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

• Label: 8.84-7.0.2-6-6.1
• 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:

$3, 7, 12$

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.

8.84-7.0.2-6-6.1.1

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