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

• Label: 10.63-3.0.3-3-21.11
• 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:

$7, 8, 13$

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.

10.63-3.0.3-3-21.11.1

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