Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(\SL(2,3):C_2\)
Signature \([ 0; 3, 12, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $\SL(2,3):C_2$
Group identifier: [48,33]
Signature: $[ 0; 3, 12, 12 ]$
Conjugacy classes for this refined passport: 4, 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:$E\times E\times A_{2}^{2}\times A_{2}^{2}\times E^{3}$
Corresponding character(s): 3, 4, 7, 9, 13

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.48-33.0.3-12-12.1.1

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