Properties

Genus \(12\)
Small Group \(C_{25}\)
Signature \([ 0; 25, 25, 25 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 12
Isomorphism class: $C_{25}$
GAP/Magma notation: [25,1]
Signature: $[ 0; 25, 25, 25 ]$
Conjugacy classes for this refined passport: 7, 9, 21

Jacobian variety (partial) decomposition:$A_{10}\times A_{2}$
Corresponding character(s): 2, 6

Other Data

Dimension of the corresponding Shimura variety:0
Hyperelliptic curve(s):No
Cyclic trigonal curve(s):No

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

12.25-1.0.25-25-25.10.1

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