Properties

Label 10.42-2.0.3-6-14.1
Genus \(10\)
Quotient genus \(0\)
Group \(C_7:C_6\)
Signature \([ 0; 3, 6, 14 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $10$
Quotient genus: $0$
Group name: $C_7:C_6$
Group identifier: $[42,2]$
Signature: $[ 0; 3, 6, 14 ]$
Conjugacy classes for this refined passport: $3, 6, 9$

Jacobian variety group algebra decomposition:$E\times A_{2}^{3}\times E^{3}$
Corresponding character(s): $5, 7, 8$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

10.42-2.0.3-6-14.1.1

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