Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(F_9\)
Signature \([ 0; 2, 8, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $F_9$
Group identifier: [72,39]
Signature: $[ 0; 2, 8, 8 ]$
Conjugacy classes for this refined passport: 2, 6, 7

The full automorphism group for this family is $AGL(2,3)$ with signature $[ 0; 2, 3, 8 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times E^{8}$
Corresponding character(s): 5, 9

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.72-39.0.2-8-8.1.1

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