Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(C_3\times \SL(2,3)\)
Signature \([ 0; 3, 3, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 7
Quotient Genus: 0
Group name: $C_3\times \SL(2,3)$
Group identifier: [72,25]
Signature: $[ 0; 3, 3, 6 ]$
Conjugacy classes for this refined passport: 5, 7, 18

The full automorphism group for this family is $\SL(2,3):S_3$ with signature $[ 0; 2, 3, 12 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}\times E^{2}\times E^{2}$
Corresponding character(s): 2, 10, 11, 15

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.72-25.0.3-3-6.1.1

  (1,25,49) (2,26,50) (3,31,53) (4,32,54) (5,27,55) (6,28,56) (7,29,51) (8,30,52) (9,33,57) (10,34,58) (11,39,61) (12,40,62) (13,35,63) (14,36,64) (15,37,59) (16,38,60) (17,41,65) (18,42,66) (19,47,69) (20,48,70) (21,43,71) (22,44,72) (23,45,67) (24,46,68)
  (1,37,72) (2,38,71) (3,35,67) (4,36,68) (5,40,65) (6,39,66) (7,34,70) (8,33,69) (9,45,56) (10,46,55) (11,43,51) (12,44,52) (13,48,49) (14,47,50) (15,42,54) (16,41,53) (17,29,64) (18,30,63) (19,27,59) (20,28,60) (21,32,57) (22,31,58) (23,26,62) (24,25,61)
  (1,44,62,2,43,61) (3,45,57,4,46,58) (5,41,60,6,42,59) (7,48,63,8,47,64) (9,28,70,10,27,69) (11,29,65,12,30,66) (13,25,68,14,26,67) (15,32,71,16,31,72) (17,36,54,18,35,53) (19,37,49,20,38,50) (21,33,52,22,34,51) (23,40,55,24,39,56)