Properties

Label 12.55-1.0.5-5-5.1
Genus \(12\)
Quotient genus \(0\)
Group \(C_{11}:C_5\)
Signature \([ 0; 5, 5, 5 ]\)
Generating Vectors \(2\)

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Family Information

Genus: $12$
Quotient genus: $0$
Group name: $C_{11}:C_5$
Group identifier: $[55,1]$
Signature: $[ 0; 5, 5, 5 ]$
Conjugacy classes for this refined passport: $2, 2, 4$

The full automorphism group for this family is $F_{11}$ with signature $[ 0; 2, 5, 10 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times A_{2}^{5}$
Corresponding character(s): $2, 6$

Generating vector(s)

Displaying 2 of 2 generating vectors for this refined passport.

12.55-1.0.5-5-5.1.1

  (1,12,23,34,45) (2,16,28,43,48) (3,20,33,41,51) (4,13,27,39,54) (5,17,32,37,46) (6,21,26,35,49) (7,14,31,44,52) (8,18,25,42,55) (9,22,30,40,47) (10,15,24,38,50) (11,19,29,36,53)
  (1,20,30,37,54) (2,13,24,35,46) (3,17,29,44,49) (4,21,23,42,52) (5,14,28,40,55) (6,18,33,38,47) (7,22,27,36,50) (8,15,32,34,53) (9,19,26,43,45) (10,12,31,41,48) (11,16,25,39,51)
  (1,39,18,49,31) (2,37,22,52,25) (3,35,15,55,30) (4,44,19,47,24) (5,42,12,50,29) (6,40,16,53,23) (7,38,20,45,28) (8,36,13,48,33) (9,34,17,51,27) (10,43,21,54,32) (11,41,14,46,26)

12.55-1.0.5-5-5.1.2
  (1,12,23,34,45) (2,16,28,43,48) (3,20,33,41,51) (4,13,27,39,54) (5,17,32,37,46) (6,21,26,35,49) (7,14,31,44,52) (8,18,25,42,55) (9,22,30,40,47) (10,15,24,38,50) (11,19,29,36,53)
  (1,17,26,40,52) (2,21,31,38,55) (3,14,25,36,47) (4,18,30,34,50) (5,22,24,43,53) (6,15,29,41,45) (7,19,23,39,48) (8,12,28,37,51) (9,16,33,35,54) (10,20,27,44,46) (11,13,32,42,49)
  (1,44,13,53,28) (2,42,17,45,33) (3,40,21,48,27) (4,38,14,51,32) (5,36,18,54,26) (6,34,22,46,31) (7,43,15,49,25) (8,41,19,52,30) (9,39,12,55,24) (10,37,16,47,29) (11,35,20,50,23)

Display number of generating vectors: