Properties

Label 15.31-1.0.31-31-31.127
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: $15, 23, 27$

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.

15.31-1.0.31-31-31.127.1

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