Family Information
| Genus: | $6$ |
| Quotient genus: | $0$ |
| Group name: | $C_5^2:C_3$ |
| Group identifier: | $[75,2]$ |
| Signature: | $[ 0; 3, 3, 5 ]$ |
| Conjugacy classes for this refined passport: | $2, 3, 5$ |
The full automorphism group for this family is $C_5^2:S_3$ with signature $[ 0; 2, 3, 10 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}^{3}$ |
| Corresponding character(s): | $4$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
6.75-2.0.3-3-5.2.1
| (1,26,51) (2,34,72) (3,37,68) (4,45,64) (5,48,60) (6,33,69) (7,36,65) (8,44,56) (9,47,52) (10,30,73) (11,40,57) (12,43,53) (13,46,74) (14,29,70) (15,32,61) (16,42,75) (17,50,66) (18,28,62) (19,31,58) (20,39,54) (21,49,63) (22,27,59) (23,35,55) (24,38,71) (25,41,67) | |
| (1,70,43) (2,61,46) (3,57,29) (4,53,32) (5,74,40) (6,58,50) (7,54,28) (8,75,31) (9,66,39) (10,62,42) (11,71,27) (12,67,35) (13,63,38) (14,59,41) (15,55,49) (16,64,34) (17,60,37) (18,51,45) (19,72,48) (20,68,26) (21,52,36) (22,73,44) (23,69,47) (24,65,30) (25,56,33) | |
| (1,12,23,9,20) (2,13,24,10,16) (3,14,25,6,17) (4,15,21,7,18) (5,11,22,8,19) (26,37,48,34,45) (27,38,49,35,41) (28,39,50,31,42) (29,40,46,32,43) (30,36,47,33,44) (51,62,73,59,70) (52,63,74,60,66) (53,64,75,56,67) (54,65,71,57,68) (55,61,72,58,69) |