Properties

 Label 5.8-5.0.2-2-2-2-2-2.10 Genus $$5$$ Quotient genus $$0$$ Group $$C_2^3$$ Signature $$[ 0; 2, 2, 2, 2, 2, 2 ]$$ Generating Vectors $$1$$

Related objects

Family Information

 Genus: $5$ Quotient genus: $0$ Group name: $C_2^3$ Group identifier: $[8,5]$ Signature: $[ 0; 2, 2, 2, 2, 2, 2 ]$
 Conjugacy classes for this refined passport: $2, 2, 3, 4, 7, 8$

 Jacobian variety group algebra decomposition: $E\times E\times E\times E\times E$ Corresponding character(s): $2, 4, 6, 7, 8$

Other Data

 Hyperelliptic curve(s): no Cyclic trigonal curve(s): no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

5.8-5.0.2-2-2-2-2-2.10.1

 (1,2) (3,4) (5,6) (7,8) (1,2) (3,4) (5,6) (7,8) (1,3) (2,4) (5,7) (6,8) (1,4) (2,3) (5,8) (6,7) (1,7) (2,8) (3,5) (4,6) (1,8) (2,7) (3,6) (4,5)