Properties

Label 7.24-9.0.4-6-12.11
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: $9, 15, 18$

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.

7.24-9.0.4-6-12.11.1

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