Conjugacy Class 3 of Group S4

Cable 1:[4, 3, 1, 2].

Disjoint cycle form: [[1, 4, 2, 3]].

Cable 2:[3, 2, 1, 4].

Disjoint cycle form: [[1, 3]].

Example 3_1

CC2_CLASS = 3, example 1:
	Strut: [4, 3, 2, 1]. 	 Disjoint cycle form:  [[1, 4], [2, 3]].
	Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
	Cable 2: [3, 2, 1, 4]. 	 Disjoint cycle form:  [[1, 3]].
Smallest equilibrium strut stress w1_min is .333333 occurring in representation dim3a.

Example 3_2

CC2_CLASS = 3, example 2:
	Strut: [2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 2, 4]].
	Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
	Cable 2: [3, 2, 1, 4]. 	 Disjoint cycle form:  [[1, 3]].
Smallest equilibrium strut stress w1_min is .377160 occurring in representation dim3a.

Example 3_3

CC2_CLASS = 3, example 3:
	Strut: [2, 1, 3, 4]. 	 Disjoint cycle form:  [[1, 2]].
	Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
	Cable 2: [3, 2, 1, 4]. 	 Disjoint cycle form:  [[1, 3]].
Smallest equilibrium strut stress w1_min is .312132 occurring in representation dim3a.

Example 3_4

CC2_CLASS = 3, example 4:
	Strut: [2, 4, 1, 3]. 	 Disjoint cycle form:  [[1, 2, 4, 3]].
	Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
	Cable 2: [3, 2, 1, 4]. 	 Disjoint cycle form:  [[1, 3]].
Smallest equilibrium strut stress w1_min is .333333 occurring in representation dim2.
POSSIBLE TIE involving representations: [dim2, dim3a]

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

Example 3_5

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

Example 3_6

CC2_CLASS = 3, example 6:
	Strut: [2, 3, 4, 1]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
	Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
	Cable 2: [3, 2, 1, 4]. 	 Disjoint cycle form:  [[1, 3]].
Smallest equilibrium strut stress w1_min is .292893 occurring in representation dim3a.

Example 3_7

CC2_CLASS = 3, example 7:
	Strut: [3, 4, 1, 2]. 	 Disjoint cycle form:  [[1, 3], [2, 4]].
	Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
	Cable 2: [3, 2, 1, 4]. 	 Disjoint cycle form:  [[1, 3]].
Smallest equilibrium strut stress w1_min is .292893 occurring in representation dim3a.

Example 3_8

CC2_CLASS = 3, example 8:
	Strut: [4, 2, 3, 1]. 	 Disjoint cycle form:  [[1, 4]].
	Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
	Cable 2: [3, 2, 1, 4]. 	 Disjoint cycle form:  [[1, 3]].
Smallest equilibrium strut stress w1_min is .459687 occurring in representation dim3a.

Example 3_9

CC2_CLASS = 3, example 9:
	Strut: [2, 3, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3]].
	Cable 1: [4, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
	Cable 2: [3, 2, 1, 4]. 	 Disjoint cycle form:  [[1, 3]].
Smallest equilibrium strut stress w1_min is .212650 occurring in representation dim3a.

Example 3_10

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

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