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: 10, 15, 20

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.

7.24-9.0.4-6-12.15.1

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