Properties

Label 15.44-2.0.4-11-44.13
Genus \(15\)
Quotient genus \(0\)
Group \(C_{44}\)
Signature \([ 0; 4, 11, 44 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

Family Information

Genus: $15$
Quotient genus: $0$
Group name: $C_{44}$
Group identifier: $[44,2]$
Signature: $[ 0; 4, 11, 44 ]$
Conjugacy classes for this refined passport: $4, 7, 43$

Jacobian variety group algebra decomposition:$A_{10}\times A_{5}$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.44-2.0.4-11-44.13.1

  (1,24,2,23) (3,26,4,25) (5,28,6,27) (7,30,8,29) (9,32,10,31) (11,34,12,33) (13,36,14,35) (15,38,16,37) (17,40,18,39) (19,42,20,41) (21,44,22,43)
  (1,7,13,19,3,9,15,21,5,11,17) (2,8,14,20,4,10,16,22,6,12,18) (23,29,35,41,25,31,37,43,27,33,39) (24,30,36,42,26,32,38,44,28,34,40)
  (1,39,12,28,21,37,10,26,19,35,8,24,17,33,6,44,15,31,4,42,13,29,2,40,11,27,22,38,9,25,20,36,7,23,18,34,5,43,16,32,3,41,14,30)