Properties

Label 14.20-5.0.2-2-2-10-10.20
Genus \(14\)
Quotient genus \(0\)
Group \(C_2\times C_{10}\)
Signature \([ 0; 2, 2, 2, 10, 10 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $14$
Quotient genus: $0$
Group name: $C_2\times C_{10}$
Group identifier: $[20,5]$
Signature: $[ 0; 2, 2, 2, 10, 10 ]$
Conjugacy classes for this refined passport: $2, 3, 4, 14, 15$

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

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

14.20-5.0.2-2-2-10-10.20.1

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