Properties

Genus \(8\)
Quotient Genus \(0\)
Group \(C_2\times C_{18}\)
Signature \([ 0; 2, 18, 18 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 8
Quotient Genus: 0
Group name: $C_2\times C_{18}$
Group identifier: [36,5]
Signature: $[ 0; 2, 18, 18 ]$
Conjugacy classes for this refined passport: 2, 26, 35

The full automorphism group for this family is $C_9:D_4$ with signature $[ 0; 2, 4, 18 ]$.

Jacobian variety group algebra decomposition:$A_{3}\times A_{3}\times E\times E$
Corresponding character(s): 6, 8, 14, 16

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.36-5.0.2-18-18.2.1

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