Properties

Label 12.120-38.0.2-4-15.2
Genus \(12\)
Quotient genus \(0\)
Group \(C_5:S_4\)
Signature \([ 0; 2, 4, 15 ]\)
Generating Vectors \(1\)

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Family Information

Genus: $12$
Quotient genus: $0$
Group name: $C_5:S_4$
Group identifier: $[120,38]$
Signature: $[ 0; 2, 4, 15 ]$
Conjugacy classes for this refined passport: $3, 5, 11$

Jacobian variety group algebra decomposition:$A_{2}^{6}$
Corresponding character(s): $12$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

12.120-38.0.2-4-15.2.1

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