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, 11, 18

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.

12.25-1.0.25-25-25.12.1

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