Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_3^2:S_3.C_2\)
Signature \([ 0; 3, 4, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_3^2:S_3.C_2$
Group identifier: [108,15]
Signature: $[ 0; 3, 4, 4 ]$
Conjugacy classes for this refined passport: 5, 7, 8

The full automorphism group for this family is $C_3.S_3\wr C_2$ with signature $[ 0; 2, 4, 6 ]$.

Jacobian variety group algebra decomposition:$A_{2}^{3}\times E^{4}$
Corresponding character(s): 5, 14

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.108-15.0.3-4-4.1.1

  (1,4,7) (2,5,8) (3,6,9) (10,13,16) (11,14,17) (12,15,18) (19,22,25) (20,23,26) (21,24,27) (28,31,34) (29,32,35) (30,33,36) (37,40,43) (38,41,44) (39,42,45) (46,49,52) (47,50,53) (48,51,54) (55,58,61) (56,59,62) (57,60,63) (64,67,70) (65,68,71) (66,69,72) (73,76,79) (74,77,80) (75,78,81) (82,85,88) (83,86,89) (84,87,90) (91,94,97) (92,95,98) (93,96,99) (100,103,106) (101,104,107) (102,105,108)
  (1,55,28,82) (2,56,29,83) (3,57,30,84) (4,79,35,96) (5,80,36,94) (6,81,34,95) (7,68,33,108) (8,69,31,106) (9,67,32,107) (10,70,46,105) (11,71,47,103) (12,72,48,104) (13,59,53,90) (14,60,54,88) (15,58,52,89) (16,73,51,91) (17,74,49,92) (18,75,50,93) (19,78,37,97) (20,76,38,98) (21,77,39,99) (22,65,44,101) (23,66,45,102) (24,64,43,100) (25,62,42,85) (26,63,40,86) (27,61,41,87)
  (1,88,51,79) (2,89,49,80) (3,90,50,81) (4,93,47,68) (5,91,48,69) (6,92,46,67) (7,105,52,55) (8,103,53,56) (9,104,54,57) (10,102,42,59) (11,100,40,60) (12,101,41,58) (13,87,38,73) (14,85,39,74) (15,86,37,75) (16,97,43,70) (17,98,44,71) (18,99,45,72) (19,94,33,65) (20,95,31,66) (21,96,32,64) (22,107,29,62) (23,108,30,63) (24,106,28,61) (25,82,34,78) (26,83,35,76) (27,84,36,77)