Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(\GL(2,3)\)
Signature \([ 0; 6, 8, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $\GL(2,3)$
Group identifier: [48,29]
Signature: $[ 0; 6, 8, 8 ]$
Conjugacy classes for this refined passport: 6, 7, 8

The full automorphism group for this family is $\SL(2,3):C_2:C_2$ with signature $[ 0; 2, 8, 12 ]$.

Jacobian variety group algebra decomposition:$A_{2}^{2}\times E^{3}\times A_{2}^{4}$
Corresponding character(s): 4, 7, 8

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.48-29.0.6-8-8.1.1

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