Family Information
Genus: | $13$ |
Quotient genus: | $0$ |
Group name: | $S_3\times A_4$ |
Group identifier: | $[72,44]$ |
Signature: | $[ 0; 3, 6, 6 ]$ |
Conjugacy classes for this refined passport: | $8, 11, 11$ |
The full automorphism group for this family is $A_4\times D_6$ with signature $[ 0; 2, 6, 6 ]$.
Jacobian variety group algebra decomposition: | $E\times E\times E^{2}\times E^{3}\times E^{6}$ |
Corresponding character(s): | $3, 5, 8, 10, 12$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
13.72-44.0.3-6-6.1.1
(1,14,27) (2,15,25) (3,13,26) (4,20,36) (5,21,34) (6,19,35) (7,23,30) (8,24,28) (9,22,29) (10,17,33) (11,18,31) (12,16,32) (37,50,63) (38,51,61) (39,49,62) (40,56,72) (41,57,70) (42,55,71) (43,59,66) (44,60,64) (45,58,65) (46,53,69) (47,54,67) (48,52,68) | |
(1,58,31,37,22,67) (2,60,32,39,23,69) (3,59,33,38,24,68) (4,52,28,40,16,64) (5,54,29,42,17,66) (6,53,30,41,18,65) (7,49,34,43,13,70) (8,51,35,45,14,72) (9,50,36,44,15,71) (10,55,25,46,19,61) (11,57,26,48,20,63) (12,56,27,47,21,62) | |
(1,54,34,39,16,72) (2,53,35,38,17,71) (3,52,36,37,18,70) (4,60,25,42,22,63) (5,59,26,41,23,62) (6,58,27,40,24,61) (7,57,31,45,19,69) (8,56,32,44,20,68) (9,55,33,43,21,67) (10,51,28,48,13,66) (11,50,29,47,14,65) (12,49,30,46,15,64) |