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

• Label: 10.60-10.0.2-6-30.3
• 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:

$3, 14, 21$

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.

10.60-10.0.2-6-30.3.1

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