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: 6, 7, 23

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.

12.25-1.0.25-25-25.2.1

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