Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_2\times C_{22}\)
Signature \([ 0; 2, 22, 22 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_2\times C_{22}$
Group identifier: [44,4]
Signature: $[ 0; 2, 22, 22 ]$
Conjugacy classes for this refined passport: 2, 25, 44

The full automorphism group for this family is $D_{22}:C_2$ with signature $[ 0; 2, 4, 22 ]$.

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.44-4.0.2-22-22.1.1

  (1,12) (2,13) (3,14) (4,15) (5,16) (6,17) (7,18) (8,19) (9,20) (10,21) (11,22) (23,34) (24,35) (25,36) (26,37) (27,38) (28,39) (29,40) (30,41) (31,42) (32,43) (33,44)
  (1,24,3,26,5,28,7,30,9,32,11,23,2,25,4,27,6,29,8,31,10,33) (12,35,14,37,16,39,18,41,20,43,22,34,13,36,15,38,17,40,19,42,21,44)
  (1,44,10,42,8,40,6,38,4,36,2,34,11,43,9,41,7,39,5,37,3,35) (12,33,21,31,19,29,17,27,15,25,13,23,22,32,20,30,18,28,16,26,14,24)