Properties

Genus \(10\)
Quotient Genus \(0\)
Group \(PSU(3,2):C_2\)
Signature \([ 0; 2, 4, 8 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 10
Quotient Genus: 0
Group name: $PSU(3,2):C_2$
Group identifier: [144,182]
Signature: $[ 0; 2, 4, 8 ]$
Conjugacy classes for this refined passport: 3, 6, 8

The full automorphism group for this family is $AGL(2,3)$ with signature $[ 0; 2, 3, 8 ]$.

Jacobian variety group algebra decomposition:$E^{2}\times E^{8}$
Corresponding character(s): 6, 8

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

10.144-182.0.2-4-8.1.1

  (1,37) (2,39) (3,38) (4,42) (5,41) (6,40) (7,44) (8,43) (9,45) (10,46) (11,48) (12,47) (13,51) (14,50) (15,49) (16,53) (17,52) (18,54) (19,64) (20,66) (21,65) (22,69) (23,68) (24,67) (25,71) (26,70) (27,72) (28,55) (29,57) (30,56) (31,60) (32,59) (33,58) (34,62) (35,61) (36,63) (73,109) (74,111) (75,110) (76,114) (77,113) (78,112) (79,116) (80,115) (81,117) (82,118) (83,120) (84,119) (85,123) (86,122) (87,121) (88,125) (89,124) (90,126) (91,136) (92,138) (93,137) (94,141) (95,140) (96,139) (97,143) (98,142) (99,144) (100,127) (101,129) (102,128) (103,132) (104,131) (105,130) (106,134) (107,133) (108,135)
  (1,119,17,115) (2,125,16,109) (3,122,18,112) (4,120,14,117) (5,126,13,111) (6,123,15,114) (7,118,11,116) (8,124,10,110) (9,121,12,113) (19,128,35,142) (20,134,34,136) (21,131,36,139) (22,129,32,144) (23,135,31,138) (24,132,33,141) (25,127,29,143) (26,133,28,137) (27,130,30,140) (37,101,53,97) (38,107,52,91) (39,104,54,94) (40,102,50,99) (41,108,49,93) (42,105,51,96) (43,100,47,98) (44,106,46,92) (45,103,48,95) (55,83,71,79) (56,89,70,73) (57,86,72,76) (58,84,68,81) (59,90,67,75) (60,87,69,78) (61,82,65,80) (62,88,64,74) (63,85,66,77)
  (1,80,21,96,13,90,32,101) (2,73,26,93,15,85,36,104) (3,78,22,99,14,83,28,107) (4,81,23,92,10,89,30,105) (5,74,19,98,12,87,31,108) (6,76,27,95,11,82,35,102) (7,79,25,97,16,88,34,106) (8,75,24,94,18,86,29,100) (9,77,20,91,17,84,33,103) (37,143,57,114,49,135,68,119) (38,136,62,111,51,130,72,122) (39,141,58,117,50,128,64,125) (40,144,59,110,46,134,66,123) (41,137,55,116,48,132,67,126) (42,139,63,113,47,127,71,120) (43,142,61,115,52,133,70,124) (44,138,60,112,54,131,65,118) (45,140,56,109,53,129,69,121)