Properties

Genus \(13\)
Quotient Genus \(0\)
Group \((C_2^2\times C_4).D_4\)
Signature \([ 0; 2, 4, 16 ]\)
Generating Vectors \(1\)

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Family Information

Genus: 13
Quotient Genus: 0
Group name: $(C_2^2\times C_4).D_4$
Group identifier: [128,71]
Signature: $[ 0; 2, 4, 16 ]$
Conjugacy classes for this refined passport: 5, 9, 18

Jacobian variety group algebra decomposition:$E\times E^{2}\times E^{2}\times E^{8}$
Corresponding character(s): 5, 11, 16, 20

Other Data

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

Generating Vector(s)

Displaying the unique generating vector for this refined passport.

13.128-71.0.2-4-16.1.1

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