Properties

Label 15.31-1.0.31-31-31.125
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: $15, 21, 29$

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.

15.31-1.0.31-31-31.125.1

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