Conjugacy Class 4 of Group S4Z2

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

Disjoint cycle form: [[1, 4, 2, 3], [5, 6]].

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

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

Example 4_1

CC2_CLASS = 4, example 1:
	Strut: [2, 1, 4, 3, 5, 6]. 	 Disjoint cycle form:  [[1, 2], [3, 4]].
	Cable 1: [4, 3, 1, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 4, 2, 3], [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, dim3ar]

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

Example 4_2

CC2_CLASS = 4, example 2:
	Strut: [1, 4, 2, 3, 5, 6]. 	 Disjoint cycle form:  [[2, 4, 3]].
	Cable 1: [4, 3, 1, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 4, 2, 3], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .178632 occurring in representation dim2r.

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

Example 4_3

CC2_CLASS = 4, example 3:
	Strut: [3, 4, 1, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 3], [2, 4], [5, 6]].
	Cable 1: [4, 3, 1, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 4, 2, 3], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .267949 occurring in representation dim2r.

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

Example 4_4

CC2_CLASS = 4, example 4:
	Strut: [1, 2, 4, 3, 5, 6]. 	 Disjoint cycle form:  [[3, 4]].
	Cable 1: [4, 3, 1, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 4, 2, 3], [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 4_5

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

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

Example 4_6

CC2_CLASS = 4, example 6:
	Strut: [1, 4, 3, 2, 6, 5]. 	 Disjoint cycle form:  [[2, 4], [5, 6]].
	Cable 1: [4, 3, 1, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 4, 2, 3], [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 4_7

CC2_CLASS = 4, example 7:
	Strut: [1, 2, 4, 3, 6, 5]. 	 Disjoint cycle form:  [[3, 4], [5, 6]].
	Cable 1: [4, 3, 1, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 4, 2, 3], [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, dim3br]

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

Example 4_8

CC2_CLASS = 4, example 8:
	Strut: [3, 4, 1, 2, 5, 6]. 	 Disjoint cycle form:  [[1, 3], [2, 4]].
	Cable 1: [4, 3, 1, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 4, 2, 3], [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, dim3br]

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

Example 4_9

CC2_CLASS = 4, example 9:
	Strut: [3, 1, 4, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 4, 2], [5, 6]].
	Cable 1: [4, 3, 1, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 4, 2, 3], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .25 occurring in representation dim2r.

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

Example 4_10

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

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

Example 4_11

CC2_CLASS = 4, example 11:
	Strut: [2, 3, 1, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 2, 3], [5, 6]].
	Cable 1: [4, 3, 1, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 4, 2, 3], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .535898 occurring in representation dim2r.

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

Example 4_12

CC2_CLASS = 4, example 12:
	Strut: [4, 1, 2, 3, 6, 5]. 	 Disjoint cycle form:  [[1, 4, 3, 2], [5, 6]].
	Cable 1: [4, 3, 1, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 4, 2, 3], [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 4_13

CC2_CLASS = 4, example 13:
	Strut: [4, 3, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 4], [2, 3]].
	Cable 1: [4, 3, 1, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 4, 2, 3], [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, dim3ar, dim3br]

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

Example 4_14

CC2_CLASS = 4, example 14:
	Strut: [3, 1, 4, 2, 5, 6]. 	 Disjoint cycle form:  [[1, 3, 4, 2]].
	Cable 1: [4, 3, 1, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 4, 2, 3], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .25 occurring in representation dim2r.

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

Example 4_15

CC2_CLASS = 4, example 15:
	Strut: [1, 4, 3, 2, 5, 6]. 	 Disjoint cycle form:  [[2, 4]].
	Cable 1: [4, 3, 1, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 4, 2, 3], [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, dim3ar]

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

Example 4_16

CC2_CLASS = 4, example 16:
	Strut: [4, 3, 1, 2, 5, 6]. 	 Disjoint cycle form:  [[1, 4, 2, 3]].
	Cable 1: [4, 3, 1, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 4, 2, 3], [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 4_17

CC2_CLASS = 4, example 17:
	Strut: [4, 3, 2, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [2, 3], [5, 6]].
	Cable 1: [4, 3, 1, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 4, 2, 3], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .267949 occurring in representation dim2r.

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

Example 4_18

CC2_CLASS = 4, example 18:
	Strut: [1, 2, 3, 4, 6, 5]. 	 Disjoint cycle form:  [[5, 6]].
	Cable 1: [4, 3, 1, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 4, 2, 3], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .267949 occurring in representation dim2r.

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

Example 4_19

CC2_CLASS = 4, example 19:
	Strut: [2, 1, 4, 3, 6, 5]. 	 Disjoint cycle form:  [[1, 2], [3, 4], [5, 6]].
	Cable 1: [4, 3, 1, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 4, 2, 3], [5, 6]].
	Cable 2: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
Smallest equilibrium strut stress w1_min is .267949 occurring in representation dim2r.

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