One refined passport of genus 13 with automorphism group $A_4\times D_6$

• Label: 13.144-190.0.2-6-6.1
• Genus: \(13\)
• Quotient genus: \(0\)
• Group: \(A_4\times D_6\)
• Signature: \([ 0; 2, 6, 6 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$13$
Quotient genus:	$0$
Group name:	$A_4\times D_6$
Group identifier:	$[144,190]$
Signature:	$[ 0; 2, 6, 6 ]$

Conjugacy classes for this refined passport:

$7, 19, 24$

Jacobian variety group algebra decomposition:	$E\times E\times E^{2}\times E^{3}\times E^{6}$
Corresponding character(s):	$6, 8, 15, 21, 24$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

13.144-190.0.2-6-6.1.1

	(1,76) (2,78) (3,77) (4,73) (5,75) (6,74) (7,82) (8,84) (9,83) (10,79) (11,81) (12,80) (13,88) (14,90) (15,89) (16,85) (17,87) (18,86) (19,94) (20,96) (21,95) (22,91) (23,93) (24,92) (25,100) (26,102) (27,101) (28,97) (29,99) (30,98) (31,106) (32,108) (33,107) (34,103) (35,105) (36,104) (37,112) (38,114) (39,113) (40,109) (41,111) (42,110) (43,118) (44,120) (45,119) (46,115) (47,117) (48,116) (49,124) (50,126) (51,125) (52,121) (53,123) (54,122) (55,130) (56,132) (57,131) (58,127) (59,129) (60,128) (61,136) (62,138) (63,137) (64,133) (65,135) (66,134) (67,142) (68,144) (69,143) (70,139) (71,141) (72,140)
	(1,50,27,37,14,63) (2,51,25,38,15,61) (3,49,26,39,13,62) (4,56,36,40,20,72) (5,57,34,41,21,70) (6,55,35,42,19,71) (7,59,30,43,23,66) (8,60,28,44,24,64) (9,58,29,45,22,65) (10,53,33,46,17,69) (11,54,31,47,18,67) (12,52,32,48,16,68) (73,122,99,109,86,135) (74,123,97,110,87,133) (75,121,98,111,85,134) (76,128,108,112,92,144) (77,129,106,113,93,142) (78,127,107,114,91,143) (79,131,102,115,95,138) (80,132,100,116,96,136) (81,130,101,117,94,137) (82,125,105,118,89,141) (83,126,103,119,90,139) (84,124,104,120,88,140)
	(1,137,19,110,28,128) (2,136,20,109,29,127) (3,138,21,111,30,129) (4,140,13,113,31,122) (5,139,14,112,32,121) (6,141,15,114,33,123) (7,134,16,116,25,125) (8,133,17,115,26,124) (9,135,18,117,27,126) (10,143,22,119,34,131) (11,142,23,118,35,130) (12,144,24,120,36,132) (37,101,55,74,64,92) (38,100,56,73,65,91) (39,102,57,75,66,93) (40,104,49,77,67,86) (41,103,50,76,68,85) (42,105,51,78,69,87) (43,98,52,80,61,89) (44,97,53,79,62,88) (45,99,54,81,63,90) (46,107,58,83,70,95) (47,106,59,82,71,94) (48,108,60,84,72,96)