One refined passport of genus 5 with automorphism group $C_2\wr C_4$

• Label: 5.64-32.0.2-4-8.4
• Genus: \(5\)
• Quotient genus: \(0\)
• Group: \(C_2\wr C_4\)
• Signature: \([ 0; 2, 4, 8 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$5$
Quotient genus:	$0$
Group name:	$C_2\wr C_4$
Group identifier:	$[64,32]$
Signature:	$[ 0; 2, 4, 8 ]$

Conjugacy classes for this refined passport:

$7, 11, 12$

Jacobian variety group algebra decomposition:	$E\times E^{4}$
Corresponding character(s):	$5, 11$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

5.64-32.0.2-4-8.4.1

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