One refined passport of genus 12 with automorphism group $C_5:S_4$

• Label: 12.120-38.0.2-4-15.4
• Genus: \(12\)
• Quotient genus: \(0\)
• Group: \(C_5:S_4\)
• Signature: \([ 0; 2, 4, 15 ]\)
• Generating Vectors: \(1\)

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:

$3, 5, 13$

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.

12.120-38.0.2-4-15.4.1

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