Conjugacy Class 3 of Group S4Z2

Cable 1:[4, 2, 3, 1, 6, 5].

Disjoint cycle form: [[1, 4], [5, 6]].

Cable 2:[2, 3, 4, 1, 5, 6].

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

Example 3_1

CC2_CLASS = 3, example 1:
	Strut: [2, 1, 4, 3, 5, 6]. 	 Disjoint cycle form:  [[1, 2], [3, 4]].
	Cable 1: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .333333 occurring in representation dim3a.
POSSIBLE TIE involving representations: [dim3a, dim3ar]

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

Example 3_2

CC2_CLASS = 3, example 2:
	Strut: [3, 4, 1, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 3], [2, 4], [5, 6]].
	Cable 1: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .177124 occurring in representation dim2r.

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

Example 3_3

CC2_CLASS = 3, example 3:
	Strut: [1, 2, 4, 3, 5, 6]. 	 Disjoint cycle form:  [[3, 4]].
	Cable 1: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .285714 occurring in representation dim2r.

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

Example 3_4

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

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

Example 3_5

CC2_CLASS = 3, example 5:
	Strut: [4, 2, 1, 3, 5, 6]. 	 Disjoint cycle form:  [[1, 4, 3]].
	Cable 1: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .118082 occurring in representation dim2r.

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

Example 3_6

CC2_CLASS = 3, example 6:
	Strut: [1, 4, 3, 2, 6, 5]. 	 Disjoint cycle form:  [[2, 4], [5, 6]].
	Cable 1: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .181818 occurring in representation dim2r.

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

Example 3_7

CC2_CLASS = 3, example 7:
	Strut: [3, 4, 1, 2, 5, 6]. 	 Disjoint cycle form:  [[1, 3], [2, 4]].
	Cable 1: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is 1 occurring in representation dim3a.
POSSIBLE TIE involving representations: [dim3a, dim3b, dim3ar]

VERTEX OVERLAP: 3 other vertice(s) coincide with basepoint.
DEGENERATE EDGES: 1 edge(s) of length 0.

Example 3_8

CC2_CLASS = 3, example 8:
	Strut: [1, 4, 2, 3, 5, 6]. 	 Disjoint cycle form:  [[2, 4, 3]].
	Cable 1: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .118082 occurring in representation dim2r.

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

Example 3_9

CC2_CLASS = 3, example 9:
	Strut: [3, 1, 4, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 4, 2], [5, 6]].
	Cable 1: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .292893 occurring in representation dim3a.
POSSIBLE TIE involving representations: [dim3a, dim3ar]

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

Example 3_10

CC2_CLASS = 3, example 10:
	Strut: [1, 3, 2, 4, 5, 6]. 	 Disjoint cycle form:  [[2, 3]].
	Cable 1: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .2 occurring in representation dim2r.

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

Example 3_11

CC2_CLASS = 3, example 11:
	Strut: [3, 1, 2, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 2], [5, 6]].
	Cable 1: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .354248 occurring in representation dim2r.

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

Example 3_12

CC2_CLASS = 3, example 12:
	Strut: [4, 1, 2, 3, 6, 5]. 	 Disjoint cycle form:  [[1, 4, 3, 2], [5, 6]].
	Cable 1: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .090909 occurring in representation dim2r.

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

Example 3_13

CC2_CLASS = 3, example 13:
	Strut: [3, 2, 4, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 4], [5, 6]].
	Cable 1: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .198062 occurring in representation dim3ar.

Example 3_14

CC2_CLASS = 3, example 14:
	Strut: [4, 3, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 4], [2, 3]].
	Cable 1: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .292893 occurring in representation dim3a.
POSSIBLE TIE involving representations: [dim3a, dim3ar]

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

Example 3_15

CC2_CLASS = 3, example 15:
	Strut: [2, 4, 1, 3, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 4, 3]].
	Cable 1: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .1 occurring in representation dim2r.

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

Example 3_16

CC2_CLASS = 3, example 16:
	Strut: [3, 2, 1, 4, 5, 6]. 	 Disjoint cycle form:  [[1, 3]].
	Cable 1: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .310102 occurring in representation dim3ar.

Example 3_17

CC2_CLASS = 3, example 17:
	Strut: [1, 3, 2, 4, 6, 5]. 	 Disjoint cycle form:  [[2, 3], [5, 6]].
	Cable 1: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .333333 occurring in representation dim3a.
POSSIBLE TIE involving representations: [dim3a, dim3ar]

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

Example 3_18

CC2_CLASS = 3, example 18:
	Strut: [4, 2, 3, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 4]].
	Cable 1: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .2 occurring in representation dim2r.

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

Example 3_19

CC2_CLASS = 3, example 19:
	Strut: [4, 3, 1, 2, 5, 6]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
	Cable 1: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .142857 occurring in representation dim2r.

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

Example 3_20

CC2_CLASS = 3, example 20:
	Strut: [4, 3, 2, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [2, 3], [5, 6]].
	Cable 1: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .177124 occurring in representation dim2r.

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

Example 3_21

CC2_CLASS = 3, example 21:
	Strut: [1, 2, 3, 4, 6, 5]. 	 Disjoint cycle form:  [[5, 6]].
	Cable 1: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .177124 occurring in representation dim2r.

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

Example 3_22

CC2_CLASS = 3, example 22:
	Strut: [4, 3, 1, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 4, 2, 3], [5, 6]].
	Cable 1: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .2 occurring in representation dim2r.

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

Example 3_23

CC2_CLASS = 3, example 23:
	Strut: [2, 1, 4, 3, 6, 5]. 	 Disjoint cycle form:  [[1, 2], [3, 4], [5, 6]].
	Cable 1: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .177124 occurring in representation dim2r.

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