Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(C_3\times C_3:C_4\)
Signature \([ 0; 3, 4, 12 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 7
Quotient Genus: 0
Group name: $C_3\times C_3:C_4$
Group identifier: [36,6]
Signature: $[ 0; 3, 4, 12 ]$
Conjugacy classes for this refined passport: 6, 8, 18

The full automorphism group for this family is $\SL(2,3):S_3$ with signature $[ 0; 2, 3, 12 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}\times A_{2}\times E^{2}$
Corresponding character(s): 3, 9, 14, 15

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.36-6.0.3-4-12.1.1

  (1,8,15) (2,9,13) (3,7,14) (4,11,18) (5,12,16) (6,10,17) (19,26,33) (20,27,31) (21,25,32) (22,29,36) (23,30,34) (24,28,35)
  (1,19,4,22) (2,21,5,24) (3,20,6,23) (7,25,10,28) (8,27,11,30) (9,26,12,29) (13,31,16,34) (14,33,17,36) (15,32,18,35)
  (1,36,10,21,13,30,4,33,7,24,16,27) (2,35,11,20,14,29,5,32,8,23,17,26) (3,34,12,19,15,28,6,31,9,22,18,25)