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: 7, 15, 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.

7.24-9.0.4-6-12.3.1

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