Properties

Label 7.24-9.0.4-6-12.9
Genus \(7\)
Quotient genus \(0\)
Group \(C_2\times C_{12}\)
Signature \([ 0; 4, 6, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $7$
Quotient genus: $0$
Group name: $C_2\times C_{12}$
Group identifier: $[24,9]$
Signature: $[ 0; 4, 6, 12 ]$
Conjugacy classes for this refined passport: $9, 13, 20$

Jacobian variety group algebra decomposition:$E\times E\times A_{2}\times A_{2}\times E$
Corresponding character(s): $3, 10, 11, 12, 13$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

7.24-9.0.4-6-12.9.1

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