Properties

Label 13.64-20.0.4-4-8.23
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: $18, 23, 27$

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.

13.64-20.0.4-4-8.23.1

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