One refined passport of genus 12 with automorphism group $C_7\times D_4$

• Label: 12.56-9.0.2-14-28.8
• Genus: \(12\)
• Quotient genus: \(0\)
• Group: \(C_7\times D_4\)
• Signature: \([ 0; 2, 14, 28 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$12$
Quotient genus:	$0$
Group name:	$C_7\times D_4$
Group identifier:	$[56,9]$
Signature:	$[ 0; 2, 14, 28 ]$

Conjugacy classes for this refined passport:

$4, 19, 34$

Jacobian variety group algebra decomposition:	$A_{3}\times A_{3}\times A_{3}^{2}$
Corresponding character(s):	$5, 6, 30$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

12.56-9.0.2-14-28.8.1

	(1,29) (2,30) (3,31) (4,32) (5,33) (6,34) (7,35) (8,36) (9,37) (10,38) (11,39) (12,40) (13,41) (14,42) (15,44) (16,43) (17,46) (18,45) (19,48) (20,47) (21,50) (22,49) (23,52) (24,51) (25,54) (26,53) (27,56) (28,55)
	(1,21,13,19,11,17,9,15,7,27,5,25,3,23) (2,22,14,20,12,18,10,16,8,28,6,26,4,24) (29,49,41,47,39,45,37,43,35,55,33,53,31,51) (30,50,42,48,40,46,38,44,36,56,34,54,32,52)
	(1,52,4,53,5,56,8,43,9,46,12,47,13,50,2,51,3,54,6,55,7,44,10,45,11,48,14,49) (15,37,18,40,19,41,22,30,23,31,26,34,27,35,16,38,17,39,20,42,21,29,24,32,25,33,28,36)