Properties

Genus \(8\)
Quotient Genus \(0\)
Group \(S_3\times D_5\)
Signature \([ 0; 2, 6, 10 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 8
Quotient Genus: 0
Group name: $S_3\times D_5$
Group identifier: [60,8]
Signature: $[ 0; 2, 6, 10 ]$
Conjugacy classes for this refined passport: 4, 8, 10

Jacobian variety group algebra decomposition:$A_{2}^{4}$
Corresponding character(s): 11

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):Yes
Trigonal automorphism: (1,6,11) (2,7,12) (3,8,13) (4,9,14) (5,10,15) (16,21,26) (17,22,27) (18,23,28) (19,24,29) (20,25,30) (31,36,41) (32,37,42) (33,38,43) (34,39,44) (35,40,45) (46,51,56) (47,52,57) (48,53,58) (49,54,59) (50,55,60)

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

8.60-8.0.2-6-10.2.1

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