Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(C_2\times C_3:C_8\)
Signature \([ 0; 6, 8, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_2\times C_3:C_8$
Group identifier: [48,9]
Signature: $[ 0; 6, 8, 8 ]$
Conjugacy classes for this refined passport: 11, 13, 20

The full automorphism group for this family is $C_3:(D_4:C_4)$ with signature $[ 0; 2, 8, 12 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}\times A_{2}\times A_{2}\times A_{2}^{2}\times A_{2}^{2}$
Corresponding character(s): 5, 9, 17, 20, 21, 23

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.48-9.0.6-8-8.1.1

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