One refined passport of genus 14 with automorphism group $C_5\times D_7$

• Label: 14.70-2.0.2-10-35.1
• Genus: \(14\)
• Quotient genus: \(0\)
• Group: \(C_5\times D_7\)
• Signature: \([ 0; 2, 10, 35 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$14$
Quotient genus:	$0$
Group name:	$C_5\times D_7$
Group identifier:	$[70,2]$
Signature:	$[ 0; 2, 10, 35 ]$

Conjugacy classes for this refined passport:

$2, 10, 17$

Jacobian variety group algebra decomposition:	$A_{2}\times A_{6}^{2}$
Corresponding character(s):	$3, 14$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

14.70-2.0.2-10-35.1.1

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