Properties

Label 7.16-2.0.2-4-4-4.34
Genus \(7\)
Quotient genus \(0\)
Group \(C_4^2\)
Signature \([ 0; 2, 4, 4, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $7$
Quotient genus: $0$
Group name: $C_4^2$
Group identifier: $[16,2]$
Signature: $[ 0; 2, 4, 4, 4 ]$
Conjugacy classes for this refined passport: $4, 5, 10, 16$

Jacobian variety group algebra decomposition:$E\times E\times E\times A_{2}\times A_{2}$
Corresponding character(s): $2, 5, 6, 7, 10$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

7.16-2.0.2-4-4-4.34.1

  (1,4) (2,3) (5,8) (6,7) (9,12) (10,11) (13,16) (14,15)
  (1,5,2,6) (3,7,4,8) (9,13,10,14) (11,15,12,16)
  (1,11,3,9) (2,12,4,10) (5,15,7,13) (6,16,8,14)
  (1,15,4,14) (2,16,3,13) (5,12,8,9) (6,11,7,10)