# Conjugacy Class 7 of Group S4Z2

Cable 1:[3, 4, 2, 1, 5, 6].
Disjoint cycle form: [[1, 3, 2, 4]].
Cable 2:[2, 3, 1, 4, 6, 5].
Disjoint cycle form: [[1, 2, 3], [5, 6]].
• Example 7_1
```CC2_CLASS = 7, example 1:
Strut: [3, 4, 1, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 3], [2, 4], [5, 6]].
Cable 1: [3, 4, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
Cable 2: [2, 3, 1, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 2, 3], [5, 6]].
Smallest equilibrium strut stress w1_min is .5 occurring in representation dim2r.

```
```
VERTEX OVERLAP: 7 other vertice(s) coincide with basepoint.
DEGENERATE EDGES: 1 edge(s) of length 0.

```
• Example 7_2
```CC2_CLASS = 7, example 2:
Strut: [1, 2, 4, 3, 5, 6]. 	 Disjoint cycle form:  [[3, 4]].
Cable 1: [3, 4, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
Cable 2: [2, 3, 1, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 2, 3], [5, 6]].
Smallest equilibrium strut stress w1_min is .666666 occurring in representation dim3a.

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

```
• Example 7_3
```CC2_CLASS = 7, example 3:
Strut: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
Cable 1: [3, 4, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
Cable 2: [2, 3, 1, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 2, 3], [5, 6]].
Smallest equilibrium strut stress w1_min is 1.25 occurring in representation dim3a.
POSSIBLE TIE involving representations: [dim3a, dim2r]

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

```
• Example 7_4
```CC2_CLASS = 7, example 4:
Strut: [4, 2, 1, 3, 5, 6]. 	 Disjoint cycle form:  [[1, 4, 3]].
Cable 1: [3, 4, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
Cable 2: [2, 3, 1, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 2, 3], [5, 6]].
Smallest equilibrium strut stress w1_min is .333333 occurring in representation dim2r.

```
```
VERTEX OVERLAP: 7 other vertice(s) coincide with basepoint.
DEGENERATE EDGES: 1 edge(s) of length 0.

```
• Example 7_5
```CC2_CLASS = 7, example 5:
Strut: [1, 3, 2, 4, 6, 5]. 	 Disjoint cycle form:  [[2, 3], [5, 6]].
Cable 1: [3, 4, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
Cable 2: [2, 3, 1, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 2, 3], [5, 6]].
Smallest equilibrium strut stress w1_min is .533947 occurring in representation dim3a.

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

```
• Example 7_6
```CC2_CLASS = 7, example 6:
Strut: [3, 4, 1, 2, 5, 6]. 	 Disjoint cycle form:  [[1, 3], [2, 4]].
Cable 1: [3, 4, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
Cable 2: [2, 3, 1, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 2, 3], [5, 6]].
Smallest equilibrium strut stress w1_min is .574609 occurring in representation dim3a.

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

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

```
```
VERTEX OVERLAP: 5 other vertice(s) coincide with basepoint.
DEGENERATE EDGES: 1 edge(s) of length 0.

```
• Example 7_8
```CC2_CLASS = 7, example 8:
Strut: [3, 1, 4, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 4, 2], [5, 6]].
Cable 1: [3, 4, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
Cable 2: [2, 3, 1, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 2, 3], [5, 6]].
Smallest equilibrium strut stress w1_min is .574609 occurring in representation dim3a.

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

```
• Example 7_9
```CC2_CLASS = 7, example 9:
Strut: [4, 1, 2, 3, 5, 6]. 	 Disjoint cycle form:  [[1, 4, 3, 2]].
Cable 1: [3, 4, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
Cable 2: [2, 3, 1, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 2, 3], [5, 6]].
Smallest equilibrium strut stress w1_min is .3125 occurring in representation dim2r.

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

```
• Example 7_10
```CC2_CLASS = 7, example 10:
Strut: [1, 3, 2, 4, 5, 6]. 	 Disjoint cycle form:  [[2, 3]].
Cable 1: [3, 4, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
Cable 2: [2, 3, 1, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 2, 3], [5, 6]].
Smallest equilibrium strut stress w1_min is .533947 occurring in representation dim3a.

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

```
• Example 7_11
```CC2_CLASS = 7, example 11:
Strut: [1, 2, 4, 3, 6, 5]. 	 Disjoint cycle form:  [[3, 4], [5, 6]].
Cable 1: [3, 4, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
Cable 2: [2, 3, 1, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 2, 3], [5, 6]].
Smallest equilibrium strut stress w1_min is .5 occurring in representation dim2r.

