Properties

Label 13.128-71.0.2-4-16.8
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: $5, 12, 19$

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.

13.128-71.0.2-4-16.8.1

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