Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(\SL(2,3):C_2\)
Signature \([ 0; 4, 12, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $\SL(2,3):C_2$
Group identifier: [48,33]
Signature: $[ 0; 4, 12, 12 ]$
Conjugacy classes for this refined passport: 8, 11, 12

The full automorphism group for this family is $(C_2.S_4):C_2$ with signature $[ 0; 2, 8, 12 ]$.

Jacobian variety group algebra decomposition:$A_{2}^{2}\times A_{4}^{2}\times E^{3}$
Corresponding character(s): 7, 9, 13

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.48-33.0.4-12-12.1.1

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