Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_3\times \SL(2,3)\)
Signature \([ 0; 3, 3, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_3\times \SL(2,3)$
Group identifier: [72,25]
Signature: $[ 0; 3, 3, 12 ]$
Conjugacy classes for this refined passport: 5, 8, 20

The full automorphism group for this family is $C_3\times \GL(2,3)$ with signature $[ 0; 2, 3, 24 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}\times E^{2}\times E^{2}\times E^{3}$
Corresponding character(s): 3, 10, 11, 14, 20

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.72-25.0.3-3-12.1.1

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