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, 14

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.

7.32-10.0.4-4-8.2.1

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