One refined passport of genus 15 with automorphism group $C_6:D_4$

• Label: 15.48-43.0.2-2-4-6.14
• Genus: \(15\)
• Quotient genus: \(0\)
• Group: \(C_6:D_4\)
• Signature: \([ 0; 2, 2, 4, 6 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$15$
Quotient genus:	$0$
Group name:	$C_6:D_4$
Group identifier:	$[48,43]$
Signature:	$[ 0; 2, 2, 4, 6 ]$

Conjugacy classes for this refined passport:

$4, 8, 10, 14$

Jacobian variety group algebra decomposition:	$E\times E^{2}\times E^{2}\times E^{2}\times A_{3}^{2}\times E^{2}$
Corresponding character(s):	$6, 9, 10, 14, 15, 16$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.48-43.0.2-2-4-6.14.1

	(1,16) (2,17) (3,18) (4,13) (5,14) (6,15) (7,22) (8,23) (9,24) (10,19) (11,20) (12,21) (25,40) (26,41) (27,42) (28,37) (29,38) (30,39) (31,46) (32,47) (33,48) (34,43) (35,44) (36,45)
	(1,37) (2,39) (3,38) (4,40) (5,42) (6,41) (7,46) (8,48) (9,47) (10,43) (11,45) (12,44) (13,25) (14,27) (15,26) (16,28) (17,30) (18,29) (19,34) (20,36) (21,35) (22,31) (23,33) (24,32)
	(1,33,4,36) (2,32,5,35) (3,31,6,34) (7,30,10,27) (8,29,11,26) (9,28,12,25) (13,45,16,48) (14,44,17,47) (15,43,18,46) (19,42,22,39) (20,41,23,38) (21,40,24,37)
	(1,11,3,10,2,12) (4,8,6,7,5,9) (13,23,15,22,14,24) (16,20,18,19,17,21) (25,35,27,34,26,36) (28,32,30,31,29,33) (37,47,39,46,38,48) (40,44,42,43,41,45)