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: 7, 14, 23

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.

7.24-9.0.4-6-12.2.1

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