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: | $2, 23, 30$ |
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): | $3, 18, 20$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.98-3.0.2-7-14.12.1
| (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) | |
| (1,48,39,30,28,19,10) (2,49,40,31,22,20,11) (3,43,41,32,23,21,12) (4,44,42,33,24,15,13) (5,45,36,34,25,16,14) (6,46,37,35,26,17,8) (7,47,38,29,27,18,9) (50,97,88,79,77,68,59) (51,98,89,80,71,69,60) (52,92,90,81,72,70,61) (53,93,91,82,73,64,62) (54,94,85,83,74,65,63) (55,95,86,84,75,66,57) (56,96,87,78,76,67,58) | |
| (1,62,15,76,29,90,43,55,8,69,22,83,36,97) (2,61,16,75,30,89,44,54,9,68,23,82,37,96) (3,60,17,74,31,88,45,53,10,67,24,81,38,95) (4,59,18,73,32,87,46,52,11,66,25,80,39,94) (5,58,19,72,33,86,47,51,12,65,26,79,40,93) (6,57,20,71,34,85,48,50,13,64,27,78,41,92) (7,63,21,77,35,91,49,56,14,70,28,84,42,98) |