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: 10, 13, 18

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.

7.24-9.0.4-6-12.13.1

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