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

• Label: 12.56-9.0.2-14-28.4
• 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:

$3, 27, 32$

Jacobian variety group algebra decomposition:	$A_{3}\times A_{3}\times A_{3}^{2}$
Corresponding character(s):	$5, 7, 30$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

12.56-9.0.2-14-28.4.1

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