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: | $2, 16, 33$ |
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.
15.98-3.0.2-7-14.5.1
| (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) | |
| (1,41,25,9,49,33,17) (2,42,26,10,43,34,18) (3,36,27,11,44,35,19) (4,37,28,12,45,29,20) (5,38,22,13,46,30,21) (6,39,23,14,47,31,15) (7,40,24,8,48,32,16) (50,90,74,58,98,82,66) (51,91,75,59,92,83,67) (52,85,76,60,93,84,68) (53,86,77,61,94,78,69) (54,87,71,62,95,79,70) (55,88,72,63,96,80,64) (56,89,73,57,97,81,65) | |
| (1,69,29,97,8,76,36,55,15,83,43,62,22,90) (2,68,30,96,9,75,37,54,16,82,44,61,23,89) (3,67,31,95,10,74,38,53,17,81,45,60,24,88) (4,66,32,94,11,73,39,52,18,80,46,59,25,87) (5,65,33,93,12,72,40,51,19,79,47,58,26,86) (6,64,34,92,13,71,41,50,20,78,48,57,27,85) (7,70,35,98,14,77,42,56,21,84,49,63,28,91) |