One refined passport of genus 9 with automorphism group $C_{19}:C_3$

• Label: 9.57-1.0.3-3-19.1
• Genus: \(9\)
• Quotient genus: \(0\)
• Group: \(C_{19}:C_3\)
• Signature: \([ 0; 3, 3, 19 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$9$
Quotient genus:	$0$
Group name:	$C_{19}:C_3$
Group identifier:	$[57,1]$
Signature:	$[ 0; 3, 3, 19 ]$

Conjugacy classes for this refined passport:

$2, 3, 4$

Jacobian variety group algebra decomposition:	$A_{3}^{3}$
Corresponding character(s):	$4$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

9.57-1.0.3-3-19.1.1

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