↑

Properties

Label 7.12-4.0.2-2-2-2-2-2.3
Genus \(7\)
Quotient genus \(0\)
Group \(D_6\)
Signature \([ 0; 2, 2, 2, 2, 2, 2 ]\)
Generating Vectors \(4\)

Related objects

Downloads

Learn more

Family Information

Genus: $7$
Quotient genus: $0$
Group name: $D_6$
Group identifier: $[12,4]$
Signature: $[ 0; 2, 2, 2, 2, 2, 2 ]$
Conjugacy classes for this refined passport: $2, 2, 4, 4, 4, 4$

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

Other Data

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

Generating vector(s)

Displaying 4 of 4 generating vectors for this refined passport.

7.12-4.0.2-2-2-2-2-2.3.1

  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,10) (2,12) (3,11) (4,7) (5,9) (6,8)
  (1,10) (2,12) (3,11) (4,7) (5,9) (6,8)
  (1,12) (2,11) (3,10) (4,9) (5,8) (6,7)
  (1,12) (2,11) (3,10) (4,9) (5,8) (6,7)

7.12-4.0.2-2-2-2-2-2.3.2
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,10) (2,12) (3,11) (4,7) (5,9) (6,8)
  (1,12) (2,11) (3,10) (4,9) (5,8) (6,7)
  (1,10) (2,12) (3,11) (4,7) (5,9) (6,8)
  (1,11) (2,10) (3,12) (4,8) (5,7) (6,9)

7.12-4.0.2-2-2-2-2-2.3.3
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,10) (2,12) (3,11) (4,7) (5,9) (6,8)
  (1,12) (2,11) (3,10) (4,9) (5,8) (6,7)
  (1,12) (2,11) (3,10) (4,9) (5,8) (6,7)
  (1,10) (2,12) (3,11) (4,7) (5,9) (6,8)

7.12-4.0.2-2-2-2-2-2.3.4
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,10) (2,12) (3,11) (4,7) (5,9) (6,8)
  (1,12) (2,11) (3,10) (4,9) (5,8) (6,7)
  (1,11) (2,10) (3,12) (4,8) (5,7) (6,9)
  (1,12) (2,11) (3,10) (4,9) (5,8) (6,7)

Display number of generating vectors:

Displaying the unique representative of this refined passport up to braid equivalence.

  7.12-4.0.2-2-2-2-2-2.3.1

  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,4) (2,5) (3,6) (7,10) (8,11) (9,12)
  (1,10) (2,12) (3,11) (4,7) (5,9) (6,8)
  (1,10) (2,12) (3,11) (4,7) (5,9) (6,8)
  (1,12) (2,11) (3,10) (4,9) (5,8) (6,7)
  (1,12) (2,11) (3,10) (4,9) (5,8) (6,7)