Properties

Genus \(15\)
Quotient Genus \(0\)
Group \(D_{21}\)
Signature \([ 0; 2, 2, 2, 2, 3 ]\)
Generating Vectors \(432\)

Related objects

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Family Information

Genus: 15
Quotient Genus: 0
Group name: $D_{21}$
Group identifier: [42,5]
Signature: $[ 0; 2, 2, 2, 2, 3 ]$
Conjugacy classes for this refined passport: 2, 2, 2, 2, 3

Jacobian variety group algebra decomposition:$E\times E^{2}\times A_{6}^{2}$
Corresponding character(s): 2, 3, 7

Other Data

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

Generating Vector(s)

Displaying 20 of 432 generating vectors for this refined passport.

15.42-5.0.2-2-2-2-3.1.1

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

15.42-5.0.2-2-2-2-3.1.2
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,24) (2,23) (3,22) (4,28) (5,27) (6,26) (7,25) (8,38) (9,37) (10,36) (11,42) (12,41) (13,40) (14,39) (15,31) (16,30) (17,29) (18,35) (19,34) (20,33) (21,32)
  (1,31) (2,30) (3,29) (4,35) (5,34) (6,33) (7,32) (8,24) (9,23) (10,22) (11,28) (12,27) (13,26) (14,25) (15,38) (16,37) (17,36) (18,42) (19,41) (20,40) (21,39)
  (1,15,8) (2,16,9) (3,17,10) (4,18,11) (5,19,12) (6,20,13) (7,21,14) (22,36,29) (23,37,30) (24,38,31) (25,39,32) (26,40,33) (27,41,34) (28,42,35)

15.42-5.0.2-2-2-2-3.1.3
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,26) (2,25) (3,24) (4,23) (5,22) (6,28) (7,27) (8,40) (9,39) (10,38) (11,37) (12,36) (13,42) (14,41) (15,33) (16,32) (17,31) (18,30) (19,29) (20,35) (21,34)
  (1,40) (2,39) (3,38) (4,37) (5,36) (6,42) (7,41) (8,33) (9,32) (10,31) (11,30) (12,29) (13,35) (14,34) (15,26) (16,25) (17,24) (18,23) (19,22) (20,28) (21,27)
  (1,8,15) (2,9,16) (3,10,17) (4,11,18) (5,12,19) (6,13,20) (7,14,21) (22,29,36) (23,30,37) (24,31,38) (25,32,39) (26,33,40) (27,34,41) (28,35,42)

15.42-5.0.2-2-2-2-3.1.4
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,26) (2,25) (3,24) (4,23) (5,22) (6,28) (7,27) (8,40) (9,39) (10,38) (11,37) (12,36) (13,42) (14,41) (15,33) (16,32) (17,31) (18,30) (19,29) (20,35) (21,34)
  (1,33) (2,32) (3,31) (4,30) (5,29) (6,35) (7,34) (8,26) (9,25) (10,24) (11,23) (12,22) (13,28) (14,27) (15,40) (16,39) (17,38) (18,37) (19,36) (20,42) (21,41)
  (1,15,8) (2,16,9) (3,17,10) (4,18,11) (5,19,12) (6,20,13) (7,21,14) (22,36,29) (23,37,30) (24,38,31) (25,39,32) (26,40,33) (27,41,34) (28,42,35)

15.42-5.0.2-2-2-2-3.1.5
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,28) (2,27) (3,26) (4,25) (5,24) (6,23) (7,22) (8,42) (9,41) (10,40) (11,39) (12,38) (13,37) (14,36) (15,35) (16,34) (17,33) (18,32) (19,31) (20,30) (21,29)
  (1,42) (2,41) (3,40) (4,39) (5,38) (6,37) (7,36) (8,35) (9,34) (10,33) (11,32) (12,31) (13,30) (14,29) (15,28) (16,27) (17,26) (18,25) (19,24) (20,23) (21,22)
  (1,8,15) (2,9,16) (3,10,17) (4,11,18) (5,12,19) (6,13,20) (7,14,21) (22,29,36) (23,30,37) (24,31,38) (25,32,39) (26,33,40) (27,34,41) (28,35,42)

