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: | $2, 27, 31$ |
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): | $3, 15, 18$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
15.98-3.0.2-7-14.16.1
| (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) | |
| (1,34,11,37,21,47,24) (2,35,12,38,15,48,25) (3,29,13,39,16,49,26) (4,30,14,40,17,43,27) (5,31,8,41,18,44,28) (6,32,9,42,19,45,22) (7,33,10,36,20,46,23) (50,83,60,86,70,96,73) (51,84,61,87,64,97,74) (52,78,62,88,65,98,75) (53,79,63,89,66,92,76) (54,80,57,90,67,93,77) (55,81,58,91,68,94,71) (56,82,59,85,69,95,72) | |
| (1,76,43,69,36,62,29,55,22,97,15,90,8,83) (2,75,44,68,37,61,30,54,23,96,16,89,9,82) (3,74,45,67,38,60,31,53,24,95,17,88,10,81) (4,73,46,66,39,59,32,52,25,94,18,87,11,80) (5,72,47,65,40,58,33,51,26,93,19,86,12,79) (6,71,48,64,41,57,34,50,27,92,20,85,13,78) (7,77,49,70,42,63,35,56,28,98,21,91,14,84) |