Properties

Genus \(14\)
Quotient Genus \(0\)
Group \(C_{10}.C_4\)
Signature \([ 0; 8, 8, 10 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 14
Quotient Genus: 0
Group name: $C_{10}.C_4$
Group identifier: [40,3]
Signature: $[ 0; 8, 8, 10 ]$
Conjugacy classes for this refined passport: 6, 7, 10

Jacobian variety group algebra decomposition:$A_{2}\times E^{4}\times A_{4}^{2}$
Corresponding character(s): 5, 9, 10

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

14.40-3.0.8-8-10.1.1

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