Properties

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

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Family Information

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

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

5.60-5.0.3-3-5.2.1

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