Properties

Genus \(5\)
Small Group \(A_5\)
Signature \([ 0; 3, 3, 5 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more about

Family Information

Genus: 5
Group name: $A_5$
Group identifier: [60,5]
Signature: $[ 0; 3, 3, 5 ]$
Conjugacy classes for this refined passport: 3, 3, 4

The full automorphism group for this family is $C_2\times A_5$ with signature $[ 0; 2, 3, 10 ]$.

Jacobian variety group algebra decomposition:$E^{5}$
Corresponding character(s): 5

Other Data

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.60-5.0.3-3-5.1.1

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