Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $C_7:\SL(2,3)$ |
| Group identifier: | $[168,23]$ |
| Signature: | $[ 0; 3, 3, 6 ]$ |
| Conjugacy classes for this refined passport: | $3, 3, 6$ |
The full automorphism group for this family is $Q_8.F_7$ with signature $[ 0; 2, 3, 12 ]$.
| Jacobian variety group algebra decomposition: | $E\times A_{2}\times A_{4}^{3}$ |
| Corresponding character(s): | $2, 4, 16$ |
Generating vector(s)
Displaying 6 of 6 generating vectors for this refined passport.
15.168-23.0.3-3-6.1.1
| (1,57,113) (2,58,114) (3,61,121) (4,62,122) (5,65,115) (6,66,116) (7,69,123) (8,70,124) (9,59,117) (10,60,118) (11,63,125) (12,64,126) (13,67,119) (14,68,120) (15,99,141) (16,100,142) (17,103,149) (18,104,150) (19,107,143) (20,108,144) (21,111,151) (22,112,152) (23,101,145) (24,102,146) (25,105,153) (26,106,154) (27,109,147) (28,110,148) (29,71,155) (30,72,156) (31,75,163) (32,76,164) (33,79,157) (34,80,158) (35,83,165) (36,84,166) (37,73,159) (38,74,160) (39,77,167) (40,78,168) (41,81,161) (42,82,162) (43,85,127) (44,86,128) (45,89,135) (46,90,136) (47,93,129) (48,94,130) (49,97,137) (50,98,138) (51,87,131) (52,88,132) (53,91,139) (54,92,140) (55,95,133) (56,96,134) | |
| (1,97,164) (2,98,163) (3,87,158) (4,88,157) (5,91,166) (6,92,165) (7,95,160) (8,96,159) (9,85,168) (10,86,167) (11,89,162) (12,90,161) (13,93,156) (14,94,155) (15,83,135) (16,84,136) (17,73,129) (18,74,130) (19,77,137) (20,78,138) (21,81,131) (22,82,132) (23,71,139) (24,72,140) (25,75,133) (26,76,134) (27,79,127) (28,80,128) (29,112,121) (30,111,122) (31,102,115) (32,101,116) (33,106,123) (34,105,124) (35,110,117) (36,109,118) (37,100,125) (38,99,126) (39,104,119) (40,103,120) (41,108,113) (42,107,114) (43,70,150) (44,69,149) (45,60,144) (46,59,143) (47,64,152) (48,63,151) (49,68,146) (50,67,145) (51,58,154) (52,57,153) (53,62,148) (54,61,147) (55,66,142) (56,65,141) | |
| (1,76,154,2,75,153) (3,80,148,4,79,147) (5,84,142,6,83,141) (7,74,150,8,73,149) (9,78,144,10,77,143) (11,82,152,12,81,151) (13,72,146,14,71,145) (15,89,125,16,90,126) (17,93,119,18,94,120) (19,97,113,20,98,114) (21,87,121,22,88,122) (23,91,115,24,92,116) (25,95,123,26,96,124) (27,85,117,28,86,118) (29,61,140,30,62,139) (31,65,134,32,66,133) (33,69,128,34,70,127) (35,59,136,36,60,135) (37,63,130,38,64,129) (39,67,138,40,68,137) (41,57,132,42,58,131) (43,104,167,44,103,168) (45,108,161,46,107,162) (47,112,155,48,111,156) (49,102,163,50,101,164) (51,106,157,52,105,158) (53,110,165,54,109,166) (55,100,159,56,99,160) |
15.168-23.0.3-3-6.1.2
| (1,57,113) (2,58,114) (3,61,121) (4,62,122) (5,65,115) (6,66,116) (7,69,123) (8,70,124) (9,59,117) (10,60,118) (11,63,125) (12,64,126) (13,67,119) (14,68,120) (15,99,141) (16,100,142) (17,103,149) (18,104,150) (19,107,143) (20,108,144) (21,111,151) (22,112,152) (23,101,145) (24,102,146) (25,105,153) (26,106,154) (27,109,147) (28,110,148) (29,71,155) (30,72,156) (31,75,163) (32,76,164) (33,79,157) (34,80,158) (35,83,165) (36,84,166) (37,73,159) (38,74,160) (39,77,167) (40,78,168) (41,81,161) (42,82,162) (43,85,127) (44,86,128) (45,89,135) (46,90,136) (47,93,129) (48,94,130) (49,97,137) (50,98,138) (51,87,131) (52,88,132) (53,91,139) (54,92,140) (55,95,133) (56,96,134) | |
