# Properties

 Genus $$12$$ Quotient Genus $$0$$ Group $$C_{12}$$ Signature $$[ 0; 2, 2, 3, 3, 4, 4 ]$$ Generating Vectors $$1$$

# Related objects

## Family Information

 Genus: 12 Quotient Genus: 0 Group name: $C_{12}$ Group identifier: [12,2] Signature: $[ 0; 2, 2, 3, 3, 4, 4 ]$
 Conjugacy classes for this refined passport: 2, 2, 3, 4, 5, 6

 Jacobian variety group algebra decomposition: $A_{2}\times A_{8}\times A_{2}$ Corresponding character(s): 2, 6, 7

## Other Data

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

## Generating Vector(s)

Displaying the unique generating vector for this refined passport.

12.12-2.0.2-2-3-3-4-4.1.1

 (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (1,3,5) (2,4,6) (7,9,11) (8,10,12) (1,5,3) (2,6,4) (7,11,9) (8,12,10) (1,7,2,8) (3,9,4,10) (5,11,6,12) (1,8,2,7) (3,10,4,9) (5,12,6,11)