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: | $2, 3, 4$ |
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.
6.75-2.0.3-3-5.1.1
| (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) | |
| (1,73,47) (2,69,30) (3,65,33) (4,56,36) (5,52,44) (6,61,29) (7,57,32) (8,53,40) (9,74,43) (10,70,46) (11,54,31) (12,75,39) (13,66,42) (14,62,50) (15,58,28) (16,67,38) (17,63,41) (18,59,49) (19,55,27) (20,71,35) (21,60,45) (22,51,48) (23,72,26) (24,68,34) (25,64,37) | |
| (1,9,12,20,23) (2,10,13,16,24) (3,6,14,17,25) (4,7,15,18,21) (5,8,11,19,22) (26,34,37,45,48) (27,35,38,41,49) (28,31,39,42,50) (29,32,40,43,46) (30,33,36,44,47) (51,59,62,70,73) (52,60,63,66,74) (53,56,64,67,75) (54,57,65,68,71) (55,58,61,69,72) |