Properties

Label 15.31-1.0.31-31-31.78
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: $8, 10, 16$

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.

15.31-1.0.31-31-31.78.1

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