15.42-5.0.2-2-2-2-3.1.6
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,28) (2,27) (3,26) (4,25) (5,24) (6,23) (7,22) (8,42) (9,41) (10,40) (11,39) (12,38) (13,37) (14,36) (15,35) (16,34) (17,33) (18,32) (19,31) (20,30) (21,29)
  (1,35) (2,34) (3,33) (4,32) (5,31) (6,30) (7,29) (8,28) (9,27) (10,26) (11,25) (12,24) (13,23) (14,22) (15,42) (16,41) (17,40) (18,39) (19,38) (20,37) (21,36)
  (1,15,8) (2,16,9) (3,17,10) (4,18,11) (5,19,12) (6,20,13) (7,21,14) (22,36,29) (23,37,30) (24,38,31) (25,39,32) (26,40,33) (27,41,34) (28,42,35)

15.42-5.0.2-2-2-2-3.1.7
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,38) (2,37) (3,36) (4,42) (5,41) (6,40) (7,39) (8,31) (9,30) (10,29) (11,35) (12,34) (13,33) (14,32) (15,24) (16,23) (17,22) (18,28) (19,27) (20,26) (21,25)
  (1,24) (2,23) (3,22) (4,28) (5,27) (6,26) (7,25) (8,38) (9,37) (10,36) (11,42) (12,41) (13,40) (14,39) (15,31) (16,30) (17,29) (18,35) (19,34) (20,33) (21,32)
  (1,15,8) (2,16,9) (3,17,10) (4,18,11) (5,19,12) (6,20,13) (7,21,14) (22,36,29) (23,37,30) (24,38,31) (25,39,32) (26,40,33) (27,41,34) (28,42,35)

15.42-5.0.2-2-2-2-3.1.8
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,38) (2,37) (3,36) (4,42) (5,41) (6,40) (7,39) (8,31) (9,30) (10,29) (11,35) (12,34) (13,33) (14,32) (15,24) (16,23) (17,22) (18,28) (19,27) (20,26) (21,25)
  (1,31) (2,30) (3,29) (4,35) (5,34) (6,33) (7,32) (8,24) (9,23) (10,22) (11,28) (12,27) (13,26) (14,25) (15,38) (16,37) (17,36) (18,42) (19,41) (20,40) (21,39)
  (1,8,15) (2,9,16) (3,10,17) (4,11,18) (5,12,19) (6,13,20) (7,14,21) (22,29,36) (23,30,37) (24,31,38) (25,32,39) (26,33,40) (27,34,41) (28,35,42)

15.42-5.0.2-2-2-2-3.1.9
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,40) (2,39) (3,38) (4,37) (5,36) (6,42) (7,41) (8,33) (9,32) (10,31) (11,30) (12,29) (13,35) (14,34) (15,26) (16,25) (17,24) (18,23) (19,22) (20,28) (21,27)
  (1,26) (2,25) (3,24) (4,23) (5,22) (6,28) (7,27) (8,40) (9,39) (10,38) (11,37) (12,36) (13,42) (14,41) (15,33) (16,32) (17,31) (18,30) (19,29) (20,35) (21,34)
  (1,15,8) (2,16,9) (3,17,10) (4,18,11) (5,19,12) (6,20,13) (7,21,14) (22,36,29) (23,37,30) (24,38,31) (25,39,32) (26,40,33) (27,41,34) (28,42,35)

15.42-5.0.2-2-2-2-3.1.10
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,40) (2,39) (3,38) (4,37) (5,36) (6,42) (7,41) (8,33) (9,32) (10,31) (11,30) (12,29) (13,35) (14,34) (15,26) (16,25) (17,24) (18,23) (19,22) (20,28) (21,27)
  (1,33) (2,32) (3,31) (4,30) (5,29) (6,35) (7,34) (8,26) (9,25) (10,24) (11,23) (12,22) (13,28) (14,27) (15,40) (16,39) (17,38) (18,37) (19,36) (20,42) (21,41)
  (1,8,15) (2,9,16) (3,10,17) (4,11,18) (5,12,19) (6,13,20) (7,14,21) (22,29,36) (23,30,37) (24,31,38) (25,32,39) (26,33,40) (27,34,41) (28,35,42)

