Properties

Label 12.36-2.0.4-9-36.1
Genus \(12\)
Quotient genus \(0\)
Group \(C_{36}\)
Signature \([ 0; 4, 9, 36 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

Family Information

Genus: $12$
Quotient genus: $0$
Group name: $C_{36}$
Group identifier: $[36,2]$
Signature: $[ 0; 4, 9, 36 ]$
Conjugacy classes for this refined passport: $5, 9, 36$

Jacobian variety group algebra decomposition:$A_{6}\times A_{3}\times A_{2}\times E$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

12.36-2.0.4-9-36.1.1

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