| (1,95,158) (2,96,157) (3,85,166) (4,86,165) (5,89,160) (6,90,159) (7,93,168) (8,94,167) (9,97,162) (10,98,161) (11,87,156) (12,88,155) (13,91,164) (14,92,163) (15,81,129) (16,82,130) (17,71,137) (18,72,138) (19,75,131) (20,76,132) (21,79,139) (22,80,140) (23,83,133) (24,84,134) (25,73,127) (26,74,128) (27,77,135) (28,78,136) (29,110,115) (30,109,116) (31,100,123) (32,99,124) (33,104,117) (34,103,118) (35,108,125) (36,107,126) (37,112,119) (38,111,120) (39,102,113) (40,101,114) (41,106,121) (42,105,122) (43,68,144) (44,67,143) (45,58,152) (46,57,151) (47,62,146) (48,61,145) (49,66,154) (50,65,153) (51,70,148) (52,69,147) (53,60,142) (54,59,141) (55,64,150) (56,63,149) | |
| (1,80,152,2,79,151) (3,84,146,4,83,145) (5,74,154,6,73,153) (7,78,148,8,77,147) (9,82,142,10,81,141) (11,72,150,12,71,149) (13,76,144,14,75,143) (15,93,123,16,94,124) (17,97,117,18,98,118) (19,87,125,20,88,126) (21,91,119,22,92,120) (23,95,113,24,96,114) (25,85,121,26,86,122) (27,89,115,28,90,116) (29,65,138,30,66,137) (31,69,132,32,70,131) (33,59,140,34,60,139) (35,63,134,36,64,133) (37,67,128,38,68,127) (39,57,136,40,58,135) (41,61,130,42,62,129) (43,108,165,44,107,166) (45,112,159,46,111,160) (47,102,167,48,101,168) (49,106,161,50,105,162) (51,110,155,52,109,156) (53,100,163,54,99,164) (55,104,157,56,103,158) |
15.168-23.0.3-3-6.1.3
| (1,57,113) (2,58,114) (3,61,121) (4,62,122) (5,65,115) (6,66,116) (7,69,123) (8,70,124) (9,59,117) (10,60,118) (11,63,125) (12,64,126) (13,67,119) (14,68,120) (15,99,141) (16,100,142) (17,103,149) (18,104,150) (19,107,143) (20,108,144) (21,111,151) (22,112,152) (23,101,145) (24,102,146) (25,105,153) (26,106,154) (27,109,147) (28,110,148) (29,71,155) (30,72,156) (31,75,163) (32,76,164) (33,79,157) (34,80,158) (35,83,165) (36,84,166) (37,73,159) (38,74,160) (39,77,167) (40,78,168) (41,81,161) (42,82,162) (43,85,127) (44,86,128) (45,89,135) (46,90,136) (47,93,129) (48,94,130) (49,97,137) (50,98,138) (51,87,131) (52,88,132) (53,91,139) (54,92,140) (55,95,133) (56,96,134) | |
| (1,93,166) (2,94,165) (3,97,160) (4,98,159) (5,87,168) (6,88,167) (7,91,162) (8,92,161) (9,95,156) (10,96,155) (11,85,164) (12,86,163) (13,89,158) (14,90,157) (15,79,137) (16,80,138) (17,83,131) (18,84,132) (19,73,139) (20,74,140) (21,77,133) (22,78,134) (23,81,127) (24,82,128) (25,71,135) (26,72,136) (27,75,129) (28,76,130) (29,108,123) (30,107,124) (31,112,117) (32,111,118) (33,102,125) (34,101,126) (35,106,119) (36,105,120) (37,110,113) (38,109,114) (39,100,121) (40,99,122) (41,104,115) (42,103,116) (43,66,152) (44,65,151) (45,70,146) (46,69,145) (47,60,154) (48,59,153) (49,64,148) (50,63,147) (51,68,142) (52,67,141) (53,58,150) (54,57,149) (55,62,144) (56,61,143) | |
| (1,84,150,2,83,149) (3,74,144,4,73,143) (5,78,152,6,77,151) (7,82,146,8,81,145) (9,72,154,10,71,153) (11,76,148,12,75,147) (13,80,142,14,79,141) (15,97,121,16,98,122) (17,87,115,18,88,116) (19,91,123,20,92,124) (21,95,117,22,96,118) (23,85,125,24,86,126) (25,89,119,26,90,120) (27,93,113,28,94,114) (29,69,136,30,70,135) (31,59,130,32,60,129) (33,63,138,34,64,137) (35,67,132,36,68,131) (37,57,140,38,58,139) (39,61,134,40,62,133) (41,65,128,42,66,127) (43,112,163,44,111,164) (45,102,157,46,101,158) (47,106,165,48,105,166) (49,110,159,50,109,160) (51,100,167,52,99,168) (53,104,161,54,103,162) (55,108,155,56,107,156) |
