Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_3\wr C_3\)
Signature \([ 0; 3, 3, 9 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_3\wr C_3$
Group identifier: [81,7]
Signature: $[ 0; 3, 3, 9 ]$
Conjugacy classes for this refined passport: 6, 12, 15

The full automorphism group for this family is $C_3^3:C_2^2:C_3$ with signature $[ 0; 2, 3, 9 ]$.

Jacobian variety group algebra decomposition:$E\times A_{2}^{3}\times E^{3}$
Corresponding character(s): 3, 12, 14

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.81-7.0.3-3-9.1.1

  (1,10,19) (2,11,20) (3,12,21) (4,13,22) (5,14,23) (6,15,24) (7,16,25) (8,17,26) (9,18,27) (28,37,46) (29,38,47) (30,39,48) (31,40,49) (32,41,50) (33,42,51) (34,43,52) (35,44,53) (36,45,54) (55,64,73) (56,65,74) (57,66,75) (58,67,76) (59,68,77) (60,69,78) (61,70,79) (62,71,80) (63,72,81)
  (1,28,55) (2,29,56) (3,30,57) (4,32,60) (5,33,58) (6,31,59) (7,36,62) (8,34,63) (9,35,61) (10,40,71) (11,41,72) (12,42,70) (13,44,64) (14,45,65) (15,43,66) (16,39,69) (17,37,67) (18,38,68) (19,52,78) (20,53,76) (21,54,77) (22,47,80) (23,48,81) (24,46,79) (25,51,73) (26,49,74) (27,50,75)
  (1,73,42,3,75,41,2,74,40) (4,78,43,6,77,45,5,76,44) (7,80,38,9,79,37,8,81,39) (10,62,54,12,61,53,11,63,52) (13,55,46,15,57,48,14,56,47) (16,60,50,18,59,49,17,58,51) (19,69,30,21,68,29,20,67,28) (22,71,31,24,70,33,23,72,32) (25,64,35,27,66,34,26,65,36)