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: | $2, 20, 34$ |
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.
15.98-3.0.2-7-14.9.1
| (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) | |
| (1,28,48,19,39,10,30) (2,22,49,20,40,11,31) (3,23,43,21,41,12,32) (4,24,44,15,42,13,33) (5,25,45,16,36,14,34) (6,26,46,17,37,8,35) (7,27,47,18,38,9,29) (50,77,97,68,88,59,79) (51,71,98,69,89,60,80) (52,72,92,70,90,61,81) (53,73,93,64,91,62,82) (54,74,94,65,85,63,83) (55,75,95,66,86,57,84) (56,76,96,67,87,58,78) | |
| (1,84,8,91,15,98,22,56,29,63,36,70,43,77) (2,83,9,90,16,97,23,55,30,62,37,69,44,76) (3,82,10,89,17,96,24,54,31,61,38,68,45,75) (4,81,11,88,18,95,25,53,32,60,39,67,46,74) (5,80,12,87,19,94,26,52,33,59,40,66,47,73) (6,79,13,86,20,93,27,51,34,58,41,65,48,72) (7,78,14,85,21,92,28,50,35,57,42,64,49,71) |