Properties

Genus \(14\)
Quotient Genus \(0\)
Group \(C_3:F_5\)
Signature \([ 0; 4, 4, 15 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 14
Quotient Genus: 0
Group name: $C_3:F_5$
Group identifier: [60,7]
Signature: $[ 0; 4, 4, 15 ]$
Conjugacy classes for this refined passport: 4, 5, 8

Jacobian variety group algebra decomposition:$A_{2}\times E^{4}\times A_{2}^{4}$
Corresponding character(s): 6, 7, 8

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

14.60-7.0.4-4-15.1.1

  (1,31,16,46) (2,34,20,48) (3,32,19,50) (4,35,18,47) (5,33,17,49) (6,41,21,56) (7,44,25,58) (8,42,24,60) (9,45,23,57) (10,43,22,59) (11,36,26,51) (12,39,30,53) (13,37,29,55) (14,40,28,52) (15,38,27,54)
  (1,60,18,44) (2,57,17,42) (3,59,16,45) (4,56,20,43) (5,58,19,41) (6,55,23,39) (7,52,22,37) (8,54,21,40) (9,51,25,38) (10,53,24,36) (11,50,28,34) (12,47,27,32) (13,49,26,35) (14,46,30,33) (15,48,29,31)
  (1,7,13,4,10,11,2,8,14,5,6,12,3,9,15) (16,22,28,19,25,26,17,23,29,20,21,27,18,24,30) (31,37,43,34,40,41,32,38,44,35,36,42,33,39,45) (46,52,58,49,55,56,47,53,59,50,51,57,48,54,60)