One refined passport of genus 15 with automorphism group $\GU(2,3)$

• Label: 15.96-67.0.3-4-8.4
• Genus: \(15\)
• Quotient genus: \(0\)
• Group: \(\GU(2,3)\)
• Signature: \([ 0; 3, 4, 8 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$15$
Quotient genus:	$0$
Group name:	$\GU(2,3)$
Group identifier:	$[96,67]$
Signature:	$[ 0; 3, 4, 8 ]$

Conjugacy classes for this refined passport:

$4, 11, 13$

Jacobian variety group algebra decomposition:	$A_{2}\times E^{2}\times A_{2}^{2}\times E^{3}\times E^{4}$
Corresponding character(s):	$6, 7, 8, 13, 15$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.96-67.0.3-4-8.4.1

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