Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(S_3^2:C_4\)
Signature \([ 0; 2, 4, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $S_3^2:C_4$
Group identifier: [144,115]
Signature: $[ 0; 2, 4, 12 ]$
Conjugacy classes for this refined passport: 3, 11, 18

Jacobian variety group algebra decomposition:$E\times E^{4}\times E^{4}\times E^{4}$
Corresponding character(s): 6, 12, 16, 17

Other Data

Hyperelliptic curve(s):No
Cyclic trigonal curve(s):No

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.144-115.0.2-4-12.1.1

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