Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(OD_{32}:C_2\)
Signature \([ 0; 4, 4, 16 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 15
Quotient Genus: 0
Group name: $OD_{32}:C_2$
Group identifier: [64,41]
Signature: $[ 0; 4, 4, 16 ]$
Conjugacy classes for this refined passport: 7, 8, 13

Jacobian variety group algebra decomposition:$E\times E^{2}\times A_{3}^{4}$
Corresponding character(s): 5, 12, 15

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.64-41.0.4-4-16.1.1

  (1,21,2,22) (3,24,4,23) (5,18,6,17) (7,19,8,20) (9,32,10,31) (11,30,12,29) (13,27,14,28) (15,25,16,26) (33,53,34,54) (35,56,36,55) (37,50,38,49) (39,51,40,52) (41,64,42,63) (43,62,44,61) (45,59,46,60) (47,57,48,58)
  (1,33,5,37) (2,34,6,38) (3,36,7,40) (4,35,8,39) (9,43,13,47) (10,44,14,48) (11,41,15,45) (12,42,16,46) (17,57,21,61) (18,58,22,62) (19,60,23,64) (20,59,24,63) (25,50,29,54) (26,49,30,53) (27,51,31,55) (28,52,32,56)
  (1,49,16,64,4,52,14,62,2,50,15,63,3,51,13,61) (5,54,12,59,8,55,10,57,6,53,11,60,7,56,9,58) (17,44,32,40,20,42,30,38,18,43,31,39,19,41,29,37) (21,47,28,35,24,45,26,33,22,48,27,36,23,46,25,34)