Properties

Genus \(14\)
Quotient Genus \(0\)
Group \(C_5\times D_7\)
Signature \([ 0; 2, 10, 35 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 14
Quotient Genus: 0
Group name: $C_5\times D_7$
Group identifier: [70,2]
Signature: $[ 0; 2, 10, 35 ]$
Conjugacy classes for this refined passport: 2, 10, 19

Jacobian variety group algebra decomposition:$A_{2}\times A_{6}^{2}$
Corresponding character(s): 3, 14

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

14.70-2.0.2-10-35.2.1

  (1,36) (2,42) (3,41) (4,40) (5,39) (6,38) (7,37) (8,43) (9,49) (10,48) (11,47) (12,46) (13,45) (14,44) (15,50) (16,56) (17,55) (18,54) (19,53) (20,52) (21,51) (22,57) (23,63) (24,62) (25,61) (26,60) (27,59) (28,58) (29,64) (30,70) (31,69) (32,68) (33,67) (34,66) (35,65)
  (1,45,15,59,29,38,8,52,22,66) (2,44,16,58,30,37,9,51,23,65) (3,43,17,57,31,36,10,50,24,64) (4,49,18,63,32,42,11,56,25,70) (5,48,19,62,33,41,12,55,26,69) (6,47,20,61,34,40,13,54,27,68) (7,46,21,60,35,39,14,53,28,67)
  (1,34,25,16,14,5,31,22,20,11,2,35,26,17,8,6,32,23,21,12,3,29,27,18,9,7,33,24,15,13,4,30,28,19,10) (36,69,60,51,49,40,66,57,55,46,37,70,61,52,43,41,67,58,56,47,38,64,62,53,44,42,68,59,50,48,39,65,63,54,45)