Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(C_3\times C_7:C_3\)
Signature \([ 0; 3, 3, 21 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $C_3\times C_7:C_3$
Group identifier: [63,3]
Signature: $[ 0; 3, 3, 21 ]$
Conjugacy classes for this refined passport: 4, 7, 12

Jacobian variety group algebra decomposition:$E\times E^{3}\times A_{2}^{3}$
Corresponding character(s): 3, 10, 12

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.63-3.0.3-3-21.1.1

  (1,22,43) (2,24,47) (3,26,44) (4,28,48) (5,23,45) (6,25,49) (7,27,46) (8,29,50) (9,31,54) (10,33,51) (11,35,55) (12,30,52) (13,32,56) (14,34,53) (15,36,57) (16,38,61) (17,40,58) (18,42,62) (19,37,59) (20,39,63) (21,41,60)
  (1,62,33) (2,59,35) (3,63,30) (4,60,32) (5,57,34) (6,61,29) (7,58,31) (8,48,40) (9,45,42) (10,49,37) (11,46,39) (12,43,41) (13,47,36) (14,44,38) (15,55,26) (16,52,28) (17,56,23) (18,53,25) (19,50,27) (20,54,22) (21,51,24)
  (1,10,19,7,9,18,6,8,17,5,14,16,4,13,15,3,12,21,2,11,20) (22,31,40,28,30,39,27,29,38,26,35,37,25,34,36,24,33,42,23,32,41) (43,52,61,49,51,60,48,50,59,47,56,58,46,55,57,45,54,63,44,53,62)