Properties

Label 12.110-1.0.2-5-10.2
Genus \(12\)
Quotient genus \(0\)
Group \(F_{11}\)
Signature \([ 0; 2, 5, 10 ]\)
Generating Vectors \(1\)

Related objects

Downloads

Learn more

Family Information

Genus: $12$
Quotient genus: $0$
Group name: $F_{11}$
Group identifier: $[110,1]$
Signature: $[ 0; 2, 5, 10 ]$
Conjugacy classes for this refined passport: $2, 4, 8$

Jacobian variety group algebra decomposition:$A_{2}\times E^{10}$
Corresponding character(s): $6, 11$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

12.110-1.0.2-5-10.2.1

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