Properties

Label 15.31-1.0.31-31-31.121
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: $14, 24, 27$

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.

15.31-1.0.31-31-31.121.1

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