Properties

Label 13.96-200.0.2-6-12.7
Genus \(13\)
Quotient genus \(0\)
Group \(\SL(2,3):C_2^2\)
Signature \([ 0; 2, 6, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $13$
Quotient genus: $0$
Group name: $\SL(2,3):C_2^2$
Group identifier: $[96,200]$
Signature: $[ 0; 2, 6, 12 ]$
Conjugacy classes for this refined passport: $5, 20, 25$

Jacobian variety group algebra decomposition:$E\times E\times E^{2}\times E^{2}\times A_{2}^{2}\times E^{3}$
Corresponding character(s): $5, 8, 13, 14, 17, 26$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.96-200.0.2-6-12.7.1

  (1,27) (2,28) (3,26) (4,25) (5,31) (6,32) (7,30) (8,29) (9,35) (10,36) (11,34) (12,33) (13,39) (14,40) (15,38) (16,37) (17,43) (18,44) (19,42) (20,41) (21,47) (22,48) (23,46) (24,45) (49,75) (50,76) (51,74) (52,73) (53,79) (54,80) (55,78) (56,77) (57,83) (58,84) (59,82) (60,81) (61,87) (62,88) (63,86) (64,85) (65,91) (66,92) (67,90) (68,89) (69,95) (70,96) (71,94) (72,93)
  (1,67,15,50,20,64) (2,68,16,49,19,63) (3,71,10,52,24,57) (4,72,9,51,23,58) (5,70,13,54,21,62) (6,69,14,53,22,61) (7,66,12,56,17,59) (8,65,11,55,18,60) (25,91,39,74,44,88) (26,92,40,73,43,87) (27,95,34,76,48,81) (28,96,33,75,47,82) (29,94,37,78,45,86) (30,93,38,77,46,85) (31,90,36,80,41,83) (32,89,35,79,42,84)
  (1,85,23,74,13,96,2,86,24,73,14,95) (3,83,20,76,11,91,4,84,19,75,12,92) (5,88,18,78,16,89,6,87,17,77,15,90) (7,82,21,80,10,94,8,81,22,79,9,93) (25,62,47,49,37,71,26,61,48,50,38,72) (27,60,44,51,35,68,28,59,43,52,36,67) (29,63,42,53,40,66,30,64,41,54,39,65) (31,57,45,55,34,69,32,58,46,56,33,70)