One refined passport of genus 14 with automorphism group $C_{15}:C_4$

• Label: 14.60-7.0.4-4-15.1
• Genus: \(14\)
• Quotient genus: \(0\)
• Group: \(C_{15}:C_4\)
• Signature: \([ 0; 4, 4, 15 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$14$
Quotient genus:	$0$
Group name:	$C_{15}:C_4$
Group identifier:	$[60,7]$
Signature:	$[ 0; 4, 4, 15 ]$

Conjugacy classes for this refined passport:

$4, 5, 8$

Jacobian variety group algebra decomposition:	$A_{2}\times E^{4}\times A_{2}^{4}$
Corresponding character(s):	$6, 7, 8$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

14.60-7.0.4-4-15.1.1

	(1,31,16,46) (2,34,20,48) (3,32,19,50) (4,35,18,47) (5,33,17,49) (6,41,21,56) (7,44,25,58) (8,42,24,60) (9,45,23,57) (10,43,22,59) (11,36,26,51) (12,39,30,53) (13,37,29,55) (14,40,28,52) (15,38,27,54)
	(1,60,18,44) (2,57,17,42) (3,59,16,45) (4,56,20,43) (5,58,19,41) (6,55,23,39) (7,52,22,37) (8,54,21,40) (9,51,25,38) (10,53,24,36) (11,50,28,34) (12,47,27,32) (13,49,26,35) (14,46,30,33) (15,48,29,31)
	(1,7,13,4,10,11,2,8,14,5,6,12,3,9,15) (16,22,28,19,25,26,17,23,29,20,21,27,18,24,30) (31,37,43,34,40,41,32,38,44,35,36,42,33,39,45) (46,52,58,49,55,56,47,53,59,50,51,57,48,54,60)