Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_7\times D_7$ |
| Group identifier: | $[98,3]$ |
| Signature: | $[ 0; 2, 7, 14 ]$ |
| Conjugacy classes for this refined passport: | $2, 17, 30$ |
The full automorphism group for this family is $C_7^2:S_3$ with signature $[ 0; 2, 3, 14 ]$.
| Jacobian variety group algebra decomposition: | $A_{3}\times A_{3}^{2}\times A_{3}^{2}$ |
| Corresponding character(s): | $3, 15, 20$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.98-3.0.2-7-14.6.1
| (1,50) (2,56) (3,55) (4,54) (5,53) (6,52) (7,51) (8,57) (9,63) (10,62) (11,61) (12,60) (13,59) (14,58) (15,64) (16,70) (17,69) (18,68) (19,67) (20,66) (21,65) (22,71) (23,77) (24,76) (25,75) (26,74) (27,73) (28,72) (29,78) (30,84) (31,83) (32,82) (33,81) (34,80) (35,79) (36,85) (37,91) (38,90) (39,89) (40,88) (41,87) (42,86) (43,92) (44,98) (45,97) (46,96) (47,95) (48,94) (49,93) | |
| (1,49,41,33,25,17,9) (2,43,42,34,26,18,10) (3,44,36,35,27,19,11) (4,45,37,29,28,20,12) (5,46,38,30,22,21,13) (6,47,39,31,23,15,14) (7,48,40,32,24,16,8) (50,98,90,82,74,66,58) (51,92,91,83,75,67,59) (52,93,85,84,76,68,60) (53,94,86,78,77,69,61) (54,95,87,79,71,70,62) (55,96,88,80,72,64,63) (56,97,89,81,73,65,57) | |
| (1,63,15,77,29,91,43,56,8,70,22,84,36,98) (2,62,16,76,30,90,44,55,9,69,23,83,37,97) (3,61,17,75,31,89,45,54,10,68,24,82,38,96) (4,60,18,74,32,88,46,53,11,67,25,81,39,95) (5,59,19,73,33,87,47,52,12,66,26,80,40,94) (6,58,20,72,34,86,48,51,13,65,27,79,41,93) (7,57,21,71,35,85,49,50,14,64,28,78,42,92) |