One refined passport of genus 15 with automorphism group $C_7\times D_5$

• Label: 15.70-1.0.2-14-35.1
• Genus: \(15\)
• Quotient genus: \(0\)
• Group: \(C_7\times D_5\)
• Signature: \([ 0; 2, 14, 35 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$15$
Quotient genus:	$0$
Group name:	$C_7\times D_5$
Group identifier:	$[70,1]$
Signature:	$[ 0; 2, 14, 35 ]$

Conjugacy classes for this refined passport:

$2, 11, 21$

Jacobian variety group algebra decomposition:	$A_{3}\times A_{6}^{2}$
Corresponding character(s):	$4, 17$

Other Data

Hyperelliptic curve(s):	no
Cyclic trigonal curve(s):	no

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.70-1.0.2-14-35.1.1

	(1,36) (2,40) (3,39) (4,38) (5,37) (6,41) (7,45) (8,44) (9,43) (10,42) (11,46) (12,50) (13,49) (14,48) (15,47) (16,51) (17,55) (18,54) (19,53) (20,52) (21,56) (22,60) (23,59) (24,58) (25,57) (26,61) (27,65) (28,64) (29,63) (30,62) (31,66) (32,70) (33,69) (34,68) (35,67)
	(1,45,11,55,21,65,31,40,6,50,16,60,26,70) (2,44,12,54,22,64,32,39,7,49,17,59,27,69) (3,43,13,53,23,63,33,38,8,48,18,58,28,68) (4,42,14,52,24,62,34,37,9,47,19,57,29,67) (5,41,15,51,25,61,35,36,10,46,20,56,30,66)
	(1,32,28,24,20,11,7,3,34,30,21,17,13,9,5,31,27,23,19,15,6,2,33,29,25,16,12,8,4,35,26,22,18,14,10) (36,67,63,59,55,46,42,38,69,65,56,52,48,44,40,66,62,58,54,50,41,37,68,64,60,51,47,43,39,70,61,57,53,49,45)