Properties

Label 13.64-20.0.4-4-8.16
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: $16, 24, 27$

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): $7, 8, 9, 19, 21, 23, 25$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.64-20.0.4-4-8.16.1

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