Properties

Genus \(13\)
Quotient Genus \(0\)
Group \(C_2^2:D_8.C_2\)
Signature \([ 0; 2, 4, 16 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $C_2^2:D_8.C_2$
Group identifier: [128,79]
Signature: $[ 0; 2, 4, 16 ]$
Conjugacy classes for this refined passport: 7, 11, 23

Jacobian variety group algebra decomposition:$E\times E^{2}\times E^{2}\times A_{2}^{2}\times E^{4}$
Corresponding character(s): 6, 11, 17, 21, 28

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.128-79.0.2-4-16.1.1

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