15.168-23.0.3-3-6.1.4
| (1,57,113) (2,58,114) (3,61,121) (4,62,122) (5,65,115) (6,66,116) (7,69,123) (8,70,124) (9,59,117) (10,60,118) (11,63,125) (12,64,126) (13,67,119) (14,68,120) (15,99,141) (16,100,142) (17,103,149) (18,104,150) (19,107,143) (20,108,144) (21,111,151) (22,112,152) (23,101,145) (24,102,146) (25,105,153) (26,106,154) (27,109,147) (28,110,148) (29,71,155) (30,72,156) (31,75,163) (32,76,164) (33,79,157) (34,80,158) (35,83,165) (36,84,166) (37,73,159) (38,74,160) (39,77,167) (40,78,168) (41,81,161) (42,82,162) (43,85,127) (44,86,128) (45,89,135) (46,90,136) (47,93,129) (48,94,130) (49,97,137) (50,98,138) (51,87,131) (52,88,132) (53,91,139) (54,92,140) (55,95,133) (56,96,134) | |
| (1,91,160) (2,92,159) (3,95,168) (4,96,167) (5,85,162) (6,86,161) (7,89,156) (8,90,155) (9,93,164) (10,94,163) (11,97,158) (12,98,157) (13,87,166) (14,88,165) (15,77,131) (16,78,132) (17,81,139) (18,82,140) (19,71,133) (20,72,134) (21,75,127) (22,76,128) (23,79,135) (24,80,136) (25,83,129) (26,84,130) (27,73,137) (28,74,138) (29,106,117) (30,105,118) (31,110,125) (32,109,126) (33,100,119) (34,99,120) (35,104,113) (36,103,114) (37,108,121) (38,107,122) (39,112,115) (40,111,116) (41,102,123) (42,101,124) (43,64,146) (44,63,145) (45,68,154) (46,67,153) (47,58,148) (48,57,147) (49,62,142) (50,61,141) (51,66,150) (52,65,149) (53,70,144) (54,69,143) (55,60,152) (56,59,151) | |
| (1,74,148,2,73,147) (3,78,142,4,77,141) (5,82,150,6,81,149) (7,72,144,8,71,143) (9,76,152,10,75,151) (11,80,146,12,79,145) (13,84,154,14,83,153) (15,87,119,16,88,120) (17,91,113,18,92,114) (19,95,121,20,96,122) (21,85,115,22,86,116) (23,89,123,24,90,124) (25,93,117,26,94,118) (27,97,125,28,98,126) (29,59,134,30,60,133) (31,63,128,32,64,127) (33,67,136,34,68,135) (35,57,130,36,58,129) (37,61,138,38,62,137) (39,65,132,40,66,131) (41,69,140,42,70,139) (43,102,161,44,101,162) (45,106,155,46,105,156) (47,110,163,48,109,164) (49,100,157,50,99,158) (51,104,165,52,103,166) (53,108,159,54,107,160) (55,112,167,56,111,168) |
15.168-23.0.3-3-6.1.5
| (1,57,113) (2,58,114) (3,61,121) (4,62,122) (5,65,115) (6,66,116) (7,69,123) (8,70,124) (9,59,117) (10,60,118) (11,63,125) (12,64,126) (13,67,119) (14,68,120) (15,99,141) (16,100,142) (17,103,149) (18,104,150) (19,107,143) (20,108,144) (21,111,151) (22,112,152) (23,101,145) (24,102,146) (25,105,153) (26,106,154) (27,109,147) (28,110,148) (29,71,155) (30,72,156) (31,75,163) (32,76,164) (33,79,157) (34,80,158) (35,83,165) (36,84,166) (37,73,159) (38,74,160) (39,77,167) (40,78,168) (41,81,161) (42,82,162) (43,85,127) (44,86,128) (45,89,135) (46,90,136) (47,93,129) (48,94,130) (49,97,137) (50,98,138) (51,87,131) (52,88,132) (53,91,139) (54,92,140) (55,95,133) (56,96,134) | |
