Properties

Label 7.24-9.0.4-6-12.4
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: $7, 16, 21$

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.

7.24-9.0.4-6-12.4.1

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