One refined passport of genus 11 with automorphism group $C_2\times \GL(2,3)$

• Label: 11.96-189.0.2-6-8.2
• Genus: \(11\)
• Quotient genus: \(0\)
• Group: \(C_2\times \GL(2,3)\)
• Signature: \([ 0; 2, 6, 8 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$11$
Quotient genus:	$0$
Group name:	$C_2\times \GL(2,3)$
Group identifier:	$[96,189]$
Signature:	$[ 0; 2, 6, 8 ]$

Conjugacy classes for this refined passport:

$5, 11, 16$

Jacobian variety group algebra decomposition:	$E^{2}\times E^{2}\times E^{3}\times E^{4}$
Corresponding character(s):	$7, 8, 11, 15$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

11.96-189.0.2-6-8.2.1

	(1,49) (2,50) (3,53) (4,54) (5,51) (6,52) (7,56) (8,55) (9,65) (10,66) (11,69) (12,70) (13,67) (14,68) (15,72) (16,71) (17,57) (18,58) (19,61) (20,62) (21,59) (22,60) (23,64) (24,63) (25,73) (26,74) (27,77) (28,78) (29,75) (30,76) (31,80) (32,79) (33,89) (34,90) (35,93) (36,94) (37,91) (38,92) (39,96) (40,95) (41,81) (42,82) (43,85) (44,86) (45,83) (46,84) (47,88) (48,87)
	(1,40,19,25,16,43) (2,39,20,26,15,44) (3,33,24,27,9,48) (4,34,23,28,10,47) (5,37,21,29,13,45) (6,38,22,30,14,46) (7,36,18,31,12,42) (8,35,17,32,11,41) (49,88,67,73,64,91) (50,87,68,74,63,92) (51,81,72,75,57,96) (52,82,71,76,58,95) (53,85,69,77,61,93) (54,86,70,78,62,94) (55,84,66,79,60,90) (56,83,65,80,59,89)
	(1,85,3,87,2,86,4,88) (5,83,7,82,6,84,8,81) (9,77,11,79,10,78,12,80) (13,75,15,74,14,76,16,73) (17,93,19,95,18,94,20,96) (21,91,23,90,22,92,24,89) (25,61,27,63,26,62,28,64) (29,59,31,58,30,60,32,57) (33,53,35,55,34,54,36,56) (37,51,39,50,38,52,40,49) (41,69,43,71,42,70,44,72) (45,67,47,66,46,68,48,65)