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

• Label: 12.56-9.0.2-14-28.7
• 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:

$4, 18, 35$

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.

12.56-9.0.2-14-28.7.1

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