One refined passport of genus 13 with automorphism group $D_4:C_2^2$

• Label: 13.32-49.0.2-2-2-2-4.15
• Genus: \(13\)
• Quotient genus: \(0\)
• Group: \(D_4:C_2^2\)
• Signature: \([ 0; 2, 2, 2, 2, 4 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$13$
Quotient genus:	$0$
Group name:	$D_4:C_2^2$
Group identifier:	$[32,49]$
Signature:	$[ 0; 2, 2, 2, 2, 4 ]$

Conjugacy classes for this refined passport:

$3, 7, 8, 9, 12$

Jacobian variety group algebra decomposition:	$E\times E\times E\times E\times E\times A_{2}^{4}$
Corresponding character(s):	$4, 6, 7, 13, 15, 17$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.32-49.0.2-2-2-2-4.15.1

	(1,3) (2,4) (5,7) (6,8) (9,11) (10,12) (13,15) (14,16) (17,19) (18,20) (21,23) (22,24) (25,27) (26,28) (29,31) (30,32)
	(1,11) (2,12) (3,9) (4,10) (5,16) (6,15) (7,14) (8,13) (17,27) (18,28) (19,25) (20,26) (21,32) (22,31) (23,30) (24,29)
	(1,17) (2,18) (3,20) (4,19) (5,21) (6,22) (7,24) (8,23) (9,26) (10,25) (11,27) (12,28) (13,30) (14,29) (15,31) (16,32)
	(1,21) (2,22) (3,24) (4,23) (5,17) (6,18) (7,20) (8,19) (9,30) (10,29) (11,31) (12,32) (13,26) (14,25) (15,27) (16,28)
	(1,14,2,13) (3,16,4,15) (5,9,6,10) (7,11,8,12) (17,30,18,29) (19,32,20,31) (21,25,22,26) (23,27,24,28)