Conjugacy Class 2 of Group S4Z2

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

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

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

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

Example 2_1

CC2_CLASS = 2, example 1:
	Strut: [2, 1, 4, 3, 5, 6]. 	 Disjoint cycle form:  [[1, 2], [3, 4]].
	Cable 1: [3, 1, 2, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 2], [5, 6]].
	Cable 2: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
Smallest equilibrium strut stress w1_min is .361508 occurring in representation dim3a.

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

Example 2_2

CC2_CLASS = 2, example 2:
	Strut: [1, 4, 3, 2, 6, 5]. 	 Disjoint cycle form:  [[2, 4], [5, 6]].
	Cable 1: [3, 1, 2, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 2], [5, 6]].
	Cable 2: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
Smallest equilibrium strut stress w1_min is .420204 occurring in representation dim3a.

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

Example 2_3

CC2_CLASS = 2, example 3:
	Strut: [3, 4, 1, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 3], [2, 4], [5, 6]].
	Cable 1: [3, 1, 2, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 2], [5, 6]].
	Cable 2: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
Smallest equilibrium strut stress w1_min is .361508 occurring in representation dim3a.

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

Example 2_4

CC2_CLASS = 2, example 4:
	Strut: [1, 2, 4, 3, 5, 6]. 	 Disjoint cycle form:  [[3, 4]].
	Cable 1: [3, 1, 2, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 2], [5, 6]].
	Cable 2: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
Smallest equilibrium strut stress w1_min is .420204 occurring in representation dim3a.

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

Example 2_5

CC2_CLASS = 2, example 5:
	Strut: [4, 2, 1, 3, 5, 6]. 	 Disjoint cycle form:  [[1, 4, 3]].
	Cable 1: [3, 1, 2, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 2], [5, 6]].
	Cable 2: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
Smallest equilibrium strut stress w1_min is .152445 occurring in representation dim3a.

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

Example 2_6

CC2_CLASS = 2, example 6:
	Strut: [3, 2, 1, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 3], [5, 6]].
	Cable 1: [3, 1, 2, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 2], [5, 6]].
	Cable 2: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
Smallest equilibrium strut stress w1_min is .227791 occurring in representation dim3a.

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

Example 2_7

CC2_CLASS = 2, example 7:
	Strut: [3, 1, 4, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 4, 2], [5, 6]].
	Cable 1: [3, 1, 2, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 2], [5, 6]].
	Cable 2: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
Smallest equilibrium strut stress w1_min is .25 occurring in representation dim3a.

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

Example 2_8

CC2_CLASS = 2, example 8:
	Strut: [2, 3, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3, 4]].
	Cable 1: [3, 1, 2, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 2], [5, 6]].
	Cable 2: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
Smallest equilibrium strut stress w1_min is .361508 occurring in representation dim3a.

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

Example 2_9

CC2_CLASS = 2, example 9:
	Strut: [1, 3, 2, 4, 5, 6]. 	 Disjoint cycle form:  [[2, 3]].
	Cable 1: [3, 1, 2, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 2], [5, 6]].
	Cable 2: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
Smallest equilibrium strut stress w1_min is .219223 occurring in representation dim3a.

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

Example 2_10

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

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

Example 2_11

CC2_CLASS = 2, example 11:
	Strut: [3, 2, 4, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 4], [5, 6]].
	Cable 1: [3, 1, 2, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 2], [5, 6]].
	Cable 2: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
Smallest equilibrium strut stress w1_min is .152445 occurring in representation dim3a.

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

Example 2_12

CC2_CLASS = 2, example 12:
	Strut: [4, 3, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 4], [2, 3]].
	Cable 1: [3, 1, 2, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 2], [5, 6]].
	Cable 2: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
Smallest equilibrium strut stress w1_min is .25 occurring in representation dim3a.

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

Example 2_13

CC2_CLASS = 2, example 13:
	Strut: [2, 3, 1, 4, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3]].
	Cable 1: [3, 1, 2, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 2], [5, 6]].
	Cable 2: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
Smallest equilibrium strut stress w1_min is .333333 occurring in representation dim2r.
POSSIBLE TIE involving representations: [dim2r, dim3ar]

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

Example 2_14

CC2_CLASS = 2, example 14:
	Strut: [3, 1, 4, 2, 5, 6]. 	 Disjoint cycle form:  [[1, 3, 4, 2]].
	Cable 1: [3, 1, 2, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 2], [5, 6]].
	Cable 2: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
Smallest equilibrium strut stress w1_min is .25 occurring in representation dim3a.
POSSIBLE TIE involving representations: [dim3a, dim2r]

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

Example 2_15

CC2_CLASS = 2, example 15:
	Strut: [2, 1, 3, 4, 5, 6]. 	 Disjoint cycle form:  [[1, 2]].
	Cable 1: [3, 1, 2, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 2], [5, 6]].
	Cable 2: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
Smallest equilibrium strut stress w1_min is .227791 occurring in representation dim3a.

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

Example 2_16

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

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

Example 2_17

CC2_CLASS = 2, example 17:
	Strut: [1, 3, 2, 4, 6, 5]. 	 Disjoint cycle form:  [[2, 3], [5, 6]].
	Cable 1: [3, 1, 2, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 2], [5, 6]].
	Cable 2: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
Smallest equilibrium strut stress w1_min is .219223 occurring in representation dim3a.

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

Example 2_18

CC2_CLASS = 2, example 18:
	Strut: [4, 3, 2, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [2, 3], [5, 6]].
	Cable 1: [3, 1, 2, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 2], [5, 6]].
	Cable 2: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
Smallest equilibrium strut stress w1_min is .25 occurring in representation dim3a.

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

Example 2_19

CC2_CLASS = 2, example 19:
	Strut: [4, 2, 3, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 4]].
	Cable 1: [3, 1, 2, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 2], [5, 6]].
	Cable 2: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
Smallest equilibrium strut stress w1_min is .5 occurring in representation dim2r.
POSSIBLE TIE involving representations: [dim2r, dim3ar]

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

Example 2_20

CC2_CLASS = 2, example 20:
	Strut: [1, 4, 2, 3, 5, 6]. 	 Disjoint cycle form:  [[2, 4, 3]].
	Cable 1: [3, 1, 2, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 2], [5, 6]].
	Cable 2: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
Smallest equilibrium strut stress w1_min is .2 occurring in representation dim3a.

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

Example 2_21

CC2_CLASS = 2, example 21:
	Strut: [1, 2, 3, 4, 6, 5]. 	 Disjoint cycle form:  [[5, 6]].
	Cable 1: [3, 1, 2, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 3, 2], [5, 6]].
	Cable 2: [4, 2, 3, 1, 6, 5]. 	 Disjoint cycle form:  [[1, 4], [5, 6]].
Smallest equilibrium strut stress w1_min is .5 occurring in representation dim2r.
POSSIBLE TIE involving representations: [dim2r, dim3ar]

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