Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_{11}:C_4\)
Signature \([ 0; 4, 4, 11 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_{11}:C_4$
Group identifier: [44,1]
Signature: $[ 0; 4, 4, 11 ]$
Conjugacy classes for this refined passport: 3, 4, 5

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

Jacobian variety group algebra decomposition:$A_{10}$
Corresponding character(s): 6

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.44-1.0.4-4-11.1.1

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