Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_3^2:(C_3:C_4)\)
Signature \([ 0; 3, 4, 4 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_3^2:(C_3:C_4)$
Group identifier: [108,37]
Signature: $[ 0; 3, 4, 4 ]$
Conjugacy classes for this refined passport: 5, 10, 11

The full automorphism group for this family is $S_3^2:S_3$ with signature $[ 0; 2, 4, 6 ]$.

Jacobian variety group algebra decomposition:$A_{2}\times E^{4}\times E^{4}$
Corresponding character(s): 5, 8, 9

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.108-37.0.3-4-4.1.1

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