Kernel 1)
 
Number of rigid and free actions:  16 
 
Number of special cohomology classes:  16 
 
Size of the normalizer:  3888 
 
Number of biholomorphism classes:  1 
 
Actions [H,K]: 
[
[
[zeta_12^2 - 1 0 0 0 0]
[0 1 0 0 1/3*(2*zeta_12^2 - 1)]
[0 0 -zeta_12^2 0 1/3*(2*zeta_12^2 - 1)]
[0 0 0 zeta_12^2 - 1 1/3*(2*zeta_12^2 - 1)]
[0 0 0 0 1],

[1 0 0 0 1/3*(2*zeta_12^2 - 1)]
[0 zeta_12^2 - 1 0 0 0]
[0 0 zeta_12^2 - 1 0 0]
[0 0 0 zeta_12^2 - 1 0]
[0 0 0 0 1]
]
] 
 
 
 
Kernel 2)
 
Number of rigid and free actions:  72 
 
Number of special cohomology classes:  8 
 
Size of the normalizer:  648 
 
Number of biholomorphism classes:  1 
 
Actions [H,K]: 
[
[
[zeta_12^2 - 1 0 0 0 0]
[0 1 0 0 1/3*(zeta_12^2 + 1)]
[0 0 -zeta_12^2 0 2/3*zeta_12^2]
[0 0 0 zeta_12^2 - 1 2/3*zeta_12^2]
[0 0 0 0 1],

[1 0 0 0 1/3*(zeta_12^2 + 1)]
[0 zeta_12^2 - 1 0 0 0]
[0 0 zeta_12^2 - 1 0 0]
[0 0 0 zeta_12^2 - 1 0]
[0 0 0 0 1]
]
] 
 
 
 
Kernel 3)
 
Number of rigid and free actions:  108 
 
Number of special cohomology classes:  12 
 
Size of the normalizer:  972 
 
Number of biholomorphism classes:  1 
 
Actions [H,K]: 
[
[
[zeta_12^2 - 1 0 0 0 0]
[0 1 0 0 1/3*(zeta_12^2 - 1)]
[0 0 -zeta_12^2 0 2/3*zeta_12^2]
[0 0 0 zeta_12^2 - 1 1/3*(zeta_12^2 - 1)]
[0 0 0 0 1],

[1 0 0 0 1/3*(2*zeta_12^2 - 1)]
[0 zeta_12^2 - 1 0 0 0]
[0 0 zeta_12^2 - 1 0 0]
[0 0 0 zeta_12^2 - 1 0]
[0 0 0 0 1]
]
] 
 
 
 
Kernel 4)
 
Number of rigid and free actions:  72 
 
Number of special cohomology classes:  8 
 
Size of the normalizer:  648 
 
Number of biholomorphism classes:  1 
 
Actions [H,K]: 
[
[
[zeta_12^2 - 1 0 0 0 0]
[0 1 0 0 1/3*(2*zeta_12^2 - 1)]
[0 0 -zeta_12^2 0 1/3*(zeta_12^2 + 1)]
[0 0 0 zeta_12^2 - 1 1/3*(2*zeta_12^2 - 2)]
[0 0 0 0 1],

[            1             0             0             0       1/3]
[            0 zeta_12^2 - 1             0             0             0]
[            0             0 zeta_12^2 - 1             0             0]
[            0             0             0 zeta_12^2 - 1             0]
[            0             0             0             0             1]
]
] 
 
 
 
Kernel 5)
 
Number of rigid and free actions:  108 
 
Number of special cohomology classes:  12 
 
Size of the normalizer:  324 
 
Number of biholomorphism classes:  1 
 
Actions [H,K]: 
[
[
[zeta_12^2 - 1 0 0 0 0]
[0 1 0 0 1/3*(2*zeta_12^2 - 1)]
[0 0 -zeta_12^2 0 1/3*(zeta_12^2 - 1)]
[0 0 0 zeta_12^2 - 1 1/3*(zeta_12^2 - 1)]
[0 0 0 0 1],

[1 0 0 0 1/3*zeta_12^2]
[0 zeta_12^2 - 1 0 0 0]
[0 0 zeta_12^2 - 1 0 0]
[0 0 0 zeta_12^2 - 1 0]
[0 0 0 0 1]
]
] 
 
 
 
Kernel 6)
 
Number of rigid and free actions:  162 
 
Number of special cohomology classes:  18 
 
Size of the normalizer:  486 
 
Number of biholomorphism classes:  1 
 
Actions [H,K]: 
[
[
[zeta_12^2 - 1 0 0 0 0]
[0 1 0 0 1/3*zeta_12^2]
[0 0 -zeta_12^2 0 1/3*(2*zeta_12^2 - 2)]
[0 0 0 zeta_12^2 - 1 2/3]
[0 0 0 0 1],

[1 0 0 0 2/3*zeta_12^2]
[0 zeta_12^2 - 1 0 0 0]
[0 0 zeta_12^2 - 1 0 0]
[0 0 0 zeta_12^2 - 1 0]
[0 0 0 0 1]
]
] 
 
 
 
Kernel 7)
 
