Conjugacy Class 4 of Group A5

Cable 1:[2, 3, 5, 1, 4].
Disjoint cycle form: [[1, 2, 3, 5, 4]].
Cable 2:[4, 2, 3, 5, 1].
Disjoint cycle form: [[1, 4, 5]].
  • Example 4_1
    CC2_CLASS = 4, example 1:
    	Strut: [2, 3, 1, 4, 5]. 	 Disjoint cycle form:  [[1, 2, 3]].
    	Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
    	Cable 2: [4, 2, 3, 5, 1]. 	 Disjoint cycle form:  [[1, 4, 5]].
    Smallest equilibrium strut stress w1_min is .556186 occurring in representation dim3a.
    
    
    
    
    
    
    
  • Example 4_2
    CC2_CLASS = 4, example 2:
    	Strut: [3, 4, 1, 2, 5]. 	 Disjoint cycle form:  [[1, 3], [2, 4]].
    	Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
    	Cable 2: [4, 2, 3, 5, 1]. 	 Disjoint cycle form:  [[1, 4, 5]].
    Smallest equilibrium strut stress w1_min is .735686 occurring in representation dim3b.
    
    
    
    
    
    
    
  • Example 4_3
    CC2_CLASS = 4, example 3:
    	Strut: [4, 3, 1, 5, 2]. 	 Disjoint cycle form:  [[1, 4, 5, 2, 3]].
    	Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
    	Cable 2: [4, 2, 3, 5, 1]. 	 Disjoint cycle form:  [[1, 4, 5]].
    Smallest equilibrium strut stress w1_min is .499999 occurring in representation dim3b.
    POSSIBLE TIE involving representations: [dim3a, dim3b, dim5]
    
    
    
    
    
    
    
  • Example 4_4
    CC2_CLASS = 4, example 4:
    	Strut: [3, 5, 1, 4, 2]. 	 Disjoint cycle form:  [[1, 3], [2, 5]].
    	Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
    	Cable 2: [4, 2, 3, 5, 1]. 	 Disjoint cycle form:  [[1, 4, 5]].
    Smallest equilibrium strut stress w1_min is .552786 occurring in representation dim3a.
    
    
    
    
    
    
    
  • Example 4_5
    CC2_CLASS = 4, example 5:
    	Strut: [4, 3, 2, 1, 5]. 	 Disjoint cycle form:  [[1, 4], [2, 3]].
    	Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
    	Cable 2: [4, 2, 3, 5, 1]. 	 Disjoint cycle form:  [[1, 4, 5]].
    Smallest equilibrium strut stress w1_min is .367102 occurring in representation dim3a.
    
    
    
    
    
    
    
  • Example 4_6
    CC2_CLASS = 4, example 6:
    	Strut: [4, 1, 5, 3, 2]. 	 Disjoint cycle form:  [[1, 4, 3, 5, 2]].
    	Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
    	Cable 2: [4, 2, 3, 5, 1]. 	 Disjoint cycle form:  [[1, 4, 5]].
    Smallest equilibrium strut stress w1_min is .361481 occurring in representation dim3b.
    
    
    
    
    
    
    
  • Example 4_7
    CC2_CLASS = 4, example 7:
    	Strut: [3, 2, 5, 4, 1]. 	 Disjoint cycle form:  [[1, 3, 5]].
    	Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
    	Cable 2: [4, 2, 3, 5, 1]. 	 Disjoint cycle form:  [[1, 4, 5]].
    Smallest equilibrium strut stress w1_min is .224729 occurring in representation dim3a.
    
    
    
    
    
    
    
  • Example 4_8
    CC2_CLASS = 4, example 8:
    	Strut: [3, 1, 4, 5, 2]. 	 Disjoint cycle form:  [[1, 3, 4, 5, 2]].
    	Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
    	Cable 2: [4, 2, 3, 5, 1]. 	 Disjoint cycle form:  [[1, 4, 5]].
    Smallest equilibrium strut stress w1_min is .208789 occurring in representation dim3a.
    
    
    
    
    
    
    
  • Example 4_9
    CC2_CLASS = 4, example 9:
    	Strut: [5, 1, 4, 2, 3]. 	 Disjoint cycle form:  [[1, 5, 3, 4, 2]].
    	Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
    	Cable 2: [4, 2, 3, 5, 1]. 	 Disjoint cycle form:  [[1, 4, 5]].
    Smallest equilibrium strut stress w1_min is .190983 occurring in representation dim3a.
    
    
    
    
    
    
    
  • Example 4_10
    CC2_CLASS = 4, example 10:
    	Strut: [1, 5, 3, 2, 4]. 	 Disjoint cycle form:  [[2, 5, 4]].
    	Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
    	Cable 2: [4, 2, 3, 5, 1]. 	 Disjoint cycle form:  [[1, 4, 5]].
    Smallest equilibrium strut stress w1_min is .239563 occurring in representation dim3a.
    
