Family Information
| Genus: | $9$ |
| Quotient genus: | $0$ |
| Group name: | $C_2.C_2^4:C_5$ |
| Group identifier: | $[160,199]$ |
| Signature: | $[ 0; 2, 5, 5 ]$ |
| Conjugacy classes for this refined passport: | $3, 6, 9$ |
The full automorphism group for this family is $C_2.C_2^4:D_5$ with signature $[ 0; 2, 4, 5 ]$.
| Jacobian variety group algebra decomposition: | $A_{2}^{2}\times E^{5}$ |
| Corresponding character(s): | $6, 13$ |
Generating vector(s)
Displaying the unique generating vector for this refined passport.
9.160-199.0.2-5-5.1.1
| (1,3) (2,4) (5,7) (6,8) (9,11) (10,12) (13,15) (14,16) (17,19) (18,20) (21,23) (22,24) (25,27) (26,28) (29,31) (30,32) (33,35) (34,36) (37,39) (38,40) (41,43) (42,44) (45,47) (46,48) (49,51) (50,52) (53,55) (54,56) (57,59) (58,60) (61,63) (62,64) (65,67) (66,68) (69,71) (70,72) (73,75) (74,76) (77,79) (78,80) (81,83) (82,84) (85,87) (86,88) (89,91) (90,92) (93,95) (94,96) (97,99) (98,100) (101,103) (102,104) (105,107) (106,108) (109,111) (110,112) (113,115) (114,116) (117,119) (118,120) (121,123) (122,124) (125,127) (126,128) (129,131) (130,132) (133,135) (134,136) (137,139) (138,140) (141,143) (142,144) (145,147) (146,148) (149,151) (150,152) (153,155) (154,156) (157,159) (158,160) | |
| (1,52,80,102,137) (2,51,79,101,138) (3,45,92,125,153) (4,46,91,126,154) (5,42,66,115,143) (6,41,65,116,144) (7,56,86,107,159) (8,55,85,108,160) (9,33,84,112,134) (10,34,83,111,133) (11,63,71,120,150) (12,64,72,119,149) (13,60,93,121,131) (14,59,94,122,132) (15,37,74,98,147) (16,38,73,97,148) (17,49,81,113,145) (18,50,82,114,146) (19,47,69,106,130) (20,48,70,105,129) (21,44,96,104,151) (22,43,95,103,152) (23,53,76,128,136) (24,54,75,127,135) (25,35,77,124,157) (26,36,78,123,158) (27,62,90,100,142) (28,61,89,99,141) (29,57,67,109,156) (30,58,68,110,155) (31,39,88,118,139) (32,40,87,117,140) | |
| (1,139,120,69,45) (2,140,119,70,46) (3,155,112,82,52) (4,156,111,81,51) (5,141,97,75,56) (6,142,98,76,55) (7,157,122,96,42) (8,158,121,95,41) (9,136,126,89,63) (10,135,125,90,64) (11,152,101,77,33) (12,151,102,78,34) (13,129,107,88,37) (14,130,108,87,38) (15,145,115,68,60) (16,146,116,67,59) (17,147,100,92,47) (18,148,99,91,48) (19,132,124,79,49) (20,131,123,80,50) (21,149,117,85,53) (22,150,118,86,54) (23,134,110,66,44) (24,133,109,65,43) (25,159,105,72,62) (26,160,106,71,61) (27,144,114,84,35) (28,143,113,83,36) (29,154,128,74,39) (30,153,127,73,40) (31,137,104,94,57) (32,138,103,93,58) |