Properties

Label 7.12-5.0.2-6-6-6.3
Genus \(7\)
Quotient genus \(0\)
Group \(C_2\times C_6\)
Signature \([ 0; 2, 6, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $7$
Quotient genus: $0$
Group name: $C_2\times C_6$
Group identifier: $[12,5]$
Signature: $[ 0; 2, 6, 6, 6 ]$
Conjugacy classes for this refined passport: $2, 8, 10, 10$

Jacobian variety group algebra decomposition:$E\times E\times A_{2}\times E\times A_{2}$
Corresponding character(s): $4, 5, 6, 7, 8$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

7.12-5.0.2-6-6-6.3.1

  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,6,2,4,3,5) (7,12,8,10,9,11)
  (1,9,2,7,3,8) (4,12,5,10,6,11)
  (1,9,2,7,3,8) (4,12,5,10,6,11)