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: | $2, 21, 31$ |
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): | $3, 18, 20$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.98-3.0.2-7-14.10.1
| (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) | |
| (1,30,10,39,19,48,28) (2,31,11,40,20,49,22) (3,32,12,41,21,43,23) (4,33,13,42,15,44,24) (5,34,14,36,16,45,25) (6,35,8,37,17,46,26) (7,29,9,38,18,47,27) (50,79,59,88,68,97,77) (51,80,60,89,69,98,71) (52,81,61,90,70,92,72) (53,82,62,91,64,93,73) (54,83,63,85,65,94,74) (55,84,57,86,66,95,75) (56,78,58,87,67,96,76) | |
| (1,72,43,65,36,58,29,51,22,93,15,86,8,79) (2,71,44,64,37,57,30,50,23,92,16,85,9,78) (3,77,45,70,38,63,31,56,24,98,17,91,10,84) (4,76,46,69,39,62,32,55,25,97,18,90,11,83) (5,75,47,68,40,61,33,54,26,96,19,89,12,82) (6,74,48,67,41,60,34,53,27,95,20,88,13,81) (7,73,49,66,42,59,35,52,28,94,21,87,14,80) |