    
    
    
    
    
    
  • Example 4_11
    CC2_CLASS = 4, example 11:
    	Strut: [2, 1, 5, 4, 3]. 	 Disjoint cycle form:  [[1, 2], [3, 5]].
    	Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
    	Cable 2: [4, 2, 3, 5, 1]. 	 Disjoint cycle form:  [[1, 4, 5]].
    Smallest equilibrium strut stress w1_min is .666666 occurring in representation dim3b.
    POSSIBLE TIE involving representations: [dim3a, dim3b]
    
    
    
    
    
    
    
  • Example 4_12
    CC2_CLASS = 4, example 12:
    	Strut: [5, 2, 4, 3, 1]. 	 Disjoint cycle form:  [[1, 5], [3, 4]].
    	Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
    	Cable 2: [4, 2, 3, 5, 1]. 	 Disjoint cycle form:  [[1, 4, 5]].
    Smallest equilibrium strut stress w1_min is .712392 occurring in representation dim3a.
    
    
    
    
    
    
    
  • Example 4_13
    CC2_CLASS = 4, example 13:
    	Strut: [1, 2, 5, 3, 4]. 	 Disjoint cycle form:  [[3, 5, 4]].
    	Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
    	Cable 2: [4, 2, 3, 5, 1]. 	 Disjoint cycle form:  [[1, 4, 5]].
    Smallest equilibrium strut stress w1_min is .341095 occurring in representation dim3a.
    
    
    
    
    
    
    
  • Example 4_14
    CC2_CLASS = 4, example 14:
    	Strut: [2, 1, 4, 3, 5]. 	 Disjoint cycle form:  [[1, 2], [3, 4]].
    	Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
    	Cable 2: [4, 2, 3, 5, 1]. 	 Disjoint cycle form:  [[1, 4, 5]].
    Smallest equilibrium strut stress w1_min is .345160 occurring in representation dim3a.
    
    
    
    
    
    
    
  • Example 4_15
    CC2_CLASS = 4, example 15:
    	Strut: [3, 4, 2, 5, 1]. 	 Disjoint cycle form:  [[1, 3, 2, 4, 5]].
    	Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
    	Cable 2: [4, 2, 3, 5, 1]. 	 Disjoint cycle form:  [[1, 4, 5]].
    Smallest equilibrium strut stress w1_min is .290835 occurring in representation dim3a.
    
    
    
    
    
    
    
  • Example 4_16
    CC2_CLASS = 4, example 16:
    	Strut: [4, 5, 3, 1, 2]. 	 Disjoint cycle form:  [[1, 4], [2, 5]].
    	Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
    	Cable 2: [4, 2, 3, 5, 1]. 	 Disjoint cycle form:  [[1, 4, 5]].
    Smallest equilibrium strut stress w1_min is .360148 occurring in representation dim3a.
    
    
    
    
    
    
    
  • Example 4_17
    CC2_CLASS = 4, example 17:
    	Strut: [1, 3, 4, 2, 5]. 	 Disjoint cycle form:  [[2, 3, 4]].
    	Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
    	Cable 2: [4, 2, 3, 5, 1]. 	 Disjoint cycle form:  [[1, 4, 5]].
    Smallest equilibrium strut stress w1_min is .276393 occurring in representation dim3a.
    
    
    
    
    
    
    
  • Example 4_18
    CC2_CLASS = 4, example 18:
    	Strut: [2, 1, 3, 5, 4]. 	 Disjoint cycle form:  [[1, 2], [4, 5]].
    	Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
    	Cable 2: [4, 2, 3, 5, 1]. 	 Disjoint cycle form:  [[1, 4, 5]].
    Smallest equilibrium strut stress w1_min is .481335 occurring in representation dim3a.
    
    
    
    
    
    
    
  • Example 4_19
    CC2_CLASS = 4, example 19:
    	Strut: [5, 3, 2, 4, 1]. 	 Disjoint cycle form:  [[1, 5], [2, 3]].
    	Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
    	Cable 2: [4, 2, 3, 5, 1]. 	 Disjoint cycle form:  [[1, 4, 5]].
    Smallest equilibrium strut stress w1_min is .336404 occurring in representation dim3a.
    
    
    
    
    
    
    
  • Example 4_20
    CC2_CLASS = 4, example 20:
    	Strut: [4, 3, 5, 2, 1]. 	 Disjoint cycle form:  [[1, 4, 2, 3, 5]].
    	Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
    	Cable 2: [4, 2, 3, 5, 1]. 	 Disjoint cycle form:  [[1, 4, 5]].
    Smallest equilibrium strut stress w1_min is .546618 occurring in representation dim3a.
    
    
    
    
    
    
    
  • Example 4_21
    CC2_CLASS = 4, example 21:
    	Strut: [5, 4, 1, 3, 2]. 	 Disjoint cycle form:  [[1, 5, 2, 4, 3]].
    	Cable 1: [2, 3, 5, 1, 4]. 	 Disjoint cycle form:  [[1, 2, 3, 5, 4]].
    	Cable 2: [4, 2, 3, 5, 1]. 	 Disjoint cycle form:  [[1, 4, 5]].
    Smallest equilibrium strut stress w1_min is .381966 occurring in representation dim3b.
    
    
    
    VERTEX OVERLAP: 2 other vertice(s) coincide with basepoint.
    DEGENERATE EDGES: 1 edge(s) of length 0.