Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(C_2\times C_{12}\)
Signature \([ 0; 4, 6, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 7
Quotient Genus: 0
Group name: $C_2\times C_{12}$
Group identifier: [24,9]
Signature: $[ 0; 4, 6, 12 ]$
Conjugacy classes for this refined passport: 8, 13, 22

Jacobian variety group algebra decomposition:$E\times E\times A_{2}\times A_{2}\times E$
Corresponding character(s): 3, 10, 11, 12, 13

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.24-9.0.4-6-12.5.1

  (1,14,2,13) (3,16,4,15) (5,18,6,17) (7,20,8,19) (9,22,10,21) (11,24,12,23)
  (1,9,5,7,3,11) (2,10,6,8,4,12) (13,21,17,19,15,23) (14,22,18,20,16,24)
  (1,23,4,20,5,21,2,24,3,19,6,22) (7,17,10,14,11,15,8,18,9,13,12,16)