Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(C_2\times C_{16}\)
Signature \([ 0; 2, 16, 16 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 7
Quotient Genus: 0
Group name: $C_2\times C_{16}$
Group identifier: [32,16]
Signature: $[ 0; 2, 16, 16 ]$
Conjugacy classes for this refined passport: 3, 17, 32

The full automorphism group for this family is $C_2^2.D_8$ with signature $[ 0; 2, 4, 16 ]$.

Jacobian variety group algebra decomposition:$A_{4}\times A_{2}\times E$
Corresponding character(s): 4, 6, 10

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.32-16.0.2-16-16.1.1

  (1,9) (2,10) (3,11) (4,12) (5,13) (6,14) (7,15) (8,16) (17,25) (18,26) (19,27) (20,28) (21,29) (22,30) (23,31) (24,32)
  (1,17,5,21,3,19,7,23,2,18,6,22,4,20,8,24) (9,25,13,29,11,27,15,31,10,26,14,30,12,28,16,32)
  (1,32,8,28,4,30,6,26,2,31,7,27,3,29,5,25) (9,24,16,20,12,22,14,18,10,23,15,19,11,21,13,17)