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: | $2, 15, 31$ |
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.
15.98-3.0.2-7-14.4.1
| (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) | |
| (1,33,9,41,17,49,25) (2,34,10,42,18,43,26) (3,35,11,36,19,44,27) (4,29,12,37,20,45,28) (5,30,13,38,21,46,22) (6,31,14,39,15,47,23) (7,32,8,40,16,48,24) (50,82,58,90,66,98,74) (51,83,59,91,67,92,75) (52,84,60,85,68,93,76) (53,78,61,86,69,94,77) (54,79,62,87,70,95,71) (55,80,63,88,64,96,72) (56,81,57,89,65,97,73) | |
| (1,75,43,68,36,61,29,54,22,96,15,89,8,82) (2,74,44,67,37,60,30,53,23,95,16,88,9,81) (3,73,45,66,38,59,31,52,24,94,17,87,10,80) (4,72,46,65,39,58,32,51,25,93,18,86,11,79) (5,71,47,64,40,57,33,50,26,92,19,85,12,78) (6,77,48,70,41,63,34,56,27,98,20,91,13,84) (7,76,49,69,42,62,35,55,28,97,21,90,14,83) |