Properties

Genus \(8\)
Quotient Genus \(0\)
Group \(C_2\times C_7:C_3\)
Signature \([ 0; 3, 6, 6 ]\)
Generating Vectors \(2\)

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Family Information

Genus: 8
Quotient Genus: 0
Group name: $C_2\times C_7:C_3$
Group identifier: [42,2]
Signature: $[ 0; 3, 6, 6 ]$
Conjugacy classes for this refined passport: 4, 6, 6

The full automorphism group for this family is $C_2\times F_7$ with signature $[ 0; 2, 6, 6 ]$.

Jacobian variety group algebra decomposition:$E\times E\times A_{2}^{3}$
Corresponding character(s): 3, 4, 7

Generating Vector(s)

Displaying 2 of 2 generating vectors for this refined passport.

8.42-2.0.3-6-6.2.1

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

8.42-2.0.3-6-6.2.2
  (1,15,8) (2,19,10) (3,16,12) (4,20,14) (5,17,9) (6,21,11) (7,18,13) (22,36,29) (23,40,31) (24,37,33) (25,41,35) (26,38,30) (27,42,32) (28,39,34)
  (1,41,12,22,20,33) (2,38,14,23,17,35) (3,42,9,24,21,30) (4,39,11,25,18,32) (5,36,13,26,15,34) (6,40,8,27,19,29) (7,37,10,28,16,31)
  (1,37,13,22,16,34) (2,41,8,23,20,29) (3,38,10,24,17,31) (4,42,12,25,21,33) (5,39,14,26,18,35) (6,36,9,27,15,30) (7,40,11,28,19,32)

Display number of generating vectors: