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: | $2, 26, 34$ |
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): | $3, 15, 18$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.98-3.0.2-7-14.15.1
| (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) | |
| (1,24,47,21,37,11,34) (2,25,48,15,38,12,35) (3,26,49,16,39,13,29) (4,27,43,17,40,14,30) (5,28,44,18,41,8,31) (6,22,45,19,42,9,32) (7,23,46,20,36,10,33) (50,73,96,70,86,60,83) (51,74,97,64,87,61,84) (52,75,98,65,88,62,78) (53,76,92,66,89,63,79) (54,77,93,67,90,57,80) (55,71,94,68,91,58,81) (56,72,95,69,85,59,82) | |
| (1,80,8,87,15,94,22,52,29,59,36,66,43,73) (2,79,9,86,16,93,23,51,30,58,37,65,44,72) (3,78,10,85,17,92,24,50,31,57,38,64,45,71) (4,84,11,91,18,98,25,56,32,63,39,70,46,77) (5,83,12,90,19,97,26,55,33,62,40,69,47,76) (6,82,13,89,20,96,27,54,34,61,41,68,48,75) (7,81,14,88,21,95,28,53,35,60,42,67,49,74) |