15.42-5.0.2-2-2-2-3.1.11
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,42) (2,41) (3,40) (4,39) (5,38) (6,37) (7,36) (8,35) (9,34) (10,33) (11,32) (12,31) (13,30) (14,29) (15,28) (16,27) (17,26) (18,25) (19,24) (20,23) (21,22)
  (1,28) (2,27) (3,26) (4,25) (5,24) (6,23) (7,22) (8,42) (9,41) (10,40) (11,39) (12,38) (13,37) (14,36) (15,35) (16,34) (17,33) (18,32) (19,31) (20,30) (21,29)
  (1,15,8) (2,16,9) (3,17,10) (4,18,11) (5,19,12) (6,20,13) (7,21,14) (22,36,29) (23,37,30) (24,38,31) (25,39,32) (26,40,33) (27,41,34) (28,42,35)

15.42-5.0.2-2-2-2-3.1.12
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,42) (2,41) (3,40) (4,39) (5,38) (6,37) (7,36) (8,35) (9,34) (10,33) (11,32) (12,31) (13,30) (14,29) (15,28) (16,27) (17,26) (18,25) (19,24) (20,23) (21,22)
  (1,35) (2,34) (3,33) (4,32) (5,31) (6,30) (7,29) (8,28) (9,27) (10,26) (11,25) (12,24) (13,23) (14,22) (15,42) (16,41) (17,40) (18,39) (19,38) (20,37) (21,36)
  (1,8,15) (2,9,16) (3,10,17) (4,11,18) (5,12,19) (6,13,20) (7,14,21) (22,29,36) (23,30,37) (24,31,38) (25,32,39) (26,33,40) (27,34,41) (28,35,42)

15.42-5.0.2-2-2-2-3.1.13
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,37) (2,36) (3,42) (4,41) (5,40) (6,39) (7,38) (8,30) (9,29) (10,35) (11,34) (12,33) (13,32) (14,31) (15,23) (16,22) (17,28) (18,27) (19,26) (20,25) (21,24)
  (1,23) (2,22) (3,28) (4,27) (5,26) (6,25) (7,24) (8,37) (9,36) (10,42) (11,41) (12,40) (13,39) (14,38) (15,30) (16,29) (17,35) (18,34) (19,33) (20,32) (21,31)
  (1,15,8) (2,16,9) (3,17,10) (4,18,11) (5,19,12) (6,20,13) (7,21,14) (22,36,29) (23,37,30) (24,38,31) (25,39,32) (26,40,33) (27,41,34) (28,42,35)

15.42-5.0.2-2-2-2-3.1.14
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,37) (2,36) (3,42) (4,41) (5,40) (6,39) (7,38) (8,30) (9,29) (10,35) (11,34) (12,33) (13,32) (14,31) (15,23) (16,22) (17,28) (18,27) (19,26) (20,25) (21,24)
  (1,30) (2,29) (3,35) (4,34) (5,33) (6,32) (7,31) (8,23) (9,22) (10,28) (11,27) (12,26) (13,25) (14,24) (15,37) (16,36) (17,42) (18,41) (19,40) (20,39) (21,38)
  (1,8,15) (2,9,16) (3,10,17) (4,11,18) (5,12,19) (6,13,20) (7,14,21) (22,29,36) (23,30,37) (24,31,38) (25,32,39) (26,33,40) (27,34,41) (28,35,42)

15.42-5.0.2-2-2-2-3.1.15
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,39) (2,38) (3,37) (4,36) (5,42) (6,41) (7,40) (8,32) (9,31) (10,30) (11,29) (12,35) (13,34) (14,33) (15,25) (16,24) (17,23) (18,22) (19,28) (20,27) (21,26)
  (1,25) (2,24) (3,23) (4,22) (5,28) (6,27) (7,26) (8,39) (9,38) (10,37) (11,36) (12,42) (13,41) (14,40) (15,32) (16,31) (17,30) (18,29) (19,35) (20,34) (21,33)
  (1,15,8) (2,16,9) (3,17,10) (4,18,11) (5,19,12) (6,20,13) (7,21,14) (22,36,29) (23,37,30) (24,38,31) (25,39,32) (26,40,33) (27,41,34) (28,42,35)

