Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_3\times C_3:C_4\)
Signature \([ 0; 4, 6, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_3\times C_3:C_4$
Group identifier: [36,6]
Signature: $[ 0; 4, 6, 12 ]$
Conjugacy classes for this refined passport: 8, 13, 16

Jacobian variety group algebra decomposition:$E\times E\times A_{2}\times A_{2}\times A_{2}^{2}$
Corresponding character(s): 3, 7, 9, 14, 17

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.36-6.0.4-6-12.1.1

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