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, 9, 16

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.

7.72-25.0.3-3-6.2.1

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