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

• Label: 10.63-3.0.3-3-21.6
• 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:

$5, 6, 14$

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.

10.63-3.0.3-3-21.6.1

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