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

• Label: 13.32-49.0.2-2-2-2-4.16
• 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:

$3, 7, 10, 11, 13$

Jacobian variety group algebra decomposition:	$E\times E\times E\times E\times E\times A_{2}^{4}$
Corresponding character(s):	$2, 6, 7, 9, 10, 17$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.32-49.0.2-2-2-2-4.16.1

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