Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(C_2\times \SL(2,3)\)
Signature \([ 0; 6, 6, 6 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_2\times \SL(2,3)$
Group identifier: [48,32]
Signature: $[ 0; 6, 6, 6 ]$
Conjugacy classes for this refined passport: 9, 11, 11

The full automorphism group for this family is $C_2\times \SL(2,3):C_2$ with signature $[ 0; 2, 6, 12 ]$.

Jacobian variety group algebra decomposition:$E\times E\times A_{2}\times A_{2}\times A_{2}^{2}\times E^{3}$
Corresponding character(s): 3, 5, 7, 8, 10, 13

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.48-32.0.6-6-6.1.1

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