One refined passport of genus 10 with automorphism group $C_{21}:C_3$

• Label: 10.63-3.0.3-3-21.9
• Genus: \(10\)
• Quotient genus: \(0\)
• Group: \(C_{21}:C_3\)
• Signature: \([ 0; 3, 3, 21 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$10$
Quotient genus:	$0$
Group name:	$C_{21}:C_3$
Group identifier:	$[63,3]$
Signature:	$[ 0; 3, 3, 21 ]$

Conjugacy classes for this refined passport:

$6, 9, 12$

Jacobian variety group algebra decomposition:	$E\times E^{3}\times A_{2}^{3}$
Corresponding character(s):	$3, 10, 12$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

10.63-3.0.3-3-21.9.1

	(1,29,57) (2,31,61) (3,33,58) (4,35,62) (5,30,59) (6,32,63) (7,34,60) (8,36,43) (9,38,47) (10,40,44) (11,42,48) (12,37,45) (13,39,49) (14,41,46) (15,22,50) (16,24,54) (17,26,51) (18,28,55) (19,23,52) (20,25,56) (21,27,53)
	(1,55,40) (2,52,42) (3,56,37) (4,53,39) (5,50,41) (6,54,36) (7,51,38) (8,62,26) (9,59,28) (10,63,23) (11,60,25) (12,57,27) (13,61,22) (14,58,24) (15,48,33) (16,45,35) (17,49,30) (18,46,32) (19,43,34) (20,47,29) (21,44,31)
	(1,10,19,7,9,18,6,8,17,5,14,16,4,13,15,3,12,21,2,11,20) (22,31,40,28,30,39,27,29,38,26,35,37,25,34,36,24,33,42,23,32,41) (43,52,61,49,51,60,48,50,59,47,56,58,46,55,57,45,54,63,44,53,62)