Properties

Label 15.31-1.0.31-31-31.122
Genus \(15\)
Quotient genus \(0\)
Group \(C_{31}\)
Signature \([ 0; 31, 31, 31 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $15$
Quotient genus: $0$
Group name: $C_{31}$
Group identifier: $[31,1]$
Signature: $[ 0; 31, 31, 31 ]$
Conjugacy classes for this refined passport: $14, 25, 26$

Jacobian variety group algebra decomposition:$A_{15}$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.31-1.0.31-31-31.122.1

  (1,14,27,9,22,4,17,30,12,25,7,20,2,15,28,10,23,5,18,31,13,26,8,21,3,16,29,11,24,6,19)
  (1,25,18,11,4,28,21,14,7,31,24,17,10,3,27,20,13,6,30,23,16,9,2,26,19,12,5,29,22,15,8)
  (1,26,20,14,8,2,27,21,15,9,3,28,22,16,10,4,29,23,17,11,5,30,24,18,12,6,31,25,19,13,7)