Conjugacy Class 3 of Group A4Z2

Cable 1:[1, 4, 2, 3, 6, 5].
Disjoint cycle form: [[2, 4, 3], [5, 6]].
Cable 2:[2, 1, 4, 3, 5, 6].
Disjoint cycle form: [[1, 2], [3, 4]].
  • Example 3_1
    CC2_CLASS = 3, example 1:
    	Strut: [2, 3, 1, 4, 6, 5]. 	 Disjoint cycle form:  [[1, 2, 3], [5, 6]].
    	Cable 1: [1, 4, 2, 3, 6, 5]. 	 Disjoint cycle form:  [[2, 4, 3], [5, 6]].
    	Cable 2: [2, 1, 4, 3, 5, 6]. 	 Disjoint cycle form:  [[1, 2], [3, 4]].
    Smallest equilibrium strut stress w1_min is .404566 occurring in representation dim3.
    
    
    
    VERTEX OVERLAP: 1 other vertice(s) coincide with basepoint.
    
    
    
  • Example 3_2
    CC2_CLASS = 3, example 2:
    	Strut: [2, 3, 1, 4, 5, 6]. 	 Disjoint cycle form:  [[1, 2, 3]].
    	Cable 1: [1, 4, 2, 3, 6, 5]. 	 Disjoint cycle form:  [[2, 4, 3], [5, 6]].
    	Cable 2: [2, 1, 4, 3, 5, 6]. 	 Disjoint cycle form:  [[1, 2], [3, 4]].
    Smallest equilibrium strut stress w1_min is .333333 occurring in representation dim1ar.
    POSSIBLE TIE involving representations: [dim1ar, dim1br]
    
    
    
    VERTEX OVERLAP: 3 other vertice(s) coincide with basepoint.
    DEGENERATE EDGES: 1 edge(s) of length 0.
    
    
  • Example 3_3
    CC2_CLASS = 3, example 3:
    	Strut: [1, 2, 3, 4, 6, 5]. 	 Disjoint cycle form:  [[5, 6]].
    	Cable 1: [1, 4, 2, 3, 6, 5]. 	 Disjoint cycle form:  [[2, 4, 3], [5, 6]].
    	Cable 2: [2, 1, 4, 3, 5, 6]. 	 Disjoint cycle form:  [[1, 2], [3, 4]].
    Smallest equilibrium strut stress w1_min is .5 occurring in representation dim1ar.
    POSSIBLE TIE involving representations: [dim1ar, dim1br]
    
    
    
    VERTEX OVERLAP: 3 other vertice(s) coincide with basepoint.
    DEGENERATE EDGES: 1 edge(s) of length 0.
    
    
  • Example 3_4
    CC2_CLASS = 3, example 4:
    	Strut: [2, 1, 4, 3, 6, 5]. 	 Disjoint cycle form:  [[1, 2], [3, 4], [5, 6]].
    	Cable 1: [1, 4, 2, 3, 6, 5]. 	 Disjoint cycle form:  [[2, 4, 3], [5, 6]].
    	Cable 2: [2, 1, 4, 3, 5, 6]. 	 Disjoint cycle form:  [[1, 2], [3, 4]].
    Smallest equilibrium strut stress w1_min is .5 occurring in representation dim1ar.
    POSSIBLE TIE involving representations: [dim1ar, dim1br]
    
    
    
    VERTEX OVERLAP: 3 other vertice(s) coincide with basepoint.
    DEGENERATE EDGES: 1 edge(s) of length 0.
    
    
  • Example 3_5
    CC2_CLASS = 3, example 5:
    	Strut: [4, 3, 2, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 4], [2, 3]].
    	Cable 1: [1, 4, 2, 3, 6, 5]. 	 Disjoint cycle form:  [[2, 4, 3], [5, 6]].
    	Cable 2: [2, 1, 4, 3, 5, 6]. 	 Disjoint cycle form:  [[1, 2], [3, 4]].
    Smallest equilibrium strut stress w1_min is .574609 occurring in representation dim3.
    
    
    
    VERTEX OVERLAP: 1 other vertice(s) coincide with basepoint.
    
    
    
  • Example 3_6
    CC2_CLASS = 3, example 6:
    	Strut: [3, 2, 4, 1, 5, 6]. 	 Disjoint cycle form:  [[1, 3, 4]].
    	Cable 1: [1, 4, 2, 3, 6, 5]. 	 Disjoint cycle form:  [[2, 4, 3], [5, 6]].
    	Cable 2: [2, 1, 4, 3, 5, 6]. 	 Disjoint cycle form:  [[1, 2], [3, 4]].
    Smallest equilibrium strut stress w1_min is .333333 occurring in representation dim3.
    POSSIBLE TIE involving representations: [dim3, dim1ar, dim1br]
    
    
    
    VERTEX OVERLAP: 1 other vertice(s) coincide with basepoint.
    
    
    
  • Example 3_7
    CC2_CLASS = 3, example 7:
    	Strut: [3, 4, 1, 2, 6, 5]. 	 Disjoint cycle form:  [[1, 3], [2, 4], [5, 6]].
    	Cable 1: [1, 4, 2, 3, 6, 5]. 	 Disjoint cycle form:  [[2, 4, 3], [5, 6]].
    	Cable 2: [2, 1, 4, 3, 5, 6]. 	 Disjoint cycle form:  [[1, 2], [3, 4]].
    Smallest equilibrium strut stress w1_min is .5 occurring in representation dim1ar.
    POSSIBLE TIE involving representations: [dim1ar, dim1br]
    
    
    
    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: [1, 4, 2, 3, 6, 5]. 	 Disjoint cycle form:  [[2, 4, 3], [5, 6]].
    	Cable 2: [2, 1, 4, 3, 5, 6]. 	 Disjoint cycle form:  [[1, 2], [3, 4]].
    Smallest equilibrium strut stress w1_min is .333333 occurring in representation dim1ar.
    POSSIBLE TIE involving representations: [dim1ar, dim1br]
    
    
    
    VERTEX OVERLAP: 3 other vertice(s) coincide with basepoint.
    DEGENERATE EDGES: 1 edge(s) of length 0.
    
    
  • Example 3_9
    CC2_CLASS = 3, example 9:
    	Strut: [4, 2, 1, 3, 6, 5]. 	 Disjoint cycle form:  [[1, 4, 3], [5, 6]].
    	Cable 1: [1, 4, 2, 3, 6, 5]. 	 Disjoint cycle form:  [[2, 4, 3], [5, 6]].
    	Cable 2: [2, 1, 4, 3, 5, 6]. 	 Disjoint cycle form:  [[1, 2], [3, 4]].
    Smallest equilibrium strut stress w1_min is .333333 occurring in representation dim3.
    
    
    
    VERTEX OVERLAP: 1 other vertice(s) coincide with basepoint.