Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(C_4\wr C_2\)
Signature \([ 0; 4, 4, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 7
Quotient Genus: 0
Group name: $C_4\wr C_2$
Group identifier: [32,11]
Signature: $[ 0; 4, 4, 8 ]$
Conjugacy classes for this refined passport: 8, 12, 13

Jacobian variety group algebra decomposition:$E\times A_{2}^{2}\times E^{2}$
Corresponding character(s): 5, 11, 12

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):No

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.32-11.0.4-4-8.1.1

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