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

• Label: 12.56-9.0.2-14-28.2
• 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:

$3, 25, 34$

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.

12.56-9.0.2-14-28.2.1

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