. 	 Disjoint cycle form:  [[1, 3, 5, 4, 2]].
Cable 1: [5, 4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 4]].
Cable 2: [4, 1, 2, 5, 3]. 	 Disjoint cycle form:  [[1, 4, 5, 3, 2]].
Smallest equilibrium strut stress w1_min is .216920 occurring in representation dim3b.

```
```

```
• Example 2_14
```CC2_CLASS = 2, example 14:
Strut: [3, 2, 4, 1, 5]. 	 Disjoint cycle form:  [[1, 3, 4]].
Cable 1: [5, 4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 4]].
Cable 2: [4, 1, 2, 5, 3]. 	 Disjoint cycle form:  [[1, 4, 5, 3, 2]].
Smallest equilibrium strut stress w1_min is .127322 occurring in representation dim3a.

```
```

```
• Example 2_15
```CC2_CLASS = 2, example 15:
Strut: [2, 1, 3, 5, 4]. 	 Disjoint cycle form:  [[1, 2], [4, 5]].
Cable 1: [5, 4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 4]].
Cable 2: [4, 1, 2, 5, 3]. 	 Disjoint cycle form:  [[1, 4, 5, 3, 2]].
Smallest equilibrium strut stress w1_min is .216542 occurring in representation dim3a.

```
```

```
• Example 2_16
```CC2_CLASS = 2, example 16:
Strut: [1, 3, 5, 4, 2]. 	 Disjoint cycle form:  [[2, 3, 5]].
Cable 1: [5, 4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 4]].
Cable 2: [4, 1, 2, 5, 3]. 	 Disjoint cycle form:  [[1, 4, 5, 3, 2]].
Smallest equilibrium strut stress w1_min is .216542 occurring in representation dim3a.

```
```

```
• Example 2_17
```CC2_CLASS = 2, example 17:
Strut: [5, 3, 2, 4, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 3]].
Cable 1: [5, 4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 4]].
Cable 2: [4, 1, 2, 5, 3]. 	 Disjoint cycle form:  [[1, 4, 5, 3, 2]].
Smallest equilibrium strut stress w1_min is .196793 occurring in representation dim3a.

```
```

```
• Example 2_18
```CC2_CLASS = 2, example 18:
Strut: [4, 3, 5, 2, 1]. 	 Disjoint cycle form:  [[1, 4, 2, 3, 5]].
Cable 1: [5, 4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 4]].
Cable 2: [4, 1, 2, 5, 3]. 	 Disjoint cycle form:  [[1, 4, 5, 3, 2]].
Smallest equilibrium strut stress w1_min is .216542 occurring in representation dim3b.

```
```

```
• Example 2_19
```CC2_CLASS = 2, example 19:
Strut: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
Cable 1: [5, 4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 4]].
Cable 2: [4, 1, 2, 5, 3]. 	 Disjoint cycle form:  [[1, 4, 5, 3, 2]].
Smallest equilibrium strut stress w1_min is .381966 occurring in representation dim3b.
POSSIBLE TIE involving representations: [dim3b, dim5]

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

```
• Example 2_20
```CC2_CLASS = 2, example 20:
Strut: [4, 2, 3, 5, 1]. 	 Disjoint cycle form:  [[1, 4, 5]].
Cable 1: [5, 4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 4]].
Cable 2: [4, 1, 2, 5, 3]. 	 Disjoint cycle form:  [[1, 4, 5, 3, 2]].
Smallest equilibrium strut stress w1_min is .241670 occurring in representation dim5.

```
```

```
• Example 2_21
```CC2_CLASS = 2, example 21:
Strut: [2, 5, 1, 3, 4]. 	 Disjoint cycle form:  [[1, 2, 5, 4, 3]].
Cable 1: [5, 4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 4]].
Cable 2: [4, 1, 2, 5, 3]. 	 Disjoint cycle form:  [[1, 4, 5, 3, 2]].
Smallest equilibrium strut stress w1_min is .160357 occurring in representation dim3a.

```
```

```