Properties

Genus \(7\)
Quotient Genus \(0\)
Group \(\SL(2,3):S_3\)
Signature \([ 0; 2, 3, 12 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 7
Quotient Genus: 0
Group name: $\SL(2,3):S_3$
Group identifier: [144,127]
Signature: $[ 0; 2, 3, 12 ]$
Conjugacy classes for this refined passport: 3, 7, 21

Jacobian variety group algebra decomposition:$E\times E^{2}\times E^{4}$
Corresponding character(s): 4, 10, 19

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

7.144-127.0.2-3-12.2.1

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