Conjugacy Class 4 of Group A4Z2

Cable 1:[1, 3, 4, 2, 6, 5].
Orders of Disjoint Cycles: [3, 2].
Cable 2:[2, 1, 4, 3, 6, 5].
Orders of Disjoint Cycles: [2, 2, 2].
  • Example 4_1
    CC2_CLASS = 4, example 1:
    	Strut: [2, 3, 1, 4, 6, 5]. 	 Orders of disjoint cycles:  [3, 2].
    	Cable 1: [1, 3, 4, 2, 6, 5]. 	 Orders of disjoint cycles:  [3, 2].
    	Cable 2: [2, 1, 4, 3, 6, 5]. 	 Orders of disjoint cycles:  [2, 2, 2].
    Smallest positive root is .309179 occurring in representation dim3r.
    
    
    dim3:	Min pos near root is .404563. Sturm finds 0 root(s).
    	Eigenvalues are [.244518236, 3.137123504, 4.763283480].
    dim1a:	Min pos near root is .999966. Sturm finds 0 root(s).
    	Eigenvalues are [2.072462608].
    dim1b:	Min pos near root is .999966. Sturm finds 0 root(s).
    	Eigenvalues are [2.072462608].
    dim3r:	Min pos near root is .309175. Sturm finds 1 root(s).
    	Eigenvalues are [.2331033280e-8, 1.626159975, 4.518765244].
    dim1ar:	Min pos near root is 2.9999. Sturm finds 0 root(s).
    	Eigenvalues are [2.690820869].
    dim1br:	Min pos near root is 2.9999. Sturm finds 0 root(s).
    	Eigenvalues are [2.690820869].
    Near null vector is [-.1628950361, -.6344935163, .7555681207].
    Near null vector is [-.1628950361, -.6344935163, .7555681207].
    Hopefully small check value is 1e-10.
    
  • Example 4_2
    CC2_CLASS = 4, example 2:
    	Strut: [2, 3, 1, 4, 5, 6]. 	 Orders of disjoint cycles:  [3].
    	Cable 1: [1, 3, 4, 2, 6, 5]. 	 Orders of disjoint cycles:  [3, 2].
    	Cable 2: [2, 1, 4, 3, 6, 5]. 	 Orders of disjoint cycles:  [2, 2, 2].
    Smallest positive root is .404566 occurring in representation dim3.
    
    
    dim3:	Min pos near root is .404563. Sturm finds 1 root(s).
    	Eigenvalues are [0, 2.861744938, 4.710854357].
    dim1a:	Min pos near root is .999966. Sturm finds 0 root(s).
    	Eigenvalues are [1.786299648].
    dim1b:	Min pos near root is .999966. Sturm finds 0 root(s).
    	Eigenvalues are [1.786299648].
    dim3r:	Min pos near root is .555543. Sturm finds 0 root(s).
    	Eigenvalues are [.3647698653, 1.072913064, 4.134916371].
    dim1ar:	Min pos near root is .999966. Sturm finds 0 root(s).
    	Eigenvalues are [1.786299648].
    dim1br:	Min pos near root is .999966. Sturm finds 0 root(s).
    	Eigenvalues are [1.786299648].
    Near null vector is [.7803242171, .3681411942, .5055355352].
    Near null vector is [.7803242171, .3681411942, .5055355352].
    Hopefully small check value is 1e-10.
    
  • Example 4_3
    CC2_CLASS = 4, example 3:
    	Strut: [1, 2, 3, 4, 6, 5]. 	 Orders of disjoint cycles:  [2].
    	Cable 1: [1, 3, 4, 2, 6, 5]. 	 Orders of disjoint cycles:  [3, 2].
    	Cable 2: [2, 1, 4, 3, 6, 5]. 	 Orders of disjoint cycles:  [2, 2, 2].
    Smallest positive root is .5 occurring in representation dim3r.
    
    
    dim3:	No positive root found.
    	Eigenvalues are [1.000000000, 4.000000000, 4.999999998].
    dim1a:	No positive root found.
    	Eigenvalues are [3.].
    dim1b:	No positive root found.
    	Eigenvalues are [3.].
    dim3r:	Min pos near root is .499987. Sturm finds 1 root(s).
    	Eigenvalues are [.1999838955e-8, 1.000000001, 3.999999999].
    dim1ar:	Min pos near root is 1.49995. Sturm finds 0 root(s).
    	Eigenvalues are [2.].
    dim1br:	Min pos near root is 1.49995. Sturm finds 0 root(s).
    	Eigenvalues are [2.].
    Near null vector is [0, -.7071067812, .7071067812].
    Near null vector is [0, -.7071067812, .7071067812].
    Hopefully small check value is 0.
    
