Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_3\times SD_{16}\)
Signature \([ 0; 2, 12, 24 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_3\times SD_{16}$
Group identifier: [48,26]
Signature: $[ 0; 2, 12, 24 ]$
Conjugacy classes for this refined passport: 3, 16, 19

The full automorphism group for this family is $C_3\times \GL(2,3)$ with signature $[ 0; 2, 3, 24 ]$.

Jacobian variety group algebra decomposition:$E\times E\times E^{2}\times E^{2}\times A_{2}^{2}$
Corresponding character(s): 5, 7, 14, 16, 18

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.48-26.0.2-12-24.1.1

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