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, 9

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.

14.60-7.0.4-4-15.2.1

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