One refined passport of genus 15 with automorphism group $\SL(2,3):C_2$

• Label: 15.48-33.0.2-2-3-12.4
• Genus: \(15\)
• Quotient genus: \(0\)
• Group: \(\SL(2,3):C_2\)
• Signature: \([ 0; 2, 2, 3, 12 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$15$
Quotient genus:	$0$
Group name:	$\SL(2,3):C_2$
Group identifier:	$[48,33]$
Signature:	$[ 0; 2, 2, 3, 12 ]$

Conjugacy classes for this refined passport:

$2, 3, 5, 13$

Jacobian variety group algebra decomposition:	$E\times A_{3}^{2}\times A_{4}^{2}$
Corresponding character(s):	$3, 7, 9$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

15.48-33.0.2-2-3-12.4.1

	(1,2) (3,4) (5,6) (7,8) (9,10) (11,12) (13,14) (15,16) (17,18) (19,20) (21,22) (23,24) (25,26) (27,28) (29,30) (31,32) (33,34) (35,36) (37,38) (39,40) (41,42) (43,44) (45,46) (47,48)
	(1,27) (2,28) (3,26) (4,25) (5,31) (6,32) (7,30) (8,29) (9,35) (10,36) (11,34) (12,33) (13,39) (14,40) (15,38) (16,37) (17,43) (18,44) (19,42) (20,41) (21,47) (22,48) (23,46) (24,45)
	(1,17,9) (2,18,10) (3,21,15) (4,22,16) (5,23,11) (6,24,12) (7,19,13) (8,20,14) (25,41,33) (26,42,34) (27,45,39) (28,46,40) (29,47,35) (30,48,36) (31,43,37) (32,44,38)
	(1,36,21,25,11,45,2,35,22,26,12,46) (3,37,18,27,14,42,4,38,17,28,13,41) (5,33,19,29,10,43,6,34,20,30,9,44) (7,40,24,31,15,48,8,39,23,32,16,47)