Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(F_8\)
Signature \([ 0; 2, 7, 7 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 7
Quotient Genus: 0
Group name: $F_8$
Group identifier: [56,11]
Signature: $[ 0; 2, 7, 7 ]$
Conjugacy classes for this refined passport: 2, 3, 8

The full automorphism group for this family is $\PSL(2,8)$ with signature $[ 0; 2, 3, 7 ]$.

Jacobian variety group algebra decomposition:$E^{7}$
Corresponding character(s): 8

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.56-11.0.2-7-7.1.1

  (1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) (17,18) (19,20) (21,22) (23,24) (25,26) (27,28) (29,30) (31,32) (33,34) (35,36) (37,38) (39,40) (41,42) (43,44) (45,46) (47,48) (49,50) (51,52) (53,54) (55,56)
  (1,9,17,25,33,41,49) (2,14,24,31,36,45,51) (3,10,22,32,39,44,53) (4,13,19,26,38,48,55) (5,11,18,30,40,47,52) (6,16,23,28,37,43,50) (7,12,21,27,34,46,56) (8,15,20,29,35,42,54)
  (1,50,44,40,29,19,14) (2,52,48,37,27,22,9) (3,54,41,34,28,24,13) (4,56,45,35,30,17,10) (5,51,46,33,26,20,16) (6,49,42,36,32,21,11) (7,55,47,39,31,23,15) (8,53,43,38,25,18,12)