Family Information
Genus: | $10$ |
Quotient genus: | $0$ |
Group name: | $\He_3:C_3$ |
Group identifier: | $[81,9]$ |
Signature: | $[ 0; 3, 3, 9 ]$ |
Conjugacy classes for this refined passport: | $9, 10, 17$ |
The full automorphism group for this family is $\He_3.C_6$ with signature $[ 0; 2, 3, 18 ]$.
Jacobian variety group algebra decomposition: | $E\times A_{3}^{3}$ |
Corresponding character(s): | $2, 12$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
10.81-9.0.3-3-9.18.1
(1,76,37) (2,77,38) (3,78,39) (4,81,41) (5,79,42) (6,80,40) (7,74,45) (8,75,43) (9,73,44) (10,55,49) (11,56,50) (12,57,51) (13,60,53) (14,58,54) (15,59,52) (16,62,48) (17,63,46) (18,61,47) (19,71,36) (20,72,34) (21,70,35) (22,64,28) (23,65,29) (24,66,30) (25,69,32) (26,67,33) (27,68,31) | |
(1,46,72) (2,47,70) (3,48,71) (4,50,65) (5,51,66) (6,49,64) (7,54,67) (8,52,68) (9,53,69) (10,33,76) (11,31,77) (12,32,78) (13,34,81) (14,35,79) (15,36,80) (16,29,74) (17,30,75) (18,28,73) (19,45,55) (20,43,56) (21,44,57) (22,37,60) (23,38,58) (24,39,59) (25,41,62) (26,42,63) (27,40,61) | |
(1,20,11,2,21,12,3,19,10) (4,23,14,5,24,15,6,22,13) (7,26,17,8,27,18,9,25,16) (28,47,38,29,48,39,30,46,37) (31,50,41,32,51,42,33,49,40) (34,53,44,35,54,45,36,52,43) (55,74,65,56,75,66,57,73,64) (58,77,68,59,78,69,60,76,67) (61,80,71,62,81,72,63,79,70) |