Properties

Genus \(15\)
Quotient Genus \(0\)
Group \((C_2.S_4):C_2\)
Signature \([ 0; 2, 8, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $(C_2.S_4):C_2$
Group identifier: [96,192]
Signature: $[ 0; 2, 8, 12 ]$
Conjugacy classes for this refined passport: 4, 13, 15

Jacobian variety group algebra decomposition:$A_{2}^{2}\times E^{3}\times A_{2}^{4}$
Corresponding character(s): 7, 11, 15

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):No

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.96-192.0.2-8-12.1.1

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