Properties

Genus \(4\)
Quotient Genus \(0\)
Group \(A_5\)
Signature \([ 0; 2, 5, 5 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 4
Quotient Genus: 0
Group name: $A_5$
Group identifier: [60,5]
Signature: $[ 0; 2, 5, 5 ]$
Conjugacy classes for this refined passport: 2, 4, 5

The full automorphism group for this family is $S_5$ with signature $[ 0; 2, 4, 5 ]$.

Jacobian variety group algebra decomposition:$E^{4}$
Corresponding character(s): 4

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

4.60-5.0.2-5-5.1.1

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