Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(C_7^2\)
Signature \([ 0; 7, 7, 7 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_7^2$
Group identifier: [49,2]
Signature: $[ 0; 7, 7, 7 ]$
Conjugacy classes for this refined passport: 2, 8, 19

The full automorphism group for this family is $C_7^2:S_3$ with signature $[ 0; 2, 3, 14 ]$.

Jacobian variety group algebra decomposition:$A_{3}\times A_{3}\times A_{3}\times A_{3}\times A_{3}$
Corresponding character(s): 9, 10, 11, 12, 13

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.49-2.0.7-7-7.1.1

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