15.42-5.0.2-2-2-2-3.1.16
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,39) (2,38) (3,37) (4,36) (5,42) (6,41) (7,40) (8,32) (9,31) (10,30) (11,29) (12,35) (13,34) (14,33) (15,25) (16,24) (17,23) (18,22) (19,28) (20,27) (21,26)
  (1,32) (2,31) (3,30) (4,29) (5,35) (6,34) (7,33) (8,25) (9,24) (10,23) (11,22) (12,28) (13,27) (14,26) (15,39) (16,38) (17,37) (18,36) (19,42) (20,41) (21,40)
  (1,8,15) (2,9,16) (3,10,17) (4,11,18) (5,12,19) (6,13,20) (7,14,21) (22,29,36) (23,30,37) (24,31,38) (25,32,39) (26,33,40) (27,34,41) (28,35,42)

15.42-5.0.2-2-2-2-3.1.17
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,41) (2,40) (3,39) (4,38) (5,37) (6,36) (7,42) (8,34) (9,33) (10,32) (11,31) (12,30) (13,29) (14,35) (15,27) (16,26) (17,25) (18,24) (19,23) (20,22) (21,28)
  (1,27) (2,26) (3,25) (4,24) (5,23) (6,22) (7,28) (8,41) (9,40) (10,39) (11,38) (12,37) (13,36) (14,42) (15,34) (16,33) (17,32) (18,31) (19,30) (20,29) (21,35)
  (1,15,8) (2,16,9) (3,17,10) (4,18,11) (5,19,12) (6,20,13) (7,21,14) (22,36,29) (23,37,30) (24,38,31) (25,39,32) (26,40,33) (27,41,34) (28,42,35)

15.42-5.0.2-2-2-2-3.1.18
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,41) (2,40) (3,39) (4,38) (5,37) (6,36) (7,42) (8,34) (9,33) (10,32) (11,31) (12,30) (13,29) (14,35) (15,27) (16,26) (17,25) (18,24) (19,23) (20,22) (21,28)
  (1,34) (2,33) (3,32) (4,31) (5,30) (6,29) (7,35) (8,27) (9,26) (10,25) (11,24) (12,23) (13,22) (14,28) (15,41) (16,40) (17,39) (18,38) (19,37) (20,36) (21,42)
  (1,8,15) (2,9,16) (3,10,17) (4,11,18) (5,12,19) (6,13,20) (7,14,21) (22,29,36) (23,30,37) (24,31,38) (25,32,39) (26,33,40) (27,34,41) (28,35,42)

15.42-5.0.2-2-2-2-3.1.19
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,24) (2,23) (3,22) (4,28) (5,27) (6,26) (7,25) (8,38) (9,37) (10,36) (11,42) (12,41) (13,40) (14,39) (15,31) (16,30) (17,29) (18,35) (19,34) (20,33) (21,32)
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,41) (2,40) (3,39) (4,38) (5,37) (6,36) (7,42) (8,34) (9,33) (10,32) (11,31) (12,30) (13,29) (14,35) (15,27) (16,26) (17,25) (18,24) (19,23) (20,22) (21,28)
  (1,8,15) (2,9,16) (3,10,17) (4,11,18) (5,12,19) (6,13,20) (7,14,21) (22,29,36) (23,30,37) (24,31,38) (25,32,39) (26,33,40) (27,34,41) (28,35,42)

15.42-5.0.2-2-2-2-3.1.20
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,24) (2,23) (3,22) (4,28) (5,27) (6,26) (7,25) (8,38) (9,37) (10,36) (11,42) (12,41) (13,40) (14,39) (15,31) (16,30) (17,29) (18,35) (19,34) (20,33) (21,32)
  (1,22) (2,28) (3,27) (4,26) (5,25) (6,24) (7,23) (8,36) (9,42) (10,41) (11,40) (12,39) (13,38) (14,37) (15,29) (16,35) (17,34) (18,33) (19,32) (20,31) (21,30)
  (1,34) (2,33) (3,32) (4,31) (5,30) (6,29) (7,35) (8,27) (9,26) (10,25) (11,24) (12,23) (13,22) (14,28) (15,41) (16,40) (17,39) (18,38) (19,37) (20,36) (21,42)
  (1,15,8) (2,16,9) (3,17,10) (4,18,11) (5,19,12) (6,20,13) (7,21,14) (22,36,29) (23,37,30) (24,38,31) (25,39,32) (26,40,33) (27,41,34) (28,42,35)

Display number of generating vectors: