Properties

Label 15.31-1.0.31-31-31.68
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: $7, 9, 18$

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.

15.31-1.0.31-31-31.68.1

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