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: 7, 10, 19

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.

12.25-1.0.25-25-25.11.1

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