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: 9, 12, 14

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.

7.32-11.0.4-4-8.2.1

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