Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(C_{31}:C_3\)
Signature \([ 0; 3, 3, 31 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $C_{31}:C_3$
Group identifier: [93,1]
Signature: $[ 0; 3, 3, 31 ]$
Conjugacy classes for this refined passport: 2, 3, 4

Jacobian variety group algebra decomposition:$A_{5}^{3}$
Corresponding character(s): 4

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

15.93-1.0.3-3-31.1.1

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