| (1,89,168) (2,90,167) (3,93,162) (4,94,161) (5,97,156) (6,98,155) (7,87,164) (8,88,163) (9,91,158) (10,92,157) (11,95,166) (12,96,165) (13,85,160) (14,86,159) (15,75,139) (16,76,140) (17,79,133) (18,80,134) (19,83,127) (20,84,128) (21,73,135) (22,74,136) (23,77,129) (24,78,130) (25,81,137) (26,82,138) (27,71,131) (28,72,132) (29,104,125) (30,103,126) (31,108,119) (32,107,120) (33,112,113) (34,111,114) (35,102,121) (36,101,122) (37,106,115) (38,105,116) (39,110,123) (40,109,124) (41,100,117) (42,99,118) (43,62,154) (44,61,153) (45,66,148) (46,65,147) (47,70,142) (48,69,141) (49,60,150) (50,59,149) (51,64,144) (52,63,143) (53,68,152) (54,67,151) (55,58,146) (56,57,145) | |
| (1,78,146,2,77,145) (3,82,154,4,81,153) (5,72,148,6,71,147) (7,76,142,8,75,141) (9,80,150,10,79,149) (11,84,144,12,83,143) (13,74,152,14,73,151) (15,91,117,16,92,118) (17,95,125,18,96,126) (19,85,119,20,86,120) (21,89,113,22,90,114) (23,93,121,24,94,122) (25,97,115,26,98,116) (27,87,123,28,88,124) (29,63,132,30,64,131) (31,67,140,32,68,139) (33,57,134,34,58,133) (35,61,128,36,62,127) (37,65,136,38,66,135) (39,69,130,40,70,129) (41,59,138,42,60,137) (43,106,159,44,105,160) (45,110,167,46,109,168) (47,100,161,48,99,162) (49,104,155,50,103,156) (51,108,163,52,107,164) (53,112,157,54,111,158) (55,102,165,56,101,166) |
15.168-23.0.3-3-6.1.6
| (1,57,113) (2,58,114) (3,61,121) (4,62,122) (5,65,115) (6,66,116) (7,69,123) (8,70,124) (9,59,117) (10,60,118) (11,63,125) (12,64,126) (13,67,119) (14,68,120) (15,99,141) (16,100,142) (17,103,149) (18,104,150) (19,107,143) (20,108,144) (21,111,151) (22,112,152) (23,101,145) (24,102,146) (25,105,153) (26,106,154) (27,109,147) (28,110,148) (29,71,155) (30,72,156) (31,75,163) (32,76,164) (33,79,157) (34,80,158) (35,83,165) (36,84,166) (37,73,159) (38,74,160) (39,77,167) (40,78,168) (41,81,161) (42,82,162) (43,85,127) (44,86,128) (45,89,135) (46,90,136) (47,93,129) (48,94,130) (49,97,137) (50,98,138) (51,87,131) (52,88,132) (53,91,139) (54,92,140) (55,95,133) (56,96,134) | |
| (1,87,162) (2,88,161) (3,91,156) (4,92,155) (5,95,164) (6,96,163) (7,85,158) (8,86,157) (9,89,166) (10,90,165) (11,93,160) (12,94,159) (13,97,168) (14,98,167) (15,73,133) (16,74,134) (17,77,127) (18,78,128) (19,81,135) (20,82,136) (21,71,129) (22,72,130) (23,75,137) (24,76,138) (25,79,131) (26,80,132) (27,83,139) (28,84,140) (29,102,119) (30,101,120) (31,106,113) (32,105,114) (33,110,121) (34,109,122) (35,100,115) (36,99,116) (37,104,123) (38,103,124) (39,108,117) (40,107,118) (41,112,125) (42,111,126) (43,60,148) (44,59,147) (45,64,142) (46,63,141) (47,68,150) (48,67,149) (49,58,144) (50,57,143) (51,62,152) (52,61,151) (53,66,146) (54,65,145) (55,70,154) (56,69,153) | |
| (1,82,144,2,81,143) (3,72,152,4,71,151) (5,76,146,6,75,145) (7,80,154,8,79,153) (9,84,148,10,83,147) (11,74,142,12,73,141) (13,78,150,14,77,149) (15,95,115,16,96,116) (17,85,123,18,86,124) (19,89,117,20,90,118) (21,93,125,22,94,126) (23,97,119,24,98,120) (25,87,113,26,88,114) (27,91,121,28,92,122) (29,67,130,30,68,129) (31,57,138,32,58,137) (33,61,132,34,62,131) (35,65,140,36,66,139) (37,69,134,38,70,133) (39,59,128,40,60,127) (41,63,136,42,64,135) (43,110,157,44,109,158) (45,100,165,46,99,166) (47,104,159,48,103,160) (49,108,167,50,107,168) (51,112,161,52,111,162) (53,102,155,54,101,156) (55,106,163,56,105,164) |