```
```
VERTEX OVERLAP: 7 other vertice(s) coincide with basepoint.
DEGENERATE EDGES: 1 edge(s) of length 0.

```
• Example 7_12
```CC2_CLASS = 7, example 12:
Strut: [3, 2, 4, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 4], [5, 6]].
Cable 1: [3, 4, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
Cable 2: [2, 3, 1, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 2, 3], [5, 6]].
Smallest equilibrium strut stress w1_min is .404566 occurring in representation dim3a.

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

```
• Example 7_13
```CC2_CLASS = 7, example 13:
Strut: [2, 3, 1, 4, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3]].
Cable 1: [3, 4, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
Cable 2: [2, 3, 1, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 2, 3], [5, 6]].
Smallest equilibrium strut stress w1_min is .333333 occurring in representation dim2r.

```
```
VERTEX OVERLAP: 7 other vertice(s) coincide with basepoint.
DEGENERATE EDGES: 1 edge(s) of length 0.

```
• Example 7_14
```CC2_CLASS = 7, example 14:
Strut: [1, 4, 3, 2, 5, 6]. 	 Disjoint cycle form:  [[2, 4]].
Cable 1: [3, 4, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
Cable 2: [2, 3, 1, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 2, 3], [5, 6]].
Smallest equilibrium strut stress w1_min is .625 occurring in representation dim2r.

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

```
• Example 7_15
```CC2_CLASS = 7, example 15:
Strut: [2, 1, 3, 4, 5, 6]. 	 Disjoint cycle form:  [[1, 2]].
Cable 1: [3, 4, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
Cable 2: [2, 3, 1, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 2, 3], [5, 6]].
Smallest equilibrium strut stress w1_min is .5 occurring in representation dim3a.

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

```
• Example 7_16
```CC2_CLASS = 7, example 16:
Strut: [4, 1, 3, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 4, 2], [5, 6]].
Cable 1: [3, 4, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
Cable 2: [2, 3, 1, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 2, 3], [5, 6]].
Smallest equilibrium strut stress w1_min is .333333 occurring in representation dim3a.

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

```
• Example 7_17
```CC2_CLASS = 7, example 17:
Strut: [4, 1, 3, 2, 5, 6]. 	 Disjoint cycle form:  [[1, 4, 2]].
Cable 1: [3, 4, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
Cable 2: [2, 3, 1, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 2, 3], [5, 6]].
Smallest equilibrium strut stress w1_min is .333333 occurring in representation dim3a.
POSSIBLE TIE involving representations: [dim3a, dim2r]

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

```
• Example 7_18
```CC2_CLASS = 7, example 18:
Strut: [2, 1, 3, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 2], [5, 6]].
Cable 1: [3, 4, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
Cable 2: [2, 3, 1, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 2, 3], [5, 6]].
Smallest equilibrium strut stress w1_min is .5 occurring in representation dim3a.
POSSIBLE TIE involving representations: [dim3a, dim2r]

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

```
• Example 7_19
```CC2_CLASS = 7, example 19:
Strut: [1, 2, 3, 4, 6, 5]. 	 Disjoint cycle form:  [[5, 6]].
Cable 1: [3, 4, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
Cable 2: [2, 3, 1, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 2, 3], [5, 6]].
Smallest equilibrium strut stress w1_min is .5 occurring in representation dim2r.

```
```
VERTEX OVERLAP: 7 other vertice(s) coincide with basepoint.
DEGENERATE EDGES: 1 edge(s) of length 0.

```
• Example 7_20
```CC2_CLASS = 7, example 20:
Strut: [3, 4, 2, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 2, 4], [5, 6]].
Cable 1: [3, 4, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
Cable 2: [2, 3, 1, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 2, 3], [5, 6]].
Smallest equilibrium strut stress w1_min is .25 occurring in representation dim2r.

```
```
VERTEX OVERLAP: 7 other vertice(s) coincide with basepoint.
DEGENERATE EDGES: 1 edge(s) of length 0.

```
• Example 7_21
```CC2_CLASS = 7, example 21:
Strut: [2, 1, 4, 3, 6, 5]. 	 Disjoint cycle form:  [[1, 2], [3, 4], [5, 6]].
Cable 1: [3, 4, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 3, 2, 4]].
Cable 2: [2, 3, 1, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 2, 3], [5, 6]].
Smallest equilibrium strut stress w1_min is .5 occurring in representation dim2r.

```
```
VERTEX OVERLAP: 7 other vertice(s) coincide with basepoint.
DEGENERATE EDGES: 1 edge(s) of length 0.

```