Properties

Label 15.24-15.0.2-2-2-6-6.39
Genus \(15\)
Quotient genus \(0\)
Group \(C_2^2\times C_6\)
Signature \([ 0; 2, 2, 2, 6, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $15$
Quotient genus: $0$
Group name: $C_2^2\times C_6$
Group identifier: $[24,15]$
Signature: $[ 0; 2, 2, 2, 6, 6 ]$
Conjugacy classes for this refined passport: $2, 3, 6, 11, 24$

Jacobian variety group algebra decomposition:$E\times E\times E\times A_{2}\times E\times E\times A_{2}\times A_{2}\times E\times A_{3}$
Corresponding character(s): $2, 6, 8, 10, 11, 12, 13, 14, 15, 16$

Other Data

Hyperelliptic curve(s):no
Cyclic trigonal curve(s):no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.24-15.0.2-2-2-6-6.39.1

  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12) (13,16) (14,17) (15,18) (19,22) (20,23) (21,24)
  (1,7) (2,8) (3,9) (4,10) (5,11) (6,12) (13,19) (14,20) (15,21) (16,22) (17,23) (18,24)
  (1,16) (2,17) (3,18) (4,13) (5,14) (6,15) (7,22) (8,23) (9,24) (10,19) (11,20) (12,21)
  (1,5,3,4,2,6) (7,11,9,10,8,12) (13,17,15,16,14,18) (19,23,21,22,20,24)
  (1,24,2,22,3,23) (4,21,5,19,6,20) (7,18,8,16,9,17) (10,15,11,13,12,14)