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

• Label: 10.60-10.0.2-6-30.5
• 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:

$4, 11, 23$

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.

10.60-10.0.2-6-30.5.1

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