Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(C_{11}:C_5\)
Signature \([ 0; 5, 5, 11 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_{11}:C_5$
Group identifier: [55,1]
Signature: $[ 0; 5, 5, 11 ]$
Conjugacy classes for this refined passport: 2, 5, 6

Jacobian variety group algebra decomposition:$A_{3}^{5}$
Corresponding character(s): 6

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.55-1.0.5-5-11.1.1

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