Properties

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

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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: 4, 6, 6

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.

14.78-1.0.3-6-6.2.1

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

14.78-1.0.3-6-6.2.2
  (1,27,14) (2,36,17) (3,32,20) (4,28,23) (5,37,26) (6,33,16) (7,29,19) (8,38,22) (9,34,25) (10,30,15) (11,39,18) (12,35,21) (13,31,24) (40,66,53) (41,75,56) (42,71,59) (43,67,62) (44,76,65) (45,72,55) (46,68,58) (47,77,61) (48,73,64) (49,69,54) (50,78,57) (51,74,60) (52,70,63)
  (1,73,23,44,37,61) (2,77,26,43,33,58) (3,68,16,42,29,55) (4,72,19,41,38,65) (5,76,22,40,34,62) (6,67,25,52,30,59) (7,71,15,51,39,56) (8,75,18,50,35,53) (9,66,21,49,31,63) (10,70,24,48,27,60) (11,74,14,47,36,57) (12,78,17,46,32,54) (13,69,20,45,28,64)
  (1,77,17,50,39,60) (2,68,20,49,35,57) (3,72,23,48,31,54) (4,76,26,47,27,64) (5,67,16,46,36,61) (6,71,19,45,32,58) (7,75,22,44,28,55) (8,66,25,43,37,65) (9,70,15,42,33,62) (10,74,18,41,29,59) (11,78,21,40,38,56) (12,69,24,52,34,53) (13,73,14,51,30,63)

Display number of generating vectors: