One refined passport of genus 10 with automorphism group $C_3\times D_{10}$

• Label: 10.60-10.0.2-6-30.8
• Genus: \(10\)
• Quotient genus: \(0\)
• Group: \(C_3\times D_{10}\)
• Signature: \([ 0; 2, 6, 30 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$10$
Quotient genus:	$0$
Group name:	$C_3\times D_{10}$
Group identifier:	$[60,10]$
Signature:	$[ 0; 2, 6, 30 ]$

Conjugacy classes for this refined passport:

$4, 12, 22$

Jacobian variety group algebra decomposition:	$E\times E\times A_{2}^{2}\times A_{2}^{2}$
Corresponding character(s):	$5, 7, 17, 19$

Other Data

Hyperelliptic curve(s):	no
Cyclic trigonal curve(s):	yes
Trigonal automorphism:	(1,6,11) (2,7,12) (3,8,13) (4,9,14) (5,10,15) (16,21,26) (17,22,27) (18,23,28) (19,24,29) (20,25,30) (31,36,41) (32,37,42) (33,38,43) (34,39,44) (35,40,45) (46,51,56) (47,52,57) (48,53,58) (49,54,59) (50,55,60)

Generating vector(s)

Displaying the unique generating vector for this refined passport.

10.60-10.0.2-6-30.8.1

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