Properties

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

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Family Information

Genus: 7
Group name: $C_2\times C_{12}$
Group identifier: [24,9]
Signature: $[ 0; 4, 6, 12 ]$
Conjugacy classes for this refined passport: 8, 14, 21

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.

7.24-9.0.4-6-12.6.1

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