Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(C_3\times C_2^2:C_4\)
Signature \([ 0; 4, 6, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_3\times C_2^2:C_4$
Group identifier: [48,21]
Signature: $[ 0; 4, 6, 12 ]$
Conjugacy classes for this refined passport: 9, 19, 30

Jacobian variety group algebra decomposition:$E\times E\times E\times A_{2}\times A_{2}\times A_{2}^{2}\times E^{2}$
Corresponding character(s): 6, 9, 13, 17, 19, 27, 28

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):No

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.48-21.0.4-6-12.1.1

  (1,25,2,26) (3,27,4,28) (5,29,6,30) (7,31,8,32) (9,33,10,34) (11,35,12,36) (13,39,14,40) (15,37,16,38) (17,43,18,44) (19,41,20,42) (21,47,22,48) (23,45,24,46)
  (1,17,9,13,5,21) (2,18,10,14,6,22) (3,19,11,15,7,23) (4,20,12,16,8,24) (25,41,33,37,29,45) (26,42,34,38,30,46) (27,43,35,39,31,47) (28,44,36,40,32,48)
  (1,48,8,37,9,44,4,45,5,40,12,41) (2,47,7,38,10,43,3,46,6,39,11,42) (13,34,20,27,21,30,16,35,17,26,24,31) (14,33,19,28,22,29,15,36,18,25,23,32)