Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(A_5\)
Signature \([ 0; 5, 5, 5 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $A_5$
Group identifier: [60,5]
Signature: $[ 0; 5, 5, 5 ]$
Conjugacy classes for this refined passport: 4, 4, 4

The full automorphism group for this family is $S_3\times A_5$ with signature $[ 0; 2, 3, 10 ]$.

Jacobian variety group algebra decomposition:$A_{2}^{4}\times E^{5}$
Corresponding character(s): 4, 5

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.60-5.0.5-5-5.1.1

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