One refined passport of genus 11 with automorphism group $S_3\times F_5$

• Label: 11.120-36.0.2-4-12.1
• Genus: \(11\)
• Quotient genus: \(0\)
• Group: \(S_3\times F_5\)
• Signature: \([ 0; 2, 4, 12 ]\)
• Generating Vectors: \(1\)

Family Information

Genus:	$11$
Quotient genus:	$0$
Group name:	$S_3\times F_5$
Group identifier:	$[120,36]$
Signature:	$[ 0; 2, 4, 12 ]$

Conjugacy classes for this refined passport:

$4, 8, 13$

Jacobian variety group algebra decomposition:	$E\times E^{2}\times E^{8}$
Corresponding character(s):	$6, 11, 15$

Other Data

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

Generating vector(s)

Displaying the unique generating vector for this refined passport.

11.120-36.0.2-4-12.1.1

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