# Properties

 Label 14.28-3.0.2-2-2-2-14.1 Genus $$14$$ Quotient genus $$0$$ Group $$D_{14}$$ Signature $$[ 0; 2, 2, 2, 2, 14 ]$$ Generating Vectors $$1$$

# Related objects

## Family Information

 Genus: $14$ Quotient genus: $0$ Group name: $D_{14}$ Group identifier: $[28,3]$ Signature: $[ 0; 2, 2, 2, 2, 14 ]$
 Conjugacy classes for this refined passport: $2, 2, 3, 4, 8$

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

## Other Data

 Hyperelliptic curve(s): yes Hyperelliptic involution: (1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14) (15,22) (16,23) (17,24) (18,25) (19,26) (20,27) (21,28) Cyclic trigonal curve(s): no

 Equation(s) of curve(s) in this refined passport:
 $y^2=x(x^{14}+a_{1}x^{7}+1)(x^{14}+a_{2}x^{7}+1)$

## Generating vector(s)

Displaying the unique generating vector for this refined passport.

14.28-3.0.2-2-2-2-14.1.1

 (1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14) (15,22) (16,23) (17,24) (18,25) (19,26) (20,27) (21,28) (1,8) (2,9) (3,10) (4,11) (5,12) (6,13) (7,14) (15,22) (16,23) (17,24) (18,25) (19,26) (20,27) (21,28) (1,15) (2,21) (3,20) (4,19) (5,18) (6,17) (7,16) (8,22) (9,28) (10,27) (11,26) (12,25) (13,24) (14,23) (1,28) (2,27) (3,26) (4,25) (5,24) (6,23) (7,22) (8,21) (9,20) (10,19) (11,18) (12,17) (13,16) (14,15) (1,9,3,11,5,13,7,8,2,10,4,12,6,14) (15,23,17,25,19,27,21,22,16,24,18,26,20,28)