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

• Label: 10.60-10.0.2-6-30.2
• 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:

$3, 13, 24$

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.

10.60-10.0.2-6-30.2.1

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