Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(A_4^2\)
Signature \([ 0; 3, 3, 6 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $A_4^2$
Group identifier: [144,184]
Signature: $[ 0; 3, 3, 6 ]$
Conjugacy classes for this refined passport: 9, 11, 15

The full automorphism group for this family is $A_4\times S_4$ with signature $[ 0; 2, 3, 12 ]$.

Jacobian variety group algebra decomposition:$E\times E^{3}\times E^{9}$
Corresponding character(s): 3, 12, 16

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.144-184.0.3-3-6.1.1

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