Properties

Label 13.64-20.0.4-4-8.20
Genus \(13\)
Quotient genus \(0\)
Group \(C_4^2:C_4\)
Signature \([ 0; 4, 4, 8 ]\)
Generating Vectors \(1\)

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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: $17, 24, 28$

Jacobian variety group algebra decomposition:$E\times E\times E\times A_{2}\times A_{2}^{2}\times E^{2}\times E^{2}$
Corresponding character(s): $5, 7, 8, 19, 21, 23, 25$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.64-20.0.4-4-8.20.1

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