Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(D_9:C_3\)
Signature \([ 0; 2, 6, 9 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 7
Quotient Genus: 0
Group name: $D_9:C_3$
Group identifier: [54,6]
Signature: $[ 0; 2, 6, 9 ]$
Conjugacy classes for this refined passport: 2, 6, 10

Jacobian variety group algebra decomposition:$E\times E^{6}$
Corresponding character(s): 3, 10

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.54-6.0.2-6-9.1.1

  (1,28) (2,30) (3,29) (4,35) (5,34) (6,36) (7,32) (8,31) (9,33) (10,37) (11,39) (12,38) (13,44) (14,43) (15,45) (16,41) (17,40) (18,42) (19,46) (20,48) (21,47) (22,53) (23,52) (24,54) (25,50) (26,49) (27,51)
  (1,44,20,34,12,54) (2,43,21,36,10,53) (3,45,19,35,11,52) (4,40,22,31,13,49) (5,42,23,33,14,51) (6,41,24,32,15,50) (7,39,27,28,17,47) (8,38,25,30,18,46) (9,37,26,29,16,48)
  (1,24,16,3,23,18,2,22,17) (4,26,10,6,25,12,5,27,11) (7,21,14,9,20,13,8,19,15) (28,51,43,30,50,45,29,49,44) (31,53,37,33,52,39,32,54,38) (34,48,41,36,47,40,35,46,42)