Properties

Label 8.40-10.0.2-10-20.7
Genus \(8\)
Quotient genus \(0\)
Group \(C_5\times D_4\)
Signature \([ 0; 2, 10, 20 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $8$
Quotient genus: $0$
Group name: $C_5\times D_4$
Group identifier: $[40,10]$
Signature: $[ 0; 2, 10, 20 ]$
Conjugacy classes for this refined passport: $4, 16, 23$

Jacobian variety group algebra decomposition:$A_{2}\times A_{2}\times A_{2}^{2}$
Corresponding character(s): $5, 7, 22$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

8.40-10.0.2-10-20.7.1

  (1,21) (2,22) (3,23) (4,24) (5,25) (6,26) (7,27) (8,28) (9,29) (10,30) (11,32) (12,31) (13,34) (14,33) (15,36) (16,35) (17,38) (18,37) (19,40) (20,39)
  (1,15,9,13,7,11,5,19,3,17) (2,16,10,14,8,12,6,20,4,18) (21,35,29,33,27,31,25,39,23,37) (22,36,30,34,28,32,26,40,24,38)
  (1,38,4,39,5,32,8,33,9,36,2,37,3,40,6,31,7,34,10,35) (11,27,14,30,15,21,18,24,19,25,12,28,13,29,16,22,17,23,20,26)