Properties

Label 15.31-1.0.31-31-31.126
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: $15, 22, 28$

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.

15.31-1.0.31-31-31.126.1

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