  • Example 4_4
    CC2_CLASS = 4, example 4:
    	Strut: [2, 1, 4, 3, 5, 6]. 	 Orders of disjoint cycles:  [2, 2].
    	Cable 1: [1, 3, 4, 2, 6, 5]. 	 Orders of disjoint cycles:  [3, 2].
    	Cable 2: [2, 1, 4, 3, 6, 5]. 	 Orders of disjoint cycles:  [2, 2, 2].
    Smallest positive root is .5 occurring in representation dim3r.
    
    
    dim3:	Min pos near root is .999991. Sturm finds 0 root(s).
    	Eigenvalues are [.585786440, 3.414213562, 4.000000002].
    dim1a:	No positive root found.
    	Eigenvalues are [3.].
    dim1b:	No positive root found.
    	Eigenvalues are [3.].
    dim3r:	Min pos near root is .499991. Sturm finds 1 root(s).
    	Eigenvalues are [.37339632e-9, 1.267949192, 4.732050807].
    dim1ar:	No positive root found.
    	Eigenvalues are [3.].
    dim1br:	No positive root found.
    	Eigenvalues are [3.].
    Near null vector is [.5233641529e-16, .7071067812, -.7071067812].
    Near null vector is [.5233641529e-16, .7071067812, -.7071067812].
    Hopefully small check value is 0.
    
  • Example 4_5
    CC2_CLASS = 4, example 5:
    	Strut: [4, 3, 2, 1, 5, 6]. 	 Orders of disjoint cycles:  [2, 2].
    	Cable 1: [1, 3, 4, 2, 6, 5]. 	 Orders of disjoint cycles:  [3, 2].
    	Cable 2: [2, 1, 4, 3, 6, 5]. 	 Orders of disjoint cycles:  [2, 2, 2].
    Smallest positive root is .574609 occurring in representation dim3.
    
    
    dim3:	Min pos near root is .574605. Sturm finds 1 root(s).
    	Eigenvalues are [.4e-8, 3.078203707, 4.623358409].
    dim1a:	No positive root found.
    	Eigenvalues are [3.].
    dim1b:	No positive root found.
    	Eigenvalues are [3.].
    dim3r:	Min pos near root is .690971. Sturm finds 0 root(s).
    	Eigenvalues are [.2007672551, 1.393728437, 4.107066423].
    dim1ar:	No positive root found.
    	Eigenvalues are [3.].
    dim1br:	No positive root found.
    	Eigenvalues are [3.].
    Near null vector is [-.8549770023, -.4109231914, -.3164750484].
    Near null vector is [-.8549770023, -.4109231914, -.3164750484].
    Hopefully small check value is 4e-10.
    
  • Example 4_6
    CC2_CLASS = 4, example 6:
    	Strut: [3, 2, 4, 1, 5, 6]. 	 Orders of disjoint cycles:  [3].
    	Cable 1: [1, 3, 4, 2, 6, 5]. 	 Orders of disjoint cycles:  [3, 2].
    	Cable 2: [2, 1, 4, 3, 6, 5]. 	 Orders of disjoint cycles:  [2, 2, 2].
    Smallest positive root is .333333 occurring in representation dim3.
    POSSIBLE TIE
    
    dim3:	Min pos near root is .333331. Sturm finds 1 root(s).
    	Eigenvalues are [.2e-8, 3.999999999, 4.000000002].
    dim1a:	Min pos near root is .999966. Sturm finds 0 root(s).
    	Eigenvalues are [2.000000000].
    dim1b:	Min pos near root is .999966. Sturm finds 0 root(s).
    	Eigenvalues are [2.000000000].
    dim3r:	Min pos near root is .333329. Sturm finds 1 root(s).
    	Eigenvalues are [0, 1.999999998, 4.000000002].
    dim1ar:	Min pos near root is .999966. Sturm finds 0 root(s).
    	Eigenvalues are [2.000000000].
    dim1br:	Min pos near root is .999966. Sturm finds 0 root(s).
    	Eigenvalues are [2.000000000].
    Near null vector is [-.8164965809, -.4082482904, -.4082482904].
    Near null vector is [-.8164965809, -.4082482904, -.4082482904].
    Hopefully small check value is 6e-10.
    
