Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(Q_8:C_4\)
Signature \([ 0; 4, 4, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 7
Quotient Genus: 0
Group name: $Q_8:C_4$
Group identifier: [32,10]
Signature: $[ 0; 4, 4, 8 ]$
Conjugacy classes for this refined passport: 7, 9, 12

Jacobian variety group algebra decomposition:$E\times E^{2}\times A_{4}$
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.

7.32-10.0.4-4-8.1.1

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