One refined passport of genus 8 with automorphism group $C_2\times F_7$

• Label: 8.84-7.0.2-6-6.3
• Genus: \(8\)
• Quotient genus: \(0\)
• Group: \(C_2\times F_7\)
• Signature: \([ 0; 2, 6, 6 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$8$
Quotient genus:	$0$
Group name:	$C_2\times F_7$
Group identifier:	$[84,7]$
Signature:	$[ 0; 2, 6, 6 ]$

Conjugacy classes for this refined passport:

$4, 7, 10$

Jacobian variety group algebra decomposition:	$E\times E\times E^{6}$
Corresponding character(s):	$5, 6, 13$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

8.84-7.0.2-6-6.3.1

	(1,64) (2,70) (3,69) (4,68) (5,67) (6,66) (7,65) (8,71) (9,77) (10,76) (11,75) (12,74) (13,73) (14,72) (15,78) (16,84) (17,83) (18,82) (19,81) (20,80) (21,79) (22,43) (23,49) (24,48) (25,47) (26,46) (27,45) (28,44) (29,50) (30,56) (31,55) (32,54) (33,53) (34,52) (35,51) (36,57) (37,63) (38,62) (39,61) (40,60) (41,59) (42,58)
	(1,33,21,22,12,42) (2,30,16,23,9,37) (3,34,18,24,13,39) (4,31,20,25,10,41) (5,35,15,26,14,36) (6,32,17,27,11,38) (7,29,19,28,8,40) (43,75,63,64,54,84) (44,72,58,65,51,79) (45,76,60,66,55,81) (46,73,62,67,52,83) (47,77,57,68,56,78) (48,74,59,69,53,80) (49,71,61,70,50,82)
	(1,58,14,46,17,54) (2,63,11,45,19,50) (3,61,8,44,21,53) (4,59,12,43,16,56) (5,57,9,49,18,52) (6,62,13,48,20,55) (7,60,10,47,15,51) (22,79,35,67,38,75) (23,84,32,66,40,71) (24,82,29,65,42,74) (25,80,33,64,37,77) (26,78,30,70,39,73) (27,83,34,69,41,76) (28,81,31,68,36,72)