Properties

Label 13.128-71.0.2-4-16.5
Genus \(13\)
Quotient genus \(0\)
Group \(C_2^3.D_8\)
Signature \([ 0; 2, 4, 16 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $13$
Quotient genus: $0$
Group name: $C_2^3.D_8$
Group identifier: $[128,71]$
Signature: $[ 0; 2, 4, 16 ]$
Conjugacy classes for this refined passport: $5, 11, 18$

Jacobian variety group algebra decomposition:$E\times E^{2}\times E^{2}\times E^{8}$
Corresponding character(s): $5, 12, 16, 20$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.128-71.0.2-4-16.5.1

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