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: | $2, 29, 30$ |
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): | $3, 15, 18$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.98-3.0.2-7-14.18.1
| (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) | |
| (1,47,37,34,24,21,11) (2,48,38,35,25,15,12) (3,49,39,29,26,16,13) (4,43,40,30,27,17,14) (5,44,41,31,28,18,8) (6,45,42,32,22,19,9) (7,46,36,33,23,20,10) (50,96,86,83,73,70,60) (51,97,87,84,74,64,61) (52,98,88,78,75,65,62) (53,92,89,79,76,66,63) (54,93,90,80,77,67,57) (55,94,91,81,71,68,58) (56,95,85,82,72,69,59) | |
| (1,61,15,75,29,89,43,54,8,68,22,82,36,96) (2,60,16,74,30,88,44,53,9,67,23,81,37,95) (3,59,17,73,31,87,45,52,10,66,24,80,38,94) (4,58,18,72,32,86,46,51,11,65,25,79,39,93) (5,57,19,71,33,85,47,50,12,64,26,78,40,92) (6,63,20,77,34,91,48,56,13,70,27,84,41,98) (7,62,21,76,35,90,49,55,14,69,28,83,42,97) |