Properties

Label 13.64-20.0.4-4-8.2
Genus \(13\)
Quotient genus \(0\)
Group \(C_4^2:C_4\)
Signature \([ 0; 4, 4, 8 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

Family Information

Genus: $13$
Quotient genus: $0$
Group name: $C_4^2:C_4$
Group identifier: $[64,20]$
Signature: $[ 0; 4, 4, 8 ]$
Conjugacy classes for this refined passport: $13, 22, 27$

Jacobian variety group algebra decomposition:$E\times E\times E\times A_{2}\times E^{2}\times E^{2}\times A_{2}^{2}$
Corresponding character(s): $8, 9, 11, 19, 21, 23, 26$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.64-20.0.4-4-8.2.1

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