  • Example 4_7
    CC2_CLASS = 4, example 7:
    	Strut: [3, 4, 1, 2, 6, 5]. 	 Orders of disjoint cycles:  [2, 2, 2].
    	Cable 1: [1, 3, 4, 2, 6, 5]. 	 Orders of disjoint cycles:  [3, 2].
    	Cable 2: [2, 1, 4, 3, 6, 5]. 	 Orders of disjoint cycles:  [2, 2, 2].
    Smallest positive root is .574609 occurring in representation dim3.
    
    
    dim3:	Min pos near root is .574605. Sturm finds 1 root(s).
    	Eigenvalues are [0, 3.078203710, 4.623358408].
    dim1a:	No positive root found.
    	Eigenvalues are [3.].
    dim1b:	No positive root found.
    	Eigenvalues are [3.].
    dim3r:	Min pos near root is .714278. Sturm finds 0 root(s).
    	Eigenvalues are [.2274226513, 1.772577353, 4.850781060].
    dim1ar:	Min pos near root is 1.49995. Sturm finds 0 root(s).
    	Eigenvalues are [1.850781059].
    dim1br:	Min pos near root is 1.49995. Sturm finds 0 root(s).
    	Eigenvalues are [1.850781059].
    Near null vector is [-.8549770023, -.3164750484, -.4109231914].
    Near null vector is [-.8549770023, -.3164750484, -.4109231914].
    Hopefully small check value is 4e-10.
    
  • Example 4_8
    CC2_CLASS = 4, example 8:
    	Strut: [1, 4, 2, 3, 5, 6]. 	 Orders of disjoint cycles:  [3].
    	Cable 1: [1, 3, 4, 2, 6, 5]. 	 Orders of disjoint cycles:  [3, 2].
    	Cable 2: [2, 1, 4, 3, 6, 5]. 	 Orders of disjoint cycles:  [2, 2, 2].
    Smallest positive root is .333333 occurring in representation dim3r.
    
    
    dim3:	Min pos near root is .999987. Sturm finds 0 root(s).
    	Eigenvalues are [.845299463, 3.154700541, 4.000000004].
    dim1a:	Min pos near root is .999966. Sturm finds 0 root(s).
    	Eigenvalues are [2.000000000].
    dim1b:	Min pos near root is .999966. Sturm finds 0 root(s).
    	Eigenvalues are [2.000000000].
    dim3r:	Min pos near root is .333327. Sturm finds 1 root(s).
    	Eigenvalues are [-.1000099996e-8, 1.085145784, 4.914854213].
    dim1ar:	Min pos near root is .999966. Sturm finds 0 root(s).
    	Eigenvalues are [2.000000000].
    dim1br:	Min pos near root is .999966. Sturm finds 0 root(s).
    	Eigenvalues are [2.000000000].
    Near null vector is [-.8696925977e-16, -.7071067812, .7071067812].
    Near null vector is [-.8696925977e-16, -.7071067812, .7071067812].
    Hopefully small check value is 0.
    
  • Example 4_9
    CC2_CLASS = 4, example 9:
    	Strut: [3, 2, 4, 1, 6, 5]. 	 Orders of disjoint cycles:  [3, 2].
    	Cable 1: [1, 3, 4, 2, 6, 5]. 	 Orders of disjoint cycles:  [3, 2].
    	Cable 2: [2, 1, 4, 3, 6, 5]. 	 Orders of disjoint cycles:  [2, 2, 2].
    Smallest positive root is .333333 occurring in representation dim3.
    
    
    dim3:	Min pos near root is .333331. Sturm finds 1 root(s).
    	Eigenvalues are [.2e-8, 3.999999999, 4.000000002].
    dim1a:	Min pos near root is .999966. Sturm finds 0 root(s).
    	Eigenvalues are [2.000000000].
    dim1b:	Min pos near root is .999966. Sturm finds 0 root(s).
    	Eigenvalues are [2.000000000].
    dim3r:	Min pos near root is .499988. Sturm finds 0 root(s).
    	Eigenvalues are [.6666666669, .6666666691, 4.666666669].
    dim1ar:	Min pos near root is 2.9999. Sturm finds 0 root(s).
    	Eigenvalues are [2.666666667].
    dim1br:	Min pos near root is 2.9999. Sturm finds 0 root(s).
    	Eigenvalues are [2.666666667].
    Near null vector is [-.8164965809, -.4082482904, -.4082482904].
    Near null vector is [-.8164965809, -.4082482904, -.4082482904].
    Hopefully small check value is 6e-10.