Properties

Label 13.128-79.0.2-4-16.16
Genus \(13\)
Quotient genus \(0\)
Group \(C_2^2.D_{16}\)
Signature \([ 0; 2, 4, 16 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $13$
Quotient genus: $0$
Group name: $C_2^2.D_{16}$
Group identifier: $[128,79]$
Signature: $[ 0; 2, 4, 16 ]$
Conjugacy classes for this refined passport: $7, 14, 28$

Jacobian variety group algebra decomposition:$E\times E^{2}\times E^{2}\times A_{2}^{2}\times E^{4}$
Corresponding character(s): $6, 12, 17, 21, 28$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.128-79.0.2-4-16.16.1

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