Properties

Label 6.30-1.0.2-10-15.1
Genus \(6\)
Quotient genus \(0\)
Group \(C_5\times S_3\)
Signature \([ 0; 2, 10, 15 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $6$
Quotient genus: $0$
Group name: $C_5\times S_3$
Group identifier: $[30,1]$
Signature: $[ 0; 2, 10, 15 ]$
Conjugacy classes for this refined passport: $2, 8, 14$

Jacobian variety group algebra decomposition:$A_{2}\times A_{2}^{2}$
Corresponding character(s): $6, 12$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

6.30-1.0.2-10-15.1.1

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