Number of rigid and free actions:  108 
 
Number of special cohomology classes:  4 
 
Size of the normalizer:  972 
 
Number of biholomorphism classes:  1 
 
Actions [H,K]: 
[
[
[zeta_12^2 - 1 0 0 0 0]
[0 1 0 0 1/3]
[0 0 -zeta_12^2 0 1/3]
[0 0 0 zeta_12^2 - 1 2/3*zeta_12^2]
[0 0 0 0 1],

[1 0 0 0 1/3*(zeta_12^2 + 1)]
[0 zeta_12^2 - 1 0 0 0]
[0 0 zeta_12^2 - 1 0 0]
[0 0 0 zeta_12^2 - 1 0]
[0 0 0 0 1]
]
] 
 
 
 
Kernel 8)
 
Number of rigid and free actions:  108 
 
Number of special cohomology classes:  4 
 
Size of the normalizer:  324 
 
Number of biholomorphism classes:  1 
 
Actions [H,K]: 
[
[
[zeta_12^2 - 1 0 0 0 0]
[0 1 0 0 1/3*(zeta_12^2 + 1)]
[0 0 -zeta_12^2 0 2/3]
[0 0 0 zeta_12^2 - 1 1/3*(zeta_12^2 - 1)]
[0 0 0 0 1],

[            1             0             0             0       1/3]
[            0 zeta_12^2 - 1             0             0             0]
[            0             0 zeta_12^2 - 1             0             0]
[            0             0             0 zeta_12^2 - 1             0]
[            0             0             0             0             1]
]
] 
 
 
 
Kernel 9)
 
Number of rigid and free actions:  324 
 
Number of special cohomology classes:  4 
 
Size of the normalizer:  324 
 
Number of biholomorphism classes:  1 
 
Actions [H,K]: 
[
[
[zeta_12^2 - 1 0 0 0 0]
[0 1 0 0 1/3*(2*zeta_12^2 - 2)]
[0 0 -zeta_12^2 0 2/3]
[0 0 0 zeta_12^2 - 1 1/3*(2*zeta_12^2 - 2)]
[0 0 0 0 1],

[1 0 0 0 2/3*zeta_12^2]
[0 zeta_12^2 - 1 0 0 0]
[0 0 zeta_12^2 - 1 0 0]
[0 0 0 zeta_12^2 - 1 0]
[0 0 0 0 1]
]
] 
 
 
 
Kernel 10)
 
Number of rigid and free actions:  162 
 
Number of special cohomology classes:  2 
 
Size of the normalizer:  162 
 
Number of biholomorphism classes:  1 
 
Actions [H,K]: 
[
[
[zeta_12^2 - 1 0 0 0 0]
[0 1 0 0 1/3*(zeta_12^2 - 1)]
[0 0 -zeta_12^2 0 1/3*(zeta_12^2 - 1)]
[0 0 0 zeta_12^2 - 1 1/3*(2*zeta_12^2 - 2)]
[0 0 0 0 1],

[1 0 0 0 1/3*zeta_12^2]
[0 zeta_12^2 - 1 0 0 0]
[0 0 zeta_12^2 - 1 0 0]
[0 0 0 zeta_12^2 - 1 0]
[0 0 0 0 1]
]
] 
 
 
 
Kernel 11)
 
Number of rigid and free actions:  162 
 
Number of special cohomology classes:  2 
 
Size of the normalizer:  162 
 
Number of biholomorphism classes:  1 
 
Actions [H,K]: 
[
[
[zeta_12^2 - 1 0 0 0 0]
[0 1 0 0 1/3*(zeta_12^2 - 1)]
[0 0 -zeta_12^2 0 1/3*(zeta_12^2 - 1)]
[0 0 0 zeta_12^2 - 1 1/3*(2*zeta_12^2 - 2)]
[0 0 0 0 1],

[1 0 0 0 1/3*zeta_12^2]
[0 zeta_12^2 - 1 0 0 0]
[0 0 zeta_12^2 - 1 0 0]
[0 0 0 zeta_12^2 - 1 0]
[0 0 0 0 1]
]
] 
 
 
 
Kernel 12)
 
Number of rigid and free actions:  486 
 
Number of special cohomology classes:  6 
 
Size of the normalizer:  486 
 
Number of biholomorphism classes:  1 
 
Actions [H,K]: 
[
[
[zeta_12^2 - 1 0 0 0 0]
[0 1 0 0 2/3*zeta_12^2]
[0 0 -zeta_12^2 0 2/3*zeta_12^2]
[0 0 0 zeta_12^2 - 1 2/3]
[0 0 0 0 1],

[1 0 0 0 1/3*(zeta_12^2 - 1)]
[0 zeta_12^2 - 1 0 0 0]
[0 0 zeta_12^2 - 1 0 0]
[0 0 0 zeta_12^2 - 1 0]
[0 0 0 0 1]
]
] 
 
 
 
Kernel 13)
 
Number of rigid and free actions:  0 
 
Number of special cohomology classes:  0 
 
Size of the normalizer:  486 
 
Number of biholomorphism classes:  0 
 
Actions [H,K]: 
[]