Properties

Label 15.31-1.0.31-31-31.98
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: $10, 26, 29$

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.

15.31-1.0.31-31-31.98.1

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