One refined passport of genus 5 with automorphism group $\GL(2,\mathbb{Z}/4)$

• Label: 5.96-195.0.2-4-6.2
• Genus: \(5\)
• Quotient genus: \(0\)
• Group: \(\GL(2,\mathbb{Z}/4)\)
• Signature: \([ 0; 2, 4, 6 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$5$
Quotient genus:	$0$
Group name:	$\GL(2,\mathbb{Z}/4)$
Group identifier:	$[96,195]$
Signature:	$[ 0; 2, 4, 6 ]$

Conjugacy classes for this refined passport:

$7, 11, 14$

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

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

5.96-195.0.2-4-6.2.1

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