Family Information
| Genus: | $15$ |
| Quotient genus: | $0$ |
| Group name: | $\GL(3,2)$ |
| Group identifier: | $[168,42]$ |
| Signature: | $[ 0; 3, 4, 4 ]$ |
| Conjugacy classes for this refined passport: | $3, 4, 4$ |
The full automorphism group for this family is $\PGL(2,7)$ with signature $[ 0; 2, 4, 6 ]$.
| Jacobian variety group algebra decomposition: | $E^{7}\times E^{8}$ |
| Corresponding character(s): | $5, 6$ |
Generating vector(s)
Displaying 2 of 2 generating vectors for this refined passport.
15.168-42.0.3-4-4.1.1
| (1,2,3) (4,5,6) (7,77,105) (8,9,10) (11,12,13) (14,154,126) (15,16,17) (18,19,20) (21,91,161) (22,23,24) (25,26,27) (28,84,140) (29,30,31) (32,33,34) (35,147,49) (36,37,38) (39,40,41) (42,98,70) (43,44,45) (46,47,48) (50,51,52) (53,54,55) (56,112,168) (57,58,59) (60,61,62) (63,133,119) (64,65,66) (67,68,69) (71,72,73) (74,75,76) (78,79,80) (81,82,83) (85,86,87) (88,89,90) (92,93,94) (95,96,97) (99,100,101) (102,103,104) (106,107,108) (109,110,111) (113,114,115) (116,117,118) (120,121,122) (123,124,125) (127,128,129) (130,131,132) (134,135,136) (137,138,139) (141,142,143) (144,145,146) (148,149,150) (151,152,153) (155,156,157) (158,159,160) (162,163,164) (165,166,167) | |
| (1,122,85,38) (2,67,154,167) (3,134,59,155) (4,133,160,65) (5,152,47,110) (6,163,123,98) (7,34,107,130) (8,101,29,129) (9,60,77,139) (10,162,66,141) (11,42,146,58) (12,75,19,82) (13,135,102,119) (14,90,79,39) (15,136,36,108) (16,53,84,104) (17,113,45,92) (18,35,97,51) (20,100,137,168) (21,153,72,32) (22,157,148,31) (23,46,91,118) (24,99,52,120) (25,112,125,44) (26,89,68,131) (27,114,158,147) (28,41,128,109) (30,74,63,111) (33,61,40,54) (37,81,56,132) (43,164,127,80) (48,121,165,140) (49,76,149,88) (50,143,71,87) (55,93,144,161) (57,94,78,150) (62,142,95,126) (64,115,106,73) (69,156,116,105) (70,83,86,151) (96,159,103,166) (117,145,124,138) | |
| (1,37,131,67) (2,166,102,134) (3,157,24,122) (4,64,72,152) (5,109,127,163) (6,42,13,133) (7,132,168,139) (8,128,40,60) (9,138,123,162) (10,143,52,101) (11,57,149,75) (12,81,36,135) (14,41,140,167) (15,107,33,53) (16,103,158,113) (17,94,59,136) (18,50,86,82) (19,74,29,100) (20,112,27,35) (21,34,105,118) (22,30,110,46) (23,117,137,99) (25,43,79,89) (26,130,106,114) (28,111,119,104) (31,150,80,129) (32,71,142,61) (38,87,73,108) (39,78,93,54) (44,124,144,92) (45,115,66,164) (47,151,85,121) (48,84,55,91) (49,90,126,97) (51,96,165,120) (56,83,98,125) (58,145,116,155) (62,154,69,77) (63,76,147,160) (65,159,95,141) (68,88,148,156) (70,153,161,146) |
15.168-42.0.3-4-4.1.2
| (1,2,3) (4,5,6) (7,77,105) (8,9,10) (11,12,13) (14,154,126) (15,16,17) (18,19,20) (21,91,161) (22,23,24) (25,26,27) (28,84,140) (29,30,31) (32,33,34) (35,147,49) (36,37,38) (39,40,41) (42,98,70) (43,44,45) (46,47,48) (50,51,52) (53,54,55) (56,112,168) (57,58,59) (60,61,62) (63,133,119) (64,65,66) (67,68,69) (71,72,73) (74,75,76) (78,79,80) (81,82,83) (85,86,87) (88,89,90) (92,93,94) (95,96,97) (99,100,101) (102,103,104) (106,107,108) (109,110,111) (113,114,115) (116,117,118) (120,121,122) (123,124,125) (127,128,129) (130,131,132) (134,135,136) (137,138,139) (141,142,143) (144,145,146) (148,149,150) (151,152,153) (155,156,157) (158,159,160) (162,163,164) (165,166,167) | |
| (1,165,104,136) (2,156,23,121) (3,36,130,69) (4,111,129,162) (5,70,12,63) (6,66,71,151) (7,61,14,68) (8,137,125,164) (9,142,51,100) (10,127,39,62) (11,83,38,134) (13,59,148,74) (15,102,160,115) (16,93,58,135) (17,106,32,55) (18,76,31,99) (19,56,26,49) (20,52,85,81) (21,47,28,54) (22,116,139,101) (24,29,109,48) (25,132,108,113) (27,45,78,88) (30,149,79,128) (33,77,117,161) (34,73,141,60) (35,159,119,75) (37,86,72,107) (40,84,166,126) (41,80,92,53) (42,124,168,82) (43,123,146,94) (44,114,65,163) (46,153,87,120) (50,95,167,122) (57,144,118,157) (64,158,97,143) (67,90,150,155) (89,154,96,147) (91,145,98,152) (103,140,110,133) (105,131,112,138) | |
| (1,135,57,156) (2,120,86,36) (3,68,126,165) (4,164,124,70) (5,119,158,66) (6,153,48,111) (7,67,157,117) (8,163,64,142) (9,99,30,127) (10,61,105,137) (11,136,103,63) (12,98,144,59) (13,76,20,83) (14,60,143,96) (15,114,43,93) (16,134,37,106) (17,54,140,102) (18,101,138,56) (19,147,95,52) (21,53,94,145) (22,100,50,121) (23,155,149,29) (24,47,161,116) (25,115,159,49) (26,168,123,45) (27,90,69,132) (28,46,122,166) (31,75,133,109) (32,108,131,77) (33,91,151,73) (34,62,41,55) (35,74,150,89) (38,82,112,130) (39,129,110,84) (40,154,88,80) (42,81,87,152) (44,162,128,78) (51,141,72,85) (58,92,79,148) (65,113,107,71) (97,160,104,167) (118,146,125,139) |