# Conjugacy Class 5 of Group A5

Cable 1:[2, 3, 5, 1, 4].
Disjoint cycle form: [[1, 2, 3, 5, 4]].
Cable 2:[4, 3, 5, 2, 1].
Disjoint cycle form: [[1, 4, 2, 3, 5]].
• Example 5_1
```CC2_CLASS = 5, example 1:
Strut: [2, 3, 1, 4, 5]. 	 Disjoint cycle form:  [[1, 2, 3]].
Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
Cable 2: [4, 3, 5, 2, 1]. 	 Disjoint cycle form:  [[1, 4, 2, 3, 5]].
Smallest equilibrium strut stress w1_min is .337679 occurring in representation dim3b.

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• Example 5_2
```CC2_CLASS = 5, example 2:
Strut: [3, 4, 1, 2, 5]. 	 Disjoint cycle form:  [[1, 3], [2, 4]].
Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
Cable 2: [4, 3, 5, 2, 1]. 	 Disjoint cycle form:  [[1, 4, 2, 3, 5]].
Smallest equilibrium strut stress w1_min is .504801 occurring in representation dim3b.

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• Example 5_3
```CC2_CLASS = 5, example 3:
Strut: [3, 5, 1, 4, 2]. 	 Disjoint cycle form:  [[1, 3], [2, 5]].
Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
Cable 2: [4, 3, 5, 2, 1]. 	 Disjoint cycle form:  [[1, 4, 2, 3, 5]].
Smallest equilibrium strut stress w1_min is 1.25 occurring in representation dim3a.
POSSIBLE TIE involving representations: [dim3a, dim3b]

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• Example 5_4
```CC2_CLASS = 5, example 4:
Strut: [4, 3, 2, 1, 5]. 	 Disjoint cycle form:  [[1, 4], [2, 3]].
Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
Cable 2: [4, 3, 5, 2, 1]. 	 Disjoint cycle form:  [[1, 4, 2, 3, 5]].
Smallest equilibrium strut stress w1_min is .736237 occurring in representation dim3a.
POSSIBLE TIE involving representations: [dim3a, dim3b]

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```

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• Example 5_5
```CC2_CLASS = 5, example 5:
Strut: [4, 1, 5, 3, 2]. 	 Disjoint cycle form:  [[1, 4, 3, 5, 2]].
Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
Cable 2: [4, 3, 5, 2, 1]. 	 Disjoint cycle form:  [[1, 4, 2, 3, 5]].
Smallest equilibrium strut stress w1_min is .297335 occurring in representation dim3b.

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```

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• Example 5_6
```CC2_CLASS = 5, example 6:
Strut: [1, 3, 2, 5, 4]. 	 Disjoint cycle form:  [[2, 3], [4, 5]].
Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
Cable 2: [4, 3, 5, 2, 1]. 	 Disjoint cycle form:  [[1, 4, 2, 3, 5]].
Smallest equilibrium strut stress w1_min is .512305 occurring in representation dim3b.

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```

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• Example 5_7
```CC2_CLASS = 5, example 7:
Strut: [2, 5, 1, 3, 4]. 	 Disjoint cycle form:  [[1, 2, 5, 4, 3]].
Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
Cable 2: [4, 3, 5, 2, 1]. 	 Disjoint cycle form:  [[1, 4, 2, 3, 5]].
Smallest equilibrium strut stress w1_min is .381966 occurring in representation dim3a.

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

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• Example 5_8
```CC2_CLASS = 5, example 8:
Strut: [5, 1, 4, 2, 3]. 	 Disjoint cycle form:  [[1, 5, 3, 4, 2]].
Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
Cable 2: [4, 3, 5, 2, 1]. 	 Disjoint cycle form:  [[1, 4, 2, 3, 5]].
Smallest equilibrium strut stress w1_min is .342221 occurring in representation dim3a.

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```

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• Example 5_9
```CC2_CLASS = 5, example 9:
Strut: [1, 4, 3, 5, 2]. 	 Disjoint cycle form:  [[2, 4, 5]].
Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
Cable 2: [4, 3, 5, 2, 1]. 	 Disjoint cycle form:  [[1, 4, 2, 3, 5]].
Smallest equilibrium strut stress w1_min is .364427 occurring in representation dim3a.
POSSIBLE TIE involving representations: [dim3a, dim3b]

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```

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

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```

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• Example 5_11
```CC2_CLASS = 5, example 11:
Strut: [4, 2, 1, 3, 5]. 	 Disjoint cycle form:  [[1, 4, 3]].
Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
Cable 2: [4, 3, 5, 2, 1]. 	 Disjoint cycle form:  [[1, 4, 2, 3, 5]].
Smallest equilibrium strut stress w1_min is .333333 occurring in representation dim3a.
POSSIBLE TIE involving representations: [dim3a, dim3b]

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```

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• Example 5_12
```CC2_CLASS = 5, example 12:
Strut: [5, 4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 4]].
Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
Cable 2: [4, 3, 5, 2, 1]. 	 Disjoint cycle form:  [[1, 4, 2, 3, 5]].
Smallest equilibrium strut stress w1_min is .552786 occurring in representation dim3b.

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• Example 5_13
```CC2_CLASS = 5, example 13:
Strut: [1, 3, 5, 4, 2]. 	 Disjoint cycle form:  [[2, 3, 5]].
Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
Cable 2: [4, 3, 5, 2, 1]. 	 Disjoint cycle form:  [[1, 4, 2, 3, 5]].
Smallest equilibrium strut stress w1_min is .5 occurring in representation dim3a.
POSSIBLE TIE involving representations: [dim3a, dim3b, dim5]

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• Example 5_14
```CC2_CLASS = 5, example 14:
Strut: [5, 2, 3, 1, 4]. 	 Disjoint cycle form:  [[1, 5, 4]].
Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
Cable 2: [4, 3, 5, 2, 1]. 	 Disjoint cycle form:  [[1, 4, 2, 3, 5]].
Smallest equilibrium strut stress w1_min is .591751 occurring in representation dim3a.
POSSIBLE TIE involving representations: [dim3a, dim3b]

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