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

• Label: 10.60-10.0.2-6-30.4
• 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:

$3, 14, 22$

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.

10.60-10.0.2-6-30.4.1

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