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: 9, 16, 17

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.

7.24-9.0.4-6-12.12.1

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