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, 8, 9

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.

10.72-39.0.2-8-8.2.1

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