Properties

Genus \(14\)
Quotient Genus \(0\)
Group \(D_{13}:C_3\)
Signature \([ 0; 3, 6, 6 ]\)
Generating Vectors \(2\)

Related objects

Downloads

Learn more about

Family Information

Genus: 14
Quotient Genus: 0
Group name: $D_{13}:C_3$
Group identifier: [78,1]
Signature: $[ 0; 3, 6, 6 ]$
Conjugacy classes for this refined passport: 3, 5, 5

The full automorphism group for this family is $C_2\times D_{13}:C_3$ with signature $[ 0; 2, 6, 6 ]$.

Jacobian variety group algebra decomposition:$E\times E\times A_{2}^{6}$
Corresponding character(s): 3, 4, 7

Generating Vector(s)

Displaying 2 of 2 generating vectors for this refined passport.

14.78-1.0.3-6-6.1.1

  (1,14,27) (2,17,36) (3,20,32) (4,23,28) (5,26,37) (6,16,33) (7,19,29) (8,22,38) (9,25,34) (10,15,30) (11,18,39) (12,21,35) (13,24,31) (40,53,66) (41,56,75) (42,59,71) (43,62,67) (44,65,76) (45,55,72) (46,58,68) (47,61,77) (48,64,73) (49,54,69) (50,57,78) (51,60,74) (52,63,70)
  (1,57,32,42,25,76) (2,54,28,41,15,67) (3,64,37,40,18,71) (4,61,33,52,21,75) (5,58,29,51,24,66) (6,55,38,50,14,70) (7,65,34,49,17,74) (8,62,30,48,20,78) (9,59,39,47,23,69) (10,56,35,46,26,73) (11,53,31,45,16,77) (12,63,27,44,19,68) (13,60,36,43,22,72)
  (1,65,29,46,21,70) (2,62,38,45,24,74) (3,59,34,44,14,78) (4,56,30,43,17,69) (5,53,39,42,20,73) (6,63,35,41,23,77) (7,60,31,40,26,68) (8,57,27,52,16,72) (9,54,36,51,19,76) (10,64,32,50,22,67) (11,61,28,49,25,71) (12,58,37,48,15,75) (13,55,33,47,18,66)

14.78-1.0.3-6-6.1.2
  (1,14,27) (2,17,36) (3,20,32) (4,23,28) (5,26,37) (6,16,33) (7,19,29) (8,22,38) (9,25,34) (10,15,30) (11,18,39) (12,21,35) (13,24,31) (40,53,66) (41,56,75) (42,59,71) (43,62,67) (44,65,76) (45,55,72) (46,58,68) (47,61,77) (48,64,73) (49,54,69) (50,57,78) (51,60,74) (52,63,70)
  (1,61,37,44,23,73) (2,58,33,43,26,77) (3,55,29,42,16,68) (4,65,38,41,19,72) (5,62,34,40,22,76) (6,59,30,52,25,67) (7,56,39,51,15,71) (8,53,35,50,18,75) (9,63,31,49,21,66) (10,60,27,48,24,70) (11,57,36,47,14,74) (12,54,32,46,17,78) (13,64,28,45,20,69)
  (1,64,31,52,15,74) (2,61,27,51,18,78) (3,58,36,50,21,69) (4,55,32,49,24,73) (5,65,28,48,14,77) (6,62,37,47,17,68) (7,59,33,46,20,72) (8,56,29,45,23,76) (9,53,38,44,26,67) (10,63,34,43,16,71) (11,60,30,42,19,75) (12,57,39,41,22,66) (13,54,35,40,25,70)

Display number of generating vectors: