Properties

Label 15.31-1.0.31-31-31.114
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: $13, 24, 28$

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.

15.31-1.0.31-31-31.114.1

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