Properties

 Genus $$5$$ Small Group $$OD_{16}$$ Signature $$[ 0; 4, 8, 8 ]$$ Generating Vectors $$1$$

Related objects

Family Information

 Genus: 5 Group name: $OD_{16}$ Group identifier: [16,6] Signature: $[ 0; 4, 8, 8 ]$ Conjugacy classes for this refined passport: 6, 8, 10

The full automorphism group for this family is $C_2wrC_4$ with signature $[ 0; 2, 4, 8 ]$.

 Jacobian variety group algebra decomposition: $E\times A_{2}^{2}$ Corresponding character(s): 5, 9

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.16-6.0.4-8-8.2.1

 (1,7,2,8) (3,6,4,5) (9,15,10,16) (11,14,12,13) (1,11,4,9,2,12,3,10) (5,16,8,14,6,15,7,13) (1,15,3,14,2,16,4,13) (5,12,7,9,6,11,8,10)