Properties

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

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Family Information

Genus: 12
Isomorphism class: $C_{25}$
GAP/Magma notation: [25,1]
Signature: $[ 0; 25, 25, 25 ]$
Conjugacy classes for this refined passport: 9, 11, 17

Jacobian variety 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.

12.25-1.0.25-25-25.24.1

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